Results 51 to 60 of about 171,939 (293)
Pacific Journal of Mathematics, 2014 Based on author's abstract: There are discussed some formulas for nonlinear Euler sums involving multiple zeta values. As applications of these formulas, some new closed form sums of several nonlinear Euler series, sums for powers of the digamma function are presented.
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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
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Multiple Argument Euler Sum Identities
MathematicsWe develop a number of new identities for linear Euler harmonic number sums with multiple argument. Some new examples of even weight linear Euler harmonic sum identities are given.
Anthony Sofo
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Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
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General Euler Diagram Generation [PDF]
, 2008 Euler diagrams are a natural method of representing set-theoretic data and have been employed in diverse areas such as Visualizing statistical data, as a basis for diagrammatic logics and for displaying the results of database search queries.
Andrew Fish +6 more
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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
From the Euler method to the closed-form solution of the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force [PDF]
Revista Brasileira de Ensino de FísicaThe Euler method of numeric approximation for solving initial-value problems is applied for describing the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force.
Antonio S. de Castro
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Continuum Robots in Surgery: From Engineering Design to Clinical Practice
Advanced Robotics Research, EarlyView.The hyper‐redundant nature of continuum robot structures enables near‐infinite degrees of freedom leading to immense potential for medical applications. This review provides a historical background of continuum robots and novel ideas shaping their progress to current structural design, sensing technology, modeling techniques, and control methods.
Griffin Smith +6 more
wiley +1 more source
Families of specialized Euler sums [PDF]
Discrete Mathematics Letters, 2022 Anthony Sofo
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On Stirling numbers and Euler sums
Journal of Computational and Applied Mathematics, 1997 In this paper, we propose another yet generalization of Stirling numbers of the first kind for noninteger values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hypergeometric function and the logarithmic beta integral.
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