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4:14 PM
A new tag was created by nmasanta, including tag-excerpt and tag-info. It definitely sounds like a meta tag.
> This tag contains various questions relating to the "physical significance" or, "geometrical significance " or, "mathematical significance" of any term, expression, equation, graph etc. etc.
> Significance is not a formal term, but refers to an interpretation. It just means how you can interpret physically / geometrically / mathematically something about the topic under discussion.
Q: What do the symbols d/dx and dy/dx mean?

KamiOkay this may sound stupid but I need a little help... What do $\Large \frac{d}{dx}$ and $\Large \frac{dy}{dx}$ mean? I need a thorough explanation. Thanks.

Q: Significance of the term "general" in a general solution of the ODE.

nmasanta General Solution: A solution of a differential equation in which the number of arbitrary constants is equal to the order of the differential equation is called the general solution or complete integral or complete primitive. Singular solution: A solution which can not be obtained f...

Q: Geometrical significance

rhombicosicodecahedronWhat is the geometric significance of substitution? For instance substituting $x = r\cos(\theta)$ and $y = r\sin(\theta)$ in the following problem to find the limit. $\lim\limits_{(x,y) \to (0,0)} \dfrac{\tan(x^2 + y^2)}{x^2+y^2}$. Of course, this manipulation/substitution makes it easier to sol...

Q: What is the geometrical significance of a complex-valued singular value decomposition?

DarcySuppose you have a 2x2 real-valued matrix, $\mathbf{A}$. If you perform a singular value decomposition (SVD), then this can be understood geometrically as a decomposition of $\mathbf{A}$ into a 2-D rotation, scaling and second 2-D rotation of the form: $$\mathbf{A} = \mathbf{R_1 S R_2}$$ Howeve...

Q: What's the geometrical interpretation of the magnitude of gradient generally?

JichaoIn the following picture, the author of the Field and Wave Electromagnetics shows the geometrical meaning of the direction of the gradient. That is, only by following the direction of the normal vector to the curve at that pointer could the rate of change be the maximum. But what about the g...

4:33 PM
A: Tag management 2019

YuiTo ChengProposal to remove (or even blacklist) significance It is a meta tag and it is a bad one. I sincerely ask the creator to stop retagging old questions until we have an actual discussion.

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