Journal articles on the topic 'R/Z K-Theory'

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1

Boyde, Guy. "p-Hyperbolicity of homotopy groups via K-theory." Mathematische Zeitschrift 301, no. 1 (January 7, 2022): 977–1009. http://dx.doi.org/10.1007/s00209-021-02917-1.

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AbstractWe show that $$S^n \vee S^m$$ S n ∨ S m is $${\mathbb {Z}}/p^r$$ Z / p r -hyperbolic for all primes p and all $$r \in {\mathbb {Z}}^+$$ r ∈ Z + , provided $$n,m \ge 2$$ n , m ≥ 2 , and consequently that various spaces containing $$S^n \vee S^m$$ S n ∨ S m as a p-local retract are $${\mathbb {Z}}/p^r$$ Z / p r -hyperbolic. We then give a K-theory criterion for a suspension $$\Sigma X$$ Σ X to be p-hyperbolic, and use it to deduce that the suspension of a complex Grassmannian $$\Sigma Gr_{k,n}$$ Σ G r k , n is p-hyperbolic for all odd primes p when $$n \ge 3$$ n ≥ 3 and $$0<k<n$$ 0 < k < n . We obtain similar results for some related spaces.
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2

Basu, Devraj. "K-Theory with R/Z Coefficients and von Neumann Algebras." K-Theory 36, no. 3-4 (December 2005): 327–43. http://dx.doi.org/10.1007/s10977-006-7110-2.

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3

Basu, Devraj. "K-Theory with R/Z Coefficients and von Neumann Algebras." K-Theory 38, no. 1 (November 2007): 83. http://dx.doi.org/10.1007/s10977-007-9008-z.

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4

MATTHEY, MICHEL, and HERVÉ OYONO-OYONO. "ALGEBRAIC K-THEORY IN LOW DEGREE AND THE NOVIKOV ASSEMBLY MAP." Proceedings of the London Mathematical Society 85, no. 1 (March 2002): 43–61. http://dx.doi.org/10.1112/s0024611502013461.

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We prove that the Novikov assembly map for a group $\Gamma$ factorizes, in ‘low homological degree’, through the algebraic K-theory of its integral group ring. In homological degree 2, this answers a question posed by N. Higson and P. Julg. As a direct application, we prove that if $\Gamma$ is torsion-free and satisfies the Baum-Connes conjecture, then the homology group $H_{1}(\Gamma;\,\mathbb{Z})$ injects in $K_{1}(C^{*}_{r}\Gamma)$ and in $K_{1}^{\rm alg}(A)$, for any ring $A$ such that $\mathbb{Z}\Gamma\subseteq A\subseteq C^{*}_{r}\Gamma$. If moreover $B\Gamma$ is of dimension less than or equal to 4, then we show that $H_{2}(\Gamma;\,\mathbb{Z})$ injects in $K_{0}(C^{*}_{r}\Gamma)$ and in $K_{2}^{\rm alg}(A)/\Delta_{2}$, where $A$ is as before, and $\Delta_{2}$ is generated by the Steinberg symbols $\{\gamma,\,\gamma\}$, for $\gamma\in\Gamma$. 2000 Mathematical Subject Classification: primary 19D55, 19Kxx, 58J22; secondary: 19Cxx, 19D45, 43A20, 46L85.
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5

Phillips, N. Christopher, and Larry B. Schweitzer. "Representable $K$-theory of smooth crossed products by ${\bf R}$ and ${\bf Z}$." Transactions of the American Mathematical Society 344, no. 1 (January 1, 1994): 173–201. http://dx.doi.org/10.1090/s0002-9947-1994-1219733-4.

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6

Antonini, Paolo, Sara Azzali, and Georges Skandalis. "Bivariant K-theory with R/Z-coefficients and rho classes of unitary representations." Journal of Functional Analysis 270, no. 1 (January 2016): 447–81. http://dx.doi.org/10.1016/j.jfa.2015.06.017.

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7

Golasiński, Marek, and Francisco Gómez Ruiz. "On the algebraic K-theory of $R[X,Y,Z]/(X^2+Y^2+Z^2-1)$." Bulletin of the Belgian Mathematical Society - Simon Stevin 18, no. 5 (November 2011): 849–60. http://dx.doi.org/10.36045/bbms/1323787172.

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8

Hazrat, Roozbeh, and Lia Vaš. "K-theory classification of graded ultramatricial algebras with involution." Forum Mathematicum 31, no. 2 (March 1, 2019): 419–63. http://dx.doi.org/10.1515/forum-2017-0268.

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AbstractWe consider a generalization {K_{0}^{\operatorname{gr}}(R)} of the standard Grothendieck group {K_{0}(R)} of a graded ring R with involution. If Γ is an abelian group, we show that {K_{0}^{\operatorname{gr}}} completely classifies graded ultramatricial {*}-algebras over a Γ-graded {*}-field A such that (1) each nontrivial graded component of A has a unitary element in which case we say that A has enough unitaries, and (2) the zero-component {A_{0}} is 2-proper ({aa^{*}+bb^{*}=0} implies {a=b=0} for any {a,b\in A_{0}}) and {*}-pythagorean (for any {a,b\in A_{0}} one has {aa^{*}+bb^{*}=cc^{*}} for some {c\in A_{0}}). If the involutive structure is not considered, our result implies that {K_{0}^{\operatorname{gr}}} completely classifies graded ultramatricial algebras over any graded field A. If the grading is trivial and the involutive structure is not considered, we obtain some well-known results as corollaries. If R and S are graded matricial {*}-algebras over a Γ-graded {*}-field A with enough unitaries and {f:K_{0}^{\operatorname{gr}}(R)\to K_{0}^{\operatorname{gr}}(S)} is a contractive {\mathbb{Z}[\Gamma]}-module homomorphism, we present a specific formula for a graded {*}-homomorphism {\phi:R\to S} with {K_{0}^{\operatorname{gr}}(\phi)=f}. If the grading is trivial and the involutive structure is not considered, our constructive proof implies the known results with existential proofs. If {A_{0}} is 2-proper and {*}-pythagorean, we also show that two graded {*}-homomorphisms {\phi,\psi:R\to S} are such that {K_{0}^{\operatorname{gr}}(\phi)=K_{0}^{\operatorname{gr}}(\psi)} if and only if there is a unitary element u of degree zero in S such that {\phi(r)=u\psi(r)u^{*}} for any {r\in R}. As an application of our results, we show that the graded version of the Isomorphism Conjecture holds for a class of Leavitt path algebras: if E and F are countable, row-finite, no-exit graphs in which every infinite path ends in a sink or a cycle and K is a 2-proper and {*}-pythagorean field, then the Leavitt path algebras {L_{K}(E)} and {L_{K}(F)} are isomorphic as graded rings if any only if they are isomorphic as graded {*}-algebras. We also present examples which illustrate that {K_{0}^{\operatorname{gr}}} produces a finer invariant than {K_{0}}.
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9

Kuryliak, Andriy, and Oleh Skaskiv. "Wiman’s Type Inequality in Multiple-Circular Domain." Axioms 10, no. 4 (December 17, 2021): 348. http://dx.doi.org/10.3390/axioms10040348.

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In the paper we prove for the first time an analogue of the Wiman inequality in the class of analytic functions f∈A0p(G) in an arbitrary complete Reinhard domain G⊂Cp, p∈N represented by the power series of the form f(z)=f(z1,⋯,zp)=∑‖n‖=0+∞anzn with the domain of convergence G. We have proven the following statement: If f∈Ap(G) and h∈Hp, then for a given ε=(ε1,…,εp)∈R+p and arbitrary δ>0 there exists a set E⊂|G| such that ∫E∩Δεh(r)dr1⋯drpr1⋯rp<+∞ and for all r∈Δε∖E we have Mf(r)≤μf(r)(h(r))p+12lnp2+δh(r)lnp2+δ{μf(r)h(r)}∏j=1p(lnerjεj)p−12+δ. Note, that this assertion at p=1,G=C,h(r)≡const implies the classical Wiman–Valiron theorem for entire functions and at p=1, the G=D:={z∈C:|z|<1},h(r)≡1/(1−r) theorem about the Kővari-type inequality for analytic functions in the unit disc D; p>1 implies some Wiman’s type inequalities for analytic functions of several variables in Cn×Dk, n,k∈Z+,n+k∈N.
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10

Marchuk, O. V., O. V. Smitiukh, Yu Prots, and A. O. Fedorchuk. "Crystal structure of chalcogenides R'xR''yR'''zPbSi2S8 (R' – La, R'' – Tb, R''' – Er)." Physics and Chemistry of Solid State 22, no. 4 (November 10, 2021): 621–29. http://dx.doi.org/10.15330/pcss.22.4.621-629.

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The chalcogenides LaxTbyErzPbSi2S8 were obtained by synthesizing the elementary components in vacuum quartz containers at 1320 K. The synthesized alloys were homogenized by annealing at 770 K during 500 hours. The cell parameters of synthesized sulfides are: a = 0,89576(3) nm, c = 2,65646(8) nm – La1,2Tb0,4Er0,4PbSi2S8; a = 0,89209(1) nm, c = 2,63466(5) nm – La0,9Tb0,2Er0,9PbSi2S8; a = 0,89002(3) nm, c = 2,62714(7) nm – La0,67Tb0,67Er0,67PbSi2S8; a = 0,88993(1) nm, c = 2,62973(4) nm – La0,6Tb1,2Er0,2PbSi2S8; a = 0,885161(7) nm, c = 2,60445(3) nm – La0,2Tb0,9Er0,9PbSi2S8 respectively. The atoms of statistical mixture (La,Tb,Er,Pb) occupy the site 18e (x y 1/4), and the atoms of Si occupy the site 12c (1/3 2/3 z) in the structure of the obtained chalcogenides. Coordinating polyhedra of atoms of the statistical mixture (La, Tb, Er, Pb) are trigonal prism with two additional atoms (CN = 8), and the atoms of Si occupying the crystallographic point system 12c describes with the tetrahedron. According to the results of the experiment, the synthesized chalcogenides crystallize in the structure type of La2PbSi2S8 (hR26,167). The structure of La2PbSi2S8 is described by using the theory of second anion coordination (SAC).
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11

Huang, Liang, and Jiao Chen. "Hörmander type multiplier theorems on bi-parameter anisotropic Hardy spaces." Forum Mathematicum 32, no. 3 (May 1, 2020): 577–94. http://dx.doi.org/10.1515/forum-2019-0268.

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AbstractThe main purpose of this paper is to establish, using the bi-parameter Littlewood–Paley–Stein theory (in particular, the bi-parameter Littlewood–Paley–Stein square functions), a Calderón–Torchinsky type theorem for the following Fourier multipliers on anisotropic product Hardy spaces {H^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}};\vec{A})} ({0<p\leq 1}):T_{m}f(x,y)=\int_{\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}}}m(\xi,\eta)\hat{f% }(\xi,\eta)e^{2\pi i(x\cdot\xi+y\cdot\eta)}\mathop{}\!d\xi\mathop{}\!d\eta.Our main theorem is the following: Assume that {m(\xi,\eta)} is a function on {\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}}} satisfying\sup_{j,k\in\mathbb{Z}}\lVert m_{j,k}\rVert_{W^{(s_{1},s_{2})}(\vec{A})}<\inftywith {s_{1}>\zeta_{1,-}^{-1}(\frac{1}{p}-\frac{1}{2})}, {s_{2}>\zeta_{2,-}^{-1}(\frac{1}{p}-\frac{1}{2})}, where {\zeta_{1,-}} and {\zeta_{2,-}} depend only on the eigenvalues and are defined in the first section. Then {T_{m}} is bounded from {H^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}};\vec{A})} to {H^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}};\vec{A})} for all {0<p\leq 1} and\lVert T_{m}\rVert_{H^{p}(\vec{A})\to H^{p}(\vec{A})}\leq C_{{\vec{A},s_{1},s_% {2},p}}\sup_{j,k\in\mathbb{Z}}\lVert m_{j,k}\rVert_{W^{(s_{1},s_{2})}(\vec{A})},where {W^{(s_{1},s_{2})}(\vec{A})} is a bi-parameter anisotropic Sobolev space on {\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}}} with {C_{{\vec{A},s_{1},s_{2},p}}} is a positive constant that depends on {\vec{A},s_{1},s_{2},p}. Here we use the notations {m_{j,k}(\xi,\eta)=m(A_{1}^{\ast j}\xi,A_{2}^{\ast k}\eta)\varphi^{(1)}(\xi)% \varphi^{(2)}(\eta)}, where {\varphi^{(1)}(\xi)} is a suitable cut-off function on {\mathbb{R}^{n_{1}}} and {\varphi^{(2)}(\eta)} is a suitable cut-off function on {\mathbb{R}^{n_{2}}}, respectively.
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12

SCARPARO, EDUARDO. "Homology of odometers." Ergodic Theory and Dynamical Systems 40, no. 9 (March 13, 2019): 2541–51. http://dx.doi.org/10.1017/etds.2019.13.

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We compute the homology groups of transformation groupoids associated with odometers and show that certain $(\mathbb{Z}\rtimes \mathbb{Z}_{2})$-odometers give rise to counterexamples to the HK conjecture, which relates the homology of an essentially principal, minimal, ample groupoid $G$ with the K-theory of $C_{r}^{\ast }(G)$. We also show that transformation groupoids of odometers satisfy the AH conjecture.
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13

Bürgisser, Peter, and Antonio Lerario. "Probabilistic Schubert calculus." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 760 (March 1, 2020): 1–58. http://dx.doi.org/10.1515/crelle-2018-0009.

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AbstractWe initiate the study of average intersection theory in real Grassmannians. We define the expected degree{\operatorname{edeg}G(k,n)} of the real Grassmannian {G(k,n)} as the average number of real k-planes meeting nontrivially {k(n-k)} random subspaces of {\mathbb{R}^{n}}, all of dimension {n-k}, where these subspaces are sampled uniformly and independently from {G(n-k,n)}. We express {\operatorname{edeg}G(k,n)} in terms of the volume of an invariant convex body in the tangent space to the Grassmannian, and prove that for fixed {k\geq 2} and {n\to\infty},\operatorname{edeg}G(k,n)=\deg G_{\mathbb{C}}(k,n)^{\frac{1}{2}\varepsilon_{k}% +o(1)},where {\deg G_{\mathbb{C}}(k,n)} denotes the degree of the corresponding complex Grassmannian and {\varepsilon_{k}} is monotonically decreasing with {\lim_{k\to\infty}\varepsilon_{k}=1}. In the case of the Grassmannian of lines, we prove the finer asymptotic\operatorname{edeg}G(2,n+1)=\frac{8}{3\pi^{5/2}\sqrt{n}}\biggl{(}\frac{\pi^{2}% }{4}\biggr{)}^{n}(1+\mathcal{O}(n^{-1})).The expected degree turns out to be the key quantity governing questions of the random enumerative geometry of flats. We associate with a semialgebraic set {X\subseteq\mathbb{R}\mathrm{P}^{n-1}} of dimension {n-k-1} its Chow hypersurface {Z(X)\subseteq G(k,n)}, consisting of the k-planes A in {\mathbb{R}^{n}} whose projectivization intersects X. Denoting {N:=k(n-k)}, we show that\mathbb{E}\#(g_{1}Z(X_{1})\cap\cdots\cap g_{N}Z(X_{N}))=\operatorname{edeg}G(k% ,n)\cdot\prod_{i=1}^{N}\frac{|X_{i}|}{|\mathbb{R}\mathrm{P}^{m}|},where each {X_{i}} is of dimension {m=n-k-1}, the expectation is taken with respect to independent uniformly distributed {g_{1},\dots,g_{m}\in O(n)} and {|X_{i}|} denotes the m-dimensional volume of {X_{i}}.
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Kordzaya, Kakhaber, and Goro Nishida. "A duality theorem in Hopf algebras and its application to Morava K-theory of $B\mathbf{Z}/p^r$." Journal of Mathematics of Kyoto University 36, no. 4 (1996): 771–78. http://dx.doi.org/10.1215/kjm/1250518450.

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15

Babenko, V. F., O. V. Kozynenko, and D. S. Skorokhodov. "Inequalities of Carlson-Taikov-Shadrin type in $L_{2,r;\alpha,\beta}((-1,1))$ and $L_{2,e^{-t^2}}(\mathbb{R})$ spaces." Researches in Mathematics 27, no. 2 (January 24, 2020): 45. http://dx.doi.org/10.15421/241914.

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We consider the problem of finding sharp inequalities for the norms of derivatives of the functions. This classical problem arises in Approximation Theory in the beginning of XX century in works of E. Landau, J. Hadamard, G.H. Hardy and J.E. Littlewood. A thorough overview of many known results and related problems can be found in surveys [1, 2] and the book [3].Recall that $L_{2,r;\alpha,\beta}((-1,1))$, $r\in \mathbb{N}$ and $\alpha,\beta> -1$, is the space of measurable functions $x:(-1,1)\to\mathbb{R}$ such that $\|x\|_{2,r;\alpha,\beta} := \int_{-1}^{1} |x(t)|^2(1-t)^{\alpha+r}(1+t)^{\beta+r}\,{\rm d}t < \infty$, and $L_{2,e^{-t^2}}(\mathbb{R})$ is the space of measurable functions $x:\mathbb{R}\to\mathbb{R}$ such that $\|x\|_{2,e^{-t^2}} := \int_{-\infty}^{+\infty} |x(t)|^2e^{-t^2}\,{\rm d}t < \infty$. S.Z. Rafalson [7], S.Z. Rafalson and I.V. Berdnikova [5] obtained analogues of Hardy-Littlewood-Polya inequalities for the norms of derivatives of functions in spaces $L_{2,r;\alpha,\beta}((-1,1))$ and $L_{2,e^{-t^2}}(\mathbb{R})$. Namely, they established sharp inequalities that estimate $\left\|x^{(k)}\right\|_{2,k;\alpha\beta}$, $k\in\mathbb{N}$ and $0 < k < r$, in terms of $\|x\|_{2,0;\alpha,\beta}$ and $\left\|x^{(r)}\right\|_{2,r;\alpha,\beta}$, and sharp inequalities that estimate $\left\|x^{(k)}\right\|_{2,e^{-t^2}}$ in terms of $\left\|x\right\|_{2,e^{-t^2}}$ and $\left\|x^{(r)}\right\|_{2,e^{-t^2}}$. In this paper we obtain the analogues of Taikov-Shadrin inequalities for the norms of derivatives in spaces $L_{2,r;\alpha,\beta}((-1,1))$ and $L_{2,e^{-t^2}}(\mathbb{R})$. Namely, we obtain sharp inequalities that estimate $\left|x^{(k)}(t_0)\right|$, $t_0\in(-1,1)$, $k\in\mathbb{Z}_+$ and $k < r$, in terms of $\|x\|_{2,0;\alpha,\beta}$ and $\left\|x^{(r)}\right\|_{2,r;\alpha,\beta}$, and sharp inequalities that estimate $\left|x^{(k)}(t_0)\right|$, $t_0\in \mathbb{R}$, $k\in\mathbb{Z}_+$ and $k < r$, in terms of $\|x\|_{2,e^{-t^2}}$ and $\left\|x^{(r)}\right\|_{2,e^{-t^2}}$.
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16

Pokrovsky, Yu E. "R+RG gravity with maximal Noether symmetry." Journal of Physics: Conference Series 2081, no. 1 (November 1, 2021): 012028. http://dx.doi.org/10.1088/1742-6596/2081/1/012028.

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Abstract A Noether symmetric, 3rd order polynomial in the Riemann curvature tensor R αβμν extension of the General Relativity (GR) without cosmological constant (R+RG gravity) is suggested and discussed as a possible fundamental theory of gravity in 4-dimensional space-time with the geometric part of the Lagrangian to be L R + R G = − g 2 k R ( 1 + G G P ) . Here k = 8 π G N c 4 is the Einstein constant, g = det ( g μ ν ) , g μ ν - the metric tensor, GN - the Newton constant, c - the speed of light, R = R μ ν μ ν - the Ricci scalar, G = R 2 − 4 R μ ν R μ ν + R α β μ ν R α β μ ν - the Gauss-Bonnet topological invariant, and GP - a new constant of the gravitational self-interaction to model the cosmological bounce, inflation, accelerated expansion of the Universe, etc. The best fit to the Baryon Acoustic Oscillations data for the Hubble parameter H (z) at the redshifts z<2.36 leads to G P 1 / 4 = ( 0.557 ± 0.014 ) T p c − 1 with the mean square weighted deviation from the data about 3 times smaller than for the standard cosmological (ΛCDM) model. Due to the self-gravitating term ∼RG the respective Einstein equation in the R+RG gravity contains the additional (tachyonic in the past and now) scalar (spin = 0) graviton and the perfect geometric fluid tensor with pressure-and matter-like terms equal to the respective terms in the ΛCDM model at |z| 1. Some predictions of this R+RG gravity for the Universe are also done.
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17

Mazari, N., H. O. Sharif, H. Xie, A. E. Tekeli, J. Zeitler, and E. Habib. "Rainfall observations and assessment using vertically pointing radar and X-band radar." Journal of Hydroinformatics 19, no. 4 (March 27, 2017): 538–57. http://dx.doi.org/10.2166/hydro.2017.151.

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Two years of K-Band micro rain radar-2 (MRR) data are used to investigate the vertical variability of rain in an atmospheric column and assess MRR rainfall estimates accuracy from both direct rainfall measurement using the Mie Theory (i.e., MRR RR) and a Z-R relationship (Z = 300 R1.4) (i.e., MRR Rz). Two different height resolutions (HR) settings are used. A nearby Doppler weather radar KEWX (S-band) using the same Z-R relationship is found to underestimate rainfall by up to 32.2%, while MRR estimates are much closer to collocated gauge measurements. For the first three gates, MRR RR underestimates rainfall by 5.7%–60.1% for the HR of 35 meters and by 31.2%–47.9% for the 100 meter resolution, while MRR RR overestimates rainfall for higher gates at the 100 m resolution, and MRR Rz underestimates rainfall at all gates due to errors of the Z-R relationship (Z = aRb). Gates higher than 2,000 m are affected by bright band and mixed phase rainfall. Examination of the rainfall statistics suggests that the 100 m HR produces better rainfall estimates, and that the gate centered at 300 m has better performance than the gate centered at 70 m.
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OHTA, NOBUYOSHI, and HISAO SUZUKI. "BOSONIZATION OF A TOPOLOGICAL COSET MODEL AND NON-CRITICAL STRING THEORY." Modern Physics Letters A 09, no. 06 (February 28, 1994): 541–47. http://dx.doi.org/10.1142/s0217732394003774.

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We analyze the relation between a topological coset model based on super SL(2, R)/U(1) coset and non-critical string theory by using free field realization. We show that the twisted N=2 algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. We also find that another screening operator, which is intrinsic in our approach, becomes the BRST non-trivial state of ghost number 0 (generator of the ground ring for c=1 gravity). The relation between non-critical strings and topological field theories is the subject of current interest. It has long been suggested that the latter theories describe the unbroken phase of gravity,1 but their precise relation has not been clear. It has been known that the twisting of N=2 superconformal field theory gives rise to topological theory.1,2 This suggests that any non-critical string theories may have hidden N=2 superconformal symmetry. Indeed, several authors have observed that the BRST current and the antighost field b(z) generate an algebra that is quite similar but apparently not identical to the N=2 superconformal algebra.3 It turns out that the BRST current can be modified by total derivative terms so that the antighost and the physical BRST current exactly generate a topologically twisted N=2 superconformal algebra.4,5 This does not identify, however, the structure of the models with N=2 symmetry. Recently, rather non-trivial correspondence between super SL(2, R)k/U(1) coset model6 and c=1 string has been analyzed through twisted N=2 structure. Mukhi and Vafa7 have revealed an amazing correspondence between these two models for k=3. In this letter, we discuss the relation of these models and the generalization of the correspondence to the minimal models coupled to gravity by means of the free field realization. We find that there is another interesting correspondence for k=1. Super SL(2, R)k/U(1) model is described by the bosonic coset model of SL(2, R)k×U(1)/U(1).8 For a representation of SL(2, R)k, we use the following
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19

Thorpe, S. A. "The stability of statically unstable layers." Journal of Fluid Mechanics 260 (February 10, 1994): 315–31. http://dx.doi.org/10.1017/s0022112094003538.

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We investigate the development of instability in a fluid with density locally of the form ρ0[1 −(N2 / g)z + A sin Kz], composed of an overall stable uniform gradient of buoyancy frequency, N, but with a superimposed sinusoidal variation of vertical wavenumber, K, and amplitude, A [Lt ] 1; g is the acceleration due to gravity and z is the upward vertical coordinate. Layers exist in which the fluid is statically unstable when the parameter r = N2 / gKA, is less than unity.When r is zero, the density is sinusoidal in z and the problem reduces to one studied by Batchelor & Nitsche (1991). Their solution, which finds a gravest mode of linear instability with terms having vertical motions independent of z and with horizontal scales large in comparison with K−1, is extended to non-zero r. An effect of a small, but finite, r is to stabilize the fluid, increasing the critical Rayleigh number and the corresponding non-dimensional horizontal wavenumber. The vertical scale of the mode which first becomes unstable is reduced as r increases. A small sinusoidal shear destabilizes the fluid.When r approaches unity, the density field contains regions of static instability which are of thickness small compared to K−1. The problem then approximates to one studied by Matthews (1988). Consistent solutions for the growth of disturbances are obtained by truncated series and, following Matthews, by the solution of a Fourier-transformed equation. A small uniform shear, characterized by a flow Reynolds number, Re > O, is found to stabilize the fluid, in that it increases the critical Rayleigh number of the onset of instability. This suggests that convective Rayleigh–Taylor instability, with constant phase lines parallel to the flow, is then the favoured mode of onset of instability. At very large Rayleigh numbers and at a Prandtl number of 700, however, the growth rate of the most rapidly growing linear disturbances may increase as Re increases from zero, and the form of the evolving flow is then less certain.The theory is used to estimate the scale and growth rates of instability in overturning internal gravity waves in the laboratory experiment described in a companion paper (Thorpe 1994).
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20

Mason, A. W. "Finitely generated GEn-rings." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 106, no. 1-2 (1987): 63–71. http://dx.doi.org/10.1017/s0308210500018205.

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SynopsisSuslin and Cohn have proved that the polynomial ring Z[t1, …,td], where Z is the ring of rational integers and d >0, is a GEn-ring if and only if n ≧ 3. (A commutative ring R with identity is called a GEn-ring if and only if SLn(R) is generated by elementary matrices, where n ≧ 2.) In this paper we consider the following question:Given algebraic numbers α1, …,αd, for which n (if any) is the ring A =Z [α1, …,αd a GEn-ring?By standard results from algebraic K-theory it follows that (a) A is GEn for all n ≧ 2, (b) A is not GEn for any n ≧ 2, or (c) A is GEn if and only if n ≧ 3. Examples of each type are provided. In particular, it is shown that if each αi is real or at least one αi is not an algebraic integer, then A is of type (a).
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Han, Sang-Eon. "Fixed Point Theory for Digital k-Surfaces and Some Remarks on the Euler Characteristics of Digital Closed Surfaces." Mathematics 7, no. 12 (December 16, 2019): 1244. http://dx.doi.org/10.3390/math7121244.

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The present paper studies the fixed point property (FPP) for closed k-surfaces. We also intensively study Euler characteristics of a closed k-surface and a connected sum of closed k-surfaces. Furthermore, we explore some relationships between the FPP and Euler characteristics of closed k-surfaces. After explaining how to define the Euler characteristic of a closed k-surface more precisely, we confirm a certain consistency of the Euler characteristic of a closed k-surface and a continuous analog of it. In proceeding with this work, for a simple closed k-surface in Z 3 , say S k , we can see that both the minimal 26-adjacency neighborhood of a point x ∈ S k , denoted by M k ( x ) , and the geometric realization of it in R 3 , denoted by D k ( x ) , play important roles in both digital surface theory and fixed point theory. Moreover, we prove that the simple closed 18-surfaces M S S 18 and M S S 18 ′ do not have the almost fixed point property (AFPP). Consequently, we conclude that the triviality or the non-triviality of the Euler characteristics of simple closed k-surfaces have no relationships with the FPP in digital topology. Using this fact, we correct many errors in many papers written by L. Boxer et al.
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22

Lipshitz, L., and Z. Robinson. "One-dimensional fibers of rigid subanalytic sets." Journal of Symbolic Logic 63, no. 1 (March 1998): 83–88. http://dx.doi.org/10.2307/2586589.

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Let K be an algebraically closed field of any characteristic, complete with respect to the non-trivial ultrametric absolute value ∣·∣: K → ℝ+. By R denote the valuation ring of K, and by ℘ its maximal ideal. We work within the class of subanalytic sets defined in [5], but our results here also hold for the strongly subanalytic sets introduced in [11] as well as for those subanalytic sets considered in [6]. Let X ⊂ R1 be subanalytic. In [8], we showed that there is a decomposition of X as a union of a finite number of special sets U ⊂ R1 (see below). In this note, in Theorem 1.6, we obtain a version of this result which is uniform in parameters, thereby answering a question brought to our attention by Angus Macintyre. It follows immediately from Theorem 1.6 that the theory of K in the language (see [5] and [6]) is C-minimal in the sense of [3] and [9]. The analogous uniformity result in the p-adic case was recently proved in [12].Definition 1.1. (i) A disc in R1 is a set of one of the two following forms:A special set in R1 is a disc minus a finite union of discs.(ii) R-domains u ⊂ Rm, and their associated rings of analytic functions, , are defined inductively as follows. Rm is an R-domain and , the ring of strictly convergent power series in X1,…, Xm over K. If u is an R-domain with associated ring , (where K 〈X, Y〉 〚ρ〛S is a ring of separated power series, see [5, §2] and [1, §1]) and f, have no common zero on u and ◸ ϵ {<, ≤}, thenis an R-domain andwhere J is the ideal generated by I and f − gZ (Z is a new variable) if ◸ is ≤, andwhere J is the ideal generated by I and f − gτ (τ a new variable) if ◸ is <. (See [8, Definition 2.2].) R-domains generalize the rational domains of [2, §7.2.3]. It is true, but not easy to prove, that only depends on u as a point set, and is independent of the particular representation of u.
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23

Muhammad A. R. Khan, Mohammed Sohel, Faisal I Chowdhury, and Shamim Akhtar. "Sound Velocities in Aqueous Solutions of n-Butylamine between 303.15 and 323.15 K: Experiment and Theory." Journal of Applied Science & Process Engineering 9, no. 2 (October 31, 2022): 1177–96. http://dx.doi.org/10.33736/jaspe.4636.2022.

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Density (ρ) and sound velocity (u) have been measured for aqueous solutions of n-butylamine ( W + NBA) in the whole range of composition at an interval of 5 K. Deviation in Sound Velocity (∆u), Isentropic Compressibility (Ks), Excess Isentropic Compressibility (KsE), Specific Acoustic Impedance (Z), Rao's Constant (R) and Wada's Constant (W) have been calculated from measured u and ρ. ∆u versus x2 curve is negative and with the increment of temperature, ∆u decreases; Ks values of W + NBA are all positive whereas KsE values are all negative. All the above outcomes are interpreted in terms of molecular interaction especially hydrogen bonding and hydrophobic hydration between water and n-butylamine. Moreover, experimental data for u correlated with some theoretical equations. The relations are Nomoto’s Relation (uN), Impedance Relation (uIR), the Rao’s specific velocity method relation (uR), Van Deel’s ideal mixing relation (uIMR) and theoretical sound velocity according to Free Length Theory (uFLT). The validity of these relations with experimental values has been tested by measuring standard percentage deviation () and average percentage error (APE).
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24

Yalcin, Ugur, and Can Altingoz. "The Uniform Scattered Fields from a Parabolic Surface with the Boundary Diffraction Wave Theory." Photonics Letters of Poland 9, no. 4 (December 31, 2017): 125. http://dx.doi.org/10.4302/plp.v9i4.753.

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The uniform scattered fields of the cylindrical wave from a parabolic surface are obtained with the theory of the boundary diffraction wave (TBDW). The non-uniform diffracted field is calculated with the regenerated vector potential and rearranged by considering the Fresnel function to obtain the uniform solution. The uniform scattered fields are calculated as the sum of the diffracted and the geometrical optic fields. The numerical analyses of the diffracted and scattered fields in both uniform and non-uniform solutions are in harmony with the literature. Full Text: PDF ReferencesBaker, B. B., Copson, E. T., The mathematical theory of the Huygens' principles, 2nd Edition, Oxford Press, (1950). DirectLink Lit, J. W. Y. "Boundary Diffraction Waves due to a General Point Source and Their Applications to Aperture Systems" J. Modern Opt., 19, 1007 (1972). CrossRef Otis, G., "Application of the Boundary Diffraction Wave Theory to Gaussian Beams", J. Opt. Soc. Am., 64, 1545 (1974). CrossRef Ganci, S., "Boundary Diffraction Wave Theory for Rectilinear Apertures", Eur. J. Phys., 18, 229 (1997). CrossRef Longhurst, R. S., Geometrical and Physical Optics, 2nd Edition, Longmans [London], (1968). DirectLink Maggi, G. A., "Sulla Propagazione Libra e Perturbata delle Onde Luminose in un Mezzo Izotropo", Ann. di Mat. IIa, 16, 21 (1888).Rubinowicz, A., "Die Beugungswelle in der Kirchoffschen Theorie der Beugungsercheinungen", Ann. Physik, 4, 257 (1917). CrossRef Miyamoto, K. and Wolf, E., "Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave Part I", J. Opt. Soc. Am., 52, 615 (1962). CrossRef Miyamoto, K., Wolf, E., "Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave Part II", J. Opt. Soc. Am., 52, 626 (1962). CrossRef Born, M. and Wolf, E. Principles of Optics Seventh edition, Cambridge Univ. Press, (1999). CrossRef Alt?ngöz, C., Yalç?n, U. "Calculation of the Diffracted Waves from the Edge of an Opaque Cut Cylinder by the Boundary Diffraction Wave Theory", Journal of the Faculty of Eng. and Arch. of Gazi University, 28, 85, (2013). CrossRef Yalç?n, U. "Yutucu Yar?m Düzlemin Kenar?ndan K?r?nan Üniform Alanlar?n S?n?r K?r?n?m Dalgas? Teorisi ile Hesab?", Çankaya Üniversitesi 2.Müh. ve Tek. Sempozyumu, (2009). (In national language) CrossRef Lee, S. W. and G. A. Deschamps, \A uniform asymptotic theory CrossRef Lee, S. W., "Comparison of uniform asymptotic theory and Ufimtsev's theory of electromagnetic edge diffraction," IEEE Trans. Antennas & Propagat., Vol. 25, 162-170, 1977. CrossRef Yalç?n, U., "Uniform Scattered Fields of the Extended Theory of Boundary Diffraction Wave for PEC Surfaces", PIER M, 7, 29, (2009) DirectLink Yalç?n, U., "Analysis of Diffracted Fields with the Extended Theory of the Boundary Diffraction Wave for Impedance Surfaces", Appl. Opt., 50, 296 (2011). CrossRef Sarn?k, M., Yalç?n, U., "Uniform scattered fields from a perfectly conducting parabolic reflector with modified theory of physical optics", Optik-International J. for Light and Electron Opt., 135, 320 (2017). CrossRef Sarn?k, M., Yalç?n, U., "Modified theory of physical optics and solution for scattering fields from a perfectly conducting parabolic reflector", 16th Int. Conference on Math. Met. in Electromagnetic T. (MMET), July 5-7, Ukraine, 349 (2016). CrossRef Umul, Y. Z., Yalç?n, U. "Asymptotic Evaluation of The Edge Diffraction In Cylindric Paraboloidal Surface Antennas", Mathematical & Computational App., 8, 143 (2003). CrossRef Yalç?n, U., "Scattering from a cylindrical reflector: modified theory of physical optics solution", J. Opt. Soc. Am. A, 24, 502 (2007). CrossRef
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25

Kudo, Yoshihiro. "Application of Molar Volumes Obtained From a Solvent Extraction Method for Estimation of Sizes of Metal Complexes With Crown Ethers in Phases." International Journal of Chemistry 11, no. 1 (January 31, 2019): 1. http://dx.doi.org/10.5539/ijc.v11n1p1.

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Molar volumes (Vj) of ion-pair complexes (MLAz = j; z = 1, 2) and simple complex ions (CdL2+) without a pairing anion A&minus; obtained at 298 K from the plots of the regular solution theory and the geometrical relation Vj = (4&pi;/3)Rj3 were used for an estimation of their apparent radii (Rj) in liquid phases. Here, the cases for Mz+ = Li+-Cs+, Cd2+, and Pb2+ and L = 18-crown-6 ether (18C6) and benzo-18C6 (B18C6) with A&minus; = Cl&minus;-I&minus; and picrate ion (Pic&minus;) were examined. The thus-estimated Rj values were related to h(ML+), &lambda;max, and (r+ + r&minus;) values, where these symbols refer to the number of water molecules attached to the univalent complex ions, ML+, extracted into water-saturated nitrobenzene, absorption maxima of Pic&minus; with ML+ in water-saturated chloroform, and the sum in an effective ionic radius, r+ or r&minus;, between the central Mz+ and the pairing A&minus;, respectively. The data points of j = Li(18C6)Pic, Na(18C6)Pic, M(B18C6)Pic with M = Na-Rb(I), Cd18C62+, Cd(18C6)Cl2, Cd(18C6)Br2, and Cd(18C6)I2 showed larger deviations from the line of Rj = (r+ + r&minus;). While j = M(18C6)Pic with M = K-Cs(I) and M(18C6)Pic2 with Cd(II) and Pb(II) were on the line. It was demonstrated that essentially the former groups are present as water-separated and -shared ion pairs in the phases, while the latter ones as contact pairs.
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26

Le Hénaff, C., N. K. Hansen, J. Protas, and G. Marnier. "Electron Density Distribution in LiB3O5 at 293 K." Acta Crystallographica Section B Structural Science 53, no. 6 (December 1, 1997): 870–79. http://dx.doi.org/10.1107/s0108768197007817.

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The electron density distribution in lithium triborate LiB3O5 has been studied at room temperature by X-ray diffraction using Ag K \alpha radiation up to 1.02 Å−1 [1439 unique reflections with I > 3\sigma(I)]. Conventional refinements with a free-atom model yield R(F) = 0.0223, wR(F) = 0.0299, S = 1.632. Atom charge refinements show that the lithium should be considered a monovalent ion. Multipolar refinements were undertaken up to fourth order, imposing local non-crystallographic symmetry constraints in order to avoid phase problems leading to meaningless multipole populations due to the non-centrosymmetry of the structure (space group: Pn a21). The residual indices decreased to: R(F) = 0.0147, wR(F) = 0.0193, S = 1.106. The net charges are in good agreement with what can be expected in borate chemistry. Deformation density maps are analysed in terms of \sigma and \pi bonding. The experimental electron distribution in the p z orbitals of triangular B atoms and surrounding O atoms has been analysed by introducing idealized hybridized states. In parallel, the electron density has been determined from ab initio Hartree–Fock calculations on fragments of the structure. Agreement with the X-ray determination is very good and confirms the nature of bonding in the crystal. The amount of transfer of \pi electrons from the oxygen to the triangular B atoms is estimated to be 0.22 electrons by theory.
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27

Zhang, Ouqi. "Discussions on Behavior of Bolted Joints in Tension." Journal of Mechanical Design 127, no. 3 (November 24, 2004): 506–10. http://dx.doi.org/10.1115/1.1867513.

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It is known that the behavior of real axisymmetric bolted joints in tension is much more complicated than that the conventional theory describes. Phenomenon conflicting with the theory prediction was observed in experimental and finite element analysis [Kwiatkowski, J. K., Winnicki, L. A., and Krzyspiak, A., 1986, “Stress Analysis of Bolted Tensile End Plate Connections,” Rozprawy Inzynierskie Eng. Trans., 34, pp. 113–137; Webjörn, J., 1988, “Die Moderne Schraubenverbindung,” VDI-Z, 130, pp. 76–78; Grosse, I. R., and Mitchell, L. D., 1990, “Nonlinear Axial Stiffness Characteristics of Bolted Joints,” ASME J. Mech. Des., 122, pp. 442–449; Gerbert, G., Bastedt, H., 1993, “Centrically Loaded Bolt Joints,” ASME J. Mech. Des., 115, pp. 701–705]. Recently, a new analytical model of bolted joints was presented [Zhang, O., and Poirier, J. A., 2004, “New Analytical Model for Axisymmetric Bolted Joints,” ASME J. Mech. Des., 126, pp. 721–728], based on which some discussions are further made in this note.
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28

Kudratov, K. E., and Y. M. Khusanbaev. "ON ASYMPTOTIC RELATIONS FOR THE CRITICAL GALTON – WATSON PROCESS." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 73 (2021): 5–16. http://dx.doi.org/10.17223/19988621/73/1.

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Determining the asymptotics of the continuation probability for a Galton–Watson branching process is one of the most important problems in the theory of branching processes. This problem was solved by A.N. Kolmogorov (1938) in the case when the process starts with a single particle, and the classical result is obtained. A similar result for continuous branching processes was proved by B.A. Sevastyanov (1951). The next term in the expansion for continuous branching processes was obtained by V.M. Zolotarev (1957). The next term in the expansion for continuous branching processes in the critical case was obtained by V.P. Chistyakov (1957); the asymptotic expansion in the subcritical case under the condition of finiteness of the k-factorial moment was obtained by R. Mukhamedkhanova (1966). Asymptotic expansions for discrete branching processes in the subcritical and supercritical cases, provided that any m-factorial moment is finite, were obtained by S.V. Nagaev and R. Mukhamedkhanova (1966). In the critical case, the weak convergence of the conditional distribution of the quantity P(Z(n) > 0)Z(n) under the condition Z(n) > 0 to the exponential distribution was proved by A.M. Yaglom (1947) for processes starting with a single particle in the case of finiteness of the third moment of the number of generations. Subsequently, Spitzer, Kesten, and Ney (1966) proved this result under the condition that the second moment is finite. A similar result for branching processes with continuous parameters was established by V.M. Zolotarev (1957). In this paper, we study the asymptotics of the probability of continuation of the critical Galton-Watson process, starting with η particles. In addition, we prove an analogue of Yaglom’s theorem for critical Galton – Watson processes starting with a random number of particles.
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29

Shibata, Masao Suzuki, Grace Anderson, Yu Morimoto, Iryna V. Zenyuk, and Adam Z. Weber. "Modeling the Environment-Dependent Kinetics of Oxygen Reduction Reaction – Effect of Relative Humidity." ECS Meeting Abstracts MA2022-02, no. 39 (October 9, 2022): 1367. http://dx.doi.org/10.1149/ma2022-02391367mtgabs.

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For proton exchange membrane fuel cells (PEMFCs) to achieve broad commercialization, the kinetics of oxygen reduction reaction (ORR) need to be better understood to improve the efficiency with minimized use of expensive Pt-based electrocatalyst(1). The increasing demands of PEMFC-powered heavy-duty vehicles make this issue critical, especially to meet the efficiency target (ultimately 72%)(2). Previous first principle-based theoretical analyses reasonably explained catalyst-dependent activity in ideal conditions (on single crystal catalysts in HClO4 solution under room temperature)(3). To design a practical catalyst, further analysis is required to bridge the gap between the ideal and actual PEMFC conditions (typically, covered with perfluorosulfonic acids under 60 to 90 °C, and 30 to 100% RH). In this talk, we examine the effect of relative humidity (RH) on ORR activity on a platinum surface. The effect of RH on ORR activity has been a controversial topic: an experimental study suggested lower RH increases the ORR activity(4), while another study showed the opposite trend(5). By using a multiscale continuum model, we validate our hypothesis that the controversial experimental results stem from the difference in the properties of the electrode/electrolyte interface. In the mathematical calculation, we assume that the polycrystalline platinum catalysts consist of multiple single crystalline surfaces(6) and that their activity is described by the summation of the activities on the single crystalline surfaces. Based on transition state theory, the reaction rate of each elementary step is calculated from the reaction free energy, reactant concentration, and activation energy with explicit accounting of the double-layer structure and interactions. In the presentation, the calculation results will be compared with experimental solid-state data using microelectrodes, and the mechanism of RH-dependent ORR activity will be discussed. Reference I. E. L. Stephens, A. S. Bondarenko, U. Grønbjerg, J. Rossmeisl and I. Chorkendorff, Energy & Environmental Science, 5 (2012). D. A. Cullen, K. C. Neyerlin, R. K. Ahluwalia, R. Mukundan, K. L. More, R. L. Borup, A. Z. Weber, D. J. Myers and A. Kusoglu, Nature Energy, 6, 462 (2021). H. A. Hansen, V. Viswanathan and J. K. Nørskov, The Journal of Physical Chemistry C, 118, 6706 (2014). M. Shibata, M. Inaba, K. Shinozaki, K. Kodama and R. Jinnouchi, Journal of The Electrochemical Society, 169, 044507 (2022). H. Xu, Y. Song, H. R. Kunz and J. M. Fenton, Journal of The Electrochemical Society, 152 (2005). G. A. Tritsaris, J. Greeley, J. Rossmeisl and J. K. Nørskov, Catalysis Letters, 141, 909 (2011).
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30

G, Umamaheswar, Devarajulu Gelija, Ramaswamy V, and Deva Prasad Raju Borelli. "Spectroscopic Properties of Yb3+/Nd3+ Co-doped Ions in SiO2-Al2O3-Na2CO3-SrF2-CaF2 Oxyfluoride Glasses for Photonic Applications." Photonics Letters of Poland 10, no. 1 (March 31, 2018): 29. http://dx.doi.org/10.4302/plp.v10i1.799.

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The Yb3+ and Yb3+/Nd3+ co-doped SiO2-Al2O3-Na2CO3-SrF2-CaF2 oxyfluorosilicate glasses have been prepared by high temperature melt-quenching method. The prepared glasses are excited with 808 nm, and the near infrared emission bands are observed. The intensified emission band was centered at 1030 nm (2F5/2 -> 2F7/2) of Yb3+ ions. Stimulated emission cross-section was evaluated for the prominent 2F5/2 -> 2F7/2 transition of Yb3+ ion by using the Mc-Cumber theory. The energy transfer from Nd3+ to Yb3+ ions in co-doped silicate based oxyfluoride glasses are described under the 514 nm excitation wavelength. Full Text: PDF ReferencesN. Chiodini, A. Paleari, G. Brambilla, E. R. Taylor, "Erbium doped nanostructured tin?silicate glass?ceramic composites", Appl. Phys. Lett. 80, 4449 (2002). CrossRef D. Jaque, J. Capmany, F. Molero, Z. D. Luo, J. G. Sole, "Up-conversion luminescence in the Nd3+:YAB self frequency doubling laser crystal", Opt. mater. 10, 211 (1998). CrossRef H. Lin, G. Meredith, S. Jiang, X. Peng, T. Luo, N. Peyghambarian, E. Yue-Bun Pun, "Optical transitions and visible upconversion in Er3+ doped niobic tellurite glass", J. Appl. Phys. 93, 186 (2003) CrossRef Atul D. Sontakke, K. Annapurna, "Phonon assisted effective non-resonant energy transfer based 1 ?m luminescence from Nd3+?Yb3+ codoped zinc?boro?bismuthate glasses", J. Lumin. 138, 229 (2013). CrossRef F. Liegard, J.L. Doualan, R. Moncorge, M. Bettinelli, "Nd3+ ? Yb3+ energy transfer in a codoped metaphosphate glass as a model for Yb3+ laser operation around 980 nm", Appl. Phys. B 80, 985 (2005) CrossRef A. Miguel, B. Fan, R. Balda, X. Zhang, J. Fernandez, J.L. Adam, "Spectroscopy and energy transfer in Nd3 +/Yb3 + codoped chalcohalide glasses", J. Non-Cryst. Solids 377, 110 (2013). CrossRef G. Devarajulu, B. Deva Prasad Raju, "Effect of concentration variation on 2.0 ?m emission of Ho3+-doped SiO2?Al2O3?Na2CO3?SrF2?CaF2 oxyfluorosilicate glasses", App. Phy. A, 124 (2018). CrossRef Radoslaw Lisiecki, Elzbiecta Augustyn, Witold Ryba-Romanowski, Michal Zelechower, "Er-doped and Er, Yb co-doped oxyfluoride glasses and glass?ceramics, structural and optical properties", Opt. Mater. 33, 1630 (2011). CrossRef G. Chen, Q. Zhang, G. Yang, and Z. Jiang, "Mid-Infrared Emission Characteristic and Energy Transfer of Ho3+-Doped Tellurite Glass Sensitized by Tm3+", J. Fluoresc. 17, 301 (2007). CrossRef D. E. McCumber, "Theory of Phonon-Terminated Optical Masers", Phys. Rev. 134, 299 (1964). CrossRef D.L. Deloach, S.A. Payne, L.K. Smith, W.L. Kway, W. F. Krupke, "Laser and spectroscopic properties of Sr5(PO4)3F:Yb", J. Opt. Soc. Am. B 11, 269 (1994). CrossRef K. Venkata Krishnaiah, R. Rajeswari, K. UpendraKumar, S. Surendra Babu, I.R. Martin, C.K. Jayasankar, "Spectroscopy and radiation trapping of Yb3+ ions in lead phosphate glasses", J.Quant. Spect. Rad. Trans. 140, 37 (2014). CrossRef
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31

Ambalegin, Ambalegin, and Tomi Arianto. "Segmental phonemic system of Riau Malay subdialect Kepulauan as local knowledge in Batam." EduLite: Journal of English Education, Literature and Culture 5, no. 1 (February 29, 2020): 159. http://dx.doi.org/10.30659/e.5.1.159-175.

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Malay dialect has a specific final sound /ɑ/ as /ə/ but not all final sound /ɑ/ is pronounced as /ə/. The final sound /r/ is dropped down and the sound /u/ after the letter <r> is pronounced as /ɒ/ in some particular words. This phonemic system must be preserved and developed as a local knowledge. Modality change of consciousness happens to the Malay, and Indonesian becomes elitist and leaves the egalitarian Malay. This descriptive qualitative research concerned to the phonemic features and comprehensive picture of Malay contemporary sounds, and Malay vowels and consonants with the pertinent articulatory elements in Batam. Observation method with participatory technique involved in data collection taken from Kampong Tua Nongsa, Sanggau, Tanjung Uma, and Tanjung Riau. The theory to support the analysis was taken from Finegan and Low’s theories in term of phonological and phonetic approach and supported by Kelly, McMahon, Roach, and Yule’s theories. It is found that the letter <a> is pronounced as /ə/ in particular place. And <u> is pronounced as /ɒ/ in particular place. /Ɍ/ in Malay is different from /r/ in Indonesian and /ʁ/ in English as /Ɍ/ is produced by uvula. The final consonant-closed sound <k> and <l> are not sounded as they are represented by /Ɂ/. Letter <h> is not pronounced as /h/ in the final <h> consonant-closed syllable sound. /f/, /χ/, /ʃ/and /z/, all these fricative sounds do not appear in Malay. The Malay pronounced them as /p/ for /f/ in maaf, /k/ for /χ/ in ikhlas, /s/ for /ʃ/ in syukur, and /ʝ/ for /z/ in izin. Syllable sound ends with letter <b> or <d> is not pronounced with end /b/ or /d/ but it pronounces with end /p/ or /t/ such sebab as /sebʌp/, sabtu as /sʌptʊ/, wujud as /wʊʝʊt/, and sujud as /sʊʝʊt/.
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32

Kashyap, Manish K., Timothy A. Hackett, Alessia Provino, Arjun K. Pathak, Vitalij K. Pecharsky, and Pietro Manfrinetti. "Formation, Stability and Magnetism of New Gd3TAl3Ge2 Quaternary Compounds (T = Mn, Cu)." Solid State Phenomena 289 (April 2019): 93–101. http://dx.doi.org/10.4028/www.scientific.net/ssp.289.93.

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A study on the formation and stability of new quaternary compounds with the general chemical formula Gd3TAl3Ge2(T = Mn, Cu) has been undertaken by experimental investigations (SEM-EDX, DTA and XRD) and density functional theory (DFT) calculations. These compounds crystallize in the hexagonal Y3NiAl3Ge2-type structure (hP9, P–62m, Z = 1) (an ordered, quaternary derivative of the ternary ZrNiAl or of the binary Fe2P prototypes), with lattice parameters values a = 7.0239(2) Å and c = 4.2580(1) Å for Gd3MnAl3Ge2and a = 7.0434(1) Å and c = 4.2089(1) Å for Gd3CuAl3Ge2. DTA suggests a peritectic reaction for the formation of these compounds (at 1245°C for Gd3CuAl3Ge2). The existence and stability of these phases has been explained on the basis of DFT calculations, and a comparison of ground state properties of the studied compounds with the earlier known Gd3CoAl3Ge2phase is outlined. The negative formation energies in all three cases govern the stability of compounds from theory as well, predicting Gd3MnAl3Ge2as the most stable phase with highest formation energy (–13.01 eV/f.u.). The total DOS are generic in nature and suggest the robust magnetism, with the Gd-f moments of ≈7 μB. An antiparallel coupling among Gd-f and T-d states is observed for all compounds, as usually seen in rare earth (R) - transition metal (T) compounds. Preliminary magnetization measurements on Gd3MnAl3Ge2show two ferromagnetic/ferrimagnetic (FM/FIM) like transitions at TC1= 142 K and TC2= 97 K, with another anomaly seen at ≈15 K. Isothermal magnetization data show no hysteresis even at 5 K, and the magnetization does not saturate up to 50 kOe, further suggesting a possible FIM behavior.
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33

Taraban, Roman, and Abusal Khaleel. "Analyzing Topic Differences, Writing Quality, and Rhetorical Context in College Students’ Essays Using Linguistic Inquiry and Word Count." East European Journal of Psycholinguistics 6, no. 2 (December 27, 2019): 107–18. http://dx.doi.org/10.29038/eejpl.2019.6.2.tar.

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Machine methods for automatically analyzing text have been investigated for decades. Yet the availability and usability of these methods for classifying and scoring specialized essays in small samples–as is typical for ordinary coursework–remains unclear. In this paper we analyzed 156 essays submitted by students in a first-year college rhetoric course. Using cognitive and affective measures within Linguistic Inquiry and Word Count (LIWC), we tested whether machine analyses could i) distinguish among essay topics, ii) distinguish between high and low writing quality, and iii) identify differences due to changes in rhetorical context across writing assignments. The results showed positive results for all three tests. We consider ways that LIWC may benefit college instructors in assessing student compositions and in monitoring the effectiveness of the course curriculum. We also consider extensions of machine assessments for instructional applications. References Blei, D. M., Ng, A. Y., & Jordan, M. I. (2003). Latent Dirichlet Allocation. Journal of Machine Learning Research, 3, 993-1022. Boot, P., Zijlstra, H., & Geenen, R. (2017). The Dutch translation of the Linguistic Inquiry and Word Count (LIWC) 2007 dictionary. Dutch Journal of Applied Linguistics, 6(1), 65-76. Carroll, D. W. (2007). Patterns of student writing in a critical thinking course: A quantitative analysis. Assessing Writing, 12, 213–227. Landauer, T. K., Foltz, P. W., & Laham, D. (1998). An introduction to latent semantic analysis. Discourse processes, 25(2-3), 259-284. Lord, S. P., Sheng, E., Imel, Z. E., Baer, J., & Atkins, D. C. (2015). More than reflections: Empathy in motivational interviewing includes language style synchrony between therapist and client. Behavior therapy, 46(3), 296-303. Lund, K., & Burgess, C. (1996). Producing high-dimensional semantic spaces from lexical co-occurrence. Behavior research methods, instruments, & computers, 28(2), 203-208. Lunsford, A. A. (2016). St. Martin’s handbook (8th ed.): MLA supplement. Bedford/St. Martin’s Press. Massó, G., Lambert, P., Penagos, C. R., & Saurí, R. (2013, December). Generating New LIWC Dictionaries by Triangulation. In Asia Information Retrieval Symposium (pp. 263-271). Springer, Berlin, Heidelberg. Pennebaker, J. W. (2004). Theories, therapies, and taxpayers: On the complexities of the expressive writing paradigm. Clinical Psychology: Science and Practice, 11(2), 138-142. Pennebaker, J.W., Boyd, R.L., Jordan, K., & Blackburn, K. (2015). The development and psychometric properties of LIWC 2015. Austin, TX: University of Texas at Austin. Pennebaker, J. W., Chung, C. K., Frazee, J., Lavergne, G. M., & Beaver, D. I. (2014). When small words foretell academic success: The case of college admissions essays. PLoS ONE, 9(12), e115844. Pennebaker, J. W., & King, L. A. (1999). Linguistic styles: Language use as an individual difference. Journal of Personality and Social Psychology 77(6), 1296-1312. Robertson, K., & Doig, A. (2010). An Empirical Investigation of Variations in Real‐Estate Marketing Language over a Market Cycle. Housing, Theory and Society, 27(2), 178-189. Robinson, R. L., Navea, R., & Ickes, W. (2013). Predicting final course performance from students’ written self-introductions: A LIWC analysis. Journal of Language and Social Psychology, 32(4), 469 – 479. Taraban, R., Pittman, J., Nalabandian, T., Yang, W. F. Z., Marcy, W. M., & Gunturu, S. M. (2019). Creating and testing specialized dictionaries for text analysis. East European Journal of Psycholinguistics, 6(1), 65-75. Tausczik, Y. R., & Pennebaker, J. W. (2010). The psychological meaning of words: LIWC and computerized text analysis methods. Journal of language and social psychology, 29, 24-54. Van Wissen, L., & Boot, P. (2017, September). An electronic translation of the LIWC dictionary into Dutch. In Electronic lexicography in the 21st century: Proceedings of eLex 2017 Conference (pp. 703-715). Lexical Computing.
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Mueller, S., E. W. Llewellin, and H. M. Mader. "The rheology of suspensions of solid particles." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2116 (December 16, 2009): 1201–28. http://dx.doi.org/10.1098/rspa.2009.0445.

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We present data for the rheology of suspensions of monodisperse particles of varying aspect ratio, from oblate to prolate, and covering particle volume fractions ϕ from dilute to highly concentrated. Rheology is characterized by fitting the experimental data to the model of Herschel & Bulkley (Herschel & Bulkley 1926 Kolloid Z. 39 , 291–300 ( doi:10.1007/BF01432034 )) yielding three rheometric parameters: consistency K (cognate with viscosity); flow index n (a measure of shear-thinning); yield stress τ 0 . The consistency K of suspensions of particles of arbitrary aspect ratio can be accurately predicted by the model of Maron & Pierce (Maron & Pierce 1956 J. Colloid Sci. 11 , 80–95 ( doi:10.1016/0095-8522(56)90023-X )) with the maximum packing fraction ϕ m as the only fitted parameter. We derive empirical relationships for ϕ m and n as a function of average particle aspect ratio r p and for τ 0 as a function of ϕ m and a fitting parameter τ *. These relationships can be used to predict the rheology of suspensions of prolate particles from measured ϕ and r p . By recasting our data in terms of the Einstein coefficient, we relate our rheological observations to the underlying particle motions via Jeffery’s (Jeffery 1922 Proc. R. Soc. Lond. A 102 , 161–179 ( doi:10.1098/rspa.1922.0078 )) theory. We extend Jeffery’s work to calculate, numerically, the Einstein coefficient for a suspension of many, initially randomly oriented particles. This provides a physical, microstructural explanation of our observations, including transient oscillations seen during run start-up and changes of rheological regime as ϕ increases.
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Peng, Jiayu, Livia Giordano, Timothy Davenport, and Yang Shao-Horn. "Stability Design Principles of Manganese-Based Oxides in Acid." ECS Meeting Abstracts MA2022-02, no. 42 (October 9, 2022): 1604. http://dx.doi.org/10.1149/ma2022-02421604mtgabs.

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The use of non-precious catalysts (e.g., transition metal oxides) in electrochemical energy technologies in acid (e.g., proton exchange membrane fuel cells and electrolyzers) has been significantly hampered by the instability of such catalysts at low pHs. While first-row late transition metal oxides based on Fe, Co, and/or Ni have been reported with comparable or higher catalytic activity for the alkaline oxygen reduction and oxygen evolution reactions than their precious-metal-based counterparts (e.g., Pt and IrO2),[1] these oxide catalysts are not stable in acid.[2] Moreover, Mn-based oxides are more acid-stable than those based on late transition metals[1] and can be potentially stabilized by reaching dissolution-deposition equilibrium at moderately acidic pHs,[3] but they still corrode and deactivate in strong acid and after long operation.[4] To tackle this challenge, extensive efforts over the past decades have been focused on combining active, yet unstable metal oxides with corrosion-resistant oxides.[5-7] Nevertheless, having a higher fraction of corrosion-resistant elements results in more acid-stable, yet less active catalysts, indicating an activity-stability trade-off.[2,5,6] To design transition metal oxide catalysts (such as Mn-based oxides) with an optimal trade-off or bypass this limitation, it is critical to establish their stability descriptors in acid. These descriptors can offer a fundamental understanding of oxide dissolution and provide guiding principles to enhance their intrinsic stability. In this work, we employed a library of Mn-based oxides with diverse structures and Mn oxidation states to identify oxide stability descriptors in acid based on intrinsic electronic structure and energetic parameters. Using time-dependent dissolution experiments and density functional theory calculations, greater amounts and faster kinetics of oxide dissolution in acid were correlated with decreased Mn oxidation states, which are accompanied by lowered Mn-O covalency, weakened Mn-O bonds, and reduced barriers for key reaction steps (such as protonation, vacancy formation, and metal ion solvation). Such design principles were shown broadly with a computational screening across a vast chemical space of ~1,000 Mn-based oxides, where an Mn oxidation state of 4+ was found to give rise to the lowest energetic driving force for the dissolution of Mn-based oxides in acid. Moreover, limiting the percentage of ionic metal substituents in oxides and using more acidic substituents were shown to stabilize Mn-based oxides in acid. These findings can provide novel insights into designing acid-stable Mn-based oxides for renewable energy storage and conversion. References: [1] C. Wei, R. R. Rao, J. Peng, B. Huang, I. E. L. Stephens, M. Risch, Z. J. Xu, Y. Shao-Horn, Adv. Mater. 2019, 31, 1806296. [2] K. K. Rao, Y. Lai, L. Zhou, J. A. Haber, M. Bajdich, J. M. Gregoire, Chem. Mater. 2022, 34, 899. [3] M. Huynh, D. K. Bediako, D. G. Nocera, J. Am. Chem. Soc. 2014, 136, 6002. [4] A. Li, H. Ooka, N. Bonnet, T. Hayashi, Y. Sun, Q. Jiang, C. Li, H. Han, R. Nakamura, Angew. Chem. Int. Ed. 2019, 58, 5054. [5] R. Frydendal, E. A. Paoli, I. Chorkendorff, J. Rossmeisl, I. E. L. Stephens, Adv. Energy Mater. 2015, 5, 1500991. [6] L. Zhou, A. Shinde, J. H. Montoya, A. Singh, S. Gul, J. Yano, Y. Ye, E. J. Crumlin, M. H. Richter, J. K. Cooper, H. S. Stein, J. A. Haber, K. A. Persson, J. M. Gregoire, ACS Catal. 2018, 8, 10938. [7] L. Zhou, H. Li, Y. Lai, M. Richter, K. Kan, J. A. Haber, S. Kelly, Z. Wang, Y. Lu, R. S. Kim, X. Li, J. Yano, J. K. Nørskov, J. M. Gregoire, ACS Energy Lett. 2022, 7, 993. Figure 1
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Lin, Jianhua, Evamarie Hey-Hawkins, and Hans Georg von Schnering. "Reinvestigation of the Reaction of (NH4)2[Ce(N03)6] with Triphenylphosphine Oxide; the Crystal Structure and Magnetic Properties of mer-Ce(NO3)3(OPPh3)3 • 2 (CH3)2CO." Zeitschrift für Naturforschung A 45, no. 11-12 (December 1, 1990): 1241–47. http://dx.doi.org/10.1515/zna-1990-11-1204.

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AbstractThe reaction of (NH4)2[Ce(NO3)6 ] with two equivalents of OPPh3(Ph = C6H5 ) in acetonitrile yields Ce(NO3 ) 4(OPPh3 )2 (1) in high yield, whereas using acetone as solvent affords mer- Ce(NO3 )3(OPPh3)3 • 2(CH3)2CO (2), the yield of which is dependent on the reaction time. A crystal structure determination of 2 shows that the Ce atom is coordinated with three bidentate nitrato groups and three OPPh3 ligands, thus achieving a coordination number of nine. Eight non-coordinating acetone molecules are present in the unit cell. Crystal data (292 K): space group P21/n (no. 14), 0=12.438(2), b = 25.532(4), c = 20.379 (4) Å, β = 96.33(2)°, V = 6432(1) , Z = 4, dcalc = 1.318 g em 3. Due to poor crystal quality the refinement converges at R = 0.11, Rw = 0.09. 2 is paramagnetic, but it does not follow the Curie-Weiss law at low temperature. Therefore crystal field theory was used in order to explain these findings.
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37

Hassani, Farbod, and Lucas Lombriser. "N-body simulations for parametrized modified gravity." Monthly Notices of the Royal Astronomical Society 497, no. 2 (July 16, 2020): 1885–94. http://dx.doi.org/10.1093/mnras/staa2083.

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ABSTRACT We present MG-evolution, an N-body code simulating the cosmological structure formation for parametrized modifications of gravity. It is built from the combination of parametrized linear theory with a parametrization of the deeply non-linear cosmological regime extrapolated from modified spherical collapse computations that cover the range of known screening mechanisms. We test MG-evolution, which runs at the speed of conventional ΛCDM simulations, against a suit of existing exact model-specific codes, encompassing linearized and chameleon f(R) gravity as well as the normal branch of the Dvali–Gabadadz–Porrati braneworld model, hence covering both large-field value and large-derivative screening effects. We compare the non-linear power spectra produced by the parametrized and model-specific approaches over the full range of scales set by the box size and resolution of our simulations, k = (0.05 − 2.5) $h\, \mathrm{Mpc}^{-1}$, and for two redshift slices, z = 0 and z = 1. We find sub-percent to one-percent level recovery of all the power spectra generated with the model-specific codes for the full range of scales. MG-evolution can be used for generalized and accurate tests of gravity and dark energy with the increasing wealth of high-precision cosmological survey data becoming available over the next decade.
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Gut, Kazimierz. "Broadband differential interference in a waveguide with a gradient refractive index distribution." Photonics Letters of Poland 14, no. 3 (September 30, 2022): 53. http://dx.doi.org/10.4302/plp.v14i3.1157.

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The paper presents a model of a planar broadband differential waveguide interferometer with a gradient refractive index distribution. Its response to the change in the refractive index of the waveguide cover layer is presented. The analysis was performed for the wavelength range from 0.5um to 0.7um. The orthogonal TE0 and TM0 modes propagating in this wavelength range are considered. The influence of the coverage refractive index change on the output characteristics of the system is shown. Full Text: PDF ReferencesP. Kozma, F. Kehl, E.Ehrentreich-Forster, C. Stamm and F.F. Bier, "Integrated planar optical waveguide interferometer biosensors: A comparative review", Biosens. Bioelectron. 58, 287 (2014), CrossRef M. Kitsara, K. Misiakos, I. Raptis, and E. Makarona, "Integrated optical frequency-resolved Mach-Zehnder interferometers for label-free affinity sensing", Opt. Express 18, 8193 (2010). CrossRef K. Misiakos, I. Raptis, A. Salapatas, E. Makarona, A. Bostials, et al., "Broad-band Mach-Zehnder interferometers as high performance refractive index sensors: Theory and monolithic implementation", Opt. Express 22, 8856 (2014). CrossRef K. Misiakos, I. Raptis, E. Makarona, A. Botsialas, A. Salapatas, et al, "All-silicon monolithic Mach-Zehnder interferometer as a refractive index and bio-chemical sensor", Opt. Express 22, 26803 (2014) CrossRef K. Misiakos, E. Makarona, M. Hoekman, R. Fyrogenis, K. Tukkiniemi, et al., "All-Silicon Spectrally Resolved Interferometric Circuit for Multiplexed Diagnostics: A Monolithic Lab-on-a-Chip Integrating All Active and Passive Components", ACS Photonics 6, 1694 (2019). CrossRef E. Makarona, A. Salapatas, I. Raptis, P. Petrou, S. Kakabakos, et al., "Broadband Young interferometry for simultaneous dual polarization bioanalytics", J Opt Soc Am B 34, 1691 (2017). CrossRef K. Gut, "Broad-band difference interferometer as a refractive index sensor", Opt. Express 25, 3111 (2017), CrossRef K. Gut, "Study of a Broadband Difference Interferometer Based on Low-Cost Polymer Slab Waveguides", Nanomaterials 9, 729 (2019), CrossRef T. Pustelny, J. Ignac-Nowacka and Z. Opilski, "Optical investigations on layered metalphthalocyanine nanostructures affected by NO2 applying the surface plasmon resonance method", Opt. Appl. 34, 563 (2004). CrossRef W. Lukosz, Sensor Actuat. B-Chem. "Integrated optical chemical and direct biochemical sensors", 29, 37 (1995). CrossRef Z. Qi, S. Xia and N. Matsuda, "Spectropolarimetric interferometer based on single-mode glass waveguides", Opt. Express, 16, 2245 (2008). CrossRef K. Gut, A. Zakrzewski, T. Pustelny, "Sensitivity of Polarimetric Waveguide Interferometer for Different Wavelengths", Acta Phys. Pol. 118, 1140 (2010). CrossRef J.E. Broquin, S. Honkanen, "Integrated Photonics on Glass: A Review of the Ion-Exchange Technology Achievements", Appl.Sci. 11, 4472 (2021). CrossRef G.C. Righini, J. Linares, "Active and Quantum Integrated Photonic Elements by Ion Exchange in Glass", Appl.Sci. 11, 5222 (2021). CrossRef
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39

Lachowicz, Miroslaw. "A class of individual-based models." BIOMATH 7, no. 1 (April 15, 2018): 1804127. http://dx.doi.org/10.11145/j.biomath.2018.04.127.

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We discuss a class of mathematical models of biological systems at microscopic level - i.e. at the level of interacting individuals of a population. The class leads to partially integral stochastic semigroups- [5]. We state general conditions guaranteeing the asymptotic stability. In particular under some rather restrictive assumptions we observe that any, even non-factorized, initial probability density tends in the evolution to a factorized equilibrium probability density - [4]. We discuss possible applications of the general theory such as redistribution of individuals - [2], thermal denaturation of DNA [1], and tendon healing process - [3]. [1] M. Debowski, M. Lachowicz, and Z. Szymanska, Microscopic description of DNA thermal denaturation, to appear. [2] M. Dolfin, M. Lachowicz, and A. Schadschneider, A microscopic model of redistribution of individuals inside an 'elevator', In Modern Problems in Applied Analysis, P. Drygas and S. Rogosin (Eds.), Bikhauser, Basel (2018), 77--86; DOI: 10.1007/978--3--319--72640-3.[3] G. Dudziuk, M. Lachowicz, H. Leszczynski, and Z. Szymanska, A simple model of collagen remodeling, to appear.[4] M. Lachowicz, A class of microscopic individual models corresponding to the macroscopic logistic growth, Math. Methods Appl. Sci., 2017, on--line, DOI: 10.1002/mma.4680[5] K. Pichor and R. Rudnicki, Continuous Markov semigroups and stability of transport equations, J. Math. Analysis Appl. 249, 2000, 668--685, DOI: 10.1006/jmaa.2000.6968
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40

Kaduk, James A., Amy M. Gindhart, and Thomas N. Blanton. "Powder X-ray diffraction of capecitabine, C15H22FN3O6." Powder Diffraction 34, no. 3 (July 11, 2019): 282–83. http://dx.doi.org/10.1017/s0885715619000575.

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Capecitabine (Xeloda) is a chemotherapy drug used to treat breast, gastric, and colorectal cancers. Commercial capecitabine crystallizes in the orthorhombic space group P212121 (#19) with a = 5.20587(3), b = 9.52324(4), c = 34.79574(21) Å, V = 1725.062(12) Å3, and Z = 4. A reduced cell search in the Cambridge Structural Database (Groom C. R., Bruno, I. J., Lightfoot, M. P., and Ward, S. C. (2016) Crystallogr. Sect. B: Struct. Sci., Cryst. Eng. Mater.72, 171–179) yielded three previous structure determinations (Rohlicek, J., Husak, M., Gavenda, A., Jegorov, A., Kratochvil, B., and Fitch, A. (2016). Acta Cryst. Sect. E: Crystallgr. Commun.72, 879–880, BOVDUM; Malińska, M., Krzeczyński, P., Czerniec-Michalik, E., Trzcińska, K., Cmoch, P., Kutner, A., and Woźniak, K. (2014). J. Pharm. Sci.103, 587–593, BOVDUM01 and BOVDUM02), using synchrotron powder data and later single crystal data at two temperatures. In this work, the sample was ordered from United States Pharmacopeial Convention (lot # G0J205), and analyzed as-received. The room temperature (295 K) crystal structure was refined using synchrotron (λ = 0.413914 Å) powder diffraction data, density functional theory (DFT), and Rietveld refinement techniques. Hydrogen positions were included as part of the structure, and were re-calculated during the refinement. The diffraction data were collected on a beamline 11-BM at the Advanced Photon Source, Argonne National Laboratory and the powder X-ray diffraction pattern of the compound is provided. The agreement of the Rietveld-refined and DFT-optimized structures is poorest in the pentyl side chain, consistent with the disorder observed previously.
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41

Nellist, Michael R., Forrest A. L. Laskowski, Jingjing Qiu, and Shannon W. Boettcher. "Nanoelectrode Atomic Force Microscopy Probes Enable the in-Operando Measurement of Surface Electrochemical Potentials during Oxygen Evolution Catalysis." ECS Meeting Abstracts MA2018-01, no. 31 (April 13, 2018): 1904. http://dx.doi.org/10.1149/ma2018-01/31/1904.

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Heterogeneous electrochemical processes, including (photo)electrochemical water splitting to evolve hydrogen via semiconductors and/or electrocatalysts, are driven by the accumulation of charge carriers and thus the interfacial electrochemical potential gradients that promote charge transfer. Conventional electrochemical techniques measure/control potentials at the conductive substrate, but are unable to isolate processes and electrochemical potentials at the surface during operation.1 In this talk, we will show that a nanoelectrode tip of an atomic force microscope cantilever can effectively sense the surface electrochemical potential of electrocatalysts in operando.2 First, we will discuss fundamental aspects and capabilities of the probes used.3 We then will show how the technique allows for measurement of the surface potential and thickness-dependent electronic properties of cobalt (oxy)hydroxide phosphate (CoPi). We show that when CoPi is deposited on illuminated photoanodes like hematite (a-Fe2O3), it acts as both a hole collector and an oxygen evolution catalyst. We highlight the versatility of the technique by comparing surface potentials of CoPi-decorated planar and mesoporous hematite, as well as bismuth vanadate photoelectrodes. References: (1) Nellist, M. R.; Laskowski, F. A. L.; Lin, F.; Mills, T. J.; Boettcher, S. W. Semiconductor-Electrocatalyst Interfaces: Theory, Experiment, and Applications in Photoelectrochemical Water Splitting. Acc. Chem. Res. 2016, 49, 733–740. (2) Nellist, M. R.; Laskowski, F. A. L.; Qiu, J.; Hajibabaei, H.; Sivula, K.; Hamann, T. W.; Boettcher, S. W. Potential-Sensing Electrochemical Atomic Force Microscopy for In-Operando Analysis of Electrocatalysis During (Photo)electrochemical Water Splitting. Accepted, Nature Energy 2017. (3) Nellist, M. R.; Chen, Y.; Mark, A.; Gödrich, S.; Stelling, C.; Jiang, J.; Poddar, R.; Li, C.; Kumar, R.; Papastavrou, G.; Retsch, M.; Brunschwig, B. S.; Huang, Z.; Xiang, C.; Boettcher, S. W. Atomic Force Microscopy with Nanoelectrode Tips for High Resolution Electrochemical, Nanoadhesion and Nanoelectrical Imaging. Nanotechnology 2017, 28, 95711.
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42

Jaroš, Filip, and Adéla Šrůtková. "Evoluční etika Franse de Waala a její filozofické reflexe." FILOSOFIE DNES 9, no. 1 (September 28, 2017): 52–70. http://dx.doi.org/10.26806/fd.v9i1.231.

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Článek představuje teorii původu lidské morálky od Franse de Waala a zhodnocuje přínos filozofických komentářů od Christine M. Korsgaardové a Mary Midgleyové z hlediska oboru evoluční etiky. Základní struktura de Waalova přístupu je v souladu se sentimentalistickou teorií morálky, která určuje soucítění jako bazální morální cit. V interpretaci vlivné neodarwinistické genocentrické školy dále hraje zásadní roli altruismus. Stoupenci tohoto směru (R. Dawkins, G. C. Williams) nicméně obhajují rozdělení krutého světa přírody a etického světa lidské kultury; distinkce byla Fransem de Waalem nazvána „teorií pozlátka“, neboť vyvolává obraz tenké vrstvy morálky nanesené na sobecké jádro lidské biologické přirozenosti. C. M. Korsgaardová využívá kantovskou etiku, aby ukázala, že zvířata nemohou být počítána za morální, neboť postrádají schopnost normativní autonomie. M. Midgleyová oponuje jak neodarwinistickému, tak kantovskému rozvrhu etiky a ukazuje, že soucítění patří k přirozenosti společensky žijících druhů a že reflektivní uvažování se vztahuje pouze k nejvyššímu patru evoluce morálky. Pozice M. Midgleyové je pro evoluční zkoumání morálky přínosnější než postup C. M. Korsgaardové. This article introduces Frans de Waal’s theory of the origins of human morality and evaluates the merits of the philosophical commentaries of Christine M. Korsgaard and Mary Midgley, and their application to the discipline of evolutionary ethics. The fundamental structure of de Wall’s approach is congruent with the sentimentalist theory of morality which determines sympathy as the most vital moral sentiment. A crucial role is also assigned to altruism in the view of morality in the influential genocentric neo-Darwinian school. However, proponents of this school (R. Dawkins, G. C. Williams) advocate the separation of the cruel world of nature and the ethical world of humane culture; this is dubbed “Veneer Theory” by F. de Waal, since it invokes an image of a thin layer of morality applied to a selfish core of biological human nature. C. M. Korsgaard applies Kantian ethics to argue that animals cannot count as moral because they are not capable of normative self-government. M. Midgley opposes both neo-Darwinism and the Kantian tradition in ethics in arguing that sympathy is a part of any social species’ nature, and that reflective reasoning refers only to the highest peak of moral evolution. It is argued that the position of M. Midgley is ultimately a more fruitful approach to the evolutionary examination of ethics than that proposed by C. M. Korsgaard.
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43

Gut, Kazimierz. "Model of the planar broadband differential waveguide interferometer as a humidity sensor." Photonics Letters of Poland 12, no. 2 (July 1, 2020): 55. http://dx.doi.org/10.4302/plp.v12i2.1022.

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The paper presents a model of the planar broadband differential waveguide interferometer. Its response to the change in thickness and refractive index of the waveguide layer due to the change in humidity is presented. The analysis was carried out for the wavelength range from 450 nm to 850 nm. The orthogonal modes TE0 and TM0, which propagate in this wavelength range, are considered. It is shown that by using light near the maximum of the system characteristic, instead of the spectrometer, the total power at the system output can be measured. Full Text: PDF ReferencesM. Kitsara, K. Misiakos, I. Raptis, and E. Makarona, "Integrated optical frequency-resolved Mach-Zehnder interferometers for label-free affinity sensing", Opt. Express 18, 8193 (2010). CrossRef K. Misiakos, I. Raptis, A. Salapatas, E. Makarona, A. Bostials, et al., "Broad-band Mach-Zehnder interferometers as high performance refractive index sensors: Theory and monolithic implementation", Opt. Express 22, 8856 (2014). CrossRef K. Misiakos, I. Raptis, E. Makarona, A. Botsialas, A. Salapatas, et al "All-silicon monolithic Mach-Zehnder interferometer as a refractive index and bio-chemical sensor", Opt. Express 22, 26803 (2014). CrossRef K. Misiakos, E. Makarona, M. Hoekman, R. Fyrogenis, K. Tukkiniemi, et al., "All-Silicon Spectrally Resolved Interferometric Circuit for Multiplexed Diagnostics: A Monolithic Lab-on-a-Chip Integrating All Active and Passive Components", ACS Photonics 6, 1694 (2019). CrossRef E. Makarona, A. Salapatas, I. Raptis, P. Petrou, S. Kakabakos, et al., "Broadband Young interferometry for simultaneous dual polarization bioanalytics", J Opt Soc Am B 34, 1691 (2017). CrossRef K. Gut, "Broad-band difference interferometer as a refractive index sensor", Opt. Express 25, 3111 (2017). CrossRef K. Gut, "Study of a Broadband Difference Interferometer Based on Low-Cost Polymer Slab Waveguides", Nanomaterials 9, 729 (2019). CrossRef W. Lukosz, "Integrated optical chemical and direct biochemical sensors", Sensor Actuat. B-Chem. 29, 37 (1995). CrossRef W. Knoll, O. Azzaroni, H. Duran, J. Kunze-Liebhäuser, K. Lau, et al. "Nanoporous thin films in optical waveguide spectroscopy for chemical analytics", Analytical and Bioanalytical Chemistry 412, 3299 (2020). CrossRef A. Bucciarellia, V. Mullonib, D. Maniglio, R.K. Pal, V.K. Yadavalli, at al., "A comparative study of the refractive index of silk protein thin films towards biomaterial based optical devices", Optical Materials 78, 407 (2018). CrossRef V.Prajzler, K. Min, S. Kim, and P. Nekvindova, "The Investigation of the Waveguiding Properties of Silk Fibroin from the Visible to Near-Infrared Spectrum", Materials 11, 112 (2018). CrossRef Q. Li, N. Qi, Y. Peng, Y. Zhange, L.Shi, et al. "Aggregation induced red shift emission of phosphorus doped carbon dots", RSC Advances 7, 178889 (2017). CrossRef P. Giovanni, Z. Yuji, N. Deboki, P. Nereus, D. Kaplan, et al. "The optical properties of regenerated silk fibroin films obtained from different sources", App. Phys. Lett. 111, 103702 (2017). CrossRef M. Procek, Z. Opilski, A. M. Maquenda, X.M. Berbel, S.Aznar-Cervantes et al., "Silk fibroin thin films for optical humidity sensing", Proceedings of SPIE 11204,1120409 (2019). CrossRef https://www.thorlabs.com/thorproduct.cfm?partnumber=M595F2 DirectLink
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Енкарнацьйон Санчеc Аренас and Ессам Басем. "Cognitive Exploration of ‘Traveling’ in the Poetry of Widad Benmoussa." East European Journal of Psycholinguistics 5, no. 2 (December 28, 2018): 6–15. http://dx.doi.org/10.29038/eejpl.2018.5.2.are.

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The concept of motion is central to the human cognition and it is universally studied in cognitive linguistics. This research paper investigates concept of motion, with special reference to traveling, in the poetry of Widad Benmoussa. It mainly focuses on the cognitive dimensions underlying the metaphorical representation of traveling. To this end, the research conducts a semi-automated analysis of a corpus representing Widad’s poetic collections. MetaNet’s physical path is mainly used to reveal the cognitive respects of traveling. The personae the poetess assigns are found to pursue a dynamic goal through activation of several physical paths. During the unstable romantic relations, several travel impediments are met. Travel stops and detours, travel companions, paths in journey as well as changing travel destinations are the most stressed elements of ‘Traveling’ respects. With such a described high frequency of sudden departures and hopping, the male persona the poetess assigns evinces typical features of 'wanderlust' or dromomania. References Arenas, E. S. (2018). Exploring pornography in Widad Benmoussa’s poetry using LIWC and corpus tools. Sexuality & Culture, 22(4), 1094–1111. Baicchi, A. (2017). The relevance of conceptual metaphor in semantic interpretation. Estetica. Studi e Ricerche, 7(1), 155–170. Carey, A. L., Brucks, M. S., Küfner, A. C., Holtzman, N. S., Back, M. D., Donnellan, M. B., ... & Mehl, M. R. (2015). Narcissism and the use of personal pronouns revisited. Journal of Personality and Social Psychology, 109(3), e1. David, O., & Matlock, T. (2018). Cross-linguistic automated detection of metaphors for poverty and cancer. Language and Cognition, 10(3), 467–493. David, O., Lakoff, G., & Stickles, E. (2016). Cascades in metaphor and grammar. Constructions and Frames, 8(2), 214–255. Essam, B. A. (2016). Nizarre Qabbani’s original versus translated pornographic ideology: A corpus-based study. Sexuality & Culture, 20(4), 965–986 Forceville, C. (2016). Conceptual metaphor theory, blending theory, and other cognitivist perspectives on comics. The Visual Narrative Reader, 89–114. Gibbs Jr, R. W. (2011). Evaluating conceptual metaphor theory. Discourse Processes, 48(8), 529–562. Kövecses, Z. (2008). Conceptual metaphor theory: Some criticisms and alternative proposals. Annual Review of Cognitive Linguistics, 6(1), 168–184. Lakoff, G. (2014). Mapping the brain's metaphor circuitry: Metaphorical thought in everyday reason. Frontiers in Human Neuroscience, 8, 958. Lakoff, G., & Johnson, M. (2008). Metaphors We Live By. University of Chicago press. Lee, M. G., & Barnden, J. A. (2001). Mental metaphors from the Master Metaphor List: Empirical examples and the application of the ATT-Meta system. Cognitive Science Research Papers-University of Birmingham CSRP. Lönneker-Rodman, B. (2008). The Hamburg metaphor database project: issues in resource creation. Language Resources and Evaluation, 42(3), 293–318. Martin, J. H. (1994). Metabank: A knowledge‐base of metaphoric language conventioms. Computational Intelligence, 10(2), 134–149. MetaNet Web Site: https://metanet.icsi.berkeley.edu/metanet/ Pennebaker, J. W., Boyd, R. L., Jordan, K., & Blackburn, K. (2015). The development and psychometric properties of LIWC2015. Retrieved from https://repositories.lib.utexas.edu/ handle/2152/31333 Santarpia, A., Blanchet, A., Venturini, R., Cavallo, M., & Raynaud, S. (2006, August). La catégorisation des métaphores conceptuelles du corps. In Annales Médico-psychologiques, revue psychiatrique. Vol. 164, No. 6. (pp. 476-485). Elsevier Masson. Stickles, E., David, O., Dodge, E. K., & Hong, J. (2016). Formalizing contemporary conceptual metaphor theory. Constructions and Frames, 8(2), 166–213 Tausczik, Y. R., & Pennebaker, J. W. (2010). The psychological meaning of words: LIWC and computerized text analysis methods. Journal of Language and Social Psychology,29(1), 24–54. Sources Benmoussa, W. (2001). I have Roots in Air (in Arabic). Morocco: Ministry of Culture. Benmoussa, W. (2006). Between Two Clouds (in Arabic and French). Morocco: Marsam Publishing House. Benmoussa, W. (2007). I Opened It on You (in Arabic). Morocco: Marsam Publishing House. Benmoussa, W. (2008). Storm in a Body (in Arabic). Morocco: Marsam Publishing House. Benmoussa, W. (2010). I Hardly Lost my Narcissism (in Arabic). Syria: Ward Publishing House. Benmoussa, W. (2014). I Stroll Along This Life. Morocco: Tobkal Publishing House
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Kurakina, Natalia A. "The Pragmatics of Complimentary Speech Acts: Aspects of Regional Identity." Bulletin of Kemerovo State University 21, no. 2 (July 8, 2019): 540–48. http://dx.doi.org/10.21603/2078-8975-2019-21-2-540-548.

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The research on the pragmatics of complimentary speech acts should be carried out with due account for such social dimensions as gender, status-marked, age-related, and regional constituent parts. The aim of the study at hand is to elaborate on complimentary speech acts in the light of what will be termed as 'regional identity' within the framework of this article. Notwithstanding many studies of regional identity [1], few have revealed evident account of the representation of the interlocutor's regional identity in the language. This investigation concentrates on the theory of regional identity. The aim of the study is to consider the impact of the place where people live in on the production of complimentary speech acts in the British and American linguacultures. This scientific paper analyzes the significant features of compliments produced by people of urban-related identity and rural-related identity. Therefore, the paper focuses on answering the following research questions: What is the definition of complimentary speech act? What does regional identity mean? How is regional identity reflected in the compliments paid by the British and the Americans? Following the critical analysis of current works [1] on the theory of regional identity, this paper presents complimentary speech acts collected from English and American fiction of the XX and XXI centuries: Fowles J., Jardine Q., Salinger, Smith Z., Stockett K., Yates R., in the prospect of investigation the reflection of regional identity in language.
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Hasan, Md Rabiul, S. Ali, and S. A. Emi. "Ultra-low material loss microstructure fiber for terahertz guidance." Photonics Letters of Poland 9, no. 2 (July 1, 2017): 66. http://dx.doi.org/10.4302/plp.v9i2.679.

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In this letter, we numerically demonstrate a hybrid-core microstructure fiber for low-loss terahertz guidance. Finite element method with circular perfectly matched layer boundary condition is applied to characterize the guiding properties. It is shown that by using a triangular-core inside a square lattice microstructure exhibits ultra-low effective material loss (EML) of 0.169 dB/cm and low confinement loss of 0.087 dB/cm at the operating frequency of 0.75 THz. We also discuss how other guiding properties including power fraction, single mode propagation and dispersion vary with changing of core diameter and operating frequencies. This low-loss microstructure fiber can be effectively used in numerous applications in the THz regime. Full Text: PDF ReferencesJ. J. Bai, J. N. Li, H. Zhang, H. Fang, S. J. Chang, "A porous terahertz fiber with randomly distributed air holes", Appl. Phys. B 103, 2 (2011). CrossRef S. Atakaramians, S. Afshar, B. M. Fischer, D. Abbott, T. M. Monro, "Porous fibers: a novel approach to low loss THz waveguides", Opt. Express 16, 12 (2008). CrossRef K. Wang, D. M. Mittleman, "Metal wires for terahertz wave guiding", Nature 432, 7015 (2004). CrossRef R. Islam, G. K. M. Hasanuzzaman, M. S. Habib, S. Rana, M. A. G. Khan, "Low-loss rotated porous core hexagonal single-mode fiber in THz regime", Opt. Fiber Technol. 24, (2015). CrossRef M. I. Hasan, S. M. A. Razzak, G. K. M. Hasanuzzaman, M. S.Habib, "Ultra-Low Material Loss and Dispersion Flattened Fiber for THz Transmission", IEEE Photon. Technol. Lett. 26, 23 (2014). CrossRef S. F. Kaijage, Z. Ouyang, X. Jin, "Porous-Core Photonic Crystal Fiber for Low Loss Terahertz Wave Guiding", IEEE Photon. Technol. Lett. 25, 15 (2013). CrossRef M. R. Hasan, M. A. Islam, A. A. Rifat, "A single mode porous-core square lattice photonic crystal fiber for THz wave propagation", J. Eur. Opt. Soc. Rapid Publ. 12, 1 (2016). CrossRef M. R. Hasan, M. A. Islam, M. S. Anower, S. M. A. Razzak, "Low-loss and bend-insensitive terahertz fiber using a rhombic-shaped core", Appl. Opt. 55, 30 (2016). CrossRef S. Ali et al. "Ultra-low loss THz waveguide with flat EML and near zero flat dispersion properties", in 9th Int. Conf. on Elect. and Comp. Eng., IEEE, (2016). CrossRef K. Nielsen, H. K. Rasmussen, A. J. Adam, P. C. Planken, O. Bang, P. U. Jepsen, "Bendable, low-loss Topas fibers for the terahertz frequency range", Opt. Express 17, 10 (2009). CrossRef A. W. Snyder, J. D. Love, Optical waveguide theory (London, Chapman & Hall 1983). DirectLink L. Vincetti, A. Polemi, in Antennas and Propagation Society International Symposium, IEEE (2009)G. P. Agrawal, Nonlinear fiber optics (Boston, Academic Press 1989). CrossRef B. S. Williams, "Terahertz quantum-cascade lasers", Nat. Photon. 1, 9 (2007). CrossRef H. W. Hubers et al. "Terahertz quantum cascade laser as local oscillator in a heterodyne receiver", Opt. Express 13, 15 (2005). CrossRef
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Popović, Dragan, Miloš Popović, Evagelia Boli, Hamidovoć Mensur, and Marina Jovanović. "Structure of Personality Variables of Special Olympics Athletes and Unified Partners in Football." European Journal of Social Sciences Education and Research 3, no. 1 (April 30, 2015): 112. http://dx.doi.org/10.26417/ejser.v3i1.p112-120.

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Due to its simplicity and explicit algebraic and geometric meanings, latent dimensions, and identification structures associated with these dimensions, reliability of the latent dimensions obtained by orthoblique transformation of principal components can be determined in a clear and unambiguous manner. Let G = (gij); i = 1, ..., n; j = 1, ..., m is an acceptably unknown matrix of measurement errors in the description of a set E on a set V. Then the matrix of true results of entities from E on the variables from V will be Y = Z - G. Assume, in accordance with the classical theory of measurement (Gulliksen, 1950, Lord - Novick, 1968; Pfanzagl, 1968), that matrix G is such that YtG = 0 and GtGn-1 = E2 = (ejj2) where E2 is a diagonal matrix, the covariance matrix of true results will be H = YtYn-1 = R - E2 if R = ZtZn-1 is an intercorrelation matrix of variables from V defined on set E. Suppose that the reliability coefficients of variables from V are known; let P be a diagonal matrix whose elements j are these reliability coefficients. Then the variances of measurement errors for the standardized results on variables from V will be just elements of the matrix E2 = I - . Now the true values on the latent dimensions will be elements of the matrix  = (Z - G)Q with the covariance matrix  = tn-1 = QtHQ = QtRQ - QtE2Q = (pq). Therefore, the true variances of the latent dimensions will be the diagonal elements of matrix ; denote those elements with p2. Based on the formal definition of the reliability coefficient of some variable  = t2 /  where t2 is a true variance of the variable and  is the total variance of the variable, or the variance that also includes the error variance, the reliability coefficients of the latent dimensions, if the reliability coefficients of the variables from which these dimensions have been derived are known, will be p = p2 / sp2 = 1 - (qptE2qp )(qptRq )-1 p = 1,...,k
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Stremplewski, Patrycjusz, Maciej Nowakowski, Dawid Borycki, and Maciej Wojtkowski. "Fast method of speckle suppression for reflection phase microscopy." Photonics Letters of Poland 10, no. 4 (December 31, 2018): 118. http://dx.doi.org/10.4302/plp.v10i4.850.

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Light propagating in turbid medium is randomly altered by optical inhomogeneities, which not only change the momentum and polarization of light but also generate a speckle pattern. All these effects strongly limit capabilities of laser based, quantitative phase–sensitive optical biomedical imaging modalities by hindering a reconstruction of phase distribution. Here we introduce the method of rapid incident light modulation, which allows to suppress speckle noise and preserve the spatial phase distribution. We implement this approach in the full-field Michelson interferometer, where the incident light is modulated using the digitalmicromirror device (DMD). Full Text: PDF ReferencesF. Zernike, "Phase contrast, a new method for the microscopic observation of transparent objects part II," Physica 9, 974-986 (1942). CrossRef M. C. Pitter, C. W. See, and M. G. Somekh, "Full-field heterodyne interference microscope with spatially incoherent illumination," Opt. Lett. 29, 1200-1202 (2004). CrossRef N. B. E. Sawyer, S. P. Morgan, M. G. Somekh, C. W. See, X. F. Cao, B. Y. Shekunov, and E. Astrakharchik, "Wide field amplitude and phase confocal microscope with parallel phase stepping," Review of Scientific Instruments 72, 3793-3801 (2001). CrossRef G. W. John and I. H. Keith, "A diffuser-based optical sectioning fluorescence microscope," Measurement Science and Technology 24, 125404 (2013). CrossRef S. Lowenthal and D. Joyeux, "Speckle Removal by a Slowly Moving Diffuser Associated with a Motionless Diffuser," J. Opt. Soc. Am. 61, 847-851 (1971). CrossRef S. Kubota and J. W. Goodman, "Very efficient speckle contrast reduction realized by moving diffuser device," Applied Optics 49, 4385-4391 (2010). CrossRef Y. Li, H. Lee, and E. Wolf, "The effect of a moving diffuser on a random electromagnetic beam," Journal of Modern Optics 52, 791-796 (2005). CrossRef C.-Y. Chen, W.-C. Su, C.-H. Lin, M.-D. Ke, Q.-L. Deng, and K.-Y. Chiu, "Reduction of speckles and distortion in projection system by using a rotating diffuser," Optical Review 19, 440-443 (2012). CrossRef J. Lehtolahti, M. Kuittinen, J. Turunen, and J. Tervo, "Coherence modulation by deterministic rotating diffusers," Opt. Express 23, 10453-10466 (2015). CrossRef J.-W. Pan and C.-H. Shih, "Speckle reduction and maintaining contrast in a LASER pico-projector using a vibrating symmetric diffuser," Opt. Express 22, 6464-6477 (2014). CrossRef J. I. Trisnadi, "Hadamard speckle contrast reduction," Optics Letters 29, 11-13 (2004). CrossRef M. Szkulmowski, I. Gorczynska, D. Szlag, M. Sylwestrzak, A. Kowalczyk, and M. Wojtkowski, "Efficient reduction of speckle noise in Optical Coherence Tomography," Opt. Express 20, 1337-1359 (2012). CrossRef J. W. Goodman, Speckle phenomena in optics: theory and applications (Roberts and Company Publishers, 2006). DirectLink Y. Choi, P. Hosseini, W. Choi, R. R. Dasari, P. T. C. So, and Z. Yaqoob, "Dynamic speckle illumination wide-field reflection phase microscopy," Opt. Lett. 39, 6062-6065 (2014). CrossRef Y. Choi, T. D. Yang, K. J. Lee, and W. Choi, "Full-field and single-shot quantitative phase microscopy using dynamic speckle illumination," Opt. Lett. 36, 2465-2467 (2011). CrossRef R. Zhou, D. Jin, P. Hosseini, V. R. Singh, Y.-h. Kim, C. Kuang, R. R. Dasari, Z. Yaqoob, and P. T. C. So, "Modeling the depth-sectioning effect in reflection-mode dynamic speckle-field interferometric microscopy," Optics Express 25, 130-143 (2017). CrossRef M. Schmitz, T. Rothe, and A. Kienle, "Evaluation of a spectrally resolved scattering microscope," Biomedical optics express 2, 2665-2678 (2011). CrossRef P. Judy, The line spread function and modulation transfer function of a computer tomography scanner, Med. Phys (1976), Vol. 3, pp. 233-236. CrossRef
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Бедова, Евгения Валерьевна, Дарья Игоревна Колганова, and Олег Александрович Козадеров. "Вольтамперометрия кинетически необратимого электрохимического процесса на шероховатом электроде." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 22, no. 2 (June 25, 2020): 211–18. http://dx.doi.org/10.17308/kcmf.2020.22/2833.

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Исследована роль эффекта морфологической неоднородности поверхности электрода в вольтамперометрическом отклике необратимого электрохимического процесса, протекающего в смешанно-кинетическом режиме. Разработан алгоритм численного моделирования электродной реакции, включающей последовательные стадии необратимого переноса заряда и диффузионного массопереноса, с применением метода конечных элементов в компьютерном пакете Comsol Multiphysics. Численным решением диффузионно-кинетической задачи получены поляризационныекривые необратимого электрохимического процесса на электродах с шероховатой поверхностью, формируемой неровностями различного геометрического типа (синусоидальная поверхность, поверхность с выступами, трапецеидальная поверхность, пилообразная поверхность и «случайная» поверхность). Установлены условия использования вольтамперометрического метода изучения кинетики электрохимических процессов, при которых необходимо учитывать шероховатость электрода. Найдено, что при относительно больших скоростях сканирования потенциала вольтамперометрический максимум на поляризационной кривой формируется в условиях весьмамалой толщины диффузионного слоя, который повторяет профиль шероховатой поверхности, поэтому сила тока пика пропорциональна фактору шероховатости. Если же скорость сканирования относительно мала, то к моменту достижения пика на вольтамперограмме фронт диффузии полностью сглаживается, и шероховатость поверхности электрода уже не влияет на ток максимума. При этом форма неровностей, ответственных за шероховатость, не оказывает заметного влияния на вольтамперометрическом отклике необратимого электрохимического процесса. ЛИТЕРАТУРА 1. Compton R. G., Banks Craig E. Understanding Voltammetry. World Scientific; 2007. 371 p. DOI:https://doi.org/10.1142/64302. Vvedenskii A. V., Kozaderov О. А. Linear voltammetry of anodic selective dissolution of homogeneousmetallic alloys. In: Saito Y., Kikuchi T. (eds.) Voltammetry: theory, types and applications. New York: NovaScience Publishers, Inc.; 2014. 349 p.3. Bard A. J., Faulkner L. R. Electrochemical methods. Fundamentals and applications. 2nd edition. New York:Wiley; 2000. 856 p.4. Галюс З. Теоретические основы электрохимического анализа. М.: Мир; 1974. 552 с.5. Matsuda H., Ayabe J. Z. Zur theorie der randlessevcikschen kathodenstrahl-polarographie. Z. Electrochem.1955;59( 6): 494–503. DOI: https://doi.org/10.1002/bbpc.195505906056. Menshykau D., Streeter I., Compton R. G. Influence of electrode roughness on cyclic voltammetry. J.Phys. Chem. C. 2008;112(37): 14428–14438. DOI: https://doi.org/10.1021/jp80474237. Menshykau D., Compton R. G. Infl uence of electrode roughness on stripping voltammetry: mathematicalmodeling and numerical simulation. J. Phys. Chem. C. 2009;113(35): 15602–15620. DOI: https://doi.org/10.1021/jp904187t8. Козадеров О. А., Введенский А. В. Вольтамперометрия селективного растворения бинарногогомогенного металлического сплава в условиях твердофазного массопереноса. Конденсированныесреды и межфазные границы. 2011;13(4): 452–459. Режим доступа: http://www.kcmf.vsu.ru/resources/t_13_4_2011_010.pdf9. Козадеров О. А., Лозовский В. В., Введенский А. В. Хроновольтамперометрия анодного растворения сплавов Ag-Au в нитратной среде. Физико-химия поверхности и защита материалов.2008;44(4): 359–368. Режим доступа: http://naukarus.com/hronovoltamperometriya-anodnogorastvoreniya-splavov-ag-au-v-nitratnoy-srede10. Козадеров О. А., Введенский А. В. Вольтамперометрия селективного растворения Ag,Au-сплавов в условиях твердофазно-жидкофазного массопереноса. Физикохимия поверхности и защитаматериалов. 2013;49(6): 661–670. DOI: https://doi.org/10.7868/S004418561306009011. Prasad M. Arun, Sangaranarayanan M. V. Formulation of a simple analytical expression for irreversibleelectron transfer processes in linear sweep voltammetry and its experimental verifi cation. ElectrochimicaActa. 2004;49(16): 2569–2579. DOI: https://doi.org/10.1016/j.electacta.2004.01.02812. Singh T., Dutt J. Linear sweep voltammetry at the tubular graphite electrode: Part II. Totally irreversibleprocesses. J. of Electroanalytical Chem. and Interfacial Electrochemistr. 1985;196(1): 35–42. DOI:https://doi.org/10.1016/0022-0728(85)85078-613. Jin W., Cui H., Zhu L., Wang Sh. On the theory of the integer and half-integer integral and derivativelinear potential sweep voltammetry for a totally irreversible interfacial reaction. J. of ElectroanalyticalChem. and Interfacial Electrochemistr. 1991;309(1–2): 37–47. DOI: https://doi.org/10.1016/0022-0728(91)87002-L14. Aoki K., Tokuda K., Matsuda H. Theory of linear sweep voltammetry with fi nite diffusion space: Part II.Totally irreversible and quasi-reversible cases. J. of Electroanalytical Chem. and Interfacial Electrochemistr.1984;160(1–2): 33–45. DOI: https://doi.org/10.1016/S0022-0728(84)80113-815. Andricacos P. C., Cheh H. Y. The application of linear sweep voltammetry to a rotating disk electrodefor a fi rst-order irreversible reaction. J. of Electroanalytical Chem. and Interfacial Electrochemistr.1981;124(1–2): 95–101. DOI: https://doi.org/10.1016/S0022-0728(81)80287-216. Kohler H., Piron D. L., Bйlanger G. A Linear Sweep Voltammetry theory for irreversible electrodereactions with an order of one or higher: I. Mathematical formulation. J. of the Electrochemical Society.1987;134(1): 120–126. DOI: https://doi.org/10.1149/1.210038817. Nahir T. M., Clark R. A. Bowden E. F. Linearsweep voltammetry of irreversible electron transfer insurface-confi ned species using the marcus theory. Anal. Chem. 1994;66(15): 2595–2598. DOI: https://doi.org/10.1021/ac00087a02718. Трухан С. Н., Деревщиков В. С. Компьютерное моделирование процессов и явлений физическойхимии. Новосибирск: ННИГУ; 2012. 75 с.19. Красников Г. Е., Нагорнов О. В., Старостин Н. В. Моделирование физических процессов сиспользованием пакета Comsol Multiphysics. М.: НИЯУ МИФИ; 2012. 184 с.20. Дамаскин Б. Б., Петрий О. А., Цирлина Г. А. Электрохимия: Учебник для вузов. М.: Химия; 2001.624 c.
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Sufyan, Yusuf, and Fuad Mas'ud. "Determinant Model of Decision to Use the Online Donation Platform: Technology Acceptance Model and Theory of Planned Behavior Approach." Jurnal Ekonomi Syariah Teori dan Terapan 9, no. 6 (December 7, 2022): 884–97. http://dx.doi.org/10.20473/vol9iss20226pp884-897.

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ABSTRAK Strategi penghimpunan shadaqah di era modern harus menyesuaikan dengan kemajuan teknologi dan preferensi generasi milenial. Kitabisa.com merupakan platform donasi berbasis online yang terus mengalami pertumbuhan pengumpulan donasi dan banyak digunakan masyarakat muslim milenial. Tujuan dari penelitian ini adalah untuk menganalisis faktor-faktor yang mempengaruhi keputusan penggunaan platform kitabisa.com melalui pendekatan Technology Acceptance Model (TAM) dan Theory of Planned Behavior (TPB). Penelitian ini menggunakan teknik sampling purposive sampling. Proses pengkolektifan data dilakukan melalui pengisian kuesioner oleh 270 responden, dimana responden merupakan masyarakat muslim milenial yang pernah menggunakan platform kitabisa.com. Penelitian ini dianalisis dengan menggunakan Structural Equation Modelling (SEM) melalui aplikasi SmartPLS versi 3.0. Hasil analisis memperlihatkan bahwa variabel yang diadopsi dari TPB yaitu Perceived Behavioral Control (PBC), variabel sikap dan norma subjektif berpengaruh secara positif serta signifikan terhadap minat penggunaan platform kitabisa.com. Variabel yang diadopsi dari TAM yaitu Perceived ease of use memiliki pengaruh positif dan signifikan, sedangkan Perceived usefulness tidak berpengaruh terhadap minat penggunaan platform kitabisa.com. Kemudian, minat menggunakan platform kitabisa.com memiliki pengaruh positif serta signifikan terhadap keputusan penggunaan platform kitabisa.com. Implikasi dari penelitian ini adalah agar lembaga penghimpun sedekah online memiliki evaluasi atau penilaian untuk memperbaiki dan mengembangkan platform sedekah berbasis online bagi masyarakat muslim milenial maupun masyarakat secara umum yang akan melakukan sedekah secara online. Kata Kunci: Technology Acceptance Model (TAM), Theory of Planned Behavior (TPB), Minat Penggunaan, Keputusan Penggunaan. ABSTRACT The strategy of collecting shadaqah (almsgiving) must be aligned with technological developments and millennial societies. Kitabisa.com is an online shadaqah platform that continues to grow in collecting shadaqahs and is widely used by the millennial Muslim society. The purpose of this research was to analyze the factors that influence the use behavior of kitabisa.com with the Technology Acceptance Model (TAM) and Theory of Planned Behavior (TPB) approaches. The sampling technique in this study was taken using purposive sampling. The data collection process was carried out through filling out questionnaires by 270 respondents, of which the respondents were millennial who had used the Kitabisa.com platform. The analytical technique used is Structural Equation Modeling (SEM) using the SmartPLS version 3.0 application. The results of the analysis show that the variables adopted from TPB, namely Perceived Behavioral Control (PBC), attitudes towards use and subjective norms have a positive and significant influence on intention to use the kitabisa.com platform. While the variables adopted from TAM, Perceived ease of use has a positive and significant effect, while Perceived usefulness has no influence on intention to use the kitabisa.com platform. Then, intention to use the kitabisa.com platform has a positive and significant impact on the use behavior the kitabisa.com platform. The implication of this research is that online shadaqah collecting institutions have an evaluation or assessment to improve and develop an online-based shadaqah platform for millennial Muslim communities and the general public who will do shadaqah online. Keywords: Technology Acceptance Model (TAM), Theory of Planned Behavior (TPB), Intention to Use, Behavior of use. REFERENCES Abdullah, P. M. (2015). 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