Results 71 to 80 of about 293,918 (162)

A Theory of Functional Connections-Based hp-Adaptive Mesh Refinement Algorithm for Solving Hypersensitive Two-Point Boundary-Value Problems

Mathematics
This manuscript introduces the first hp-adaptive mesh refinement algorithm for the Theory of Functional Connections (TFC) to solve hypersensitive two-point boundary-value problems (TPBVPs).
Kristofer Drozd, Roberto Furfaro, Andrea D’Ambrosio   +2 more
doaj   +1 more source

Low-degree tests at large distances

, 2006
We define tests of boolean functions which distinguish between linear (or quadratic) polynomials, and functions which are very far, in an appropriate sense, from these polynomials. The tests have optimal or nearly optimal trade-offs between soundness and
Samorodnitsky, Alex
core   +1 more source

A Note on Multi-Index Mittag-Leffler Functions and Parametric Laguerre-Type Exponentials

Axioms
This paper explores the eigenfunctions of specific Laguerre-type parametric operators to develop multi-parametric models, which are associated with a class of the generalized Mittag-Leffler type functions, for dynamical systems and population dynamics ...
Hari Mohan Srivastava, Diego Caratelli, Paolo Emilio Ricci   +2 more
doaj   +1 more source

Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^†

Mathematics
This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj   +1 more source

Limit cycles for discontinuous generalized Lienard polynomial differential equations

Electronic Journal of Differential Equations, 2013
We divide $\mathbb{R}^2$ into sectors $S_1,\dots ,S_l$, with $l>1$ even, and define a discontinuous differential system such that in each sector, we have a smooth generalized Lienard polynomial differential equation $\ddot{x}+f_i(x)\dot{x} +g_i(x)=0$,
Jaume Llibre, Ana Cristina Mereu
doaj  

New Tools for Tuning PID Controllers Using Orthogonal Polynomials

IEEE Access
This paper presents an algorithm to determine PID controller tuning regions that guarantee the stability of closed-loop control systems using the pole placement method, assigning a known robustly stable polynomial that depends on a vector of uncertain ...
Alejandro Arceo, Luis E. Garza, Gerardo Romero, Jose Luis Valdez   +3 more
doaj   +1 more source

Strong Normality, Modular Normality, and Flat Polynomials: Applications of Probability in Number Theory and Analysis

, 2013
We use probabilistic methods, along with other techniques, to address three topics in number theory and analysis. Champernowne's number is well known to be normal, but the digits are highly patterned. The definition of normality reflects the convergence in frequency of the digits of a random number, but the behaviour of the discrepancy is better ...
openaire   +1 more source

Trigonometric polynomials in prime number theory

Illinois Journal of Mathematics, 1966
openaire   +3 more sources

Moments of derivatives of quadratic Dirichlet <i>L</i>-functions with prime conductor. [PDF]

Res Number Theory
Best CG.
europepmc   +1 more source

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

Adv Appl Clifford Algebr
Thimm DA, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source