Velvet Star Monitor

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What is a sharp constant?

I've been reading some papers and found this term "Sharp constant" being used in inequalities frequently. Can anyone provide me a detailed meaning of...

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Dual norm intuition

The dual of a norm $\|\cdot \|$ is defined as: $$\|z\|_* = \sup \{ z^Tx \text{ } | \text{ } \|x\| \le 1\}$$ Could anybody give me an intuition of this con...

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Rolling three dice...am I doing this correctly?

Tree dice are thrown. What is the probability the same number appears on exactly two of the three dice? Since you need exactly two to be the same, there a...

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Pullback of a differential form by a local diffeomorphism

Suppose I have to smooth oriented manifolds, $M$ and $N$ and a local diffeomorphism $f : M \rightarrow N$. Let $\omega$ be a differential form of maximum ...

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Unique Readability Theorem proof

I really do not understand the Unique Readability Theorem proof (in Enderton's book). The proof essentially goes that we have wffs $\alpha, \beta, \g...

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Converting an equation from cartesian to cylindrical coordinates

This is going to seem pretty basic, but I'm trying to figure out if there is a problem in my homework's text or if it's just not clicking f...

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Why are fractions "multiplied across"? [duplicate]

Suppose we have two rationals, $\frac{a}b$ and $\frac{c}d$. I daresay anyone with some form of mathematical education would disagree that our result would...

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How to find inverse of sine without using calculator, example like sin^-1(4/7).......etc

On this website i learnt how to find inverse cosine without using calculator with estimating formulated but the problem was it was for only cosine functio...

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NAUTY algorithm [closed]

NAUTY is a Graph Isomorphism(GI) software developed by Brendan McKay to test isomorphism of Graphs. It provides a practical solution to the Graph Isomorph...

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Propositional Logic : Absorption - Why is it so?

Why is the Absorption Law of Propositional Logic so ? p $\lor (p \land q) \equiv$ p Would appreciate an intuitive explanation and not one using a Truth Table

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