Results 221 to 230 of about 84,731 (246)

Cyclotomic Polynomials, Symmetric Polynomials, and a Generalization of Euler's Totient Function

Mathematics Magazine, 2012
We introduce a generalization of Euler's totient function that, when applied to an integer n ≥ 2, can be written as a polynomial in the prime factors of n.
null Julian Freed-Brown, null Matthew Holden, null Michael E. Orrison, null Michael Vrable   +3 more
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Generation of Gray code ordered Walsh functions by symmetric and shift copies

1993 IEEE International Symposium on Circuits and Systems, 2002
A new theoretical formulation of Gray code ordered Walsh functions by symmetric and shift copies is presented. The formulation is based on different operations on matrices together with some symmetry features of Gray code ordered Walsh functions. The method by which the Walsh functions are ordered is determined mainly by convenience.
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Using Gram matrices and residues to generate symmetric functions

2012
In this paper we argue for the use of a symmetric bilinear map S on Qn+1 as a means of producing and manipulating symmetric functions; using certain vectors of rational functions we can produce Schur functions. We define S as the determinant of a specific Gram matrix, whose elements are the result of an antisymmetric bilinear map on Q as well as a ...
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The role of m6A modification in the biological functions and diseases

Signal Transduction and Targeted Therapy, 2021
Baiyang Liu, Cui-Ping Yang
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly  

The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly  

The regulation and functions of DNA and RNA G-quadruplexes

Nature Reviews Molecular Cell Biology, 2020
Jochen Spiegel, Katherine G Zyner, David Tannahill   +2 more
exaly  

Global view of human protein glycosylation pathways and functions

Nature Reviews Molecular Cell Biology, 2020
Katrine T Schjoldager, Yoshiki Narimatsu, Hiren J Joshi   +2 more
exaly  

Biological properties of extracellular vesicles and their physiological functions

Journal of Extracellular Vesicles, 2015
Francesco Cappello, Eva Colas, Stefano Fais   +2 more
exaly  

Supramolecular Helical Systems: Helical Assemblies of Small Molecules, Foldamers, and Polymers with Chiral Amplification and Their Functions

Chemical Reviews, 2016
Eiji Yashima, Naoki Ousaka, Daisuke Taura   +2 more
exaly