physics - $\Delta$ operator is it as a differential operator ...
2021年2月20日 · In any event: $\Delta (r\times p)$ equals, the first line by definition, and the next line by expanding out the terms in the cross product, $$ \begin{align}\Delta (r\times p) &= (r+\Delta r ) \times (p+\Delta p) - r\times p\\&= r\times p + (r \times \Delta p) + (\Delta r \times p) + (\Delta r \times \Delta p)- r\times p.\end{align} $$ Canceling ...
What is the use of Delta symbol in set theory?
2013年11月14日 · $\begingroup$ Might be worthwhile to mention associativity, and point to the fact that $(\mathcal P(X), \Delta)$ is an abelian group with unit $\varnothing$. $\endgroup$ – Lord_Farin Commented Nov 14, 2013 at 13:43
calculus - Delta operator magic - Mathematics Stack Exchange
Delta operator magic. Ask Question Asked 13 years, 10 months ago. Modified 13 years ago. Viewed 1k times ...
Dirac delta function like a "function" of an operator
2018年8月18日 · Let $\mathcal{S}\subset \mathcal{H}=L^2(\mathbb{R}^n)\subset \mathcal{S}^*$ be the Schwartz space, the Hilbert space and the space of tempered distributions respectively.
what does ∇ (upside down triangle) symbol mean in this problem
$\begingroup$ Better notation, in my opinion: $\nabla ^{2}\cdot\overrightarrow{F}$, since here the operator $\nabla$ "is" a vector, while in $\nabla^2 f$ "is" a scalar. $\endgroup$ – Américo Tavares
Del. $\\partial, \\delta, \\nabla $: Correct enunciation
$\delta$ : This poor fellow is hardly used. I guess it's called del because it looks like $\partial$ and/or is a "shortened" version of $\Delta$--"DELta". Usually: Just read it out as "delta" or "small delta". Other pronunciations: None. Hopefully. I personally read …
The $\\delta$ notation in calculus of variations
2019年6月15日 · $$\delta J = \frac{\partial J}{\partial \alpha}d\alpha$$ $$\delta y = \frac{\partial y}{\partial \alpha}d\alpha$$ I know that the $\delta$ notation stands for the variation from the actual path, but I cannot relate the geometrical interpretation to the above equation. Can anyone please explain the above terms and provide an explanation on why ...
What is the value of a delta function? - Mathematics Stack Exchange
2021年2月12日 · $\begingroup$ The Dirac delta function, $\delta(t)$, used in continuous time integrals, is different from the Kronecker delta function, $\delta[n]$, used in discrete time summations. Their effect is the same, an identity element for …
multivariable calculus - Notation laplace operator squared …
The $\Delta$ is the Laplace operator so $\Delta u = u_{xx}+u_{yy}$. But what is $\Delta^2$? In the context it would make sense (but it is not really a strong indication) for it to be $$\Delta^2 u = u_{xxxx}+u_{yyyy}$$ but when I first saw it I just thougth it was
discrete mathematics - What is meant by the delta equivalent sign ...
2015年5月19日 · It is also used in physics, to indicate that forces are drawed on some scale, so for example $$1 N \overset{\Delta}{=} 0,1 \; \mathrm{m}$$ It is clear that a force isn't equal to some length, but they are corresponding with the same length.