Results 71 to 80 of about 12,867 (291)
Some formulas related to Euler's product expansion for cosine function [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tan x, several expressions for log cosh x and an identity for π², from a series expansion of tan x, which gives the product ...
Taekyun Kim, Dae San Kim
doaj +1 more source
On poly-Euler numbers of the second kind (Algebraic Number Theory and Related Topics 2016) [PDF]
, 2020 "Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.For an integer
Komatsu, Takao
core
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Journal of Applied Mathematics, 2013 Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
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Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
wiley +1 more source
Euler numbers, polynomals and properties
, 2010 Bu tezde Euler sayıları ve polinomları tanımlanmış ve çeşitli özellikleri ele alınarak, kullanım alanları gösterilmiştir.Bu tez üç bölümden oluşmaktadır.
Özbay, Hatice
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On the (w, q)-Euler numbers and polynomials with weight α [PDF]
, 2020 The purpose of this paper is to investigate some properties of q-Euler numbers and polynomials with weight 0. From those q-Euler numbers with weight 0, we derive some identities on the q-Euler numbers and polynomials with weight ...
T Kim, J Choi
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
doaj +1 more source
Symmetric Identities for Carlitz-Type Higher-Order Degenerate (p,q)-Euler Numbers and Polynomials
, 2019 The main goal of this paper is to investigate some interesting symmetric identities for Carlitz-type higher-order degenerate ( p , q ) -Euler numbers, and polynomials.
Cheon Seoung Ryoo, Kyung-Won Hwang
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