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what does $(A\\cdot\\nabla)B$ mean? - Mathematics Stack … You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …
怎样理解倒三角算子 ∇ 作用于一个矢量? - 知乎 题主说倒三角算子,大家都懂,不过知道正式的名称更好一些。 \nabla\cdot\mathbf {A} 叫做矢量 \mathbf {A} 的 散度,这是一种新的定义,但在形式上可用点乘表示。 这是把 \nabla 看作一个 …
What does the equation $s=-\\nabla \\cdot(\\rho \\nabla u)$ mean? 18 Jan 2023 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …
Is there a general formula for the del operator $\\nabla$ in … 8 May 2017 · This is because vector calculus notation is full of old fashioned notions. If you want to understand what is going on with the ∇ ∇ operator in vector calculus, you should really use …
Is there a well defined difference between $\\nabla$ and $D$? 29 Apr 2018 · IMO, the main confounding issue here is that the derivative came into practice before the distinction between vectors and covectors was widely recognized (in coordinates, …
What does the symbol nabla indicate? - Mathematics Stack … 27 Mar 2018 · The nabla can be applied to a number of different areas in multivariable calculus, such as divergence or curl. In all these cases, the nabla can be treated like a vector which you …
solution of $\\nabla^2 \\phi = K\\phi \\nabla^2 \\frac{1}{\\phi}$ 19 Aug 2023 · Is there any known analytical solution to the below equation? ∇2ϕ = Kϕ∇21 ϕ ∇ 2 ϕ = K ϕ ∇ 2 1 ϕ, where K K is a constant. Assume spherical co-ordinates and spherical …
What is the meaning of $A. \\nabla - Mathematics Stack Exchange 21 Jul 2018 · Suppose you have a vector field A =A1i^ +A2j^ +A3k^ A = A 1 i ^ + A 2 j ^ + A 3 k ^. Then ∇ ⋅ A ∇ A would represent the divergence. But what does A ⋅ ∇ A ∇ mean below, and …
Proving $d^\\nabla( d^\\nabla \\omega) = F^\\nabla \\wedge … 19 Feb 2024 · I'm going over the exterior covariant derivative $$d^\nabla : \Omega^k (E) \to \Omega^ {k+1} (E)$$ of a vector bundle $E \to M$ and a connection $\nabla$ on $E$.
Where does the relation $\\nabla^2(1/r)=-4\\pi\\delta^3({\\bf r ... It is often quoted in physics textbooks for finding the electric potential using Green's function that $$\nabla ^2 \left (\frac {1} {r}\right)=-4\pi\delta^3 ( {\bf r}),$$ or more generally $$\nabl...