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Academic literature on the topic 'LIM MN LIM MCMC'

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Published: 1 April 2023

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Journal articles on the topic "LIM MN LIM MCMC"

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PRASAD, K. C., HRISHIKESH MAHATO, and SUDHIR MISHRA. "A NEW POINT IN LAGRANGE SPECTRUM." International Journal of Number Theory 09, no. 02 (December 5, 2012): 393–403. http://dx.doi.org/10.1142/s1793042112501382.

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Let I denote the set of all irrational numbers, θ ∈ I, and simple continued fraction expansion of θ be [a0, a1, …, an, …]. Then a0 is an integer and {an}n≥1 is an infinite sequence of positive integers. Let Mn(θ) = [0, an, an-1, …, a1] + [an+1, an+2, …]. Then the set of numbers { lim sup Mn(θ) ∣ θ ∈ I} is called the Lagrange Spectrum 𝔏. Notably 3 is the first cluster point of 𝔏. Essentially lim inf 𝔏 or [Formula: see text]. Perron [Über die approximation irrationaler Zahlen durch rationale, I, S.-B. Heidelberg Akad. Wiss., Abh. 4 (1921) 17 pp; Über die approximation irrationaler Zahlen durch rationale, II, S.-B. Heidelberg Akad. Wiss., Abh.8 (1921) 12 pp.] has found that lim inf { lim sup Mn(θ) ∣ θ = [a0, a1, a2, …, an, …] and [Formula: see text]. This article forwards the value of lim inf{lim sup Mn(θ) ∣ θ = [a0, a1, …, an, …] and an ≥ 4 frequently}, a long awaited cluster point of Lagrange Spectrum.
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Mukoyama, Izumi, Takayuki Kodera, Nobuo Ogata, and Takashi Ogihara. "Synthesis and Lithium Battery Properties of LiM(M=Fe,Al,Mg)xMn2-xO4 Powders by Spray Pyrolysis." Key Engineering Materials 301 (January 2006): 167–70. http://dx.doi.org/10.4028/www.scientific.net/kem.301.167.

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LiM(M=Fe,Al,Mg)XMn2-XO4 fine powders were synthesized by the ultrasonic spray pyrolysis using metal nitrate solution. LiMn2O4 powders obtained by this method have a spherical morphology with a submicron size. XRD revealed that as-prepared powders were crystallized to spinel structure with Fd3m space group. LiM(M=Fe,Al,Mg)XMn2-XO4 showed enhanced cycling performance at room temperature. Reduced Jahn-Teller distortion of LiMn2O4 by metal doping was responsible for enhanced cycle performance of LiMn2O4.
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XU, Congjun, Haozhi SUI, Binduo XU, Chongliang ZHANG, Yupeng JI, Yiping REN, and Ying XUE. "Energy flows in the Haizhou Bay food web based on the LIM-MCMC model." Journal of Fishery Sciences of China 28, no. 01 (January 1, 2021): 1–13. http://dx.doi.org/10.3724/sp.j.1118.2021.20129.

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Li, Chi-Kwong, and Stephen Pierce. "Linear Operators Preserving Similarity Classes and Related Results." Canadian Mathematical Bulletin 37, no. 3 (September 1, 1994): 374–83. http://dx.doi.org/10.4153/cmb-1994-055-0.

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AbstractLet Mn be the algebra of n × n matrices over an algebraically closed field of characteristic zero. For A ∊ Mn, denote by the collection of all matrices in Mn that are similar to A. In this paper we characterize those invertible linear operators ϕ on Mn that satisfy , where for some given A1,..., Ak ∊ Mn and denotes the (Zariski) closure of S. Our theorem covers a result of Howard on linear operators mapping the set of matrices annihilated by a given polynomial into itself, and extends a result of Chan and Lim on linear operators commuting with the function f(x) = xk for a given positive integer k ≥ 2. The possibility of weakening the invertibility assumption in our theorem is considered, a partial answer to a conjecture of Howard is given, and some extensions of our result to arbitrary fields are discussed.
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Ivashkevich, Ludmila S., Kirill A. Selevich, Anatoly I. Lesnikovich, and Anatoly F. Selevich. "X-ray powder diffraction study of LiCrP2O7." Acta Crystallographica Section E Structure Reports Online 63, no. 3 (February 14, 2007): i70—i72. http://dx.doi.org/10.1107/s1600536807005752.

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The monoclinic crystal structure of lithium chromium(III) diphosphate, LiCrP2O7, isotypic with other members of the series LiM IIIP2O7 (M III = Mn, Fe, V, Mo, Sc and In), was refined from laboratory X-ray powder diffraction data using the Rietveld method. The Cr3+ cation is bonded to six O atoms from five diphosphate anions to form a distorted octahedron. Links between the bent diphosphate anions and the Cr3+ cations result in a three-dimensional network, with tunnels filled by the Li+ cations in a considerably distorted tetrahedral environment of O atoms.
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Rétaux, Sylvie, and Isabelle Bachy. "A Short History of LIM Domains (1993-2002): From Protein Interaction to Degradation." Molecular Neurobiology 26, no. 2-3 (2002): 269–81. http://dx.doi.org/10.1385/mn:26:2-3:269.

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7

Alsmeyer, Gerold. "Ladder epochs and ladder chain of a Markov random walk with discrete driving chain." Advances in Applied Probability 50, A (December 2018): 31–46. http://dx.doi.org/10.1017/apr.2018.68.

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Abstract Let (Mn,Sn)n≥0 be a Markov random walk with positive recurrent driving chain (Mn)n≥0 on the countable state space 𝒮 with stationary distribution π. Suppose also that lim supn→∞Sn=∞ almost surely, so that the walk has almost-sure finite strictly ascending ladder epochs σn>. Recurrence properties of the ladder chain (Mσn>)n≥0 and a closely related excursion chain are studied. We give a necessary and sufficient condition for the recurrence of (Mσn>)n≥0 and further show that this chain is positive recurrent with stationary distribution π> and 𝔼π>σ1><∞ if and only if an associated Markov random walk (𝑀̂n,𝑆̂n)n≥0, obtained by time reversal and called the dual of (Mn,Sn)n≥0, is positive divergent, i.e. 𝑆̂n→∞ almost surely. Simple expressions for π> are also provided. Our arguments make use of coupling, Palm duality theory, and Wiener‒Hopf factorization for Markov random walks with discrete driving chain.
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Lutz, Heinz Dieter, Klaus Wussow, and Peter Kuske. "Ionic Conductivity, Structural, IR and Raman Spectroscopic Data of Olivine, Sr2PbO4, and Na2CuF4 Type Lithium and Sodium Chlorides Li2ZnCl4 and Na2MCl4 (M = Mg, Ti, Cr, Mn, Co, Zn, Cd)." Zeitschrift für Naturforschung B 42, no. 11 (November 1, 1987): 1379–86. http://dx.doi.org/10.1515/znb-1987-1103.

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The ionic conductivities (complex impedance measurements) of the olivine type Li2ZnCl4, Na2ZnCl4 and Na2CoCl4, the Sr2PbO4 type Na2MgCl4, Na2MnCl4, and Na2CdCl4, and the novel Na2CrCl4 with monoclinically distorted Sr2PbO4 structure (Na2CuF4 type) are presented. The specific conductivities of Li2ZnCl4 and the Na2MCl4 are about three orders of magnitude lower than those of the fast ionic conducting lithium chloride spinels Li[LiM ]Cl4 (M = Mg, Mn. Fe. Cd. etc.) indicating that in the latter compounds the tetrahedrally coordinated lithium ions exhibit higher mobility than those on octahedral sites. The X-ray data including those of Sr2PbO4 type Na2TiCl4 and both the IR and Raman spectra (together with a group theoretical treatment) are also given. The spectra obtained confirm the different structure types of the ternary chlorides.
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Kambak, Çagla, and İbrahim Çanak. "Necessary and sufficient Tauberian conditions under which convergence follows from $A^{r,\delta}$ summability." Boletim da Sociedade Paranaense de Matemática 41 (December 23, 2022): 1–13. http://dx.doi.org/10.5269/bspm.50823.

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Let $x=(x_{mn})$ be a double sequence of real or complex numbers. The $A^{r,\delta}$-transform of a sequence $(x_{mn})$ is defined by$$(A^{r,\delta}x)_{mn}={\sigma^{r,\delta}_{mn}(x)}=\frac{1}{(m+1)(n+1)}\sum_{j=0}^{m}\sum_{k=0}^{n}(1+r^j)(1+\delta^k)x_{jk}, \ \ \ \ \ 0<r, \delta<1$$The $A^{r,*}$ and $A^{*,\delta}$ transformations are defined respectively by$$(A^{r,*}x)_{mn}={\sigma^{r,*}_{mn}(x)}=\frac{1}{m+1}\sum_{j=0}^{m}(1+r^{j})x_{jn}, \ \ \ 0<r<1,$$and$$(A^{*,\delta}x)_{mn}={\sigma^{*,\delta}_{mn}(x)}=\frac{1}{n+1}\sum_{k=0}^{n}(1+\delta^{k})x_{mk},\ \ \ 0<\delta<1.$$ We say that $(x_{mn})$ is ($A^{r,\delta}$,1,1) summable to $l$ if $({\sigma^{r,\delta}_{mn}}(x))$ has a finite limit $l$. It is known that if $\lim_{m,n \to \infty }x_{mn}=l$ and $(x_{mn})$ is bounded, then the limit $\lim _{m,n \to \infty} \sigma_{mn}^{r,\delta}(x)=l$ exists.But the inverse of this implication is not true in general. Our aim is to obtain necessary and sufficient conditions for ($A^{r,\delta}$,1,1) summability method under which the inverse of this implication holds. Following Tauberian theorems for $(A^{r,\delta},1,1)$ summability method, we also introduce $A^{r,*}$ and $A^{*,\delta}$ transformations of double sequences and obtain Tauberian theorems for the $(A^{r,*},1,0)$ and $(A^{*,\delta},0,1)$ summability methods.
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ABTAHI, M., and T. G. HONARY. "PROPERTIES OF CERTAIN SUBALGEBRAS OF DALES-DAVIE ALGEBRAS." Glasgow Mathematical Journal 49, no. 2 (May 2007): 225–33. http://dx.doi.org/10.1017/s0017089507003576.

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AbstractWe study an interesting class of Banach function algebras of infinitely differentiable functions on perfect, compact plane sets. These algebras were introduced by H. G. Dales and A. M. Davie in 1973, called Dales-Davie algebras and denoted by D(X, M), where X is a perfect, compact plane set and M = {Mn}∞n = 0 is a sequence of positive numbers such that M0 = 1 and (m + n)!/Mm+n ≤ (m!/Mm)(n!/Mn) for m, n ∈ N. Let d = lim sup(n!/Mn)1/n and Xd = {z ∈ C : dist(z, X) ≤ d}. We show that, under certain conditions on X, every f ∈ D(X, M) has an analytic extension to Xd. Let DP [DR]) be the subalgebra of all f ∈ D(X, M) that can be approximated by the restriction to X of polynomials [rational functions with poles off X]. We show that the maximal ideal space of DP is $X^_d$, the polynomial convex hull of Xd, and the maximal ideal space of DR is Xd. Using some formulae from combinatorial analysis, we find the maximal ideal space of certain subalgebras of Dales-Davie algebras.
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Book chapters on the topic "LIM MN LIM MCMC"

1

Mukoyama, Izumi, Takayuki Kodera, Nobuo Ogata, and Takashi Ogihara. "Synthesis and Lithium Battery Properties of LiM(M=Fe,Al,Mg)xMn2-xO4 Powders by Spray Pyrolysis." In Electroceramics in Japan VIII, 167–70. Stafa: Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/0-87849-982-2.167.

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