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Consider the space of parametrized curves $p_1,$ $x=e^{log(n_i)e^t}$ $y=e^{log(n_i)e^{-t}}$ for $-infty<Re(t)<infty$ and $n_iin(0,1)$ for each $i.$ Revolve the space of parametrized curves about ...
Asked on 12/15/2021
0 answerI know how to prove the equality when $m$ is a rational number and $n$ is an integer, but do not know how to go about proving this...
Asked on 12/15/2021 by Orlin Aurum
3 answerIf a complex number z satisfies $log _{frac{1}{2}}left(frac{|z|^{2}+2|z|+6}{2|z|^{2}-2|z|+1}right)<0$, then locus of point represented by z isSince $log _{frac{1}{2}}left(frac{|z|^{2}+2|z|+6}{2|z|^{2}-2|z|+1}right)<0$ $therefore frac{|z|^{2}+2|z|+6}{2|z|^{2}-2|z|+1}<1$$Rightarrow|z|^{2}-4|z|-5>0$$Rightarrow(|z|-5)(|z|+1)>0 Rightarrow|z|>5 text{...
Asked on 12/15/2021
0 answerI am looking for some good references on modeling the state space trajectories of a network whose architecture changes as a function of time. The specific application is described below,...
Asked on 12/15/2021 by Neuroguy
0 answerHere's the picture I have in my head of Model Theory:a theory is an axiomatic system, so it allows proving some statements that apply to all models consistent with the...
Asked on 12/15/2021
5 answerI tried substituting $p(t)$ with $p(t-1)$ and then taking the transformation to get some kind of annhilating polynomial but that just gave me trivial solutions. Also after spending...
Asked on 12/13/2021
2 answerThe following functional series are developments using Laguerre polynomials, the second is the square of the Laguerre polynomial, the first is half as fast as the second being this is...
Asked on 12/13/2021 by Charlessilva
0 answerIf the sum $$S=frac14+frac1{10}+frac1{82}+frac1{6562}+cdots+frac1{3^{2^{100}}+1}$$is expressed in the form $frac pq,$ where $p,qinmathbb N$ and $gcd(p, q) =1.$ Then what is smallest prime factor of ...
Asked on 12/13/2021
1 answerLet us define a Red-Green Tower:Each level of the red-green tower should contain blocks of the samecolor.At every Increase in the level, number of blocks in that level is...
Asked on 12/13/2021 by Het
2 answerThe ODE is $$-B^{primeprime}r(r-1)+B^prime+left(dfrac{1}{r}+dfrac{r^3}{exp(-r)}right)B=0$$ where a prime indicates a derivative wrt $r$. I need to find the solution around $r=1$. The exponential blocks me, if it weren't...
Asked on 12/13/2021
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