Results 41 to 50 of about 293,918 (162)
An extension of Buchberger's criteria for Groebner basis decision
Two fundamental questions in the theory of Groebner bases are decision ("Is a basis G of a polynomial ideal a Groebner basis?") and transformation ("If it is not, how do we transform it into a Groebner basis?") This paper considers the first question. It
Adams +10 more
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An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]
The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
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Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi +2 more
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On topological properties of block shift and hierarchical hypercube networks
Networks play an important role in electrical and electronic engineering. It depends on what area of electrical and electronic engineering, for example there is a lot more abstract mathematics in communication theory and signal processing and networking ...
Guirao Juan Luis García +2 more
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Torus HOMFLY as the Hall-Littlewood Polynomials
We show that the HOMFLY polynomials for torus knots T[m,n] in all fundamental representations are equal to the Hall-Littlewood polynomials in representation which depends on m, and with quantum parameter, which depends on n.
Mironov, A., Morozov, A., Shakirov, Sh.
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Arithmetic combinatorics is often concerned with the problem of controlling the possible range of behaviours of arbitrary finite sets in a group or ring with respect to arithmetic operations such as addition or multiplication. Similarly, combinatorial geometry is often concerned with the problem of controlling the possible range of
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Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng +4 more
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We reveal the analytic relations between a matrix permanent and major nature’s complexities manifested in critical phenomena, fractal structures and chaos, quantum information processes in many-body physics, number-theoretic complexity in ...
Vitaly Kocharovsky +2 more
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An Algebraic Perspective on Multivariate Tight Wavelet Frames. II
Continuing our recent work we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory.
Charina, Maria +3 more
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Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]
This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
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