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Mathematics : Recent Questions and Answers (Page 55)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

How to segment a group of symmetric points

I have a closed shape represented by N points in a 2D space, and I know for sure that the points have some sort of symmetry. Given the N points,...

Asked on 12/03/2021

1 answer

Prove $D(A):= {win H^{2}(0, 2pi): w(0) = w(2pi), w^{'}(0) = w^{'}(2pi) }$ is dense in $L^{2}(0,2pi).$

Let $H^{2}(0, 2pi)$ and $L^{2}(0, 2pi)$ be standard notation for the well-known functional spaces. Prove $$D(A):= {win H^{2}(0, 2pi): w(0) = w(2pi), w^{'}(0) = w^{'}(2pi) }; is;...

Asked on 12/03/2021 by John M-D94

0 answer

A is greater than B by 25% then by what percentage B is less than A?

Q. $A$ is greater than $B$ by $25text{%}$ then by what percentage $B$ is less than $A$ ?my approach: $A$ is greater than ...

Asked on 12/03/2021 by user809080

4 answer

Show continuity of partial derivatives of piece-wise function

Consider the $f:mathbb{R}^2 mapsto mathbb{R}$ defined by $$f(x,y) = frac{xy(x^2-y^2)}{x^2+y^2}$$ for $(x,y) neq (0,0)$ and $f(0,0)=0$. Show that f $in C^1(mathbb{R}^2), f not in C^2(mathbb{R}^2)$.To...

Asked on 12/03/2021 by learning_linalg

1 answer

For any two positive operator $a,b$ with norm $<1$ there is a $c$ such that $a,bleq c$ and $|c|<1$. Does this hold for $|a|=|b|=1$?

I mean, for two positive operator $a,b$ with norm $1$, is there still always a positive $c$ such that $a,bleq c$ and $|c|=1$?Suppose it...

Asked on 12/03/2021 by Sui

1 answer

Why do we use odd ratios rather than using conditional probabillity?

The OR represents the odds that an outcome will occur given a particular exposure, this is very analogous to the concept of conditional probability except that the formula for conditional...

Asked on 12/03/2021 by Malzahar

0 answer

Proof of Stone Weierstrass Theorem from Hahn Banach

It can be found here a proof of Stone-Weierstrass Theorem through Hahn-Banach theorem (hyperplane separation of convex sets). I find one line in the proof difficult to...

Asked on 12/03/2021

1 answer

The degrees of the irreducible characters are divisors of the order of $G$

Let $G$ be a finite group into the field $mathbb{C}$, then the number of irreducible characters of $G$ is equal to the number of conjugacy classes of...

Asked on 12/03/2021

0 answer

To find a number $d$ such that there are at least two points very close to each other.

Suppose we have $226$ points in a $4$ by $4$ square. We have to find a number $d$ such that there are at least two points...

Asked on 12/03/2021 by User8976

0 answer

algebraic reason that homs to affine schemes factor uniquely through open affine subschemes

I notice that an affine open subscheme $X = operatorname{Spec} R$ of an affine scheme $Y = operatorname{Spec} S$ has the property that any ring hom $Srightarrow...

Asked on 12/03/2021

0 answer

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