Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 54

Find minimum value of $frac{sec^4 alpha}{tan^2 beta}+frac{sec^4 beta}{tan^2 alpha}$

Find minimum value of $frac{sec^4 alpha}{tan^2 beta}+frac{sec^4 beta}{tan^2 alpha}$I know this question has already answered here Then minimum value of $frac{sec^4 alpha}{tan^2 beta}+frac{sec^4 beta}{tan^2 alpha}$ but my answer...

Asked on 12/05/2021

1 answer

About a proof of a proposition in "Concrete Mathematics" by Donald E. Knuth et al..

I am reading "Concrete Mathematics" by Donald Knuth, et al.. There is the following proposition in this book without a proof:$n^{alpha_1} (log n)^{alpha_2} (log log n)^{alpha_3} prec n^{beta_1} (log...

Asked on 12/05/2021

0 answer

Question about the Hat Matching Problem

I'm confused about the following probability problem: N people throw their hats into a box. They then randomly draw a hat out of the box. Find the expected number of...

Asked on 12/05/2021 by BigBear

1 answer

Fundamental Group of $mathbb{RP}^n$

I was tring to culculate the fundamental group of $mathbb{RP}^n$ with VAN KAMPEN to have a better understanding on how to use this theorem.$left(mathbb{RP}^n:=S^n/ sim left((x_0,cdots,x_n) sim(-x_0,cdots,-x_n)right)right)$...

Asked on 12/05/2021 by kingzone

2 answer

Why does this not satisfy the conditions of a metric?

Suppose we would like to define a metric on New York City, let t : NYC × NYC → R+ isa function that measures the time it takes to...

Asked on 12/03/2021 by mathguy1345

1 answer

Solving $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2$

I was doing the problemFind all real solutions for $x$ in: $$ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2$$There was a hint, to prove that $2^{x}...

Asked on 12/03/2021 by Shad0w7

2 answer

Do Approximate Eigenvalues Imply Approximate Eigenvectors?

My apologies in advance if this has already been asked somewhere. Suppose I have two real symmetric matrices $A$ and $B$ in $mathbb{R}^{d times d}$ for which...

Asked on 12/03/2021 by Naren Manoj

2 answer