Results 71 to 80 of about 72,702 (264)

Computation of conformal representations of compact Riemann surfaces [PDF]

, 2009
We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheeted compact Riemann surface onto the extended complex plane.
Lagomasino, Guillermo Lopez, Pestana, Domingo, Rodriguez, Jose M., Yakubovich, Dmitry   +3 more
core   +4 more sources

Multiple orthogonal polynomials for classical weights [PDF]

Transactions of the American Mathematical Society, 2003
A new set of special functions, which has a wide range of applications from number theory to integrability of nonlinear dynamical systems, is described. The multiple orthogonal polynomials with respect to \(p>1\) weights satisfying Pearson's equation. In particular, a classification of multiple orthogonal polynomials with respect to classical weights ...
A. I. Aptekarev, A. Branquinho, W. Van Assche   +2 more
openaire   +1 more source

Backpropagation Through Soft Body: Investigating Information Processing in Brain–Body Coupling Systems

Advanced Robotics Research, EarlyView.
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka, Katsuma Inoue, Yasuo Kuniyoshi, Kohei Nakajima   +3 more
wiley   +1 more source

Computation of the Likelihood of Joint Site Frequency Spectra Using Orthogonal Polynomials

Computation, 2016
In population genetics, information about evolutionary forces, e.g., mutation, selection and genetic drift, is often inferred from DNA sequence information.
Claus Vogl, Juraj Bergman
doaj   +1 more source

On Certain Wronskians of Multiple Orthogonal Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2014
We consider determinants of Wronskian type whose entries are multiple orthogonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, we show that the polynomials represented by the Wronskians keep a constant sign in some cases, while in some other cases ...
Zhang, L., Filipuk, G.
openaire   +4 more sources

Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics

Advanced Science, EarlyView.
Weak nonlinearities critically shape the long term behavior of oscillatory systems but are difficult to identify from data. A data‐driven framework is introduced to infer governing equations of weakly nonlinear oscillators from sparse and noisy observations.
Teng Ma, Ting‐Ting Gao, Wei Cui, Attilio Frangi, Gang Yan, Lin Zhao   +5 more
wiley   +1 more source

Painleve IV and degenerate Gaussian Unitary Ensembles

, 2006
We consider those Gaussian Unitary Ensembles where the eigenvalues have prescribed multiplicities, and obtain joint probability density for the eigenvalues.
An J Wang Z Yan K, Barnes E W, Brezin E B, Chen Y, Chen Y, Chen Y, Di Francesco P, Forrester P J, Gromak V I, Grünbaum F A Haine L, Kajiwara K, Lukashevich N A, M V Feigin, Magnus A P, Mehta M L, Murata Y, Noumi M, Okamoto K, Snaith N, Szegö G, Weyl H, Yang Chen   +21 more
core   +1 more source

Multiplicity Free Induced Representations and Orthogonal Polynomials [PDF]

International Mathematics Research Notices, 2017
Let $(G,H)$ be a reductive spherical pair and $P\subset H$ a parabolic subgroup such that $(G,P)$ is spherical. The triples $(G,H,P)$ with this property are called multiplicity free systems and they are classified in this paper. Denote by $ ^{H}_ =\mathrm{ind}_{P}^{H} $ the Borel-Weil realization of the irreducible $H$-representation of highest ...
openaire   +2 more sources

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source

A Soft Matrix Microenvironment Promotes Laterally Spreading Tumors via Oxidative Phosphorylation‐Dependent Cell Adhesion

Advanced Science, EarlyView.
Laterally spreading tumors (LSTs) are precancerous colorectal lesions characterized by a flat morphology. This study reveals a mechanochemical pathway through which a soft matrix microenvironment diminishes spatial constraints in intestinal adenomas. This process promotes deficiencies in tight junction proteins, mediated by the mechanoreceptor ADORA2B ...
Jiamin Zhong, Jingyi Lu, Haopeng Li, Jun Zhong, Xiaobei Luo, Yiyi Hu, Xianfei Wang, Pengfei Wang, Yanning Zhang, Zhenjiang Wang, Qiuhua Lai, Zhenyu Chen, Wenting Mi, Wang Tin San‐to, Weize Li, Shuping Tan, Qihong Cheng, Ruijia Li, Yida Nie, Side Liu, Bing Huang, Zelong Han   +21 more
wiley   +1 more source