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Zeta functions and normalized multiple sine functions [PDF]
By using normalized multiple sine functions we show expressions for special values of zeta functions and L-functions containing ζ(3), ζ(5), etc. Our result reveals the importance of division values of normalized multiple sine functions. Properties of multiple Hurwitz zeta functions are crucial for the proof.
Koyama, Shin-ya, Kurokawa, Nobushige
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To improve high motion accuracy and efficiency in the high-speed operation of a 4-DOF (4 degrees of freedom) redundant parallel robot, this paper introduces a trajectory planning of the parallel robot in joint space based on the twelve-phase sine jerk ...
Shengqiao Hu +5 more
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Renormalization of the Periodic Scalar Field Theory by Polchinski's Renormalization Group Method [PDF]
The renormalization group (RG) flow for the two-dimensional sine-Gordon model is determined by means of Polchinski's RG equation at next-to-leading order in the derivative expansion.
Jentschura, U. D. +3 more
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Renormalization of the bilocal sine-Gordon model [PDF]
The functional renormalization group treatment is presented for the two-dimensional sine-Gordon model by including a bilocal term in the potential, which contributes to the flow at tree level.
Nagy, S., Steib, I.
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Normalized double sine functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurokawa, Nobushige, Koyama, Shin-ya
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Circuit operates as sine function generator [PDF]
Electronic circuit drives sine function generator using square wave and sawtooth sweep generators.
Bogart, T., Jr.
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In Deep Neural Networks (DNNs), several architectures had been proposed for the various complex tasks such as Machine Translation, Natural Language processing and time series forecasting.
Vijayaprabakaran K., Sathiyamurthy K.
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Universality for conditional measures of the sine point process
The sine process is a rigid point process on the real line, which means that for almost all configurations $X$, the number of points in an interval $I = [-R,R]$ is determined by the points of $X$ outside of $I$.
Kuijlaars, Arno B. J. +1 more
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A Cluster Expansion for Dipole Gases
We give a new proof of the well-known upper bound on the correlation function of a gas of non-overlapping dipoles of fixed length and discrete orientation working directly in the charge representation, instead of the more usual sine-Gordon representation.
Frohlich +3 more
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The Cosine-Sine Functional Equation on Semigroups [PDF]
Abstract The primary object of study is the “cosine-sine” functional equation f(xy) = f(x)g(y)+g(x)f(y)+h(x)h(y) for unknown functions f, g, h : S → ℂ, where S is a semigroup. The name refers to the fact that it contains both the sine and cosine addition laws.
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