Výsledky vyhledávání - "INTEGRAL theorems"

On the Ayed-Kuo stochastic integration for anticipating integrands Autor Jornet, Marc

“…In this article, we prove new results for the anticipating stochastic integral introduced by Ayed and Kuo. We present an existence criterion for the integral,…”
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Log-gases and random matrices Autor Forrester, P.J, Forrester, P.J

“…Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a…”
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Generalized integral theorems for quaternionic G-monogenic mappings Autor Kuzmenko, Tetyana S., Shpakivskyi, Vitalii S.

“…For G -monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic…”
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Boundary Element Method Autor Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…This chapter presents a brief introduction of the boundary element method (BEM) along with a simple example problem for easy understanding of the method. To…”
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Complex Integrals and Series Autor Bayin, Selcuk S

“…This chapter introduces the complex integral theorems. Despite their simplicity, these theorems are incredibly powerful and establish the basis of complex…”
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Appendix E: Trade secrets: tools for dealing with vectors and vector identities Autor Dutra, Sergio M.

“…This appendix collects together a number of useful results of vectorial calculus. It shows how to represent vector products using determinants, how to write…”
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Appendix C: Quaternions and special relativity Autor Dutra, Sergio M.

“…Complex numbers unify algebra and two dimensional geometry representing rotations on the plane as multiplication by a complex number. This appendix introduces…”
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Notation – Matrices and Tensors

“…This chapter contains sections titled: Matrix representation of mathematical objects Basic relations in matrix algebra Definition of tensors and some basic…”
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Some Relativistic Integral Theorems Autor Forrester, D. A.

“…The general relativistic form of a well-known classical integral theorem is obtained. Upper and lower bounds are then found for the gravitational potential…”
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On the Cauchy integral theorem and Polish spaces Autor López Morales, Cristian, Ramírez Maluendas, Camilo

“…We prove that if a continuous function $f$ in an open subset $U\subset\mathbb{C}$ is analytic in $U\setminus X$, where $X\subset U$ is a Polish space having…”
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Cauchy activation function and XNet Autor Li, Xin, Xia, Zhihong, Zhang, Hongkun

“…We have developed a novel activation function, named the Cauchy Activation Function. This function is derived from the Cauchy Integral Theorem in complex…”
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Field Gradient Analysis Based on a Geometrical Approach Autor Shen, C., Dunlop, M.

“…Using multi‐point observations from a spacecraft constellation, the spatial gradients of measured physical quantities can be calculated, and thus other derived…”
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Generalized pseudotensor formulations of the Stokes’ integral theorem Autor Radayev, Yu. N., Murashkin, E. V.

“…Oriented continua play an important role in micropolar elasticity modelling. All realizations of micropolar theories are conceptually possible only within the…”
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Fast calculation of electrostatic fields based on conformal mapping Autor Guo, Nengxing, Li, Ruifang, Cao, Xiaobin, Liang, Yujing, Lei, Qian, Cai, Shuyan, Zhou, Jie, Xu, Yifan, Wen, Weibin

“…To address the challenges of electrostatic field calculation for dynamic sources in complex terrains, this study proposes a computational strategy combining…”
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Approximate Bayesian computation using the Fourier integral theorem Autor Rotiroti, Frank, Walker, Stephen G.

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Study of Several New Variations of the Hardy-Hilbert Integral Inequality Autor Chesneau, Christophe

“…In this article, we introduce new variations of the Hardy-Hilbert integral inequality, incorporating weight functions that depend on sums, products, absolute…”
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The Cauchy integral formula for (p, q)-monogenic functions with α-weight in superspace Autor Gao, Long, Du, Xiaojing, Liang, Xiaotong, Xie, Yonghong

“…First, some properties for $ (p,q) $ ( p , q ) -monogenic functions with α-weight in superspace are obtained. Then the Cauchy-Pompeiu formula in superspace is…”
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Analog of the Weierstrass Theorem and the Blaschke Product for A(z)-analytic Functions Autor Ne'matillayeva, Muhayyo, Khursanov, Shohruh

“…We consider A(z)-analytic functions in the case when A(z) is an antiholomorpic function. For A(z)-analytic functions analogs of the Weierstrass theorem and of…”
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Green's and Stoke's Theorems Redefined with SFVCP Autor Kankarej, Manisha, Singh, Jai Pratap

“…In this research we have explored the concept of circulation and flux of a vector field using the definition of standard fractional vector cross…”
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Selected Topics in Gravity, Field Theory and Quantum Mechanics

“…Quantum field theory has achieved some extraordinary successes over the past sixty years; however, it retains a set of challenging problems. It is not yet able…”
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