Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 81

If $alpha$ and $beta$ are the roots of $x^2-4x+5=0$, find $(alpha^3-4alpha^2+6alpha+2)(beta^3-4beta^2+6beta+2)$

If $alpha$ and $beta$ are two roots of the equation $x^2-4x+5=0$, find $$(alpha^3 - 4alpha^2 + 6alpha + 2)(beta^3 - 4beta^2 + 6beta + 2)$$ using...

Asked on 11/16/2021

1 answer

Binomial conditional on Poisson

I have a binomial $CNTsimmathcal{B}(n,p)$, and a poisson $Psim mathcal{P}(lambda)$. Now I'm looking at $CNT$ conditional on $P$: What’s the expected value, $E(B|P)$? What...

Asked on 11/16/2021 by linhares

0 answer

In infinite dimensions, is it possible that convergence of distances to a sequence always implies convergence of that sequence?

This is cross-posted and answered on MO here. Let $(X,d)$ be a metric space. Say that $x_nin X$ is a P-sequence if $lim_{nrightarrowinfty}d(x_n,y)$ converges for every...

Asked on 11/16/2021 by Nikhil Sahoo

2 answer

How to express birational equivalence of Diophantine equation $x^4+y^4=z^2$ and elliptic curve?

I have a series of change of variables to go from the Diophantine equation $x^4 + y^4 = z^2$ to the elliptic curve $y^2 = x^3 - 4x$...

Asked on 11/16/2021 by Andrew Li

1 answer

How to solve these kind of Modular Arithmetics situations?

Helloo...Im kinda dumb in Discrete Mathematics since I just started studying it currently and I'm trying to figure out studying material to get remainders from operations like $11^{14^{4578369}}pmod...

Asked on 11/16/2021 by Rubenszinho

0 answer

Can you find an invertible submatrix?

Given an $mtimes n$ matrix $mathbf{A}$ $(mgneqq n)$, I'm trying to efficiently find all $ntimes n$ invertible submatrices using a computer. Equivalently, I'm trying to find...

Asked on 11/16/2021 by user326210

1 answer

Bounded linear map which is not continuous

Definition: A subset $B$ of the TVS $E$ is said to be bounded if to every neighborhood of zero $U$ in $E$ there is a number...

Asked on 11/16/2021

2 answer

Is $(mathbb{Z}, times)$ also a group?

Addition $+$ is a closure operation for set of integers ($mathbb{Z}$) The identity element for set of integers is $0$Definition of group:Each group is a set...

Asked on 11/16/2021

4 answer

IMO problems, can someone help me to learn problem solving skills?

I am a student and I want to enhance my problem-solving abilities of maths-problems. I am Italian and I try to resolve the national problems (of course of my country)...

Asked on 11/16/2021

0 answer

Probability that $max(X_1, ldots, X_n) - min(X_1, ldots, X_n) leq 0.5$

Consider $n$ IID random variables $X_1, ldots, X_n sim U(0,1)$. What is the probability that $max(X_1, ldots, X_n) - min(X_1, ldots, X_n) leq 0.5$. Denote $Z_1,...

Asked on 11/16/2021

3 answer

Ask a Question

Get help from others!

Mathematics : Recent Questions and Answers (Page 81)

Ask a Question