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A proof of Thurston's topological characterization of rational functions
Thurston's topological characterization rational functions
2015/8/26
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
AN EVALUATION OF RATIONAL FUNCTIONS FOR PHOTOGRAMMETRIC RESTITUTION
Rational functions sensor models polynomials orientation error propagation mathematical models image transfer
2014/12/31
This paper addresses the questions of whether rational functions are suitable for photogrammetric restitution. With the increasing number, and greater complexity of sensors becoming available, and the...
On the Structure of Compatible Rational Functions
Compatibility conditions compatible rational functions hyperexponential function (q-)hypergeometric term
2013/9/3
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We pres...
J.Ritt [1] has investigated the structure of complex polynomials with respect to superposition.
The polynomial P(x) is said to be indecomposable iff the representation P = P1 ◦ P2 means that
e...
Hilbert series of PI relatively free G-graded algebras are rational functions
free G-graded algebras rational functions
2010/11/19
Let G be a finite group, (g_{1},...,g_{r}) an (unordered) r-tuple of G^{(r)} and x_{i,g_i}'s variables that correspond to the g_i's, i=1,...,r. Let F be the corresponding free...
Complexity of Creative Telescoping for Bivariate Rational Functions
Hermite reduction creative telescoping
2013/9/3
The long-term goal initiated in this work is to obtain fast algorithms and implementations for definite integration in Almkvist and Zeilberger’s framework of (differential) creative telescoping. Our c...
INTRODUCTION.Itisthepurposeofthispapertopresentsomeresults,ontheproblemofinterpolationandapproximationtoafunctiouf(z),analyticonaclosedlimitedpointsetEinthecomplexz-planewhosecomplementKisconnectedand...
On the Gosper-Petkovsek Representation of Rational Functions
Gosper's algorithm GP representation q-Gosper's algorithm q-GP repre- sentation hypergeometric term
2014/6/3
We show that the uniqueness of the Gosper-Petkov·sek representation of rational func- tions can be utilized to give a simpler version of Gosper's algorithm. This approach also applies to Petkov·sek's ...