Academic literature on the topic 'Riwaka Complex (N Z )'

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Journal articles on the topic "Riwaka Complex (N Z )"

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Gill, John. "Complex dynamics of the limit periodic system Fn(z) = Fn−1(⨍n(z)), ⨍n → ⨍." Journal of Computational and Applied Mathematics 32, no. 1-2 (November 1990): 89–96. http://dx.doi.org/10.1016/0377-0427(90)90420-5.

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Čermák, Jan, Stanislav Šabata, Vratislav Blechta, and Bernard L. Shaw. "Nickel(0) and Palladium(0) Complexes with (Z,Z)-Ph2PCH2C(t-Bu)=N-N=C(t-Bu)CH2PPh2. Alkyne-to-Alkenyl Conversion in [Pd(MeOCOCCCOOMe){(Z,Z)-Ph2PCH2C(t-Bu)=N-N=C(t-Bu)CH2PPh2}]." Collection of Czechoslovak Chemical Communications 65, no. 1 (2000): 17–22. http://dx.doi.org/10.1135/cccc20000017.

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Novel zero-valent metal complexes [ML2{(Z,Z)-Ph2PCH2C(t-Bu)=N-N=C(t-Bu)CH2PPh2}] (M = Ni, L = CO, t-BuNC) with the azine diphosphine chelating in a nine-membered ring were prepared. The nickel dicarbonyl complex was found to be in an equilibrium with its isomer containing (E,Z)-chelated azine diphosphine, the equilibrium being on the side of the (Z,Z)-isomer below 60 °C. A similar palladium complex (M = Pd, L2 = CH3OCOC≡CCOOCH3) prepared earlier was found to undergo a rearrangement with simultaneous alkyne-to-alkenyl conversion of the acetylenedicarboxylate dimethyl ester ligand.
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AOUF, M. K. "COEFFICIENT ESTIMATES FOR BOUNDED STARLIKE FUNCTIONS OF COMPLEX ORDER." Tamkang Journal of Mathematics 25, no. 2 (June 1, 1994): 113–23. http://dx.doi.org/10.5556/j.tkjm.25.1994.4433.

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Let $F(b,M,n)$($b\neq 0$, complex, $M >1/2$, and $n$ is a positive integer) denote the classof functions $f(z)=z+\sum_{k=n+1}^\infty a_kz^k$ analytic in $U=\{z: |z|< 1\}$ which satisfy for fixed $M$, $f (z)/z \neq 0$ in $U$ and \[ \left|\frac{b-1+\frac{zf'(z)}{f(z)}}{b}-M\right|<M, \quad z\in U.\] Also let $F^*(b,M,n)$ ($b\neq 0$, complex, $M >1/2$, and $n$ is a positive integer) denote the class of functions $f(z)=1/z+\sum_{k=n}^\infty a_kz^k$ analytic in the annulus $U^* = \{z : 0 < |z| < 1\}$ which satisfy \[ \left|\frac{b-1+\frac{zf'(z)}{f(z)}}{b}-M\right|<M, \quad z\in U^*.\] In this paper we obtain bounds for the coefficients of functions of the above classes.
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Bozkurt, Durmuş, and Burcu Bozkurt-Altındağ. "Integer powers of certain complex tridiagonal matrices and some complex factorizations." Filomat 31, no. 15 (2017): 4715–24. http://dx.doi.org/10.2298/fil1715715b.

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In this paper, we obtain a general expression for the entries of the rth power of a certain n x n complex tridiagonal matrix where if n is even, r ? Z or if n is odd, r ? N. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.
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Li, Jing, Jianjun Zhang, and Liangwen Liao. "On Growth of Meromorphic Solutions of Complex Functional Difference Equations." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/828746.

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The main purpose of this paper is to investigate the growth order of the meromorphic solutions of complex functional difference equation of the form(∑λ∈I‍αλ(z)(∏ν=1n‍f(z+cν)lλ,ν))/(∑μ∈J‍βμ(z)(∏ν=1n‍f(z+cν)mμ,ν))=Q(z,f(p(z))), whereI={λ=(lλ,1,lλ,2,…,lλ,n)∣lλ,ν∈ℕ⋃‍{0}, ν=1,2,…,n}andJ={μ=(mμ,1,mμ,2,…,mμ,n)∣mμ,ν∈ℕ⋃‍{0}, ν=1,2,…,n}are two finite index sets,cν (ν=1,2,…,n)are distinct complex numbers,αλ(z)(λ∈I)andβμ(z)(μ∈J)are small functions relative tof(z),andQ(z,u)is a rational function inuwith coefficients which are small functions off(z),p(z)=pkzk+pk-1zk-1+⋯+p0∈ℂ[z]of degreek≥1. We also give some examples to show that our results are sharp.
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MALİK, Shabir, and Ashish KUMAR. "On the maximum modulus of a complex polynomial." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 71, no. 3 (September 30, 2022): 666–81. http://dx.doi.org/10.31801/cfsuasmas.989344.

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In this paper we impose distinct restrictions on the moduli of the zeros of p(z)=n∑v=0avzvp(z)=∑v=0navzv and investigate the dependence of ∥p(Rz)−p(σz)∥‖p(Rz)−p(σz)‖, R&gt;σ≥1R&gt;σ≥1 on MαMα and Mα+πMα+π, where Mα=max1≤k≤n|p(ei(α+2kπ)/n)|Mα=max1≤k≤n|p(ei(α+2kπ)/n)| and on certain coefficients of p(z)p(z). This paper comprises several results, which in particular yields some classical polynomial inequalities as special cases. Moreover, the problem of estimating p(1−wn)p(1−wn), $0&lt;w\leq$ given $p(1)=0$ is considered.
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Zhang, Jianjun. "On Complex Differential-Difference Equations of Malmquist Type." Journal of Mathematics 2022 (November 8, 2022): 1–10. http://dx.doi.org/10.1155/2022/9554312.

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In this paper, we shall give some properties of complex differential-difference equation of the form ∑ μ = 1 n α μ z ∏ i = 1 t f z + c i a i 0 μ f ′ z + c i a i 1 μ ⋯ f k i z + c i a i k i μ / ∑ ν = 1 m β ν z ∏ i = 1 t f z + c i b i 0 ν f ′ z + c i b i 1 ν ⋯ f k i z + c i b i k i ν = R z , f z , where a i j μ μ = 1,2 , … , n and b i j ν ν = 1,2 , … , m i = 1,2 , … , t ; j = 0,1 , … , k i are non-negative integers, c i i = 1,2 , … , t are distinct, nonzero complex numbers, α μ z μ = 1,2 , … , n and β ν z ν = 1,2 , … , m are small functions relative to f z , and R z , f z is a rational function in f z with coefficients, which are small functions of f z . We also consider related complex functional equations in the paper. These results are improvements of some several previous results.
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Dragomir, S. S. "New Inequalities of CBS-Type for Power Series of Complex Numbers." Fasciculi Mathematici 57, no. 1 (December 1, 2016): 37–51. http://dx.doi.org/10.1515/fascmath-2016-0015.

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Abstract Let $f(\lambda ) = \sum\nolimits_{n = 0}^\infty {a_n \lambda ^n } $ be a function defined by power series with complex coefficients and convergent on the open disk D(0, R) ⊂ ℂ, R > 0. In this paper we show amongst other that, if α, z ∈ ℂ are such that |α|, |α| |z|2 < R, then $$\left| {f(\alpha )f(\alpha z^2 ) - f^2 (\alpha z)} \right| \le f_A \left( {\left| \alpha \right|} \right) f_A \left( {\left| \alpha \right|\left| z \right|^2 } \right) - \left| {f_A (\left| \alpha \right|z)} \right|^2 .$$ where $f_A (z) = \sum\nolimits_{n = 0}^\infty {\left| {\alpha _n } \right|z^n } $ . Applications for some fundamental functions defined by power series are also provided.
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Jiao, Xiaoxiang, Chiakuei Peng, and Xiaowei Xu. "Lagrangian submanifolds in complex projective space CP n." Frontiers of Mathematics in China 7, no. 6 (October 22, 2012): 1129–40. http://dx.doi.org/10.1007/s11464-012-0244-z.

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Raston, CL, CR Whitaker, and AH White. "Lewis-Base Adducts of Main Group Metal(I) Compounds. XI. Di-μ-iodo-bis(N,N,N′,N″,N″-pentamethyldiethylenetriamine-N,N′,N″-sodium)." Australian Journal of Chemistry 42, no. 8 (1989): 1393. http://dx.doi.org/10.1071/ch9891393.

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The synthesis and structural characterization of the 1:1 adduct of sodium(I) iodide and N,N,N′,N″,N″- pentamethyldiethylenetriamine (pmdeta), a novel coordination complex of sodium(I), is recorded. Single-crystal X-ray structure determination shows the compound to be a �,�′- diiodo-bridged dimer, with the tridentate base making up the five-coordinate environment of sodium: [( pmdeta )NaI2Na( pmdeta )]. Crystals are triclinic, P1, a 10.113(2),b 9.470(2), c 8.793(4) � , α 114.48(2), β 92.09(2), γ 96-65(1)°, Z= 1 dimer ; R was 0.037 for 1837 'observed' reflections.
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Dissertations / Theses on the topic "Riwaka Complex (N Z )"

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"Preimages under z -> z(n) of continua in the complex plane." Tulane University, 2007.

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In 2006, David Bellamy proved that if X is a pseudo-circle in the complex plane which separates 0 from infinity, and if n epsilon Z+, then the preimage of X under z zn is also a pseudo-circle [1]. He ended his paper with two questions. The first question asks whether the preimage under z zn of a hereditarily indecomposable continuum which is irreducible with respect to separating 0 from infinity is necessarily hereditarily indecomposable. The second questions asks whether the preimage under z zn of a continuum which properly contains a pseudo-circle can ever be hereditarily indecomposable. In this paper, the author provides affirmative answers to both questions. In addition, the author explores the behavior of other properties of continua, when taking their preimage under z zn, and gives various examples of interesting continua which can be constructed using this technique
acase@tulane.edu
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Books on the topic "Riwaka Complex (N Z )"

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The fruit fly fauna (Diptera: Tephritideae: Dacinae) of Papua New Guinea, Indonesian Papua, Associated Islands and Bougainville. Wallingford: CABI, 2022. http://dx.doi.org/10.1079/9781789249514.0000.

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Abstract The species within the Tribe Dacini from Papua New Guinea, Indonesian Papua (West Papua, Central Papua, Papua), associated islands and Bougainville are recorded. In all, 296 species are recorded including 65 new species described herein. The new species are treated under two genera, Bactrocera Macquart (eight subgenera) and Dacus Fabricius (three subgenera). The following new species are described and illustrated: Bactrocera (Bactrocera) atriscuta, B. (B.) bisianumu, B. (B.) bogiae, B. (B.) bubiae, B. (B.) bukaensis, B. (B.) caccabata, B. (B.) centraliae, B (B.) dysoxyli, B. (B.) expandosa, B. (B.) fumica, B. (B.) gabensiae, B. (B.) kaiauiae, B. (B.) kauiae, B. (B.) keravatiae, B. (B.) kokodiae, B. (B.) kunvawaensis, B. (B.) labubulu, B. (B.) laensis, B. (B.) manusiae, B. (B.) meraiensis, B. (B.) monostriata, B. (B.) neoabdonigella, B. (B.) neoaeroginosa, B. (B.) ohuiae, B. (B.) paraendiandrae, B. (B.) paraochracea, B. (B.) pometiae, B. (B.) raunsepnaensis, B. (B.) rounaensis, B (B.) rutilana, B. (B.) saramandiae, B. (B.) sari, B. (B.) sylvania, B. (B.) tikelingiae, B. (B.) trivirgulata, B. (B.) waidoriae, B. (B.) yayamiae, Bactrocera (Bulladacus) curiosa, Bactrocera (Calodacus) insolita, Bactrocera (Hemizeugodacus) neoaglaiae, B. (H.) wilhelmiae, Bactrocera (Neozeugodacus) leblanci, Bactrocera (Semicallantra) cerberae, B. (S.) malasaitiae, Bactrocera (Tetradacus) arbuscula, B. (T.) novotnyi, B. (T.) procera, Bactrocera (Zeugodacus) aiyurae, B. (Z.) anglimpiae, B. (Z.) bainingsiae, B. (Z.) madangiae, B. (Z.) magiae, B. (Z.) mitparingii, B. (Z.) oiyaripensis, B. (Z.) parasepikae, B. (Z.) rufoscutella, B. (Z.) xanthovelata, Dacus (Callantra) nigrolobus, D. (Mellesis) alatifuscatus, Dacus (Neodacus) asteriscus, D. (N.) bimaculosus, D. (N.) curvabilis, D. (N.) kreeriae, D. (N.) lalokiae and D. (N.) neosignatifrons. Females of B. (Bactrocera) daruensis Drew, B. (Bactrocera) nigella (Drew) and B. (Bactrocera) thistletoni Drew are described and a revised description of B. (Bactrocera) torresiae Huxham & Hancock is presented. Bactrocera (Bactrocera) denigrata (Drew) is withdrawn from synonymy with B. longicornis Macquart, and a full description of B. longicornis is presented from a study of the holotype and 27 newly collected specimens. New geographical distribution, host plant and male lure records are presented for some species. The major pest species that occur in the geographical region covered by this publication are reviewed and their biosecurity risks to other regional countries discussed. The land mass of Papua New Guinea and Indonesian Papua contains a richer fauna than any other from South-east Asia to the eastern Pacific, presumably resulting from speciation in the rich rainforest ecosystem. Differences of opinion on the status of some species in the Bactrocera dorsalis complex and on the supraspecific classification within the genus Bactrocera are evident in the literature. We have acknowledged and discussed these differences and, as authors, have presented conclusions based on our own research data.
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Book chapters on the topic "Riwaka Complex (N Z )"

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"N (z) rCzC." In Real and Complex Analysis, 525. Chapman and Hall/CRC, 2009. http://dx.doi.org/10.1201/b12330-45.

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Buff, Xavier, and Tan Lei. "The quadratic dynatomic curves are smooth and irreducible." In Frontiers in Complex Dynamics, edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691159294.003.0005.

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This chapter re-proves both the smoothness and the irreducibility of the quadratic dynatomic curves {(c,z) ∈ C² ∣ z is n-periodic for z² + c}. The smoothness is due to previous work laid out by Douady–Hubbard. Moreover, the proof here is based on elementary calculations on the pushforwards of specific quadratic differentials. This approach is a computational illustration of the power of the far more general transversality theory of A. Epstein, and is further inspired by the proof of Lau-Schleicher. The irreducibility is due to Bousch and Lau-Schleicher, but with a different method. Finally, the chapter uses elementary combinatorial properties of the kneading sequences instead of internal addresses.
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Devaney, Robert L. "Limiting behavior of Julia sets of singularly perturbed rational maps." In Frontiers in Complex Dynamics, edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691159294.003.0008.

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This chapter surveys dynamical properties of the families fsubscript c,𝜆(z) = zⁿ + c + λ‎/zᵈ for n ≥ 2, d ≥ 1, with c corresponding to the center of a hyperbolic component of the Multibrot set. These rational maps produce a variety of interesting Julia sets, including Sierpinski carpets and Sierpinski gaskets, as well as laminations by Jordan curves. The chapter describes a curious “implosion” of the Julia sets as a polynomial psubscript c = zⁿ + c is perturbed to a rational map fsubscript c,𝜆. In this way the chapter shows yet another way of producing rational maps through “singular” perturbations of complex polynomials.
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Autschbach, Jochen. "Hydrogen-like Atoms." In Quantum Theory for Chemical Applications, 328–39. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190920807.003.0017.

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This chapter shows how the electronic Schrodinger equation (SE) is solved for a hydrogen-like atom, i.e. an electron moving in the field of a fixed point-like nucleus with charge number Z. The hydrogen atom corresponds to Z = 1. The potential in atomic units is –Z/r, with r being the distance of the electron from the nucleus. The SE is not separable in Cartesian coordinates, but in spherical polar coordinates it separates into a radial equation and an angular momentum equation. The bound states have a total energy of –Z2/(2n2), with n = nr + ℓ being the principal quantum number (q.n.), ℓ = 0,1,2,… the angular momentum q.n., and nr = 1,2,3,… being a radial q.n. Each state for a given ℓ is 2ℓ+1-fold degenerate, with the components labelled by the projection q.n. mℓ. The wavefunctions for mℓ ≠ 0 are complex, but real linear combinations can be formed. This gives the atomic orbitals known from general and organic chemistry. Different ways of visualizing the real wavefunctions are discussed, e.g. as iso-surfaces.
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Huang, Huajun, and Ming-Cheng Tsai. "Linear K-Power Preservers and Trace of Power-Product Preservers." In Matrix Theory - Classics and Advances [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.103713.

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Let V be the set of n×n complex or real general matrices, Hermitian matrices, symmetric matrices, positive definite (resp. semi-definite) matrices, diagonal matrices, or upper triangular matrices. Fix k∈Z\\01. We characterize linear maps ψ:V→V that satisfy ψAk=ψAk on an open neighborhood S of In in V. The k-power preservers are necessarily k-potent preservers, and k=2 corresponds to Jordan homomorphisms. Applying the results, we characterize maps ϕ,ψ:V→V that satisfy “trϕAψBk=trABk for all A∈V, B∈S, and ψ is linear” or “trϕAψBk=trABk for all A,B∈S and both ϕ and ψ are linear.” The characterizations systematically extend existing results in literature, and they have many applications in areas like quantum information theory. Some structural theorems and power series over matrices are widely used in our characterizations.
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Huang, Huajun, and Ming-Cheng Tsai. "Linear K-Power Preservers and Trace of Power-Product Preservers." In Matrix Theory - Classics and Advances [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.103713.

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Let V be the set of n×n complex or real general matrices, Hermitian matrices, symmetric matrices, positive definite (resp. semi-definite) matrices, diagonal matrices, or upper triangular matrices. Fix k∈Z\\01. We characterize linear maps ψ:V→V that satisfy ψAk=ψAk on an open neighborhood S of In in V. The k-power preservers are necessarily k-potent preservers, and k=2 corresponds to Jordan homomorphisms. Applying the results, we characterize maps ϕ,ψ:V→V that satisfy “trϕAψBk=trABk for all A∈V, B∈S, and ψ is linear” or “trϕAψBk=trABk for all A,B∈S and both ϕ and ψ are linear.” The characterizations systematically extend existing results in literature, and they have many applications in areas like quantum information theory. Some structural theorems and power series over matrices are widely used in our characterizations.
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Nan, Dong, Zhengying Li, and Luhong Diao. "Approximation of Broad Learning System and Convolution Function Applied on Face Classification." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde221077.

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Broad Learning System (BLS) is a very fast and effective discriminative learning which is developed by C. L. P. Chen, Z. Liu and others. It avoids the shortcomings of complex model design and large amount of calculation in deep learning. This paper studies the approximation capability of BLS for continuous functions defined on a compact set. It is proved that if the activation function of the enhancement node of BLS is not polynomial, for any continuous function f(x)∈C(K) defined on the compact set K, there is limmq→ ∞,nk→ ∞‖f(x)-fw(x)‖22=0, that is ∀ ε>0, ∃nk ∈ N, mq∈N’, and parameter set w, so that ‖f(x)-fw(x)‖22<ε. A reconstructed model of BLS which is combined the CNN network with the BLS is applied to numerical experiments. The semi-supervised broad learning system(SS-BLS) and its algorithm are proposed. Then, SS-BLS and convolution function are combined to establish SS-CBLS, the numerical experiments of SS-CBLS on face classification are carried out by ORL and Yale face database respectively
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Jolivet, Jean-Pierre. "Water and Metal Cations in Solution." In Metal Oxide Nanostructures Chemistry. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190928117.003.0005.

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Water has an exceptional ability to dissolve minerals. It is safe and chemically stable, and it remains liquid over a wide temperature range. Thus, it is the best solvent and reaction medium for both laboratory and industrial purposes. Water is able to dissolve ionic and ionocovalent solids because of the high polarity of the molecule (dipole moment μ = 1.84 Debye) as well as the high dielectric constant of the liquid (ε = 78.5 at 25°C). This high polarity allows water to exhibit a strong solvating power: that is, the ability to fix onto ions as a result of electrical dipolar interactions. Water is also an ionizing liquid able to polarize an ionocovalent molecule. For example, the solvolysis phenomenon increases the polarization of the HCl molecule in aqueous solution. Finally, owing to the high dielectric constant of the liquid, water is a dissociating solvent that can decrease the electrostatic forces between solvated cations and anions, allowing their dispersion as H+solvated and Cl−solvated through the liquid. (The attractive force F between charges q and q′ separated by the distance r is given by Coulomb’s law, F = qq′/εr2.) These characteristics are rarely found together in common liquids. The dipole moment of the ethanol molecule (μ = 1.69 Debye) is close to that of water, but the dielectric constant of ethanol is much lower (ε = 24.3). Ethanol is a good solvating liquid, but a poor dissociating one; consequently, it is considered a bad solvent of ionic compounds. Dissolution in water of an ionic solid such as sodium chloride is limited to dipolar interactions with Na+ and Cl− ions and their dispersion in the liquid as solvated ions, regardless of the pH of the solution. Cations with higher charge, especially cations of transition metals, retain a fixed number of water molecules, thereby forming a true coordination complex [M(OH2)N]z+ with a well-defined geometry. In addition to the dipolar interactions, water molecules behave as true ligands because they are Lewis bases exerting an electron σ-donor effect on the empty orbitals of the cation.
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Conference papers on the topic "Riwaka Complex (N Z )"

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Yan, Dejun, Junxing Zhang, Nan Jiang, and Lidong Wang. "General Mandelbrot Sets and Julia Sets Generated from Non-analytic Complex Iteration ⨍m(z)=z^n+c." In 2009 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA 2009). IEEE, 2009. http://dx.doi.org/10.1109/iwcfta.2009.89.

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Vineetha, M. C., and M. R. Prathapachandra Kurup. "Spectral and biological studies of copper complex of (Z)-N’-(3,5-dichloro-2-hydroxybenzylidene) benzohydrazide." In INTERNATIONAL CONFERENCE ON SCIENCE AND TECHNOLOGY OF ADVANCED MATERIALS: STAM 20. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0018125.

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Saliminia, A., T. V. Galstyan, A. Villeneuve, and Kathleen Richardson. "Z-Scan Study of Thin Chalcogenide As2S3 Glass Films and Holographic Fabrication of Microlens Networks." In Bragg Gratings, Photosensitivity, and Poling in Glass Fibers and Waveguides. Washington, D.C.: Optica Publishing Group, 1997. http://dx.doi.org/10.1364/bgppf.1997.bmg.4.

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Chalcogenide glasses (ChG) have been shown to be very promising candidates for optical information storage and infrared communication systems [1]. The high photosensitivity of these materials in the visible (near bandgap for ChG) spectral band allows the fabrication of various photoinduced structures for integrated optical circuits [2]. The characterization of the light-induced complex refractive index changes (Δn) in ChG and the realization of new applications represent the goal of the present work. Namely, we report, we believe for the first time, the dynamic separation of different photoexcitation modes in ChG, and the holographic fabrication of one (1D) and two (2D) dimensional microlens networks. We study the ChG film refractive index (n), absorption (α) and thickness (d) photomodulation processes, both in steady state and in transient excitation regimes. We use dynamic holography [3] and Z-scan techniques [4] for this study. These techniques provide important information concerning both the dynamical and the steady-state excitation behavior of our ChG films. Different physical and photochemical mechanisms are responsible for the complex behavior of ChG [3] and their understanding and control is an important challenge for the possible applications.
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Otaki, Nao, Tomoaki Hamaguchi, Takahiro Osuki, Yuhei Suzuki, Masaki Ueyama, and Hirokazu Okada. "Mechanical Properties and Microstructure of the Newly Developed Steel (Low C 18Cr-11Ni-3Cu-Mo-Nb-B-N) After Aging Treatment." In ASME 2020 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/pvp2020-21133.

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Abstract In petroleum refinery plants, materials with high sensitization resistance are required. 347AP has particularly been developed for such applications and shows good sensitization resistance owing to its low C content. However, further improvement in high temperature strength is required for high temperature operations in complex refineries, such as delayed cokers. Recently, a new austenitic stainless steel (low C 18Cr-11Ni-3Cu-Mo-Nb-B-N, UNS No. S34752) with high sensitization resistance and high strength at elevated temperatures has been developed. In this study, the mechanical properties and microstructures of several aged specimens will be reported. By conducting several aging heat treatments in the range of 550–750 °C for 300–10,000 h on the developed steel, it was revealed that there were only few coarse precipitates that assumed sigma phase even after aging at 750 °C for 10,000 h. This indicates that the newly developed steel has superior phase stability. The developed steel drastically increased its Vickers hardness by short-term aging treatments. Through transmission electron microscopy observations, the fine precipitates of Cu-rich phase were observed dispersedly in the ruptured specimen. Therefore, the increase in Vickers hardness in short-term aging is possibly owing to the dispersed precipitation of Cu-rich phase. There was further increase in Vickers hardness owing to Z phase precipitation; however, the increment was smaller than that caused by Cu-rich phase. The newly developed alloy demonstrated excellent creep rupture strength even in the long-term tests of approximately 30,000 h, which is attributed to these precipitates.
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5

Croce, Giulio, Giulio Mori, Viatcheslav V. Anisimov, and Joa˜o Parente. "Assessment of Traditional and Flamelets Models for Micro Turbine Combustion Chamber Optimisation." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38385.

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Different approaches for numerical simulation of premixed combustion are considered, in order to assess their usefulness as design tools for micro gas turbine systems. In particular, a flamelet concept routine by N. Peters has been developed taking into account both mixture fraction Z and G function as scalar flame locators, thus allowing computation of complex fully or partial premixed flame structure. The model can be used also in the thin reaction regime. Scalar transport equations for G, Z and their variance are added to the standard Navier Stokes and turbulence set of equation, in order to track the flame position. However, no chemical term appears explicitly in such equations, since the chemical effects are taken into account via pre-computed locally one-dimensional flamelet solutions. Here, the deep interaction between chemical and turbulence has been introduced through flamelets library built in non equilibrium conditions using CHEMKIN modules. The results of this model are compared the data obtained with a standard EBU model and different reaction mechanisms. Models validation has been carried out through experimental data coming from Aachen University for an axisymmetric Bunsen flame; finally, the code was applied to the analysis of a newly designed micro gas turbine combustor.
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6

Bilik, Vladimir. "Automatic Measurement of Magnetron Rieke Diagrams." In Ampere 2019. Valencia: Universitat Politècnica de València, 2019. http://dx.doi.org/10.4995/ampere2019.2019.9782.

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A Rieke diagram [1] is a magnetron characteristic that visualizes the dependence of the generated frequency fg and the net delivered power PL on the load reflection coefficient GR. GR is defined in a specific magnetron-to-waveguide coupling structure called the standard or reference launcher (Fig. 1). The diagram is plotted as a family of isolines of constant fg and of constant PL in the polar diagram of GR. Rieke diagrams are essential in the design of applications without isolators, such as domestic or professional microwave ovens. Constructing Rieke diagrams is tedious, time-consuming and equipment-demanding [2], [3], preventing systematic studies of their dependence on operating conditions, such as anode voltage and its ripple, filament current, mounting repeatability, etc. We have devised a procedure, centering around a high-power automatic impedance matching device (autotuner), which enables fully automatic measurement and plotting of the stated dependences. A block diagram of the setup is shown in Fig. 1. The autotuner, when terminated in a match (waterload), can accomplish a task inverse to impedance matching: realizing any desired reflection coefficient GR. The measurement consists of stepping through a grid of n suitably chosen reflection coefficients GR = xR + jyR, covering a desired area of the polar diagram. Each GR is measured accurately by the autotuner, along with the corresponding fg and PL. Thus, raw data for constructing a Rieke diagram are obtained, the data consisting of a collection of n points {GR, fg, PL}i, i = 1…n, with GR, in general, irregularly scattered in the complex plane. A dedicated MATLAB routine then reads the data, sorts them out to create tabulated functions fg = f(xR, yR), PL = f(xR, yR), approximates these by a 2D spline, and uses the splines to plot smoothed isocontours for chosen constant values of fg and PL, completing thus the desired Rieke diagram construction. We will present details of this procedure as well as real-life examples. Fig. 1. Rieke diagram measurement setup. References Meredith, R. J., Engineers' Handbook of Industrial Microwave Heating, London: The IEE, 1998, 250–270. Takahashi, H., I. Namba, K. Akiyama, J. Microwave Power, 1979, 14, 261–267.Yixue, W., Z. Zhaotang, Proc. ICMMT'98, 1998, 795–798.
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7

Kimura, Kazuhiro, and Kota Sawada. "Creep Deformation Property and Creep Life Evaluation of Super304H." In ASME 2020 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/pvp2020-21623.

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Abstract Creep deformation behavior, creep strength property and microstructural evolution during creep exposure were investigated on Super 304H steel for boiler tube. In the high stress and lower temperature regime, creep rupture strength of Super 304H steel is higher than that of SUS304H steel. The slope of stress vs. time to rupture curve of Super 304H steel, however, becomes steeper with increases in creep exposure time and temperature, and the creep rupture strength of Super 304H steel becomes closer to that of SUS304H steel after the tens of thousands of hours at 700°C (1292°F) and above. In the short-term, at 600°C (1112°F), creep rupture ductility increases with increase in creep rupture life. However, it tends to decrease after showing this maximum value and the creep rupture ductility decreases with increase in temperature. The complex shape of creep rate vs. time curves, with two minima in creep rate, was observed at 600°C (1112°F). Several type precipitates of niobium carbonitride (Nb(C,N)), Z phase (NbCrN), and copper were observed in Super 304H steel, as well as M23C6 carbide and sigma phase observed in SUS304H steel. The change in slope of stress vs. time to rupture curve is caused by disappearance of precipitation strengthening effect during creep exposure. Accuracy of creep rupture life evaluation was improved by stress range splitting method which takes into account the change in slope of stress vs. time to rupture curves was demonstrated.
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8

Zhang, Xianshan, Peiwei Sun, Xinyu Wei, Xiaolong Gou, Guocheng Tan, and Yajie Tian. "Linear Active Disturbance Rejection Control of Steam Bypass System for a Pressurized Water Reactor." In 2021 28th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/icone28-64451.

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Abstract China has recently promised to reach carbon neutral before 2060. To achieve this ambitious goal, it is necessary to substantially increase the electricity production from clean sources, such as renewable power and nuclear power, to replace the previous share of coal power generation. Most of the nuclear reactors currently in operation in China are pressurized water reactors (PWR). The nuclear steam supply system (NSSS) in PWR is a complex nonlinear system. The steam bypass system ensures the steam generator’s cooling capacity in accident conditions and is essential for safe and efficient plant operation. Because of the broad transport delay and non-linearity in the steam bypass control system, it is difficult for the currently widely used proportional-integral-derivative (PID) control to obtain satisfactory control effects. Therefore, it is necessary and meaningful to design a suitable steam bypass control system for NSSS. The investigation of the steam bypass system is performed by MATLAB & Simulink for a large-scale PWR. The nonlinear model is developed by applying the mass and energy conservation equations of fluids and the critical flow correction. The state-space multivariable models are derived by linearizing the nonlinear model at different operation points. Open-loop simulation experiments have been carried out to study the steam bypass system’s dynamic, and the state-space model simulation results are validated by comparing with the results from the nonlinear model. The open-loop results show that the overall system has a considerable transport delay. Thus, a linear active disturbance rejection controller (LADRC) is designed for the steam bypass system. This research assumes that the model and the amount of delay are nearly unknown; however, the proposed controller still performs better than the existing Ziegler-Nichols (Z-N) tuned PID controller. The LADRC has a shorter settling time than the PID controller; the control system can satisfy the design purposes.
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