Results 41 to 50 of about 91,155 (272)
Integration on quantum Euclidean space and sphere in $N$ dimensions
, 1995 Invariant integrals of functions and forms over $q$ - deformed Euclidean space and spheres in $N$ dimensions are defined and shown to be positive definite, compatible with the star - structure and to satisfy a cyclic property involving the $D$ - matrix ...
Faddeev L. D., Harold Steinacker
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
On Convolved Fibonacci Polynomials
MathematicsThis work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed +2 more
doaj +1 more source
Relation of the Cyclotomic Equation with the Harmonic and Derived Series
The Scientific World Journal, 2015 We associate some (old) convergent series related to definite integrals with the cyclotomic equation xm-1=0, for several natural numbers m; for example, for m=3, x3-1=(x-1)(1+x+x2) leads to ∫01dx(1/(1+x+x2))=π/(33)=(1-1/2)+(1/4-1/5)+(1/7-1/8)+⋯.
Luis J. Boya, Cristian Rivera
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A simple method for finite range decomposition of quadratic forms and Gaussian fields
, 2019 We present a simple method to decompose the Green forms corresponding to a large class of interesting symmetric Dirichlet forms into integrals over symmetric positive semi-definite and finite range (properly supported) forms that are smoother than the ...
A Sikora +20 more
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Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
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The Cauchy-Schlomilch transformation [PDF]
, 2010 The Cauchy-Schl\"omilch transformation states that for a function $f$ and $a, \, b > 0$, the integral of $f(x^{2})$ and $af((ax-bx^{-1})^{2}$ over the interval $[0, \infty)$ are the same.
Amdeberhan, T. +5 more
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Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field
Advanced Robotics Research, EarlyView.This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao +3 more
wiley +1 more source
Advanced Science, EarlyView.This study analyzes gut bacteria in cholangiocarcinoma patients, revealing distinct microbial signatures that enable accurate disease detection. Species‐based diagnostic models achieved over 98% accuracy in identifying cholangiocarcinoma and distinguished it from other liver diseases. The research demonstrates that specific beneficial bacteria suppress
Benchen Rao +18 more
wiley +1 more source