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I recently started studying elementary set theory on my own. I understood Russels paradox. By assuming set of all ordinary sets it leads to contradiction. Now if i think about...
Asked on 12/25/2021 by Nascimento de Cos
1 answerI am trying to compute the inverse of $$f(theta,phi) = left(frac{costheta sinphi}{1-cosphi}, frac{sintheta sinphi}{1-cosphi}right)$$ but I lack some basic knowledge on how I can do that. Could please provide...
Asked on 12/25/2021 by Thoth
2 answerGive $A$ is Euclidean domain and $delta: Asetminus left{0right} to mathbb{N}$ is Euclidean mapping. I have prove that "$A$ is a field if and only if ...
Asked on 12/25/2021 by Tung Nguyen
1 answerSuppose we are playing the game hangman. My opponent picks a word at random from the dictionary, which we both have access to during the game. Once...
Asked on 12/25/2021 by zfj3ub94rf576hc4eegm
0 answerQuestion from an entrance paper If $f(x)=x^{2}$ and $g(x)=x sin x+cos x$ then A. $f$ and $g$ agree at no point B. $f$ and ...
Asked on 12/25/2021
4 answerIs there any way to find the degrees of the irreducible factors of a polynomial $x^k - 1$ over the field$Bbb F_q $, andover $Bbb Q$, in...
Asked on 12/25/2021 by Aspiring Mathematician
2 answerIs it needed that if two sided identity exists for a binary operation (on a set), still need to check if inverse exists or not. I request a reason for...
Asked on 12/25/2021 by jiten
1 answerShow that $Bbb{R}^n$ and $Bbb{R}$ are isomorphic as vector spaces over $Bbb{Q}$.My attempt:Let $c=$ cardinality of $Bbb{R}$. Then we know that $Bbb{R}$ over ...
Asked on 12/25/2021 by user598858
2 answerMy father asked me the following question: A real function $fcolon mathbb{R}to mathbb{R}$ is called $k$-regular if for each $yin mathbb{R}$, the equation $f(x)=y$ has precisely...
Asked on 12/25/2021 by Mathematician 42
0 answerI have calculated the Pearson correlation coefficient for two sets of values using excel. I got the value in the negative number. I know that the idea of getting a...
Asked on 12/25/2021 by LSG
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