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Journal articles on the topic 'Syvtyvkar, R.S.F.S.R'

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Published: 27 July 2024

Last updated: 28 July 2024

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1

Mente, Nolan R., Andrew J. Wiemer, Jeffrey D. Neighbors, John A. Beutler, Raymond J. Hohl, and David F. Wiemer. "Total synthesis of (R,R,R)- and (S,S,S)-schweinfurthin F: Differences of bioactivity in the enantiomeric series." Bioorganic & Medicinal Chemistry Letters 17, no. 4 (February 2007): 911–15. http://dx.doi.org/10.1016/j.bmcl.2006.11.096.

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2

Prischepa, Serghej L., Carla Cirillo, Carmine Attanasio, Antonio Vecchione, Vasilij N. Kushnir, Chris Bell, Jan Aarts, and Mikhail Yu Kupriyanov. "Resistive Transitions in S/F/S Trilayers." Solid State Phenomena 152-153 (April 2009): 478–81. http://dx.doi.org/10.4028/www.scientific.net/ssp.152-153.478.

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The phase transition of Nb/Cu0.41Ni0.59/Nb triple layers from the normal to the superconducting state has been studied experimentally by measuring the temperature dependence of the electrical resistance, R(T). It is shown that the shape of the R(T) curves is different depending on the Cu0.41Ni0.59 thickness. To explain the experimental data we developed a qualitative model which makes more evident the interconnection between the superconducting phase transition and the 0 to  crossover in SFS structures.

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3

Tietz, Hubert, and Rolf Trautner. "Tauber-S�tze f�r Potenzreihenverfahren." Archiv der Mathematik 50, no. 2 (February 1988): 164–74. http://dx.doi.org/10.1007/bf01194575.

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4

Langmann, Klaus. "Endlichkeits- und Picard-S�tze f�r quasiprojektive R�ume." Mathematische Zeitschrift 197, no. 4 (December 1988): 483–504. http://dx.doi.org/10.1007/bf01159808.

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5

Yu, Yong, and Guizhen Liu. "[r, s, t; f]-COLORING OF GRAPHS." Journal of the Korean Mathematical Society 48, no. 1 (January 1, 2011): 105–15. http://dx.doi.org/10.4134/jkms.2011.48.1.105.

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6

Murchison, Duncan. "OBITUARY: THOMAS STANLEY WESTOLL, F. R. S." Proceedings of the Yorkshire Geological Society 51, no. 1 (June 1996): 80–81. http://dx.doi.org/10.1144/pygs.51.1.80.

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7

Abarbanel, Joseph, and Shmuel Rosset. "The Schur multiplier of F/[R,S]." Journal of Pure and Applied Algebra 198, no. 1-3 (June 2005): 1–8. http://dx.doi.org/10.1016/j.jpaa.2004.11.011.

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8

Magill, K. D. "The primes of S(R)." Bulletin of the Australian Mathematical Society 44, no. 3 (December 1991): 417–27. http://dx.doi.org/10.1017/s0004972700029920.

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S(R) is the semigroup, under composition, of all continuous selfmaps of the space R of real numbers. We show that the primes of S(R) are precisely those continuous selfmaps which are surjective and have exactly two local extrema. Additional results are then derived from this. For example, if f is any surjective continuous selfmap of R with n ≥ 2 local extrema, then there exist homeomorphisms from R onto R such that m ≤ 1 + n/2 andwhere P is the polynomial defined by P(x) = x3 − x. It follows from this that the homeomorphisms together with the polynomial P generate a dense subsemigroup of S(R) where the topology on S(R) is the compact-open topology.

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Кусраева, З. А., and C. Н. Сиукаев. "Some Properties of Orthogonally Additive Homogeneous Polynomials on Banach Lattices." Владикавказский математический журнал, no. 4() (December 22, 2020): 92–103. http://dx.doi.org/10.46698/d4799-1202-6732-b.

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Пусть $E$ и $F$ - банаховы решетки, а $\mathcal{P}_o({}^s\!E,F)$ и $\mathcal{P}_o^r({}^s\!E,F)$ обозначают соответственно пространства непрерывных и регулярных ортогонально аддитивных $s$-однородных полиномов, действующих между банаховыми решетками $E$ и $F$. Основные результаты статьи таковы.\\ \teorema{ 3.4}Пусть $s\in\mathbb{N}$ and $(E,\|\cdot\|)$ - порядково $\sigma$-полная $s$-выпуклая банахова решетка. Равносильны следующие утверждения: $(1)$ $\mathcal{P}_o({}^s\!E,F)\equiv\mathcal{P}_o^r({}^s\!E,F)$ для любого $AM$-пространства $F$; $(2)$ $\mathcal{P}_o({}^s\!E,c_0)=\mathcal{P}^r_o({}^s\!E,F)$ для любого $AM$-пространства $F$; $(3)$ $\mathcal{P}_o({}^s\!E,c_0)=\mathcal{P}^r_o({}^s\!E,c_0)$; $(4)$ $\mathcal{P}_o({}^s\!E,c_0)\equiv\mathcal{P}_o^r({}^s\!E,c_0)$; $(5)$ $E$ дискретна и порядково непрерывна.\Endproc\\ \teorema{ 4.3}Пусть $E$ и $F$ - банаховы решетки, причем $E$ $s$-выпукла для некоторого натурального $s\in\mathbb{N}$. Тогда равносильны следующие утверждения: $(1)$ $\mathcal{P}_o^r({}^s\!E,F)$ - векторная решетка и регулярная норма. $\|\cdot\|_r$ on $\mathcal{P}_o^r({}^s\!E,F)$ на ней порядково непрерывна. $(2)$ Каждый положительный $s$-однородный ортогонально аддитивный полином из $E$ в $F$ является $L$- и $M$-слабо компактным. \Endproc\\ \teorema{ 4.6}Пусть $E$ и $F$ - банаховы решетки, причем $F$ обладает положительным свойством Шура, а $E$ $s$-выпукла для некоторого $s\in\mathbb{N}$. Тогда равносильны утверждения: $(1)$ $(\mathcal{P}_o^r({}^s\!E,F),\|\cdot\|_r)$ является $K\!B$-пространством. $(2)$ Регулярная норма $\|\cdot\|_r$ пространства $\mathcal{P}_o^r({}^s\!E,F)$ порядково непрерывна. $(3)$ $E$ не содержит подрешеток, изоморфных $l^s$.\Endproc

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10

Djibril Diallo, Abdoul, Papa Cheikhou Diop, and Mamadou Barry. "On S-quasi-Dedekind Modules." Journal of Mathematics Research 9, no. 5 (September 20, 2017): 97. http://dx.doi.org/10.5539/jmr.v9n5p97.

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Let $R$ be a commutative ring and $M$ an unital $R$-module. A proper submodule $L$ of $M$ is called primary submodule of $M$, if $rm\in L$, where $r\in R$, $m\in M$, then $m\in L$ or $r^{n}M\subseteq L$ for some positive integer $n$. A submodule $K$ of $M$ is called semi-small submodule of $M$ if, $K+L\neq M$ for each primary submodule $L$ of $M$. An $R$-module $M$ is called S-quasi-Dedekind module if, for each $f\in End_{R}(M),$ $ f\neq 0$ implies $Kerf$ semi-small in $M$. In this paper we introduce the concept of S-quasi-Dedekind modules as a generalisation of small quasi-Dedekind modules, and gives some of their properties, characterizations and exemples. Another hand we study the relationships of S-quasi-Dedekind modules with some classes of modules and their endomorphism rings.

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11

Brešar, Matej. "On skew-commuting mappings of rings." Bulletin of the Australian Mathematical Society 47, no. 2 (April 1993): 291–96. http://dx.doi.org/10.1017/s0004972700012521.

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A mapping f of a ring R into itself is called skew-commuting on a subset S of R if f(s)s + sf(s) = 0 for all s ∈ S. We prove two theorems which show that under rather mild assumptions a nonzero additive mapping cannot have this property. The first theorem asserts that if R is a prime ring of characteristic not 2, and f: R → R is an additive mapping which is skew-commuting on an ideal I of R, then f(I) = 0. The second theorem states that zero is the only additive mapping which is skew-commuting on a 2-torsion free semiprime ring.

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12

Bhakta, Mousomi, Souptik Chakraborty, Olimpio H. Miyagaki, and Patrizia Pucci. "Fractional elliptic systems with critical nonlinearities." Nonlinearity 34, no. 11 (September 28, 2021): 7540–73. http://dx.doi.org/10.1088/1361-6544/ac24e5.

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Abstract This paper deals with existence, uniqueness and multiplicity of positive solutions to the following nonlocal system of equations: }0\quad \text{in}\hspace{2pt}{\mathbb{R}}^{N},\end{aligned}\right.\qquad \qquad \qquad \qquad (\mathcal{S})\end{equation*}?> ( − Δ ) s u = α 2 s * | u | α − 2 u | v | β + f ( x ) in R N , ( − Δ ) s v = β 2 s * | v | β − 2 v | u | α + g ( x ) in R N , u , v > 0 in R N , ( S ) where 0 < s < 1, N > 2s, α, β > 1, α + β = 2N/(N − 2s), and f, g are nonnegative functionals in the dual space of H ˙ s ( R N ) , i.e., 〈 ( H ˙ s ) ′ f , u 〉 H ˙ s ⩾ 0 , whenever u is a nonnegative function in H ˙ s ( R N ) . When f = 0 = g, we show that the ground state solution of ( S ) is unique. On the other hand, when f and g are nontrivial nonnegative functionals with ker(f) = ker(g), then we establish the existence of at least two different positive solutions of ( S ) provided that ‖ f ‖ ( H ˙ s ) ′ and ‖ g ‖ ( H ˙ s ) ′ are small enough. Moreover, we also provide a global compactness result, which gives a complete description of the Palais–Smale sequences of the above system.

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13

CHUNG, JAEYOUNG, CHANG-KWON CHOI, and SOON-YEONG CHUNG. "ON THE REAL-VALUED GENERAL SOLUTIONS OF THE D’ALEMBERT EQUATION WITH INVOLUTION." Bulletin of the Australian Mathematical Society 95, no. 2 (November 23, 2016): 260–68. http://dx.doi.org/10.1017/s000497271600099x.

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We find all real-valued general solutions$f:S\rightarrow \mathbb{R}$of the d’Alembert functional equation with involution$$\begin{eqnarray}\displaystyle f(x+y)+f(x+\unicode[STIX]{x1D70E}y)=2f(x)f(y) & & \displaystyle \nonumber\end{eqnarray}$$for all$x,y\in S$, where$S$is a commutative semigroup and$\unicode[STIX]{x1D70E}~:~S\rightarrow S$is an involution. Also, we find the Lebesgue measurable solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the above functional equation, where$\unicode[STIX]{x1D70E}:\mathbb{R}^{n}\rightarrow \mathbb{R}^{n}$is a Lebesgue measurable involution. As a direct consequence, we obtain the Lebesgue measurable solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the classical d’Alembert functional equation$$\begin{eqnarray}\displaystyle f(x+y)+f(x-y)=2f(x)f(y) & & \displaystyle \nonumber\end{eqnarray}$$for all$x,y\in \mathbb{R}^{n}$. We also exhibit the locally bounded solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the above equations.

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14

Marisetti Sowjanya, Radha Rani Tammileti, Gangadhara Rao Ankata,. "f-Primary Ideals in Semigroups." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 5 (April 11, 2021): 857–61. http://dx.doi.org/10.17762/turcomat.v12i5.1495.

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Right now, the terms left f-Primary Ideal, right f-Primary Idealand f- primary ideals are presented. It is Shown that An ideal U in a semigroup S fulfills the condition that If G, H are two ideals of S with the end goal that f (G) f (H)⊆U and f(H)⊈U then f(G)⊆rf (U)iff f (q), f (r)⊆S , <f (q)><f (r)>⊆U and f (r)⊈U then f (q)⊆rf (U) in like manner it is exhibited that An ideal U out of a semigroup S fulfills condition If G, H are two ideals of S such that f (G) f (H)⊆U and f (G)⊈U then f (H) ⊆rf (U) iff f (q), f (r)⊆S,<f (q)><f (r)>⊆U and f (q)⊈U⇒f (r)⊆rf (U). By utilizing the meanings of left - f- primary and right f- primary ideals a couple of conditions are illustrated It is shown that J is a restrictive maximal ideal in Son the off chance thatrf (U) = J for some ideal U in S at that point J will be a f- primary ideal and Jn is f-primary ideal for some n it is explained that if S is quasi-commutative then an ideal U of S is left f - primary iff right f -primary.

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15

Sun, Wei, Ru-Long Xie, and Liang-Yu Xu. "Oscillatory hyper-Hilbert transform on Wiener amalgam spaces." Open Mathematics 19, no. 1 (January 1, 2021): 1579–87. http://dx.doi.org/10.1515/math-2021-0106.

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Abstract We study the boundedness of the oscillatory integral T α , β f ( x , y ) = ∫ Q 2 f ( x − γ 1 ( t ) , y − γ 2 ( s ) ) e − 2 π i t − β 1 s − β 2 t − α 1 − 1 s − α 2 − 1 d t d s {T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t}^{-{\beta }_{1}}{s}^{-{\beta }_{2}}}{t}^{{-\alpha }_{1}-1}{s}^{-{\alpha }_{2}-1}{\rm{d}}t{\rm{d}}s on Wiener amalgam spaces, where Q 2 = [ 0 , 1 ] × [ 0 , 1 ] {Q}^{2}=\left[0,1]\times \left[0,1] is the unit square in two dimensions, ( x , y ) ∈ R n × R m , γ 1 ( t ) = ( t p 1 , t p 2 , … , t p n ) , γ 2 ( s ) = ( s q 1 , s q 2 , … , s q m ) \left(x,y)\in {{\mathbb{R}}}^{n}\times {{\mathbb{R}}}^{m},{\gamma }_{1}\left(t)=\left({t}^{{p}_{1}},{t}^{{p}_{2}},\ldots ,{t}^{{p}_{n}}),{\gamma }_{2}\left(s)=\left({s}^{{q}_{1}},{s}^{{q}_{2}},\ldots ,{s}^{{q}_{m}}) are homogeneous curves on R n {{\mathbb{R}}}^{n} and R m {{\mathbb{R}}}^{m} .

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Le Merdy, Christian, and Anna Skripka. "HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS." Journal of the Institute of Mathematics of Jussieu 19, no. 6 (February 13, 2019): 1993–2016. http://dx.doi.org/10.1017/s1474748019000033.

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We establish the following results on higher order ${\mathcal{S}}^{p}$-differentiability, $1<p<\infty$, of the operator function arising from a continuous scalar function $f$ and self-adjoint operators defined on a fixed separable Hilbert space:(i)$f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable at every bounded self-adjoint operator if and only if $f\in C^{n}(\mathbb{R})$;(ii)if $f^{\prime },\ldots ,f^{(n-1)}\in C_{b}(\mathbb{R})$ and $f^{(n)}\in C_{0}(\mathbb{R})$, then $f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable at every self-adjoint operator;(iii)if $f^{\prime },\ldots ,f^{(n)}\in C_{b}(\mathbb{R})$, then $f$ is $n-1$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable and $n$ times Gâteaux ${\mathcal{S}}^{p}$-differentiable at every self-adjoint operator.We also prove that if $f\in B_{\infty 1}^{n}(\mathbb{R})\cap B_{\infty 1}^{1}(\mathbb{R})$, then $f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{q}$-differentiable, $1\leqslant q<\infty$, at every self-adjoint operator. These results generalize and extend analogous results of Kissin et al. (Proc. Lond. Math. Soc. (3)108(3) (2014), 327–349) to arbitrary $n$ and unbounded operators as well as substantially extend the results of Azamov et al. (Canad. J. Math.61(2) (2009), 241–263); Coine et al. (J. Funct. Anal.; doi:10.1016/j.jfa.2018.09.005); Peller (J. Funct. Anal.233(2) (2006), 515–544) on higher order ${\mathcal{S}}^{p}$-differentiability of $f$ in a certain Wiener class, Gâteaux ${\mathcal{S}}^{2}$-differentiability of $f\in C^{n}(\mathbb{R})$ with $f^{\prime },\ldots ,f^{(n)}\in C_{b}(\mathbb{R})$, and Gâteaux ${\mathcal{S}}^{q}$-differentiability of $f$ in the intersection of the Besov classes $B_{\infty 1}^{n}(\mathbb{R})\cap B_{\infty 1}^{1}(\mathbb{R})$. As an application, we extend ${\mathcal{S}}^{p}$-estimates for operator Taylor remainders to a broad set of symbols. Finally, we establish explicit formulas for Fréchet differentials and Gâteaux derivatives.

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17

Yamashita, Shinji. "Blaschke-type maps and harmonic majoration on Riemann surfaces." Bulletin of the Australian Mathematical Society 32, no. 2 (October 1985): 195–205. http://dx.doi.org/10.1017/s0004972700009898.

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An analytic map h of type Bl from a Riemann surface R into another S, both having Greens functions, behaves well near the “boundaryr” of R. Let X stand for a family of holomorphic functions, and let f be holomorphic on S. We shall show, for several X′s, the following:(i) f ∈ X(S) ⇔ foh ⇔ X(R);‖foh‖ = ‖f‖.Use is made of harmonic majoration of subharmonic functions on R and on S.

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18

Et, Mikail, Yavuz Altin, and Hifsi Altinok. "On some generalized difference sequences with respect to a modulus function." Filomat, no. 17 (2003): 23–33. http://dx.doi.org/10.2298/fil0317023e.

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The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.

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19

Song, Hua Lin, and Takeji Abe. "Quantitative Description of Microscopic Plastic Deformation of Polycrystalline Aluminum Using Laser-Scanning Microscope." Key Engineering Materials 340-341 (June 2007): 803–10. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.803.

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The mi c ros copi c pl as t i c de format ion behavior of pol yc r ys t al l ine aluminum shee t dur ing uni axi al t ens ion i s exper iment al l y inves t iga t ed b y a confoc al l a s e r - s canning mi c ros cope. The gr ain rot at ion i s me asur ed f rom images of spec imen sur fa c e be fore and a f t e r deformat ion i s propos ed. Digi t al image proc es s ing t e chnique i s appl i ed to the sur f a c e gr ain image t aken by the CCD c ame ra . The exper iment al dat a obt ained f rom man y gr a ins a re s t a t i c al l y proce s s ed. I t i s shown that the gr ain rot at ion i s l a rge when the shape of gr ain i s clos e to a ci r cl e. Di s cus s ions a r e made on the r el at ion be twe en gra in rot at ion, s t ra ins of gr ains and va r ious f a ctor s af f e ct ing them, such as gr ain s i z e, gra in shape and s l ip- l ine angl e.

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20

Moreno-Frías, María Ángeles, and José Carlos Rosales. "Ratio-Covarieties of Numerical Semigroups." Axioms 13, no. 3 (March 14, 2024): 193. http://dx.doi.org/10.3390/axioms13030193.

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In this work, we will introduce the concept of ratio-covariety, as a family R of numerical semigroups that has a minimum, denoted by min(R), is closed under intersection, and if S∈R and S≠min(R), then S\{r(S)}∈R, where r(S) denotes the ratio of S. The notion of ratio-covariety will allow us to: (1) describe an algorithmic procedure to compute R; (2) prove the existence of the smallest element of R that contains a set of positive integers; and (3) talk about the smallest ratio-covariety that contains a finite set of numerical semigroups. In addition, in this paper we will apply the previous results to the study of the ratio-covariety R(F,m)={S∣S is a numerical semigroup with Frobenius number F and multiplicitym}.

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21

Sjöberg, Katarina. "Variationsrikedomen stor i hawaiiansk samlevnad." Tidskrift för genusvetenskap 16, no. 4 (June 20, 2022): 56–65. http://dx.doi.org/10.55870/tgv.v16i4.4783.

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This a r t i d e deals with male a n d f e m a l e sex and g e n d e r roles in a native Hawaiian c o n t e x t , f o c u s i n g p a r t i c u l a r l y o n lesbians. T h e a r t i c l e ' s p o i n t of dep a r t u r e is t h a t it is t h e individual w h o d e c i d e s the n o r m s and rules for h i s / h e r sexual and social b e h a v i o u r , implying an inequadecy with models where t h e focus is o n d i f f e r e n t "cultural" a n d "societal" f o r m s f o r m o d e l l i n g such behaviour. O n e imp o r t a n t aspect, o f t e n n e g l e c t e d in studies d e a l i n g with such questions, c o n n e c t s to the way p e o p l e actually feel a n d how this is p r a c t i s e d on a lifebasis. Focusing o n varieties in sex a n d g e n d e r role m o d e l l i n g , s e p a r a t i n g social roles a n d sexual identities, a n d allowing p e o p l e to a p p e a r in t h e c o n t e x t that they live in, makes it possible to e x p l o r e t h e i r ideas c o n c e r n i n g sexual i d e n t i t i e s a n d social roles. I n addition, this perspective also allows f o r an u n d e r s t a n d i n g of t h e c o n n e c t i o n p e o p l e make between sexual a n d social b e h a v i o u r m o r e generally. Against this b a c k g r o u n d , the a r t i d e discusses q u e s t i o n s c o n c e r n i n g the p r e s e n t use of t h e concept of h o m o s e x u a l i t y a m o n g i n t e l l e c t u a l s a n d scientists. T h e material f r om the Big Island, Hawaii implies t h a t ideas a b o u t sexual i d e n t i t i e s a n d social r o l e s a r e r o o t e d in beliefs b u i l d i n g o n assumptions that p e o p l e who live t o g e t h e r / h a v e sex with one a n o t h e r , take o n d i f f e r e n t sexual i d e n t i t i e s a n d social roles, r e g a r d l e s s of biological sex. This way of p e r c e i v i n g sex a n d g e n d e r role m o d e l l i n g can be seen as r o o t e d in a t r a d i t i o n where t h e a c c e p t a n c e of sexual a n d social varieties is h i g h , giving p e o p l e o p p o r t u n i t i e s to act a n d p e r f o rm a c c o r d i n g to feelings as an a c c e p t e d alternative to t h e n o r m s and vallies s t i p u l a t e d by t h e society they live in.

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Khan, Adnan, M. Haris Mateen, Ali Akgül, and Md Shajib Ali. "The K Extended Laguerre Polynomials Involving A α r , n , k x F r r , r > 2." Advances in Mathematical Physics 2022 (September 5, 2022): 1–10. http://dx.doi.org/10.1155/2022/6815685.

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In this manuscript, we present the generalized hypergeometric function of the type F r r , r > 2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials A r , n , k α x . Additionally, we describe the K generating function, K recurrence relations, and K S Rodrigues formula.

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23

Bişgin, Mustafa Cemil. "Almost convergent sequence spaces derived by the domain of quadruple band matrix." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19, no. 1 (December 1, 2020): 155–70. http://dx.doi.org/10.2478/aupcsm-2020-0012.

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AbstractIn this work, we construct the sequence spaces f(Q(r, s, t, u)), f0(Q(r, s, t, u)) and fs(Q(r, s, t, u)), where Q(r, s, t, u) is quadruple band matrix which generalizes the matrices Δ3, B(r, s, t), Δ2, B(r, s) and Δ, where Δ3, B(r, s, t), Δ2, B(r, s) and Δ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Moreover, we give the Schauder basis and β, γ-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.

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Beasley, LeRoy. "(0,1)-matrices and Discrepancy." Electronic Journal of Linear Algebra 37 (November 18, 2021): 692–97. http://dx.doi.org/10.13001/ela.2021.5033.

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Let $m$ and $n$ be positive integers, and let $R =(r_1, \ldots, r_m)$ and $S =(s_1,\ldots, s_n)$ be nonnegative integral vectors. Let $A(R,S)$ be the set of all $m \times n$ $(0,1)$-matrices with row sum vector $R$ and column vector $S$. Let $R$ and $S$ be nonincreasing, and let $F(R)$ be the $m \times n$ $(0,1)$-matrix where for each $i$, the $i^{th}$ row of $F(R,S)$ consists of $r_i$ 1's followed by $n-r_i$ 0's. Let $A\in A(R,S)$. The discrepancy of A, $disc(A)$, is the number of positions in which $F(R)$ has a 1 and $A$ has a 0. In this paper, we investigate the possible discrepancy of $A^t$ versus the discrepancy of $A$. We show that if the discrepancy of $A$ is $\ell$, then the discrepancy of the transpose of $A$ is at least $\frac{\ell}{2}$ and at most $2\ell$. These bounds are tight.

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McCool, James. "On a question of Remeslennikov." Glasgow Mathematical Journal 43, no. 1 (January 2001): 123–24. http://dx.doi.org/10.1017/s0017089501010102.

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ND, Matojo. "A Comprehensive Key for Identification of the “Swarming Conehead” Ruspolia Differens Serville, 1838 (Orthoptera: Tettigoniidae) Occurring in the Afro - Tropical Region." International Journal of Zoology and Animal Biology 3, no. 1 (2020): 1–4. http://dx.doi.org/10.23880/izab-16000200.

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This work reviewed t h e behavioural, morphological and molecular characteristics of the lo n g - h o rned g r a ss h opp e r R u s po l i a d i f f e r e n s S e r v i l le or “ s en en e ” i n S wa h i li name ( O r t h op t e ra T e t t i g o n ii da e ), as apparent in literature. On that basis, the work has generated a comprehensive key for identification of this species. As widely known, this insect native to Afro - tropical region where it is widely edible and it ha s a characteristic s w a rm i n g behaviour that strikingly occurs during rainy season. Also, it has c o l ou r polymorphism with a total of six key sympatric colour forms, sex d i m o r p hi sm with m al e s possessing longer antennae and a u n i q u e pair o f active tongue - like m e t a t h o r a c i c f l a p s whereas the females have a corresponding pair of vestigial metathoracic nodules. Furthermore, t he species has a pair of distinct subequal black markings on the mid and hind tibia near the knee joint and a white inter - ocular oval mark that appears like a s imple eye. Its sister species which is Ruspolia nitidula S c o p o l i as verified by molecular phylogenetics i s e xc l u s i v e l y s ol i t a r y , mostly g r e en i sh an d P a l ea rc t i c r an g i n g i n A s i a , E u r op e a n d N o r t h e r n A f r i c a. Since swarming behaviour is a foremost diagnostic feature differentiating R. differens from other coneheads, it is worthwhile to demarcate the species with a common name “Swarming Conehead” adding to the existed names.

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Yamaoka, Luís Cláudio. "Caracterização das raízes do polinômio do terceiro grau e alguns resultados." Cadernos do IME - Série Matemática, no. 17 (December 17, 2021): 50–71. http://dx.doi.org/10.12957/cadmat.2021.60985.

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Neste artigo apresentamos um procedimento para caracterizar as raízes do polinômio do 3º grau $f \in \R[x]$ recorrendo a fatos do Cálculo. Ademais, impondo condições aos coeficientes de $f \in \R[x]$, estabelecemos uma comparação entre a parte real de suas raízes complexas não reais conjugadas e o(s) ponto(s) crítico(s) de $\mathbf{f}: \R \rightarrow \R$.

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Lagercrantz, Marika V. "Anna Hofmann - En sedesam förförerska på varietéscenen." Tidskrift för genusvetenskap 18, no. 2 (June 17, 2022): 26–38. http://dx.doi.org/10.55870/tgv.v18i2.4609.

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In an analysis of the d i f f e r e n t p e r f o r m a n c e s by Anna Hofman during the f890's Lagercrantz discusses how m o d e r n social distinctions were enacted through an intricate interplay between male gaze and female power. T h e subculture of the vaudeville created space for female e n t r e p r e n e u r s , where a skilful actress like H o f m a n could make use of male desire without getting caught in patriarchal hierarchy.

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Marongiu, Sophia. ""Det blir ett totalt utanförskap" - könsperpektiv på kvinnors karriärutveckling." Tidskrift för genusvetenskap 17, no. 2 (June 20, 2022): 41–50. http://dx.doi.org/10.55870/tgv.v17i2.4735.

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T h e p u r p o s e of t h e p r o j e c t in this p a p e r is t o study w o m e n ' s c a r e e r d e v e l o p m e n t in o r d e r to e l u c i d a t e obstacles as well as a d v a n t a g e s f r o m a g e n d e r perspective. "Women in m a n a g e n t " s t u d i e s have so f a r mostly c o n c e n t r a t e d o n w o m e n already in a leadi n g p o s i t i o n . T h e p r o b l em is, however, that these women have very little t o say a b o u t why t h e numb e r of w o m e n in l e a d i n g p o s i t i o n is so small. For this reason I have concentrated on following the c a r e e r d e v e l o p m e n t of a g r o u p of w o m e n working o n lower levels of a big, d e c e n t r a l i s e d g o v e r m e n t a l o r g a n i s a t i o n . Some of t h e women have clear c a r e e r a m b i t i o n s ; they want to be p r o m o t e d and gain l e a d i n g positions, o t h e r s have not s t a t e d any personal i n t e r e s t in p u r s u i n g a career. T h e study conc e n t r a t e s on i n t e r a c t i o n a n d intrapsychological as well as s t r u c t u r a l m o d e l s of analysis a r e used. My h y p o t h e s i s is t h a t t h e c u l t u r a l r e p r e s e n t a t i o n s of f e m i n i n i t y a n d those of l e a d e r s h i p are diverg e n t , a fact w h i c h compels w o m e n to use specific s t r a t e g i e s in o r d e r to r e c o n c i l e g e n d e r identity with that of a leader. Since this article is a work-in-progess-report the r e u l t s I p r e s e n t a r e only p r e l i m i n a r y . It is possible, however, t o i d e n u f y at least two significant strategies. O n e c o u l d b e c a l l e d a g e n d e r - n e u t r a l strategy, wher e t h e s i g n i f i c a n c e of g e n d e r in l e a d e r s h i p is d e n i - e d a l t o g e t h e r . T h e o t h e r strategy is to emphasis e specific f e m a l e q u a l i t i e s as a tool to b e u s e d in ord e r t o c h a n g e t h e p r e v a i l i n g m a l e n o r m c o n n e c t e d with l e a d e r s h i p . T h e q u e s t i o n is w h e t h e r t h e organ i s a t i o n is p r e p a r e d to invest in t h o s e w o m e n who see themselves as p o t e n t i a l t r a n s f o r m e r s of tradit i o n a l male values. In a follow-up study I am g o i n g t o s c r u t i n i s e t h e s e l e c t i o n process in t h e oraganisat i o n in o r d e r to see which w o m e n are c h o s e n for l e a d i n g p o s i t i o n s in t h e f u t u r e .

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Lin, Daming, and Ming J. Zuo. "RELIABILITY EVALUATION OF A LINEAR k-WITHIN-(r,s)-OUT-OF-(m,n):F LATTICE SYSTEM." Probability in the Engineering and Informational Sciences 14, no. 4 (October 2000): 435–43. http://dx.doi.org/10.1017/s0269964800144031.

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The linear k-within-(r, s)-out-of-(m, n):F lattice system consists of mn components arranged in m rows and n columns and fails whenever there is at least one rectangle of dimension r × s which contains k or more failed components. We propose recursive formulas for the calculation of the linear k-within-(r, s)-out-of-(m, n):F lattice system. The computing complexity of the system reliability using the recursive formulas is O((n − s)ms+1 + m2s) for r = m and O((r + 1)rs(m−r+1)[(n − s)m + 2r(s−1)ms]) for r < m.

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Johnson, W. "Early bridge consultants, Benjamin Robins, F. R. S. and Charles Hutton, F. R. S. and mis-judged bridge designer, Thomas Paine." International Journal of Mechanical Sciences 41, no. 6 (June 1999): 741–48. http://dx.doi.org/10.1016/s0020-7403(98)00026-5.

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32

Smith, Cory, Terry Housh, Ethan Hill, Joshua Keller, Glen Johnson, and Richard Schmidt. "Effects of Fatigue on Voluntary Electromechanical and Relaxation Electromechanical Delay." International Journal of Sports Medicine 38, no. 10 (August 7, 2017): 763–69. http://dx.doi.org/10.1055/s-0043-115734.

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AbstractThe purposes of the present study were to examine: 1) the effects of fatigue on electromechanical delay from the onsets of the electromyographic signal to force production (EMDE-F), the onsets of the electromyographic to mechanomyographic signals (EMDE-M), the onsets of the mechanomyographic signal to force production (EMDM-F), as well as the cessations of the electromyographic to force production (R-EMDE-F), cessation of the electromyographic to mechanomyographic signals (R-EMDE-M), and cessations of the mechanomyographic signal to force production (R-EMDM-F); and 2) the relative contributions from EMDE-M and EMDM-F to EMDE-F as well as R-EMDE-M and R-EMDM-F to R-EMDE-F from the vastus lateralis in non-fatigued and fatigued states. The values EMDE-F, EMDE-M, EMDM-F, R-EMDE-F, R-EMDE-M and R-EMDM-F were calculated during maximal voluntary isometric contractions, before and after 70% 1-repetition maximum leg extensions to failure. There were significant pretest to posttest increases in EMDE-F (73%;p<0.01), EMDE-M (99%;p<0.01), EMDM-F (60%;p<0.01), R-EMDE-F (101%;p<0.01) and R-EMDM-F (368%;p<0.01), but no significant change in R-EMDE-M (25%;p=0.46). Fatigue-induced increase in EMDE-F indicated excitation-contraction coupling failure (EMDE-M) and increases in the compliance of the series elastic component (EMDM-F). Increases in R-EMDE-F were due to increases in relaxation time for the series elastic component (R-EMDM-F), but not changes in the reversal of excitation-contraction coupling (R-EMDE-M).

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33

de Sá-Martins, R., A. Cleiton-José, JM Rocha-Faria, and LA de Melo. "E F F E C T O F WAT E R A N D S A LT S T R E S S O N S E E D S GERMINATION AND VIGOR OF DIFFERENT EUCALYPTUS SPECIES." JOURNAL OF TROPICAL FOREST SCIENCE 31, no. 1 (February 1, 2019): 12–18. http://dx.doi.org/10.26525/jtfs2019.31.1.012018.

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34

Zhu, Yuting, Chunfang Chen, Jianhua Chen, and Chenggui Yuan. "Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation." Open Mathematics 19, no. 1 (January 1, 2021): 297–305. http://dx.doi.org/10.1515/math-2021-0014.

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Abstract In this paper, we study the following generalized Kadomtsev-Petviashvili equation u t + u x x x + ( h ( u ) ) x = D x − 1 Δ y u , {u}_{t}+{u}_{xxx}+{\left(h\left(u))}_{x}={D}_{x}^{-1}{\Delta }_{y}u, where ( t , x , y ) ∈ R + × R × R N − 1 \left(t,x,y)\in {{\mathbb{R}}}^{+}\times {\mathbb{R}}\times {{\mathbb{R}}}^{N-1} , N ≥ 2 N\ge 2 , D x − 1 f ( x , y ) = ∫ − ∞ x f ( s , y ) d s {D}_{x}^{-1}f\left(x,y)={\int }_{-\infty }^{x}f\left(s,y){\rm{d}}s , f t = ∂ f ∂ t {f}_{t}=\frac{\partial f}{\partial t} , f x = ∂ f ∂ x {f}_{x}=\frac{\partial f}{\partial x} and Δ y = ∑ i = 1 N − 1 ∂ 2 ∂ y i 2 {\Delta }_{y}={\sum }_{i=1}^{N-1}\frac{{\partial }^{2}}{{\partial }_{{y}_{i}}^{2}} . We get the existence of infinitely many nontrivial solutions under certain assumptions in bounded domain without Ambrosetti-Rabinowitz condition. Moreover, by using the method developed by Jeanjean [13], we establish the existence of ground state solutions in R N {{\mathbb{R}}}^{N} .

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35

Xiao, Yingying, and Chuanxi Zhu. "New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory." Electronic Journal of Qualitative Theory of Differential Equations, no. 73 (2021): 1–17. http://dx.doi.org/10.14232/ejqtde.2021.1.73.

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In this paper, we study the following quasilinear Schrödinger equation − Δ u + V ( x ) u − κ u Δ ( u 2 ) + μ h 2 ( | x | ) | x | 2 ( 1 + κ u 2 ) u + μ ( ∫ | x | + ∞ h ( s ) s ( 2 + κ u 2 ( s ) ) u 2 ( s ) d s ) u = f ( u ) in R 2 , κ > 0 V ∈ C 1 ( R 2 , R ) and f ∈ C ( R , R ) By using a constraint minimization of Pohožaev–Nehari type and analytic techniques, we obtain the existence of ground state solutions.

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36

Xiao, Yingying, and Chuanxi Zhu. "New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory." Electronic Journal of Qualitative Theory of Differential Equations, no. 73 (2021): 1–17. http://dx.doi.org/10.14232/ejqtde.2021.1.73.

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In this paper, we study the following quasilinear Schrödinger equation − Δ u + V ( x ) u − κ u Δ ( u 2 ) + μ h 2 ( | x | ) | x | 2 ( 1 + κ u 2 ) u + μ ( ∫ | x | + ∞ h ( s ) s ( 2 + κ u 2 ( s ) ) u 2 ( s ) d s ) u = f ( u ) in R 2 , κ > 0 V ∈ C 1 ( R 2 , R ) and f ∈ C ( R , R ) By using a constraint minimization of Pohožaev–Nehari type and analytic techniques, we obtain the existence of ground state solutions.

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Chadjiconstantinidis, S., D. L. Antzoulakos, and M. V. Koutras. "Joint distributions of successes, failures and patterns in enumeration problems." Advances in Applied Probability 32, no. 03 (September 2000): 866–84. http://dx.doi.org/10.1017/s0001867800010296.

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Let ε be a (single or composite) pattern defined over a sequence of Bernoulli trials. This article presents a unified approach for the study of the joint distribution of the number S n of successes (and F n of failures) and the number X n of occurrences of ε in a fixed number of trials as well as the joint distribution of the waiting time T r till the rth occurrence of the pattern and the number S T r of successes (and F T r of failures) observed at that time. General formulae are developed for the joint probability mass functions and generating functions of (X n ,S n ), (T r ,S T r ) (and (X n ,S n ,F n ),(T r ,S T r ,F T r )) when X n belongs to the family of Markov chain imbeddable variables of binomial type. Specializing to certain success runs, scans and pattern problems several well-known results are delivered as special cases of the general theory along with some new results that have not appeared in the statistical literature before.

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Faisol, Ahmad, and Fitriani Fitriani. "Homomorfisa Modul Deret Pangkat Tergeneralisasi Miring." Jurnal Matematika Integratif 17, no. 2 (January 23, 2022): 119. http://dx.doi.org/10.24198/jmi.v17.n2.34646.119-126.

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Diberikan sebarang ring komutatif $R$ dengan elemen satuan, monoid terurut tegas $(S,\leq)$, homomorfisma monoid $\omega:S\rightarrow End(R)$, submonoid $S_1,S_2\subseteq S$ yang masing-masing dilengkapi urutan $\leq_1, \leq_2$ yang \textit{coarser} terhadap urutan $\leq$ pada $S$, dan modul $M_1,M_2$ atas $R$. Pada penelitian ini, dikonstruksi modul deret pangkat tergeneralisasi miring $M_1[[S_1,\leq_1,\omega]]$ dan $M_2[[S_2,\leq_2,\omega]]$ atas ring deret pangkat tergeneralisasi miring $R[[S,\leq,\omega]]$. Selain itu, dibuktikan pemetaan $\tau$ dari $M_1[[S_1,\leq_1,\omega]]$ ke $M_2[[S_2,\leq_2,\omega]]$ dengan $\tau(\alpha_1)=\gamma\circ\alpha_1\circ\delta^{-1}$ merupakan $R[[S,\leq,\omega]]$-homomorfisma modul dengan mensyaratkan $f(\delta^{-1}(u))=f(u)$ dan $\omega_{\delta^{-1}(v)}=\omega_{v}$ untuk setiap $u,v\in S_2$ dan $f\in R[[S,\leq,\omega]]$.

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39

Glock, Stefan, Felix Joos, Jaehoon Kim, Marcus Kühn, Lyuben Lichev, and Oleg Pikhurko. "On the (6,4)-problem of Brown, Erdős, and Sós." Proceedings of the American Mathematical Society, Series B 11, no. 17 (June 4, 2024): 173–86. http://dx.doi.org/10.1090/bproc/170.

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Let f ( r ) ( n ; s , k ) f^{(r)}(n;s,k) be the maximum number of edges of an r r -uniform hypergraph on n n vertices not containing a subgraph with k k edges and at most s s vertices. In 1973, Brown, Erdős, and Sós conjectured that the limit lim n → ∞ n − 2 f ( 3 ) ( n ; k + 2 , k ) \begin{equation*} \lim _{n\to \infty } n^{-2} f^{(3)}(n;k+2,k) \end{equation*} exists for all k k and confirmed it for k = 2 k=2 . Recently, Glock showed this for k = 3 k=3 . We settle the next open case, k = 4 k=4 , by showing that f ( 3 ) ( n ; 6 , 4 ) = ( 7 36 + o ( 1 ) ) n 2 f^{(3)}(n;6,4)=\left (\frac {7}{36}+o(1)\right )n^2 as n → ∞ n\to \infty . More generally, for all k ∈ { 3 , 4 } k\in \{3,4\} , r ≥ 3 r\ge 3 and t ∈ [ 2 , r − 1 ] t\in [2,r-1] , we compute the value of the limit lim n → ∞ n − t f ( r ) ( n ; k ( r − t ) + t , k ) \lim _{n\to \infty } n^{-t}f^{(r)}(n;k(r-t)+t,k) , which settles a problem of Shangguan and Tamo.

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Wu, Guoqiang. "Splitting theorem for Ricci soliton." Proceedings of the American Mathematical Society 149, no. 8 (May 18, 2021): 3575–81. http://dx.doi.org/10.1090/proc/15466.

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Let ( M , g , f ) (M, g, f) be a gradient Ricci soliton ∇ 2 f + R i c = λ g \nabla ^2 f+Ric=\lambda g with λ ∈ { 1 2 , 0 , − 1 2 } \lambda \in \{\frac {1}{2}, 0, -\frac {1}{2}\} . Suppose there is a geodesic line γ : ( − ∞ , ∞ ) → M \gamma : (-\infty , \infty )\rightarrow M satisfying lim inf t → ∞ ∫ 0 t R i c ( γ ′ ( s ) , γ ′ ( s ) ) d s + lim inf t → − ∞ ∫ t 0 R i c ( γ ′ ( s ) , γ ′ ( s ) ) d s ≥ 0 , \begin{eqnarray*} \liminf _{t\rightarrow \infty }\int _0^{t}Ric(\gamma ’(s), \gamma ’(s))ds +\liminf _{t\rightarrow -\infty }\int _{t}^{0}Ric(\gamma ’(s), \gamma ’(s))ds \geq 0, \end{eqnarray*} then ( M , g , f ) (M, g, f) splits off a line isometrically.

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HESSE, KERSTIN, and Q. T. LE GIA. "LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE." Bulletin of the Australian Mathematical Society 77, no. 2 (April 2008): 197–224. http://dx.doi.org/10.1017/s0004972708000087.

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AbstractIn this paper we derive local error estimates for radial basis function interpolation on the unit sphere $\mathbb {S}^2\subset \mathbb {R}^3$. More precisely, we consider radial basis function interpolation based on data on a (global or local) point set $X\subset \mathbb {S}^2$ for functions in the Sobolev space $H^s(\mathbb {S}^2)$ with norm $\|\cdot \|_s$, where s>1. The zonal positive definite continuous kernel ϕ, which defines the radial basis function, is chosen such that its native space can be identified with $H^s(\mathbb {S}^2)$. Under these assumptions we derive a local estimate for the uniform error on a spherical cap S(z;r): the radial basis function interpolant ΛXf of $f\in H^s(\mathbb {S}^2)$ satisfies $\sup _{\mathbf {x}\in S(\mathbf {z};r)} |f(\mathbf {x})-\Lambda _X f(\mathbf {x})| \leq c h^{(s-1)/2} \|f\|_{s}$, where h=hX,S(z;r) is the local mesh norm of the point set X with respect to the spherical cap S(z;r). Our proof is intrinsic to the sphere, and makes use of the Videnskii inequality. A numerical test illustrates the theoretical result.

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Naji, Amgad Rashed, and Ahmad Houssin Halbbub. "Variations on uncertainty principle inequalities for Weinstein operator." University of Aden Journal of Natural and Applied Sciences 23, no. 2 (October 31, 2019): 479–87. http://dx.doi.org/10.47372/uajnas.2019.n2.a18.

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The aim of this paper is to prove new variations of uncertainty principles for Weinstein operator. The first of these results is variation of Heisenberg-type in equality for Weinstein transform that is for s>0. Then, there exists a constant C(α,s), such that for all f∈L\(_{α}^{1}\) (R\(_{+}^{d}\) )∩L\(_{α}^{2}\) (R\(_{+}^{d}\))\(‖|x|^{2s} f‖_{L_{α}^{1} (R_{+}^{d})} ‖|ξ|^{s} F_{W} (f)‖_{L_{α}^{2} (R_{+}^d)}^{2}≥C(α,s)‖f‖_{L_{α}^{1} (R_{+}^{d})} ‖f‖_{L_{α}^{2} (R_{+}^{d})}^{2}.\)The second result is variation of Donoho-Strak's uncertainty principle for Weinstein transform, Let S,Σ⊂R\(_{+}^{d}\) and f∈L\(_{α}^{1}\) (R\(_{+}^{d}\))∩L\(_{α}^{2}\) (R\(_{+}^{d}\)). If f is (ε\(_{1}\),α)-timelimited on T and (ε\(_{2}\),α)-bandlimited on Σ, then μ\(_{α}\) (S) μ\(_{α}\) (Σ)≥(1-ε\(_{1}\))\(^{2}\) (1-ε\(_{2}^{2}\)). The third result is variation of the local uncertainty for Weinstein and Weinstein-Gabor transform.

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Ferahtia, N., and S. E. Allaoui. "A generalization of a localization property of Besov spaces." Carpathian Mathematical Publications 10, no. 1 (July 3, 2018): 71–78. http://dx.doi.org/10.15330/cmp.10.1.71-78.

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The notion of a localization property of Besov spaces is introduced by G. Bourdaud, where he has provided that the Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$, with $s\in\mathbb{R}$ and $p,q\in[1,+\infty]$ such that $p\neq q$, are not localizable in the $\ell^{p}$ norm. Further, he has provided that the Besov spaces $B^{s}_{p,q}$ are embedded into localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ (i.e., $B^{s}_{p,q}\hookrightarrow(B^{s}_{p,q})_{\ell^{p}},$ for $p\geq q$). Also, he has provided that the localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ are embedded into the Besov spaces $B^{s}_{p,q}$ (i.e., $(B^{s}_{p,q})_{\ell^{p}}\hookrightarrow B^{s}_{p,q},$ for $p\leq q$). In particular, $B_{p,p}^{s}$ is localizable in the $\ell^{p}$ norm, where $\ell^{p}$ is the space of sequences $(a_{k})_{k}$ such that $\|(a_{k})\|_{\ell^{p}}<\infty$. In this paper, we generalize the Bourdaud theorem of a localization property of Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$ on the $\ell^{r}$ space, where $r\in[1,+\infty]$. More precisely, we show that any Besov space $B^{s}_{p,q}$ is embedded into the localized Besov space $(B^{s}_{p,q})_{\ell^{r}}$ (i.e., $B^{s}_{p,q}\hookrightarrow(B^{s}_{p,q})_{\ell^{r}},$ for $r\geq\max(p,q)$). Also we show that any localized Besov space $(B^{s}_{p,q})_{\ell^{r}}$ is embedded into the Besov space $B^{s}_{p,q}$ (i.e., $(B^{s}_{p,q})_{\ell^{r}}\hookrightarrow B^{s}_{p,q},$ for $r\leq\min(p,q)$). Finally, we show that the Lizorkin-Triebel spaces $F^{s}_{p,q}(\mathbb{R}^{n})$, where $s\in\mathbb{R}$ and $p\in[1,+\infty)$ and $q\in[1,+\infty]$ are localizable in the $\ell^{p}$ norm (i.e., $F^{s}_{p,q}=(F^{s}_{p,q})_{\ell^{p}}$).

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44

Sheng, T. K. "The distance between two random points in plane regions." Advances in Applied Probability 17, no. 4 (December 1985): 748–73. http://dx.doi.org/10.2307/1427086.

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Let T be a triangle. P be a parallelogram, E be an ellipse, A, B be concentric circles, C, D be concentric dartboard regions, R, S be rectangles of the same orientation, U, V be two finite unions and/or differences of convex regions in the Euclidean plane. Given a function f on [0,∞), let E[/(r), U, V] denote the mean value of f(|u–v|), where |u–v| is the distance between u∊U and v∊V. Using Borel’s overlap technique, a specific distance weight function and a specific equivalence relation, we obtain formulae expressing E[f(r), U, V] in terms of triple integrals, expressing E(rn, U, V), E[f(r), A, V] and E[f(r), R, V] in terms of double integrals, expressing E[f(r), A, B], E[f(r), R, S], E[f(r), T, T], E[f(r), P, P], E(rn, C, D) and E(rn, R, V) in terms of single integrals, and expressing E(rn, R, S), E(rn, P, P), E(rn, T, T), E(rn, E, E) in terms of elementary functions, where n is an integer ≧−1. Many other related results are also given.

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45

Almlöv, Cecilia, and Maria Ohlsson. "Hur skämtar vi? Om barns och vuxnas skämt i ett könsperpektiv." Tidskrift för genusvetenskap 17, no. 2 (June 20, 2022): 24–40. http://dx.doi.org/10.55870/tgv.v17i2.4732.

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This article emphasizes the n e e d for r e s e a r c h into how the concept of g e n d e r shapes our usage of language. One way of illucidating gender-relatecl language usage is studying how women and men use j o k e s a n d h u m o u r o u s remarks in d i f f e r e n t contexts a n d also focusing on what types of j o k e s are c o n s i d e r e d a p p r o p r i a t e for m e n and women. Jokes might seem as a trivial subject f o r a linguist. In our opinion, however, h a n t e r i n g a n d h u m o u r o u s responses consitute in integral part of h u m a n spöken i n t e r a c t i o n . In private conversations g r o u p s of women are shown to joke and communicate freely. Despite the fact that the female g e n d e r role is limiting it can also provide women with a f r e e d o m a n d flexibility of language not f o u n d elsewhere. We have r e a c h e d the conclusion that women censure their language and their behaviour depend i n g on the situation and the company. Furthermore we have b e e n able to ascertain that m e n and boys use more jokes t h a n women in public conversations. Our g e n d e r roles socialize us i n t o expecti n g girls a n d boys to behave differently also in this respect. Men a n d boys a r e e x p e c t e d to use m o r e jokes. They a r e also allowed to j o k e in situtions were women cannot. Our school observations as well as our scrutiny of televised debates and talk shows c o n f i rm this. Women also refrain f r om joking d u r i n g j o b interviews a n d similar situations. This article is based on two s e p a r a t e studies. Despite dissimilarities in focus a n d collection of data b o t h studies p o i n t to similar results: — Men and boys use jokes more f r e q u e n t l y than girls a n d women — T h e r e is a g e n d e r - r e l a t e d d i f f e r e n c e as to the c o n t e n t s of t h e jokes. — G e n d e r roles restrict women, especially in public situations a n d prevent t h em f r om using humourous remarks or jokes for fear of not being c o n s i d e r e d serious.

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46

Almulhim, Ahlam, Abolape Deborah Akwu, and Bana Al Subaiei. "The Perfect Roman Domination Number of the Cartesian Product of Some Graphs." Journal of Mathematics 2022 (October 18, 2022): 1–6. http://dx.doi.org/10.1155/2022/1957027.

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A perfect Roman dominating function on a graph G is a function f : V G ⟶ 0,1,2 for which every vertex v with f v = 0 is adjacent to exactly one neighbor u with f u = 2 . The weight of f is the sum of the weights of the vertices. The perfect Roman domination number of a graph G , denoted by γ R p G , is the minimum weight of a perfect Roman dominating function on G . In this paper, we prove that if G is the Cartesian product of a path P r and a path P s , a path P r and a cycle C s , or a cycle C r and a cycle C s , where r , s > 5 , then γ R p G ≤ 2 / 3 G .

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47

KULKARNI, MADHURI G., and AKANKSHA S. KASHIKAR. "SIGNATURE AND RELIABILITY OF CONDITIONAL THREE-DIMENSIONAL CONSECUTIVE-(s, s, s)-OUT-OF-(s, s, m):F SYSTEM." International Journal of Reliability, Quality and Safety Engineering 21, no. 02 (April 2014): 1450009. http://dx.doi.org/10.1142/s0218539314500090.

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A three-dimensional consecutive (r1, r2, r3)-out-of-(m1, m2, m3):F system was introduced by Akiba et al. [J. Qual. Mainten. Eng.11(3) (2005) 254–266]. They computed upper and lower bounds on the reliability of this system. Habib et al. [Appl. Math. Model.34 (2010) 531–538] introduced a conditional type of two-dimensional consecutive-(r, s)-out-of-(m, n):F system, where the number of failed components in the system at the moment of system failure cannot be more than 2rs. We extend this concept to three dimension and introduce a conditional three-dimensional consecutive (s, s, s)-out-of-(s, s, m):F system. It is an arrangement of ms2 components like a cuboid and it fails if it contains either a cube of failed components of size (s, s, s) or 2s3 failed components. We derive an expression for the signature of this system and also obtain reliability of this system using system signature.

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48

Ould Chbih, Ahmed, Mohamed Ben Faraj Ben Maaouia, and Mamadou Sanghare. "Localization in the Category $COMP(G_{r}(A-Mod))$ of Complex associated to the Category $G_{r}(A-Mod)$ of Graded left $A-$modules over a Graded Ring." European Journal of Pure and Applied Mathematics 16, no. 3 (July 30, 2023): 1913–39. http://dx.doi.org/10.29020/nybg.ejpam.v16i3.4753.

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The main results of this paper are : \\If $A=\displaystyle{\bigoplus_{n\in\mathbb{Z}}}A_{n}$ is a graded duo-ring, $S_{H}$ is a partformed of regulars homogeneous elements of $A$, $\overline{S}_{H}$ is the homogeneous multiplicativelyclosed subset of $A$generated by $S_{H}$, then: \begin{enumerate}\item The relation $C_{H}(-) :G_{r}(\overline{S}_{H}^{-1}A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$\overline{S}_{H}^{-1}A-$module $\overline{S}_{H}^{-1}M$ of $G_{r}(\overline{S}_{H}^{-1}A-Mod)$we correspond the associate complex sequence $(\overline{S}_{H}^{-1}M)_{*}$ to a graded $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}M$ and for all graded morphism of graded left $\overline{S}_{H}^{-1}A-$modules$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$ of degree $k$we correspond the associated complex chain$(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$is an additively exact covariant functor.\item The relation $(C_{H}\circ\overline{S}_{H}^{-1})(-) :G_{r}(A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$A-$module $M$ of $G_{r}(A-Mod)$we correspond the associate complex sequence $(C_{H}\circ\overline{S}_{H}^{-1})(M)=(\overline{S}_{H}^{-1}M)_{*}$ to a graded $A-$module$M$ and for all graded morphism of graded left $A-$modules$f : M\longrightarrow N$ of degree $k$we correspond the associated complex chain$(C_{H}\circ\overline{S}_{H}^{-1})(f)=(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $A-$module$f : M\longrightarrow N$is an additively exact covariant functor. \item \noindent For all $n\in \mathbb{Z}$ fixed and for all $ M \in G_{r}(A-Mod)$ we have:$$\overline{S}^{-1}_{H}((H_{n}\circ C)(M))\cong H_{n}(C_{H}\circ \overline{S}^{-1}_{H})(M)).$$\end{enumerate}

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49

Candan, Murat. "Some Characteristics of Matrix Operators on Generalized Fibonacci Weighted Difference Sequence Space." Symmetry 14, no. 7 (June 21, 2022): 1283. http://dx.doi.org/10.3390/sym14071283.

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The forthcoming property of this manuscript is its calculating of the goal of norms and lower bounds of matrix operators taken from the weighted sequence space ℓp(w) onto a novel one defined in the present article as the generalized Fibonacci weighted difference sequence space. In this process, first of all the Fibonacci difference matrix F˜(r,s) and the space composed of sequences of which F˜(r,s)-transforms lie in ℓp(w˜), where r,s∈R are defined. Additionaly, since the seminormed space ℓp(w˜,F˜(r,s)) has the absolute homogeneous property, the topological characteristics on it are distributed symmetrically everywhere in the space.

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50

Galíndez-Jorge, Verónica, Bruna De Carvalho, and Eduardo Akio Shoji. "fronteirasdaescrita/fronteirasdoliterário/fronteirasdaliteratura f r o n t e i r a s." Revista Criação & Crítica 2, no. 11 (November 25, 2013): i. http://dx.doi.org/10.11606/issn.1984-1124.v2i11pi.

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