Nov 11, 2018 · The Integration by Parts formula may be stated as: $$\\int uv' = uv - \\int u'v.$$ I wonder if anyone has a clever mnemonic for the above formula. What I often do is to derive it …

In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical …

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Apr 25, 2017 · To calculate the expected value, we're going to need the density function for Y Y. To get that, we're going to need the distribution function for Y Y. Let's start there. By definition, …

Mar 13, 2018 · My question is: Show that $\lim_ {x \rightarrow c} \frac {x^c-c^x} {x^x-c^c}$ exists and find its value. Because the limit is 0/0 I've tried using L'Hopital's rule, but every time I …

Apr 28, 2020 · I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually. I've noticed this matrix product pop up repeatedly …

Oct 7, 2015 · @KristofferCatabui, I had sort of assumed that you had mis-used the notation for partial derivatives (the question was un-clear, and people frequently mis-use that).

May 9, 2016 · Prove that the sequence $\\{1, 11, 111, 1111, .\\ldots\\}$ will contain two numbers whose difference is a multiple of $2017$. I have been computing some of the immediate …

17 Un U n is cyclic iff n n is 2 2, 4 4, pk p k, or 2pk 2 p k, where p p is an odd prime. The proof follows from the Chinese Remainder Theorem for rings and the fact that Cm ×Cn C m × C n is …

only when a1 =a2 =... = an = 0 a 1 = a 2 =... = a n = 0. (After all, any linear combination of three vectors in R3 R 3, when each is multiplied by the scalar 0 0, is going to be yield the zero …