Results 61 to 70 of about 237,348 (199)
Parallel Vectors Extraction using Bézier Clipping
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
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
openaire +2 more sources
Regularity of quasi-symbolic and bracket powers of Borel type ideals [PDF]
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
Measure‐valued processes for energy markets
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
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).
openaire +4 more sources
The $j$-multiplicity of monomial ideals [PDF]
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
openaire +2 more sources
An algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2
We give an algorithm to compute primary decomposition of monomial ideals equigenerated in degree 2 and establish connections with minimal vertex covers of a simple graph. We also describe an implementation in C++ of the algorithm.
Giancarlo Rinaldo
doaj +1 more source
On Characteristic Poset and Stanley Decomposition
Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets PI/Jg$P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then I/J˜$\widetilde{I/J}$ is also a Stanley ideal, where I/J˜$\widetilde{I/J}$ is the ...
Ahmad Sarfraz +2 more
doaj +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source
Monomial Ideals of Graphs with Loops [PDF]
Abstract We investigate, using the notion of linear quotients, significative classes of connected graphs whose monomial edge ideals, not necessarily squarefree, have linear resolution, in order to compute standard algebraic invariants of the polynomial ring related to these graphs modulo such ideals.
IMBESI, Maurizio, LA BARBIERA, MONICA
openaire +4 more sources

