Results 61 to 70 of about 887,096 (204)
Regularity of quasi-symbolic and bracket powers of Borel type ideals [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper, we show that the regularity of the q-th quasi-symbolic power I^{((q))} and the regularity of the q-th bracket power I^{[q]} of a monomial ideal of Borel type I, satisfy the relations reg(I^{((q))})\le q reg(I), respectively reg(I^{[q ...
Mircea Cimpoeas
doaj
VERTEX DECOMPOSABILITY AND WEAKLY POLYMATROIDAL IDEALS [PDF]
Journal of Algebraic SystemsLet $K$ be a field and $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$. Let $\Delta$ be a simplicial complex on $n$ vertices and $I=I_{\Delta}$ be its Stanley-Reisner ideal.In this paper, we show that if $I$ is a ...
Amir Mafi, Dler Naderi, HeroHero Saremi
doaj +1 more source
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Computer Graphics Forum, EarlyView.Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
Parallel Vectors Extraction using Bézier Clipping
Computer Graphics Forum, EarlyView.Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
Reverse search for monomial ideals
Journal of Symbolic Computation, 2009 Let \(I\) be a monomial ideal minimally generated by \(x^{\mathbf a_1},\dots, x^{\mathbf a_r}\) in a polynomial ring \(S=k[x_1,\dots, x_n]\) over a field \(k\). For an element \(\mathbf b\) in \(\mathbb N^n\), set \[ K_\mathbf b=\{F\subset\{1,2,\dots,n\}\mid x^{\mathbf b-F}\in I\}, \] where we identify a subset \(F\) of \(\{1,2,\dots,n\}\) with the 0-1
Dave Bayer, Amelia Taylor
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Transversal intersection of monomial ideals [PDF]
Proceedings - Mathematical Sciences, 2019 arXiv admin note: text overlap with arXiv:1611 ...
Saha, Joydip +2 more
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The fiber cone of a monomial ideal in two variables
, 2018 By using Gröbner bases we determine in an explicit way the depth of the fiber cone and its relation ideal for classes of monomial ideals in two variables.
Jürgen Herzog +7 more
core +1 more source
Measure‐valued processes for energy markets
Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
Rocky Mountain Journal of Mathematics, 2009 Given the monomial ideal I=(x_1^{α_1},...,x_{n}^{α_{n}})\subset K[x_1,...,x_{n}] where α_{i} are positive integers and K a field and let J be the integral closure of I . It is a challenging problem to translate the question of the normality of J into a question about the exponent set Γ(J) and the Newton polyhedron NP(J).
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The $j$-multiplicity of monomial ideals [PDF]
Mathematical Research Letters, 2013 We prove a characterization of the j-multiplicity of a monomial ideal as the normalized volume of a polytopal complex. Our result is an extension of Teissier's volume-theoretic interpretation of the Hilbert-Samuel multiplicity for m-primary monomial ideals.
Jeffries, Jack, Montaño, Jonathan
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