Results 91 to 100 of about 39,512 (228)
A Completeness Theorem for Trigonometric Identities and Various Results on Exponential Functions [PDF]
Proceedings of the American Mathematical Society, 1986 All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts.
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Experimental Analysis and Physics‐Based Analytical Model on Twisted and Coiled Artificial Muscles
Advanced Engineering Materials, Volume 28, Issue 2, 21 January 2026.Twisted and coiled artificial muscles made from silver‐coated nylon fibers are investigated through experiments and analytical modeling. The actuators achieve contractions up to 19.3% and specific work of 8 kJ kg−1, though efficiency remains limited (≈0.15%) by thermal losses.
Salvatore Garofalo +3 more
wiley +1 more source
Some implications of a new definition of the exponential function on time scales
, 2010 We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
core
Indonesian Journal of Electrical Engineering and Computer ScienceThis paper introduces a novel approach to the approximate solution of linear differential equations associated with principal fractional trigonometry and the R function.
D. Boucherma +5 more
semanticscholar +1 more source
Rotary 4D Printing of Programmable Metamaterials on Sustainable 4D Mandrel
Advanced Materials Technologies, Volume 11, Issue 1, 8 January 2026.The paper introduces open, rotary 4D printing of programmable tubular metamaterials. It presents an open, non‐planar path‐to‐G‐code pipeline and shape‐changing rotary mandrel that enable support‐free fabrication and multi‐stimuli actuation. Experiments and FEA validate the mentioned features and stress redistribution.
Hesam Soleimanzadeh +4 more
wiley +1 more source
An exponential-trigonometric spline minimizing a seminorm in a Hilbert space
, 2020 In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^{1}(\varphi {'''}(x)+\
K. Shadimetov, A. Boltaev
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Some exponential and trigonometric integrals involving the log gamma function
, 2022 This paper considers some integrals where the integrand comprises the log gamma function or the digamma function multiplied by exponential or trigonometric functions.
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Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source
, 2020 This paper is devoted to the construction of localapproximations of functions of one and two variables using thepolynomial, the trigonometric, and the exponential splines. Thesesplines are useful for visualizing flows of graphic information.Here, we also
I. Burova, E. F. Muzafarova
semanticscholar +1 more source
Modelling medical data using the cosine generalized exponential distribution
ArrayThe volume of data accessible for analysis is expanding rapidly, necessitating the development of new probability distributions to better represent each phenomenon or experiment researched.
Laban Gasper +2 more
doaj +1 more source