Results 121 to 130 of about 323,104 (323)
Journal of Combinatorial Theory, Series B, 2013 The generating function that records the sizes of directed circuit partitions of a connected 2-in, 2-out digraph D can be determined from the interlacement graph of D with respect to a directed Euler circuit; the same is true of the generating functions for other kinds of circuit partitions. The interlace polynomials of Arratia, Bollob s and Sorkin [J.
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The colored Jones polynomial and the A-polynomial of Knots
Advances in Mathematics, 2006 We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots.
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Mathematical approximator based on basic spline approximation [PDF]
E3S Web of ConferencesThe article considers the problem of constructing a mathematical piecewise linear approximator based on approximation by basis splines. An algorithm has been developed designed to implement a class of special functions and create parallel ...
Turdimatov Mamirjon +5 more
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On the location of the roots of certain types of polynomials [PDF]
, 1922 J. L. Walsh
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Advanced Materials Technologies, EarlyView.A variable stiffness structure with shape morphing and shape memory capabilities made from layered textiles and 3D printing material is developed. Direct printing of cPLA on textile electrodes maximizes the electrodes' contact area. This work presents a new method for achieving variable stiffness in small segments of soft, deformable structures, using ...
Johannes Frey +2 more
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Polynomial interpolation problem for skew polynomials [PDF]
Applicable Analysis and Discrete Mathematics, 2007 Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function of K[x] → K[x] is not possible in a non-commutative case.
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On Shifted Eisenstein Polynomials [PDF]
Periodica Mathematica Hungarica, 69, (2014), 170-181, 2013 We study polynomials with integer coefficients which become Eisenstein polynomials after the additive shift of a variable. We call such polynomials shifted Eisenstein polynomials. We determine an upper bound on the maximum shift that is needed given a shifted Eisenstein polynomial and also provide a lower bound on the density of shifted Eisenstein ...
arxiv
On the expansion of analytic functions in series of polynomials [PDF]
, 1924 J. L. Walsh
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Advanced Materials Technologies, EarlyView.In this work, a methodology is presented for the design, fabrication and characterization of soft–hard interfaces consisting of extremely soft hydrogel biomaterials, and much harder rigid polymeric biomaterials. This approach enables the production of interfaces with performances close to predicted values, with applications in biomaterial fabrication ...
L.B. Kunkels +8 more
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Digraph Polynomials for Counting Cycles and Paths [PDF]
arXiv, 2017 Many polynomial invariants are defined on graphs for encoding the combinatorial information and researching them algebraically. In this paper, we introduce the cycle polynomial and the path polynomial of directed graphs for counting cycles and paths, respectively.
arxiv