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I am trying to solve this problem and have solved all parts except for the last part. I have tried to...
2Cross Validated Asked by Ahsan on 2 years ago
Let $x_0=5,x_1=10,$ and for all integers $nge2$ let $x_n=frac12left(x_{n-1}+frac8{x_{n-2}}right).$ By induction, we have $forall minmathbb Z_{ge0}enspace x_m>0,$ so we can avoid division by $0$ and...
3Mathematics Asked by xFioraMstr18 on 2 years ago
Is it possible to calculate the total number of combinations that sum to a given value from x permutations? For example, a 4 digit combination has 10,000 permutations from 0000...
1Mathematics Asked by NRApps on 2 years ago
Let $I=[0,1]times [0,1]$ and $Esubset mathbb{R}^2,$ be a set of zero Lebesgue measure. Is it true that $$overline{Isetminus E}=I?$$ I guess that the counterexample will be some...
2Mathematics Asked on 2 years ago
I have trouble factoring $ a^2+ab+b^2 $.It can be done easily using $omega$, which is a complex cube root of unity with non-zero imaginary part-$$...
1Mathematics Asked on 2 years ago
Let $Ainmathbb{R}^{ntimes m}$ be a random matrix that each of its rows or columns is a Gaussian vector with iid components. More formally we have $A_{i,cdot}simmathcal{N}(0,I_m),A_{cdot,j}simmathcal{N}(0,I_n)$ for all...
1Mathematics Asked by kvphxga on 2 years ago
Problem 1.2.2Suppose that $f$ maps compact interval $I$ into itself and that$$mid f(x)-f(y) mid < mid x-y mid$$for all $x, y in ...
0Mathematics Asked by Vinay Deshpande on 2 years ago
Let $f_n(x) = n^2 x e^{- n^2 x}$, $n=1,2,3,...$.Show that $sum_{n=1}^{infty} f_n(x) $ convergeces uniformly on $[a,infty]$, where $a>0$.Show that $sum_{n=1}^{infty} f_n(x) $ does...
2Mathematics Asked by The Mathematician on 2 years ago
Let A be an abelian category and D the category having two objects and only one nonidentity morphism between them. The functor category A$^D$ is also abelian and it...
2Mathematics Asked on 2 years ago
Full Question:A variable parabola of fixed latus rectum 4b and having axis parallel to x–axis, lies completely in Ist and IVth quadrant and cuts the fixed parabola $y^2=4ax$...
1Mathematics Asked on 2 years ago
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