Results 81 to 90 of about 1,498,288 (136)
The roots of a polynomial depend continuously on its coefficients [PDF]
An elementary proof is given of the continuous dependence of the roots of a polynomial on its ...
Pabst, Carlos, Naulin, Raúl
core
The rigorous sensor model (RSM) provides the mathematical framework for satellite image geometry, establishing the relationship between image pixels and object coordinates.
Pengjie Tao +5 more
doaj +1 more source
Computing the Ehrhart quasi-polynomial of a rational simplex
We present a polynomial time algorithm to compute any fixed number of the highest coefficients of the Ehrhart quasi-polynomial of a rational simplex.
Alexander Barvinok
core
On the Convergence of Polynomial Approximation of Rational Functions
This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation ...
Chen, Falai +2 more
core +1 more source
Modeling corneal surfaces with rational functions for high-speed videokeratoscopy data compression
High-speed videokeratoscopy is an emerging technique that enables study of the corneal surface and tear-film dynamics. Unlike its static predecessor, this new technique results in a very large amount of digital data for which storage needs become ...
Schneider, Martin +2 more
core +1 more source
Design Constraints For Polynomial And Rational Filters
Polynomial and rational filters for image enhancement, edge preserving noise smoothing, and interpolation of encoded images are usually designed as a weighted combination of nonlinear filters having lowpass or highpass behaviour. The choice of the filter
Sabine Kr Oner +2 more
core
Preperiodic points for rational functions defined over a rational function field of characteristic zero [PDF]
Let k be an algebraically closed field of characteristic zero. Let K be the rational function field K=k(t). Let ϕ be a nonisotrivial rational function in K(z).
Canci, Jung Kyu
core
Integer arithmetic determination of polynomial real roots
The real roots of a polynomial with rational coefficients may be evaluated to absolute precision by integer arithmetic. Based upon the theorems of Sturm and Budan, two algorithms for this evaluation are described, and some comparative observations are ...
Reitwiesner, George W.
core +1 more source
Linear homogeneous ordinary differential equations with polynomial coefficients are considered to obtain some properties for the coefficients of power series solutions. The basic aim of the author here is to find all points \({\mathfrak a}\) (ordinary or singular) and all formal power series solutions \(\Sigma c_n(x- {\mathfrak a})^n\) to the given ...
openaire +1 more source
Multi-Tone Testing of Linear and Nonlinear Analog Circuits using Polynomial Coefficients
A method of testing for parametric faults of analog circuits based on a polynomial representation of fault-free function of the circuit is presented. The response of the circuit under test (CUT) is estimated as a polynomial in the applied input voltage ...
Agrawal, Vishwani D +5 more
core +1 more source

