Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 198

one equation three unknowns

Could someone point me in the right direction as to how to solve:7a+8b+9c = 1744I need to know how to do this for other three unknown equations a well...

Asked on 10/21/2020 by Stacey

1 answer

Linear Functional over $mathbb{R}$ Vector Space

If f and g are two non-zero linear functionals on $mathbb{R}$ vector space $V$[finite dimensional]. Such that whenever $f(x)geq 0$ we have $g(x)geq 0$....

Asked on 10/21/2020 by Saikat

1 answer

Prove a group is $p$-divisible for a prime $p$.

I am wondering how to prove that a finite $G$ with no elements of order $p$ for some prime $p$ implies that $G$ is $p$-divisible....

Asked on 10/20/2020 by Chris Christopherson

1 answer

Do "time points" and "durations" have an algebraic structure?

The C++ programming language has two types that are used to represent time: time_point and duration. As the name suggests:time_point represents a specific point in timeduration is, well, a durationMathematical...

Asked on 10/20/2020

1 answer

Prove $A cup (cap B)=cap{Acup b: b in B}$

Definition The amalgamated intersection of $A$ is defined by $cap A={x mid forall a in A, x in a }$ Prove $A cup (cap B)=cap{Acup b: b...

Asked on 10/19/2020 by Aaron

2 answer

Tangent space of a scheme and subschemes of length two

I found in Huybrecht's book Fourier Mukai transforms in Algebraic Geometry the following statement A tangent vector $v$ at $x in X$ is the data of a...

Asked on 10/19/2020 by Federico

1 answer

Is QR factorization continuous?

I can find sources on the internet that provides expression of the derivative of $Q$ and $R$ with respect to $A$ in the expression $A=QR$.One...

Asked on 10/19/2020 by LudvigH

0 answer

The cardinality of fibers of quasi-finite morphism is locally constant (The open-ness of proper locus)

Let $f : X to Y$ be an etale surjective separated quasi-compact morphism of schemes.Then does there exist an integer $d > 0$ such that there exists...

Asked on 10/19/2020 by zom

0 answer

Interesting and unexpected applications of $pi$

$text{What are some interesting cases of $pi$ appearing in situations that do not seem geometric?}$ Ever since I saw the identity $$displaystyle sum_{n = 1}^{infty} frac{1}{n^2} = frac{pi^2}{6}$$ and the...

Asked on 10/19/2020 by MCT

30 answer

Show that $(G, +, 0)$ and $(H, +, 0_{2×2})$ are abelian groups.

Let $G = big{a + bsqrt2 | a,b inmathbb{Q}big}$. Let $H = bigg{begin{bmatrix} a & 2b \ b & a end{bmatrix}bigg |a,b inmathbb{Q}bigg} $ And denote $0_{2times...

Asked on 10/18/2020 by TopologicalKing

2 answer

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