Results 31 to 40 of about 15,204 (313)
MathematicsThe rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
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Advanced Theory and Simulations, EarlyView.Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma +7 more
wiley +1 more source
A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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Valuations on Structures More General Than Fields
Computer Sciences & Mathematics Forum, 2023 Valuation theory is an important area of investigation in algebra, with applications in algebraic geometry and number theory. In 1957, M. Krasner introduced hyperfields, which are field-like objects with a multivalued addition, to describe some ...
Alessandro Linzi
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
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On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
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Another formulation of the Wick’s theorem. Farewell, pairing?
Special Matrices, 2015 The algebraic formulation of Wick’s theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov Igor V.
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The Square-Zero Basis of Matrix Lie Algebras
Mathematics, 2020 A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz +3 more
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Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
Advanced Science, EarlyView.The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
Algebraic leaves of algebraic foliations over number fields [PDF]
Publications mathématiques de l'IHÉS, 2001 This paper proves an algebraicity criterion for leaves of algebraic foliations over number fields. Let \(K\) be a number field embedded in \(\mathbb C\), let \(X\) be a smooth algebraic variety over \(K\) (i.e., an integral separated scheme of finite type over \(K\)), and let \(F\) be an algebraic subbundle of the tangent bundle \(T_X\). We assume that
openaire +2 more sources