Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 126

Sets; is (A∩B)∪C the same as A∩(B∪C)?

So I have this homework question, asking to prove (A∩B)∪C= (A∪C)∩(B∪C) , but that doesn't make sense to me. Shouldn't it be A∩(B∪C)= (A∪C)∩(B∪C) ?When I check in the...

Asked on 02/08/2021 by user839131

1 answer

Doubt in Hoffman and Kunze Linear Algebra Section 8.5

Here is the proof from the book I was reading Now, I know about linear transformations and how in its...

Asked on 02/08/2021 by Combat Miners

1 answer

Convergence in probability from the central limit theorem

My question comes from the proof of the Delta method. One of the conditions states that $sqrt{n}(Y_n - theta) rightarrow N(0,sigma^2)$ in distribution for some sequence...

Asked on 02/07/2021 by secondrate

2 answer

Graph theory: strong regular graph

A simple graph $G$ which is neither empty nor complete is said to be strongly regular with parameters $(v,k,λ,μ)$ if: $$v(G)=v$$$G$ is $k$-regular;any two adjacent...

Asked on 02/07/2021 by Spencer Ireland

1 answer

Proving the Fibonacci Recurrence

Following is out homework problem. And I have no clue how to do it. The strong induction one seems doable, but a is a nightmare. I have done all sorts...

Asked on 02/07/2021

1 answer

Find solution of this ODE

I try to solve this ODE$$y^2left(1+left(dfrac{dy}{dx}right)^2right)=C$$where $C$ is positive constant. Then I have $y=pmsqrt{C}$.Is it right $y=pmsqrt{C}$ is only the solution...

Asked on 02/07/2021 by Ongky Denny Wijaya

1 answer

Constrained $L^2([0,1],mathbb{R})$ space

The space $L^2([0,1],mathbb{R})$ admits an orthonormal basis: $1, sqrt{2} cos(2pi n x), sqrt{2} sin(2pi n x), quad n= 1,2,...$ What happens to $L^2([0,1],mathbb{R})$ if we add a...

Asked on 02/07/2021 by kot

2 answer

Confused on proof questions about relations

Prove or disprove: Let ?1 and ?2 be relations on a set ?. a) If ?1 and ?2 are reflexive relations, then ?1 ∪ ?2 is reflexive. b) If ?1...

Asked on 02/07/2021 by Atlecx

0 answer

Axiomatic definition of groups

To define natural numbers one can either:use the Peano axioms in second-order logic;encode them in set theory as von Neumann ordinals.The relation between those two definitions...

Asked on 02/07/2021

5 answer

Simplifying the following mathematical expression using a computer?

I have this following beastly expression typed up very nicely in LaTeX formatting, as you can see. What is the easiest way that I can get a computer to simplify...

Asked on 02/07/2021

2 answer

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