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When we take distance from the line, we take $$ d = frac{ Ax_o + By_o + C}{ sqrt{A^2 +B^2}}$$ usually with a modulus on top, now my question...
Asked on 12/23/2021
4 answerFind the coefficient of $x^{24}$ in the equation ${left( {1 - x} right)^{ - 1}}.{left( {1 - {x^2}} right)^{ - 1}}.{left( {1 - {x^3}} right)^{ - 1}}$ My...
Asked on 12/23/2021
3 answerTypically, in taylor series, I see an expansion about $x=0$ for some function $f(x)$ that we're approximating. I always thought this was just done for simplicity since this...
Asked on 12/23/2021
1 answerHow to check if $phi(n)$ is a perfect square?Here, $phi$ is Euler's totient function. That is,$phi(n)$ counts the positive integers up to a given integer ...
Asked on 12/23/2021 by ppSpp
0 answer$Q)$ Let the $S_n$ be the number of the positive roots $(x,y,z)$ of the $x+2y+3z=n$, $n geq 6$ (I.e. $x>0, y>0$ and ...
Asked on 12/23/2021
0 answerThis question is vaguely related to this MO question of mine. Suppose $V$ is a (for simplicity, well-founded) model of $mathsf{ZF+AD}$. Let $mathbb{P}$ be a forcing...
Asked on 12/23/2021
0 answerLet $(X_n)_{n in mathbb{Z}_+}$be a martingale, $X_n(omega) neq 0$, and $X_{n+1}/X_n, X_{n+2}/X_n in L^1 (n in mathbb{Z}_+)$ Do the following hold for $n in mathbb{Z}_+$?...
Asked on 12/23/2021
1 answerI am building a linear programming model. For the sake of simplicity, Imagine that I'm trying to fill a bunch of items into a bunch of boxes. I have a...
Asked on 12/23/2021
1 answerI want to solve the following vector-differential equation for $phi$ in terms of the rest of the variables. $phi = -tau mathbf{v}cdot mathbf{F}+(mathbf{v}timesmathbf{s})cdotnabla_{mathbf{v}}phi$. I am new to vector...
Asked on 12/23/2021
0 answerSuppose I have 3 slices of bread, say $b_1$, $b_2$, $b_3$, and I want each to be double toasted. My toaster has a capacity of 2 slices...
Asked on 12/23/2021
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