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...
Mathematics for Engineers III: Vector Calculus This book is part of a four-volume textbook on Engineering Mathematics for undergraduates. Volume III treats vector calculus and differential equations of higher order. The text uses Mathematica as a tool to discuss and to solve examples... G Baumann...
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. In[4]:= Out[4]=
Integral calculus on the space of gauge equivalent connections is developed. Loops, knots, links and graphs feature prominently in this description. The framework is well--suited for quantization of diffeomorphism invariant theories of c... A Ashtekar,J Lewandowski - 《J.c.baez Knots & Quantum ...
Forums Homework Help Calculus and Beyond Homework Help Vector Plots-Direction Field ODE Thread starter pat666 Start date Mar 26, 2011 Tags Field Ode Vector In summary, the Mathematica output accurately represents the given ODE and shows the relationship between the derivatives of y and x. ...
In this paper, we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpointp=1. The holomorphic functional calculus ofLis also shown to ...
We investigate pairs of commuting Foias–Williams/Peller type operators acting on vector-valued weighted Bergman spaces. We prove that a commuting pair of such operators is jointly polynomially bounded if and only if it is similar to a pair of contractions, if and only if both operators are po...
In view of the problem that the generalization ability of traditional data-driven fault diagnosis model declines or even fails in mechanical system diagnosis, a fault diagnosis method based on multi-scale transfer symbolic dynamic entropy and support vector machine is proposed based on the idea of ...
Forums Homework Help Calculus and Beyond Homework Help Linear Algebra Question, Vector Images Thread starter hemsley Start date Dec 13, 2011 Tags Algebra Images Linear Linear algebra Vector In summary, the conversation discusses finding a vector in the domain that maps to a given vector in the...