Results 11 to 20 of about 13,221 (124)
Asymptotic Frame Fields of Rational Bézier Curves
Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
doaj +1 more source
On Degenerate Truncated Special Polynomials
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj +1 more source
Frequency Stability-Constrained Unit Commitment: Tight Approximation Using Bernstein Polynomials [PDF]
As we replace conventional synchronous generators with renewable energy, the frequency security of power systems is at higher risk. This calls for a more careful consideration of unit commitment (UC) and primary frequency response (PFR) reserves.
Bo Zhou, Ruiwei Jiang, Siqian Shen
semanticscholar +1 more source
Approximation and geometric modeling with simplex B-splines associated with irregular triangles [PDF]
Bivariate quadratic simplical B-splines defined by their corresponding set of knots derived from a (suboptimal) constrained Delaunay triangulation of the domain are employed to obtain a C1-smooth surface.
Auerbach, S. +4 more
core +3 more sources
Asymptotic zero distribution of random orthogonal polynomials [PDF]
We consider random polynomials of the form $H_n(z)=\sum_{j=0}^n\xi_jq_j(z)$ where the $\{\xi_j\}$ are i.i.d non-degenerate complex random variables, and the $\{q_j(z)\}$ are orthonormal polynomials with respect to a compactly supported measure $\tau ...
T. Bloom, Duncan Dauvergne
semanticscholar +1 more source
On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials
In this paper, we introduce both the generalized degenerate Gould-Hopper based degenerate Stirling polynomials of the second kind and the generalized degenerate Gould-Hopper based fully degenerate Bell polynomials.
U. Duran, M. Acikgoz
semanticscholar +1 more source
A potential theoretic minimax problem on the torus [PDF]
We investigate an extension of an equilibrium-type result, conjectured by Ambrus, Ball and Erd\'elyi, and proved recently by Hardin, Kendall and Saff.
Farkas, Bálint +2 more
core +5 more sources
Symmetries of the Simply-Laced Quantum Connections and Quantisation of Quiver Varieties [PDF]
We will exhibit a group of symmetries of the simply-laced quantum connections, generalising the quantum/Howe duality relating KZ and the Casimir connection.
Rembado, Gabriele
core +5 more sources
Generalized Gould-Hopper Based Fully Degenerate Central Bell Polynomials
In this paper, we first provide the generalized degenerate Gould-Hopper polynomials via the degenerate exponential functions and then give various relations and formulas such as addition formula and explicit identity.
U. Duran, M. Acikgoz
semanticscholar +1 more source
Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys ...
Anandaram Mandyam N
semanticscholar +1 more source

