Results 161 to 170 of about 40,823 (186)
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Complex multi-affine polynomials and invariant circles
Journal of Mathematical Analysis and Applications, 2023This is a very interesting paper that extends the researches of B. and H. Sendov and J. Xiao, on the loci of the zeros of polynomials [\textit{B. Sendov} and \textit{H. Sendov}, Trans. Am. Math. Soc. 366, No. 10, 5155--5184 (2014; Zbl 1298.30005); \textit{B. Sendov} and \textit{H. Sendov}, Math. Proc. Camb. Philos. Soc. 159, No.
Sendov, Hristo, Xiao, Junquan
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International Journal of Control, 2015
The main goal of this paper is to compute a class of polynomial vector fields, whose associated dynamical system has a given affine variety as attractive and invariant set, a given point in such an affine variety as invariant and attractive and another given affine variety as invariant set, solving the application of this technique in the robotic area.
Possieri, Corrado, Tornambè, Antonio
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The main goal of this paper is to compute a class of polynomial vector fields, whose associated dynamical system has a given affine variety as attractive and invariant set, a given point in such an affine variety as invariant and attractive and another given affine variety as invariant set, solving the application of this technique in the robotic area.
Possieri, Corrado, Tornambè, Antonio
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53rd IEEE Conference on Decision and Control, 2014
The main objective of this paper is to describe a class of polynomial vector fields f, whose associated dynamic system has one or more affine varieties as f-invariant and attractive sets. This result can be used for robot motion planning, thus computing robot paths, avoiding collisions with obstacles and reaching a target point.
Possieri, Corrado, Tornambe, Antonio
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The main objective of this paper is to describe a class of polynomial vector fields f, whose associated dynamic system has one or more affine varieties as f-invariant and attractive sets. This result can be used for robot motion planning, thus computing robot paths, avoiding collisions with obstacles and reaching a target point.
Possieri, Corrado, Tornambe, Antonio
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The affine index polynomial invariant of flat virtual knots
Journal of Knot Theory and Its Ramifications, 2014We define the affine index polynomial of a flat virtual knot in a similar way as the case of a virtual knot, and show that it is described by the affine index polynomial of any overlying virtual knot. Let K be a virtual knot, and F the underlying flat virtual knot of K.
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An affine index polynomial invariant and the forbidden move of virtual knots
Journal of Knot Theory and Its Ramifications, 2016Kauffman defines an affine index polynomial invariant for virtual knots. The invariant is induced from a numerical invariant called an [Formula: see text]-writhe. In this paper, we provide the difference of the values obtained from invariants between two virtual knots which can be transformed into each other by a single forbidden move. As a result, we
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Coninvolutory matrices, multi-affine polynomials, and invariant circles
Linear and Multilinear Algebra, 2022Hristo Sendov, Junquan Xiao
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On the Geometry of Multi-affine Polynomials: Invariant Circles and Circular Solutions
Computational Methods and Function TheoryHristo Sendov, Junquan Xiao
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Jensen polynomials for the Riemann zeta function and other sequences
Proceedings of the National Academy of Sciences of the United States of America, 2019Larry G Rolen
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Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind
Applied Mathematics and Computation, 2011Qiu-Ming Luo
exaly
Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011Satoru Odake
exaly