Results 21 to 30 of about 52,649 (219)
Rooting out letters: octagonal symbol alphabets and algebraic number theory
Journal 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
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Experimental study and modelling of abrasive water jet cutting of aluminum alloy 2024 [PDF]
Journal 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
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Extracting algebraic equations of the 2-key simplified 3-DES for algebraic cryptanalysis [PDF]
Journal 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
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Mathematics, 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
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An analogue of Bauer’s theorem for closed orbits of skew products [PDF]
, 2008 In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott +3 more
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Relative integral basis for algebraic number fields
International 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
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]
, 2009 Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
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Units in families of totally complex algebraic number fields
International 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
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Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
Mathematics, 2020 In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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Developing Number Sense: An Approach to Initiate Algebraic Thinking in Primary Education
Mathematics, 2021 Traditionally, the teaching and learning of algebra has been addressed at the beginning of secondary education with a methodological approach that broke traumatically into a mathematical universe until now represented by numbers, with bad consequences ...
Natividad Adamuz-Povedano +3 more
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