Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 191

Which of the following statements is correct?

My attempt: I take the matrices which have trace $-1$ and determinant $1$.As I have tried this question many times...

Asked on 11/27/2020 by user469754

1 answer

If $sigma in A_n$ has a split conjugacy class, then $tau sigma tau^{-1}$ is not conjugate to $sigma$ for odd $tau$

Let $sigma in A_n$ such that the disjoint cycle decomposition of $sigma$ contains no even cycles or cycles of the same length. Although there is one conjugacy class...

Asked on 11/27/2020 by jskattt797

0 answer

Irreducible polynomial equations from equations of algebraic functions in two variables?

Let $A$ be an arbitrary algebraic function in dependence of the two variables $x$ and $y$.Let's consider the equation $A(x,y)=0$ (equation 1) involving $x$...

Asked on 11/27/2020 by IV_

2 answer

Solving two coupled ODEs without use of complex numbers

Consider a system of ODEs where $x, y$ are functions to be determined. $$ x'(t) = 2x(t) y(t) $$$$ y'(t) = y^2(t) - x^2(t) $$ It...

Asked on 11/27/2020 by Daniels Krimans

1 answer

How many words of length $10$ are there in which not all of the vowels A, E, I, O, U appear?

The word can have every letter as long as A,E,I,O,U aren't all in the same word. Can this be the number of all words of length $10$ without all...

Asked on 11/27/2020 by José Pedro Ferreira

1 answer

Cardinality of finite sequences of infinite set

I want to prove that if $A$ is a infinite set, then $|Fin(A)|=|FS(A)|=|A|$, where $Fin(A)$ is the set of all finite subsets of $A$ and ...

Asked on 11/27/2020 by avir_12

1 answer

Valuation of polynomials

My paper defines a valuation on a Ring $R$ to be a map $v:R-{0} rightarrow A$ where $A$ is an ordered abelian group. This map has the...

Asked on 11/27/2020 by Muselive

1 answer

Existence of the Eigenvalues of an Idempotent Mapping

Let $V$ be a real vector space. If $T: V rightarrow V$ is an idempotent linear map, and if $lambda$ is an eigenvalue of $T$, then...

Asked on 11/27/2020 by V. Elizabeth

2 answer

resolution - satisfiability of formula (edit: renaming clause variables)

I need to determine whether the following formula is satisfiable, using binary resolution: $$exists x forall y forall z ((P(y) to Q(z)) to (P(x) to Q(x)))$$ I re-framed the...

Asked on 11/27/2020 by harshatech2012

1 answer

Satisfying an equation in natural numbers

I am playing a game where I can gain xp from crafting certain things using some material. The xp is given by$$E=250a+375b+500c$$$a$ represents how many sets of...

Asked on 11/26/2020 by Luyw

1 answer

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