# Rational parametrization

## Top PDF Rational parametrization: ### Detecting when an implicit equation or a rational parametrization defines a conical or cylindrical surface, or a surface of revolution

... a rational parametrization define a surface in the sense of Algebraic Geometry, ...and rational parametrizations defining cylindrical surfaces, conical surfaces or surfaces of ...given ...

12 ### Rational parametrization of conchoids to algebraic curves

... the union of C and finitely many lines. So all components of T are rational, and using a parametrization of each component we determine conditions on the parameter to get double ration[r] ...

24 ### An algorithm to parametrize approximately space curves

... a rational parametrization Q (t) of a plane rational curve D ...suitable rational space curve C ...a rational parametrization of C ...a rational space curve C of the same ...

21 ### Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro Geometric Dimension One

... the rational solvability of au- tonomous algebraic ordinary differential equations is extended from single equa- tions of order 1 to systems of equations of arbitrary order but dimension 1 in the algebro-geometric ...

20 ### Rational conchoid and offset constructions: algorithms and implementation

... The paper is structured as follows. In Section 1 we recall some of the ba- sic definitions and main properties on offsets and conchoids of algebraic plane curves (see , ). We provide algorithms to analyze the ...

12 ### Covering of surfaces parametrized without projective base points

... affine rational surface, parametrized by means of an affine rational parametrization without projec- tive base points, can be covered by at most three parametriza- ...surface parametrization ...

6 ### Covering rational ruled surfaces

... a rational parametrization without projective base points, then it can be covered with at most three ...covering rational ruled ...the parametrization, can make the missing subset ...

16 ### Detecting Symmetries of Rational Plane Curves

... The problem of detecting the symmetries of a curve has been extensively studied mainly because of its applications in Pattern Recognition and Com- puter Graphics. In the first case, a common problem is how to choose, ...

32 ### On the approximate parametrization problem of algebraic curves

... with rational functions. The approximate parametrization problem asks for the computation of an algebraic curve D of genus zero, being in the vicinity of D , as well as a rational ...

5 ### Radical parametrization of algebraic curves and surfaces

... on rational parametrization, in particular in the curve case, but the class of such objects is relatively ...of parametrization of curves and surfaces by ...

5 ### Computing the Singularities of Rational Surfaces

... a rational affine surface, given by means of a rational parametrization (see Section 3 for further ...two rational maps, one depending on the point under analysis and the other the map ...

38 ### Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves

... of rational Hausdorff divisor, we analyze the dimension and irreducibility of its associated linear system of curves, and we prove that all irreducible real curves belonging to the linear system are ...

23 ### Approximate parametrization of plane algebraic curves by linear systems of curves

... In this paper, given a tolerance e > 0 and an e -irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of e -rationality, and we provide an algorith[r] ...

20 ### Rational Unified Process (RUP): Una Aproximación Metodológica

... El diagrama de clases, como artefacto que se construye para describir el modelo de objetos del negocio, describe cómo colaboran los trabajadores y entidades del negocio dentro del fluj[r] ...

180 ### Reelection or term limits? The short and the long view of economic policy

... near rational voters that do not interpret complicated signals, but rather distinguish between “high” and “low” levels of expenditure using a rule of ...near rational, cycles lead to a semi- separating or ...

24 ### Minimal plane valuations

... Recently in , minimal divisorial and irrational valuations (of K centered at R) whose dual graphs are given by a unique positive rational or non-rational real value, and where k = C, have been treated ...

25 ### Rational harnack curves on toric surfaces

... One of the main tools in algebraic geometry is the idea of divisor. This is a generalization of the order of vanishing of zeros of a polynomial, as well as the order of a pole of rational function. For an affine ...

52 ### Rational solutions of the full Kostant Toda equation

... In this paper a commuting hierarchy of flows including the full Kostant-Toda equation is stud- ied. A Mulase’s approach which uses the so-called Borel-Gauss decomposition leads to explicit rational solutions of ...

8 ### Rational decision making in autonomous agents

... ceedings of the Fifth International Conference on Autonomous Agents (Montreal, Canada, May 2001), J. P. M¨ uller, E. Andre, S. Sen, and C. Frasson, Eds., ACM Press, pp. 340—347.  Schut, M., Wooldridge, M., and ...

5 ### A finer grained modeling of rational coalitions using goals

... This goal framework allows for a finer grained modeling of coalitions: Coalitional frame- works, based on Dungs’s abstract argumentation framework, are used to point out conflicts betwee[r] ...

12