Qin, "Vest: abstract vector calculus simplification in mathematica," (2013), Comp. Phys. Comm. (submitted).Squire, J., J. Burby, and H. Qin (2014), VEST: Abstract vector calculus simpli- fication in Mathematica, Computer Physics Communications, 185, 128-135, doi: 10.1016/j.cpc.2013.08....
maple mathematica > with(VectorCalculus); ≪VectorAnalysis‘ > G ≔ xˆ2 * exp(z): G = xˆ2 * Eˆz; > A ≔ Vector([xˆ2,x-y,x*z]): A = {xˆ2, x-y, x*z}; > Laplacian(G); Laplacian[G] 2ez + x2ex 2ez + ezx2 > Laplacian(VectorField(A)); Laplaci...
Teaching linear algebra, analytic geometry and basic vector calculus with mathematica at Riga technical university In the present paper we discuss a new teaching module used at Riga Technical University to teach first year linear algebra, basic vector calculus and analy... V Koliškina,I Volodko...
Mathematica 10 的新功能 › 未激活对象 ›‹ 研究向量微积分恒等式 将向量微积分恒等式应用于未激活形式. 创建一个泛用的梯度和旋度. In[1]:= Out[1]= In[2]:= Out[2]= 任何旋度的散度为零. In[3]:= Out[3]= 任何梯度的旋度为零向量....
Binormal Vector, Contact Angle, Curvature, Frenet Formulas, Multivariable Calculus, Norm, Tangent Vector, Torsion Explore this topic in the MathWorld classroom Explore with Wolfram|AlphaMore things to try: cross product dot product normal vector of a plane ...
Briggs_Calculus_11_Vectors_and_Vector_Valued_Functions_split_2 热度: 计算机知识windows系统:开始--运行--命令大全0421050529第一期 热度: 女孩要富养--杨澜269 热度: 相关推荐MathematicaBohemica JanuszMatkowski Mean-valuetheoremforvector-valuedfunctions MathematicaBohemica,Vol.137(2012),No.4,415--423...
Geometric and Topological Methods for Quantum Field Theory: Paths towards an extension of Chern–Weil calculus to a class of infinite dimensional vector bundles In this paper we prove that a rankr uniform vector bundle on a nonsingular quadricQ with dimQ≥2r+2 is a direct sum of line bundle...
We will use the basic concepts of vector calculus to derive fundamental laws of physics in these subjects. In the attached Problem Set I, you will have a chance to use Mathematica to solve some interesting physical problems that would be difficult or impossible to tackle with pencil and paper...
This chapter is dedicated to the extension of the ordinary differential calculus to general curvilinear coordinates in a Euclidean point space. After defining the metric in general coordinates, the Christoffel symbols are introduced to define the covariant derivative of any tensor field in general ...
Mathematica 9 brings much greater support for vector analysis and tensor algebra operations. These include Div/Grad/Curl, families of coordinate systems in different dimensions, new tensor operations and arrays with arbitrary symmetry. This talk will survey these new features. (video, see link below...