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Previously posted at MathOverflowSuppose we have $p$ quadratic equationsbegin{eqnarray} left{ begin{array}{lr} ...
Asked on 11/06/2021 by user6943953
0 answerThe original Euler's phi function goes like this.$$phi(n)=nprod_{p|n} (1-1/p)$$But I want to prove a modified version of it. $psi(n) $ : The number of...
Asked on 11/06/2021 by navyism
2 answerLet $X subset Y$ be a continuous embedding of reflexive Banach spaces (with different norms). If $Tcolon X to Y$ is a bounded linear operator such that its...
Asked on 11/06/2021
1 answerI was reading the lecture notes about probability and random processes, Lecture Notes, then I'm stucked here:Example 1.3.6 Let $Omega = mathbb R$ and suppose that...
Asked on 11/06/2021 by Marcelo RM
0 answerLet $p(theta)$ be a real trigonometric polynomial of degree $N>0$$$p(theta) = sum_{j=-N}^N a_{|j|}e^{text ijtheta}$$and for any $0le s<N$ define the left trucation...
Asked on 11/06/2021 by Exodd
2 answeri have a full d-node tree (by that mean a tree that each node has exactly d nodes as kids).My question is, if i get a random k node...
Asked on 11/06/2021 by Aggelos
3 answerFirst, I know that the series converges when |x+2| < R and diverges when |x+2| > R. So now I have that the radius...
Asked on 11/06/2021
1 answerGiven two lines in the parametric form (where $p$ is a point on the line, $hat{v}$ is a unit direction vector and $t$ is the parameter) $q_0 = p_0 +...
Asked on 11/06/2021 by plasmacel
1 answerThis proof seems odd to me. I have come to the conclusion that I will use induction. I would like to see a smoother way or just some improvements on...
Asked on 11/06/2021 by JacobCheverie
3 answerPair of tangents drawn from a point $(x_1,y_1)$ to a circle $x^2+y^2=a^2$ is given by $$SS_1=T^2implies(x^2+y^2-a^2)(x_1^2+y_1^2-a^2)=(xx_1+yy_1-a^2)^2$$This is stated many where but most do...
Asked on 11/06/2021
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