Results 81 to 90 of about 37,190 (197)
Hardware iplementation of generic CORDIC algorithm on FPGA
Trigonometric, exponential, logarithmic, hyperbolic and several other mathematical functions, are frequently used in hardware implementation applications.
Suhap Şavaş, Burcu Kır Savaş
doaj +1 more source
Two dimensional symmetric and antisymmetric generalizations of sine functions
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described.
Britanak V. +6 more
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Abstract Function approximation plays a crucial role in applied mathematics and mathematical physics, involving tasks such as interpolation, extrapolation, and studying asymptotic properties. Over the past two centuries, several approximation methods have been developed, but no universal solution has emerged.
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ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Limits of elliptic hypergeometric integrals
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
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Some exponential and trigonometric integrals involving the log gamma function
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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Loss Behavior in Supervised Learning With Entangled States
Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
Some implications of a new definition of the exponential function on time scales
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
Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions [PDF]
It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula ...
openaire +3 more sources
Gaussian Subordination for the Beurling-Selberg Extremal Problem [PDF]
We determine extremal entire functions for the problem of majorizing, minorizing, and approximating the Gaussian function $e^{-\pi\lambda x^2}$ by entire functions of exponential type.
Carneiro, Emanuel +2 more
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