Results 51 to 60 of about 1,468,677 (198)
A fresh class of hybrid special polynomials, termed the Bell-enriched Appell-lambda-polynomials, is constructed through the discrete convolution of Bell-based lambda-polynomials with the Appell sequence.
Farukh Ahmed Mulani +2 more
doaj +1 more source
Polynomial‐shaped electrodes for adaptive X‐ray optics
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
wiley +1 more source
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
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
A Note on Truncated Exponential-Based Appell Polynomials via Fractional Operators
In this work, we construct a new class of Appell-type polynomials generated through extended truncated and truncated exponential kernels, and we analyze their core algebraic and operational features.
Waseem Ahmad Khan +4 more
doaj +1 more source
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
On certain non-linear differential monomial sharing non-zero polynomial
UDC 517.5 With the idea of normal family we study the uniqueness of meromorphic functions and when and share two values, where and is a polynomial. The obtained result significantly improves and generalizes the result in [A. Banerjee, S. Majumder, <em>On certain non-linear differential polynomial sharing a non-zero polynomial</em> ...
S. Majumder, A. Dam
openaire +1 more source
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
A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method
The element-free Galerkin (EFG) method is one of the widely used meshfree methods for solving partial differential equations. In the EFG method, shape functions are derived from a moving least-squares (MLS) approximation, which involves the inversion of ...
Yang Cao, Jun-Liang Dong, Lin-Quan Yao
doaj +1 more source
Random Turán Problems for Hypergraph Expansions
ABSTRACT Given an r0$$ {r}_0 $$‐uniform hypergraph F$$ F $$, we define its r$$ r $$‐uniform expansion F(r)$$ {F}^{(r)} $$ to be the hypergraph obtained from F$$ F $$ by inserting r−r0$$ r-{r}_0 $$ distinct vertices into each edge of F$$ F $$, and we define ex(Gn,pr,F(r))$$ \mathrm{ex}\left({G}_{n,p}^r,{F}^{(r)}\right) $$ to be the largest F(r)$$ {F ...
Jiaxi Nie, Sam Spiro
wiley +1 more source
Differential cumulants, hierachical models and monomial ideals
For a joint probability density function f(x) of a random vector X the mixed partial derivatives of log f(x) can be interpreted as limiting cumulants in an infinitesimally small open neighborhood around x. Moreover, setting them to zero everywhere gives independence and conditional independence conditions.
Bruynooghe, Daniel, Wynn, Henry P.
openaire +2 more sources

