Results 31 to 40 of about 8,787,339 (256)

Contributions to the essential dimension of finite and algebraic groups [PDF]

open access: yes, 2010
Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
core   +1 more source

A generic operational metatheory for algebraic effects [PDF]

open access: yes, 2010
We provide a syntactic analysis of contextual preorder and equivalence for a polymorphic programming language with effects. Our approach applies uniformly across a range of algebraic effects, and incorporates, as instances: errors, input/output, global ...
Simpson, Alex   +2 more
core   +4 more sources

Rooting out letters: octagonal symbol alphabets and algebraic number theory

open access: yesJournal of High Energy Physics, 2020
It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Re-
Jacob L. Bourjaily   +5 more
doaj   +1 more source

A short history of algebraic statistics [PDF]

open access: yes, 2008
In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
core   +1 more source

Experimental study and modelling of abrasive water jet cutting of aluminum alloy 2024 [PDF]

open access: yesJournal of Engineering Science and Military Technologies, 2019
Block ciphers cryptanalysis is serious challenge specially with the existing of the powerful block ciphers that require massive number of plaintext-ciphertext pairs to perform a successful attack. Algebraic attack is superior among different attack types
Tawfik El Midany   +3 more
doaj   +1 more source

Some Properties of Euler’s Function and of the Function τ and Their Generalizations in Algebraic Number Fields

open access: yesMathematics, 2021
In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
doaj   +1 more source

Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis [PDF]

open access: yesJournal of Engineering Science and Military Technologies, 2019
Block ciphers cryptanalysis is serious challenge specially with the existing of the powerful block ciphers that require massive number of plaintext-ciphertext pairs to perform a successful attack. Algebraic attack is superior among different attack types
Mostafa Abdelwahab   +2 more
doaj   +1 more source

Etale and crystalline companions, I [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
Let $X$ be a smooth scheme over a finite field of characteristic $p$. Consider the coefficient objects of locally constant rank on $X$ in $\ell$-adic Weil cohomology: these are lisse Weil sheaves in \'etale cohomology when $\ell \neq p$, and ...
Kiran S. Kedlaya
doaj   +1 more source

Relative integral basis for algebraic number fields

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(​m3).
Mohmood Haghighi
doaj   +1 more source

Units in families of totally complex algebraic number fields

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number ...
L. Ya. Vulakh
doaj   +1 more source

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