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Mathematics : Recent Questions and Answers (Page 77)

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

Geometric intuition of perpendicular complex vectors

I want to grasp the idea of orthogonality and angle between complex vectors. Some things are very confusing to me like if i take a vector in $mathbf{C}^1$ (say...

Asked on 11/19/2021 by rameesh paul

0 answer

Action of the $n$-th roots of unity on $mathbb{A}^2$

The following appears as Example 1.9.5 (c) in Fulton's Intersection theory.Let $X$ be the quotient of $mathbb{A}^2$ obtained by identifying $(s,0)$ with $(mu s,0)$ for all...

Asked on 11/19/2021

1 answer

MIN-FORMULA $in$ NP

I am thinking about the following problem: Show that MIN-FORMULA $in$ NP. MIN-FORMULA is the set of minimal boolean formulas, i.e. formulas such that there is no shorter formula...

Asked on 11/19/2021 by Ettore

1 answer

$forall xinmathbb{R}enspace enspace, forall yinmathbb{R} : (xge y)$ or $(xle y)$ proof?

Well, it's obvious that it's true.but our teacher just proved it by saying "for each $x$ and $y$ we will input, we will receive true element". My...

Asked on 11/19/2021

1 answer

Interchange of diagonal elements with unitary transformation

I have a matrix:$$left(begin{array}{lll}a & 0 & 0 \0 & b & 0 \0 & 0 & cend{array}right)$$Which I want to change to:...

Asked on 11/19/2021

2 answer

How can we prove mgf of sample proportion of binomial distribution converges to exp(pt)?

$S_{n}$ follows Binomial(n,p). $X_{n}$ is the sample proportion which is $X_{n} = S_{n}/n$. How can we prove $lim_{n to +infty} M_n{(t)} = e^{pt}$ ? What I...

Asked on 11/19/2021

1 answer

What is the difference between a measure being "supported on [set] $A$" vs "supported in $A$" vs "supported at $A$"?

What is the difference between saying three things (here $A$ is a set)(1) Let $mu$ be a measure supported on $A$and(2) Let $mu$ be a measure...

Asked on 11/18/2021

0 answer

Is taking the derivative inside this integral acceptable?

I have run into an integral where I take the partial derivative of x when the upper limit of the integral is x. This is how I solve it...

Asked on 11/18/2021

1 answer

Moduli Space of Tori

I'm looking at an exercise that reads: Problem. Let $A = begin{bmatrix}a & b\c & dend{bmatrix} in GL(2, mathbb{C})$ and $Lambda = langle z mapsto z + omega_1,...

Asked on 11/18/2021 by bookworm

1 answer

Necessary condition for x>0 being an integer

I was trying to solve a number theory problem and then I realized that I was needing to verify (prove or disprove) the following ''fact'' about numbers. I would appreciate...

Asked on 11/18/2021 by Aeternal

2 answer

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