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Mathematics : Recent Questions and Answers (Page 8)

Find answers to your questions about Mathematics or help others by answering their Mathematics questions.

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$?

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$? I already know what is its integration. I collected the answers from Quora (black ones) and WolframAlpha website (the...

Asked on 01/03/2022

1 answer

Find all functions $f$ that satisfy the following

Let $Omega $ be an open, bounded, and connected subset of $mathbb{C}$ Find all functions $f:bar{Omega }rightarrow mathbb{C}$ that satisfy the following conditions simultaneously :$f$ is...

Asked on 01/03/2022 by Pedro Alvarès

1 answer

The finite-dimensional distributions for a Wiener process are given by this formula?

A stochastic process $X = {X_t}$ on is Wiener Process if the following properties hold$X_0 = 0$$X$ has independent increments: for any $ninmathbb{N}$ and any ...

Asked on 01/03/2022 by Andrew Shedlock

1 answer

How do I find the value of $operatorname{LCM} (a_1^k,a_2^k, ldots ,a_n^k) pmod {m}$?

LCM can be upto or greater than $10^{50}$.$k$ and $m$ are upto $10^9$. My current approach isFinding the LCM .(LCM % m)^k=A.A % m.This is...

Asked on 01/03/2022

1 answer

What does it mean to write X=Y+W where W is gaussian with mean 0.

Assuming X Y are two random variables. When we write X=Y+W with W~Gaussian(with 0 mean), Do we mean the random variable X-Y ~ Gaussian(with 0 mean)? Or does it mean...

Asked on 01/03/2022 by zhongyuan chen

1 answer

Assume $T_n,T$ are bounded bijective linear operators $T_n to T$ pointwise. Show $T_n^{-1}to T^{-1}$ pointwise $iff$ $|T_n^{-1}|leq C$

Assume $T_n,T$ are bounded bijective linear operators $X to Y$ and $T_n to T$ pointwise. Show $T_n^{-1}to T^{-1}$ pointwise $iff$ $|T_n^{-1}|leq C$ Note: ...

Asked on 01/03/2022

1 answer

When two quadratics seems to output the same values are they necessarily the same?

Joel is thinking of a quadratic and Eve is thinking of a quadratic. Both use $x$ as their variable. When they evaluate their quadratics for $x=1$, they get...

Asked on 01/03/2022

1 answer

$f(X_n)$ converges in probability to $f(X)$ implies $X_n$ converges in probability to $X$

Show that $(X_n)_n$ converges in probability to $X$ if and only if for every continuous function $f$ with compact support, $f(X_n)$ converges in probability to ...

Asked on 01/03/2022 by Kurt.W.X

2 answer

An extension field induces new variety

If one have an irreducible affine algebraic varieties $X$, one can define the function field of $X$ as the field of fraction of its coordinate ring $K[X]$....

Asked on 01/03/2022

0 answer

Product of connected sets is connected

I know that this question had already been asked here but there is a problem ... all the proofs that I've seen used homeomorphisms and continuous functions. Well my teacher...

Asked on 01/03/2022 by pipita

2 answer

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