If a line in 3D is parallel to one of the coordinate planes, then there is no equation of that form that describes the line. Instead,GetRepresentationreturns a sequence of two equations, like this:x4−14=y5−25,z=2. – If a line in 3D is parallel to two of the coordinate planes...
To deal with these problems, we have created a novel way of representing relations: we represent relations by planes instead of by vectors, and this increases by more than 10 % the accuracy of predicting the relation. 展开 会议名称: International Conference on Neural Information Processing ...
6.4Graphics Associated with the Points of N(I) and N(J) Simultaneously Thegraphical representationsofN(I) andN(J) on the same graphic allow the user to interpret each set (IorJ) by the other set (IorJ). The simultaneous representations are given for the factor planes (1, 2) and (1...
One of the reasons for considering framed representations is that they appear naturally in the ADHM construction [2] of solutions of self-dual or antiself-dual Yang-Mills equations on . They are also interesting from the point of view of representation theory of Lie algebras because dimension ...
REPRESENTATION OF THE SCATTERING AMPLITUDES 来自 osti.gov 喜欢 0 阅读量: 13 作者: Nedyalkov 摘要: Approximate integral equations for partial n-K scattering amplitudes are obtained with the help of the double Mandelstam representation in the low energy range. 年份: 1963 ...
In this paper we reconsider a known technique for constructing strong MIP formulations for disjunctive constraints of the form $$x \in \bigcup _{i=1}^m P_i
(Résolution de systèmes bivariés et topologie de courbes planes) In this thesis, we study form theoretical and practical perspectives the problem of solving systems of bivariate polynomials with integer coefficients. More precisely, we investigate the computation of a Rational Univariate Representation ...
The Weierstrass spectrum of a torus immersed into ${\bf R}^3$ is introduced and finite-zone planes as well as finite-zone solutions to the modified Novikov-Veselov equations are constructed.Taimanov, I A关键词:中国 信息技术 软件产业 国际化 ...
Some implementations described herein first compute the color value of the reflected ray separately, and then merge the refracted and pre-intersect ray using the Fresnel Equations (assuming unpolarized light), by combining the radiance of the reflected ray with the last sample prior to the intersecti...
Librational equations of motion when expressed in terms of local coordinates presented in this paper yield a set of rational differential equations devoid of planes of singularity. For a specified level of accuracy in numerical integration, a rational set requires less CPU time than an equivalent ...