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ELEMENTS: A high-order finite element library in C++
SoftwareX, 2019 We discuss the creation and implementation of a generalized library, named ELEMENTS, of mathematical functions for supporting a very broad range of element types including: linear, quadratic, and cubic serendipity elements in 2D and 3D; high-order ...
Jacob L. Moore +2 more
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Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements [PDF]
International Journal of Group Theory, 2022 Let $G$ be a group and $\omega(G)=\{o(g)|g\in G\}$ be the set of element orders of $G$. Let $k\in\omega(G)$ and $s_{k}=|\{g\in G|o(g)=k\}|$. Let $nse(G)=\{s_{k}|k\in\omega(G)\}.$ In this paper, we prove that if $G$ is a group and $G_{2}(5)$ is the ...
Maryam Jahandideh +1 more
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Sums of element orders in groups of odd order [PDF]
International Journal of Algebra and Computation, 2021 For a finite group [Formula: see text], let [Formula: see text] denote the sum of element orders of [Formula: see text]. If [Formula: see text] is a positive integer let [Formula: see text] be the cyclic group of order [Formula: see text]. It is known that [Formula: see text] is the maximum value of [Formula: see text] on the set of groups of order ...
Herzog M, Longobardi P., Maj M.
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Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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Selectable Fractional-order Controller for Industrial Control Designs [PDF]
E3S Web of Conferences, 2023 Differential Equation (DE) of fractional-order specifically gives clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing fractional-order’s concept might be results to take us closer ...
Walia Mandeep Singh +2 more
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The recognition of finite simple groups with no elements of order 10 by their element orders
International Journal of Group Theory, 2022 Summary: The spectrum of a finite group is the set of its element orders. \(H\) is said to be a finite cover of \(G\) if \(G\) is a homomorphic image of \(H\) and \(H\) is finite. The main aim of this article is to characterize the finite simple groups with no elements of order 10 by its spectrum among covers.
He, Huaiyu, Shi, Wujie
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Second order cumulants: Second order even elements and $R$-diagonal elements
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2023 We introduce R -diagonal and even operators of second order. We give a formula for the second order free cumulants of the square x^2 of a second order even element in terms of the second order free cumulants of
Octavio Arizmendi, James A. Mingo
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On Systematic Design of Fractional-Order Element Series
Sensors, 2021 In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring ...
Jaroslav Koton +3 more
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Sensors, 2023 Current MEMS (Micro Electro Mechanical Systems) can be modeled by state-dependent elements that exhibit hysteretic behavior. Examples include capacitors and inductors whose capacitances and inductances are dependent on the instantaneous state of the ...
Zdeněk Biolek +3 more
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Privacy virtualisation as an element of the new gender order
Цифровая социология, 2022 The article is analysed the privacy virtualisation phenomenon, which has become a trend in the digital world. Considering virtual communication practices in the context of global sociality transformations, the author shows that their impact on gender ...
A. V. Shvetsova
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