Results 51 to 60 of about 494,087 (171)
Primitive elements and one relation algebras [PDF]
Let F be a free algebra in a variety V. An element p of F is called primitive if it is contained in some free generating set for F. In 1936, J. H. C. Whitehead proved that a group with generators g 1 , … , g n ...
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Homo naledi, a new species of the genus Homo from the Dinaledi Chamber, South Africa
Homo naledi is a previously-unknown species of extinct hominin discovered within the Dinaledi Chamber of the Rising Star cave system, Cradle of Humankind, South Africa.
Lee R Berger +46 more
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Computing primitive elements of extension fields
So-called ``trial methods'' for finding primitive elements and the corresponding minimal polynomials of finitely generated algebraic extensions of \({\mathbb{Q}}\) have been presented by \textit{B. M. Trager} [Symbolic and algebraic computation, Proc. ACM Symp. 1976, Yorktown Heights/N.Y., 219-226 (1976; Zbl 0498.12005)] and \textit{R.
Kazuhiro Yokoyama +2 more
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Unipotency of Matrix Group Generated by Two Matrices
In this paper, the problem of unipotency for the matrix group generated by two matrices is examined. By employing matrix logarithms as a tool, various combinatorial formulas for matrices were derived by selecting different primitive elements.
Yanshuo Cheng, Xinsong Yang
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In order to meet the higher requirements of energy-absorbing structures in the lightweight automobile design, the mechanical design and impact energy absorption of porous TPMS structures are studied. Eight kinds of porous TPMS structure elements, Gyroid,
Xuejin Zhao +3 more
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Sets of primitive elements in a free group
Let \(F_n\) be the free group on \(n\) generators and \(X=\{x_1,\dots,x_{n}\}\) a standard basis for \(F_n\). A set \(U=\{u_1,u_2,\dots,u_m\}\), \(m\leq n\), is called a primitive set in \(F_n\) if it can be extended to a basis of \(F_n\). In this paper the authors study primitive sets from three classical viewpoints. 1.
Clifford, A., Goldstein, R.Z.
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Image Encryption Based on a Coined Chaotic System and High-Intensity Encryption Primitives
Security and efficiency are two major themes of image encryption algorithm. To enhance the security together with improving the operational efficiency, this paper proposes an image encryption algorithm based on a novel chaos and high-strength encryption ...
Guanghui Cao +3 more
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Accurate Elements and Super-Primitive Elements over Rings
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Onoda, Nobuharu +2 more
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Let \(k\) be a field of characteristic different from 2 and \(F\) a free algebra in a Schreier variety \(V\) of nonassociative \(k\)-algebras defined by a set of homogeneous identities. An element \(v\in F\) is primitive if \(v\) can be included into some set of generators of \(F\). Let \(F\) have two free generators and \(u\in F\setminus 0\).
Yu, JT, Mikhalev, AA
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Direct Time-Domain TAN Model of 3D Multilayer Hybrid PCB: Experimental Validation
The multilayer technology constitutes the ultimate solution for the design of high-density printed circuit board (PCB). Challenging modeling method is required to predict the signal integrity (SI) of the multilayer PCB. This paper addresses an unfamiliar
Z. Xu +5 more
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