Results 41 to 50 of about 1,508,171 (301)

Stability Criteria for Regular Matrix Polynomials via Taylor Coefficients

open access: yesMathematics
This paper presents criteria for Hurwitz stability and quasi-stability of regular matrix polynomials with possibly singular leading coefficients, for application to the stability analysis of differential-algebraic systems. The proposed framework involves
Xuzhou Zhan, Xiang Gao, Yongjian Hu
doaj   +1 more source

Means and Averages of Taylor Polynomials

open access: yesJournal of Mathematical Analysis and Applications, 1993
Let \(f\) have a continuous \((r+ 1)\)st derivative, nowhere 0 on \([a,b]\) and \(P_ c\) its Taylor polynomial at \(c\). Noting that \(P_ a(M)= P_ b(M)\), if \(r\) is odd, and \(2f(M)= P_ a(M)+ P_ b(M)\), if \(r\) is even, have unique solutions, the author denotes these by \(M^ r_ p\) if \(f(x)= x^ p\) (creating some confusion with his previous ...
openaire   +1 more source

Controlling the Center of Mass Motion of Levitated Particles Using Structured Wavefronts

open access: yesLaser &Photonics Reviews, EarlyView.
Optically levitated particles have great potential for quantum‐enhanced sensing. Precise control of the trapping beam is crucial to improve the stability and confinement of these systems. Here, we study how structured wavefronts can be used to control the center‐of‐mass motion of levitated particles, enhancing trap stiffness and enabling stable ...
Shah Jee Rahman   +7 more
wiley   +1 more source

Taylor Magazine (Fall 1993) [PDF]

open access: yes, 1993
The Fall 1993 edition of Taylor Magazine, published by Taylor University in Upland, Indiana.https://pillars.taylor.edu/tu_magazines/1082/thumbnail ...
Taylor University
core   +1 more source

Developing a Series Solution Method of -Difference Equations

open access: yesJournal of Applied Mathematics, 2013
The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference ...
Hsuan-Ku Liu
doaj   +1 more source

A method for increasing the order of approximation to an arbitrary natural number by the numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations of various degrees with variable coefficients by the matrix method

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Taylor Times: May 1, 1998

open access: yes, 1998
William Taylor Foundation studies feasibility of retirement facility in Upland – Tour educational experience for Taylor Ringers – From the Office of the President – Heavenly Calling – Taylor receives funds for new building project on Fort Wayne campus ...
Taylor University
core   +1 more source

Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials

open access: yesArab Journal of Basic and Applied Sciences
Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors.
G. Saravanan   +4 more
doaj   +1 more source

Taylor University Profile (September 1984) [PDF]

open access: yes, 1984
1984 Football Schedule – Library construction underway – Odle receives national award – Students involved in world missions – Former TSO President earns national award – Coming Events – Taylor gains computer endorsement - a first – Taylor Club Meetings ...
Taylor University
core  

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