Results 21 to 30 of about 572,993 (300)
Iterating the Sum of Möbius Divisor Function and Euler Totient Function
In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Möbius divisor functions and Euler totient function when they are iterated.
Daeyeoul Kim +2 more
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Some identities related to degenerate r-Bell and degenerate Fubini polynomials
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
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Evaluating the Comprehension of Euler Diagrams [PDF]
We describe an empirical investigation into layout criteria that can help with the comprehension of Euler diagrams. Euler diagrams are used to represent set inclusion in applications such as teaching set theory, database querying, software engineering ...
Benoy, Florence +3 more
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The master robot carries a current which is modeled as the sum of a classical current Jmc(t,r) and a quantum fluctuation current described by the Dirac field ψm(t,r) of electrons and positrons.
Rohit Singla, Harish Parthasarathy
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Drawing Euler Diagrams with Circles [PDF]
Euler diagrams are a popular and intuitive visualization tool which are used in a wide variety of application areas, including biological and medical data analysis.
Howse, John +7 more
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Novel Fractional order Integrators Using Traditional Rules Interpolation
This work proposes a new IIR integer order digital, so a new IIR fractional order integrators. The followed method includes two stages. First, the integer order integrator is obtained by interpolating well-known integration rulesnamely, Euler, bilinear ...
Chafia MEKHNACHE +2 more
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Several generalizations on Wolstenholme Theorem [PDF]
This paper generalizes Wolstenholme theorem on two aspects. The first generalization is a parameterized form: let p > k + 2, k ≥ 1, ∀t ∈ ℤ, then ${{(pt + p - 1)!} \over {(pt)!}}\mathop \sum \limits_{m = 0}^{k - 1} {( - 1)^m}\mathop \sum \limits_{1 \le {
Zhu Yuyang +3 more
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Automatically Drawing Euler Diagrams with Circles [PDF]
Euler diagrams are used for visualizing categorized data. These categories, together with information about when categories share some datum, can be turned into a succinct diagram description from which an Euler diagram can be generated.
Howse, John +3 more
core +1 more source
Fundamental groups and Euler characteristics of sphere-like digital images
The current paper focuses on fundamental groups and Euler characteristics of various digital models of the 2-dimensional sphere. For all models that we consider, we show that the fundamental groups are trivial, and compute the Euler characteristics ...
Laurence Boxer, P. Christopher Staecker
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A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series
In this paper, by constructing proper weight coefficients and utilizing the Euler-Maclaurin summation formula and the Abel partial summation formula, we establish reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series.
Bicheng Yang, Shanhe Wu, Xingshou Huang
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