http://vmath.ru/vf5/ 2026-10-13T03:42:32+0300 http://vmath.ru/vf5/ http://vmath.ru/vf5/lib/tpl/vf5/images/favicon.ico text/html 2020-03-11T14:00:22+0300 Anonymous (anonymous@undisclosed.example.com) http://vmath.ru/vf5/matricese/optimize/coulomb_e?rev=1583924422&do=diff Author ---------- Uteshev A.Yu., Yashina M.V. On Maxwell’s Conjecture for Coulomb Potential Generated by Point Charges. Springer. Transactions on Computational Sciences XXVII. Lecture Notes in Computer Science. V.9570, 2016, pp. 68-80. ---------- Example 1. text/html 2020-03-11T14:00:22+0300 Anonymous (anonymous@undisclosed.example.com) http://vmath.ru/vf5/matricese/optimize/coulombe?rev=1583924422&do=diff Author ---------- Uteshev A.Yu., Yashina M.V. On Maxwell’s Conjecture for Coulomb Potential Generated by Point Charges. Springer. Transactions on Computational Sciences XXVII. Lecture Notes in Computer Science. V.9570, 2016, pp. 68-80. ---------- Example 1. text/html 2024-03-09T18:49:15+0300 Anonymous (anonymous@undisclosed.example.com) http://vmath.ru/vf5/matricese/optimize/distancee?rev=1709999355&do=diff Author --- Русская версия ---------- Distance evaluation between geometric objects Hereinafter the distance between $ X=(x_{1},\dots,x_n) $ and $ Y=(y_{1},\dots,y_n) $ from $ \mathbb R_{}^{n} $ is defined as: $$ \sqrt{(x_1-y_1)^2+\dots+(x_n-y_n)^2} \ . $$ Distance from a point to a linear manifold Problem. Find the distance from a point $ X_{0} \in {\mathbb R}^n $ to a linear manifold $ \mathbb M_{} $ in $ {\mathbb R}^{n} $ given by a system of linear equations$$ \left\{ \begin{array}{ccc… text/html 2020-03-11T14:00:22+0300 Anonymous (anonymous@undisclosed.example.com) http://vmath.ru/vf5/matricese/optimize/jcma1?rev=1583924422&do=diff Author ---------- Uteshev A.Yu., Goncharova M.V. Point-to-Ellipse and Point-to-Ellipsoid Distance Equation Analysis. J.Comput. Appl. Math., 2018, Vol. 328, P. 232-251 ---------- Complete expression for the polynomial $ {\mathcal M}_{h}(t) $ (formula (5.24)). $$ {\mathcal M}_{h}(t)= $$ 144*a^8*b^8*(3*a^4+5*a^2*b^2+3*b^4)*(a^4+10*a^2*b^2+b^4)^4*(a-b)^10*(a+b)^10*t^21$ a=18,b=5,h=1 $$$ \mathcal M_1(t) \equiv 144(10649874467269865334496885158502845591680619232730095217766300000000\,t^{21} $$$$…