Results 151 to 160 of about 2,958 (201)

Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]

Sci Rep
Alam MN, Ahmed SF, Ismael HF, Firdi MD, Badruddin IA, Javed S.   +5 more
europepmc   +1 more source

Fractional-order differential model for knee implant recovery in smart health infrastructures. [PDF]

Sci Rep
Chinebu TI, Okafor KC, Nwadinigwe CU, Nwigwe JO, Chidiebere DR, Peace OI, Longe OM, Anoh K.   +7 more
europepmc   +1 more source

The Generalized Exponential Function and Fractional Trigonometric Identities

2011 20th European Conference on Circuit Theory and Design (ECCTD), 2011
In this work, we recall the generalized exponential function in the fractional-order domain which enables defining generalized cosine and sine functions. We then re-visit some important trigonometric identities and generalize them from the narrow integer-order subset to the more general fractional-order domain. Generalized hyperbolic function relations
Ahmed S Elwakil, Ahmed G. Radwan
exaly   +4 more sources

On exponential and trigonometric functions on nonuniform lattices [PDF]

The Ramanujan Journal, 2019
On non-uniform lattices, the authors develop analogs of exponential and trigonometric functions (including the \(q\)-exponential function). They derive many fundamental properties of these functions, such as the addition formula, positivity, reciprocal and the fundamental trigonometric relations.
Nangho, Maurice Kenfack, Foupouagnigni, M., Koepf, W.   +2 more
openaire   +4 more sources

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On Hardware for Computing Exponential and Trigonometric Functions

IEEE Transactions on Computers, 1996
Summary: This paper presents new, fast hardware for computing the exponential function, sine, and cosine. The main new idea is to use low-precision arithmetic components to approximate high precision computations, and then to correct very quickly the approximation error periodically so that the effect is to get high precision computation at near low ...
exaly   +2 more sources

Approximation of Entire Functions of Exponential Type by Trigonometric Polynomials

Sampling Theory in Signal and Information Processing, 2007
Let f be an entire function of exponential type σ bounded on the real line. We associate with f an explicitly given function fL,0 which coincides with a trigonometric polynomial of period L and exponential type σ + 2π/L on the strip ℜz ≤ L/2 and which is zero outside.
Gerhard Schmeisser
exaly   +2 more sources

New Definitions of Exponential, Hyperbolic and Trigonometric Functions on Time Scales [PDF]

Journal of Mathematical Analysis and Applications, 2012
We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Jan Cieśliński
exaly   +3 more sources

Rational Cubic Trigonometric Exponential Bézier Curve [PDF]

JOURNAL OF ADVANCED APPLIED SCIENTIFIC RESEARCH, 2021
The cubic trigonometric basis functions are constructed by including two exponential functions with five shape parameters and a tension parameter. Also, the properties of the basis functions are discussed.
Jagriti Sharma, Mridula Dube, null Jagriti Sharma, null Mridula Dube   +3 more
exaly   +2 more sources

Operator Sine Functions and Exponential Trigonometric Pairs

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kostin, V. A., Kostin, A. V., Kostin, D. V.   +2 more
openaire   +2 more sources