Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 168

Check if line lies between two planes

I have a line given by an equation $$vec{p} = vec{l}_0 + dvec{l}$$ where $vec{l}$ is a direction vector of a line, $l_0$ is a point on...

Asked on 12/23/2020 by michalt38

1 answer

Distance of two points in a rotated rectangle

I have a rectangle which I need to rotate (blue rectangle in the image). The rotation origin is a random point somewhere inside of this rectangle (point Z in the...

Asked on 12/23/2020 by Fygo

1 answer

Smash product of CW complexes

I'm studying algebraic topology and I'm using Hatcher's book. There, he talks about the smash product of CW-complexes: Given two CW-complexes $X$ and $Y$ and two points ...

Asked on 12/23/2020 by Lucas Giraldi A. Coimbra

2 answer

Intersection of irreducible hypersurface with tangent hyperplane in a non-singular point is singular

Prove that the intersection of an irreducible hypersurface $V(F) subseteq mathbb{A}^{n}$ with the tangent hyperplane $T(V)_p$ in a non-singular point $p in V$ is singular at ...

Asked on 12/23/2020 by lupidupi

0 answer

Prime subfield of a field is $mathbb{Z}/pmathbb{Z}$ or $mathbb{Q}$.

I can't see the phrase "$F$ contains a subfield isomorphic either $mathbb{Q}$ (the field of fractions of ...

Asked on 12/23/2020 by eraldcoil

1 answer

Give example of 2 standard uniform random variables with given Pearson correlation

Give example of r.v. $X$ and $Y$ with $X sim U(0,1)$ and $Y sim U(0,1)$ and $corr(X,Y) = .25$. How does one approach such a...

Asked on 12/23/2020 by Jeff Nguyen

1 answer

Proof of a concept over Distributions

I'm approaching the study of distributions, and together with many notes, I'm following L.Hormander book "linear partial differential operators". In page $5$ he writesIn view of the identification of...

Asked on 12/23/2020 by Hans-André-Marie-Stamm

1 answer

Unsure what this Eigenvalue means?

In this Eigenvalue/vector question, the Eigenvalue v in the question is (-1,1,1)ᵀ. I'm not sure what to make of this, I don't understand if it's a list or something, or...

Asked on 12/23/2020 by tybg

0 answer

Give an example of a set A with equivalence relations R and S for which S∘R ≠ R∘S

I have to give an mere example where SR is not equal to RS. I have tried a couple of numerical examples but am not able to figure any out....

Asked on 12/22/2020 by Harry Solomon

1 answer

Question on permutation cycles and order of a permutation

My attempts for part (a): As 4 and 7 are 2-cycles, and 1, 2, 3, 5, 6 is another 5-cycles,...

Asked on 12/22/2020 by Ramesh Karl

0 answer

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