When I have a function z = f(x, y), i. e., a function of various variables, the differential form of z is: [tex]dz = \frac{\partial f}{\partial x} dx + \frac{\partial f}{\partial y} dy[/tex] or the derivative of z is: [tex]\frac{dz}{dt} = \frac{\partial f}{...
Integrand, specified as a function handle, which defines the function to be integrated fromxmintoxmax. For scalar-valued problems, the functiony = fun(x)must accept a vector argument,x, and return a vector result,y. This generally means thatfunmust use array operators instead of matrix operat...
integral calculus- the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc. math,mathematics,maths- a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement ...
vector3<> elecMoment; elecMoment[0] =integral(e.eVars.n[0]*r0); elecMoment[1] =integral(e.eVars.n[0]*r1); elecMoment[2] =integral(e.eVars.n[0]*r2);fprintf(fp,"Electron moment of order %i: %f\t%f\t%f", moment, elecMoment[0], elecMoment[1], elecMoment[2]);// Calculates...
This chapter discusses two central theorems in vector analysis: (1) The divergence theorem (also called Gauss's theorem), which relates the integral of a vector field F over a closed surface S to the volume integral of divF over the region bounded by S, and (2) Stokes' theorem that rel...
. The infinity norm of a function f exists iff every p -norm exists with ∥f∥∞=limn→∞∥f∥n . In case of a finite dimensional vector (x1,x2,…,xk) wherein we assume WLOG that 0≤x1≤x2≤…≤xk<∞ , we have xk≤(xkn)1/n≤(x1n+x2n+…+xkn)1/n≤k1/nxk.(1) Th...
where f is a vector function in \mathbb{R}^N with N=3 or 4, given by f(x) = [ x, y, z, 1] (cartesian coordinate) Until now, i use the call to 'postint' with some trick in order to limit the number of call : cmplx1 = postint( fem, 'x+j*y', 'unit', 'm^4', ...
In this paper we study the everywhere Hlder continuity of the minima of the following class of vectorial integral funcionals:with some general conditions on the density G G .We make the following assumptions about the function G G . Let Ω \\Omega be a bounded open subset of R n \\...
2) vector valued Riemann-Stieltjes integral 向量值函数R-S积分 3) vector-valued H-L maximal function 向量值H-L极大函数 4) the integration of p-adic variable real-valued function's necessary and sufficient condition P-adic变量实值函数积分的充要条件...
In this paper,we consider a question that Riemann integrable function can be approached by continuous function and step function. 考虑黎曼可积函数可用阶梯函数和连续函数逼近的问题,应用黎曼可积函数的充分必要条件定理,给出了可积函数的逼近结果的详细证明,并指出了这些逼近结果的一些应用,沟通了相关问题之间...