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im having a problem with a question that tells me to find $f(n)$ so that $f(n) neq o(n^2)$ meaning also that $lim_{rightarrowinfty} frac{f(n)}{n^2} neq 0$ and ...
Asked on 12/25/2021 by Yuval Eliav
1 answerTheorem 4.2.8 in Dudley's Real Analysis and Probability states:Given a set $X$, a measurable space ($Y$, $mathcal{B}$), and a function$T$ from $X$ into ...
Asked on 12/25/2021
0 answerWe have our general equation is second degree in two variables:$ax^2+2hxy+by^2+2gx+2fy+c=0$ Let's say this represents a pair of straight lines Our professor told that we could find the...
Asked on 12/25/2021 by DatBoi
1 answerCalculate the area between the two functions, $f(x)$, $g(x)$, for $x in [3,5]$.$$f(x)=x^2+3x+7$$$$g(x)=xe^{x^3+4}$$To determine the area between the functions I used the formula...
Asked on 12/25/2021
2 answerFirst, let us define:$epsilon$-additive approximation:$$hat{p} in big[ p -epsilon, p + epsilon big]$$$epsilon$-multiplicative approximation:$$hat{p} in big[ p cdot (1-epsilon), ...
Asked on 12/25/2021
1 answerLet $V$ be a (real) vector space. Consider the set $mathscr{V}$ consisting of all subspaces of $V .$ Equipping $mathscr{V}$ with the addition of subspaces, is...
Asked on 12/25/2021 by maths student
1 answerLet $Omega$ be an open subset of a topological space $E$ and $xinOmega$ be a fixed point of a continuous function $f:Omegato E$.How can we show...
Asked on 12/25/2021
1 answerLet $X$ be a vector space and let $A$ be a subset of $X$. Let $d$ be a metric on $X$ which is not induced...
Asked on 12/25/2021 by serenus
0 answer$324$ is an example of an integer such that both $324!-1$ and $primorial(324)-1$ are primes.Are there other examples?Is there some condition to be $n!...
Asked on 12/25/2021 by Enzo Creti
0 answerIs there any commutative unitary ring $(R,+,cdot,0,1)$, that is not an integral domain, with an element $xneq 1,0$ that presents at least two distinct multiplicative "proper" decompositions (i.e....
Asked on 12/25/2021
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