Let $C \in sSet$ be a quasicategory. $*$ denote the join of simplicial sets. Then consider $- * X \colon sSet \to sSet_{X/}$, where $sSet_{X/}$ is the slice category of simplicial set under $X$, with objects $X \to Y$. For $p \colon X \to Y$, $X_{/p}$ is $p$ evaluated at right adjoint of $- * X$....

I have a second-order differential nonhomogeneous linear equations? And their solution $y(1)=c_1x^2+c*cosx$ $y(2)=c_2x^2-c_3x+c*cosx$ $y(3)=x^2-c_4x+c*cosx$ what is the set of fundamental solution this kind of differential equation? I think fundamental set of solution is :${x^2-x,cosx}$

I have a second-order nonhomogeneous linear differential equation, and its solution satisfies: \begin{alignat}{10} y(1)&{}={}& c_1x^2 & & &{}+{}& c*\cos x\\ y(2)&{}={}& c_2x^2 &{}-{}& c_3x &{}+{}& c*\cos x\\ y(3)&{}={}& x^2 &{}-{}& c_4x &{}+{}& c*\cos x \end{alignat} What is the set of fundam...

Is $\ \displaystyle\sum_{n\in\mathbb{N}}\sin(n)\ $ bounded? More precisely, does there exist $\ M_1,M_2 \in \mathbb{R},\ $ such that $M_1<\displaystyle\sum_1^n \sin(n)<M_2\ $ for every $\ n\in\mathbb{N}\ ?$ Would it be possible to use a variant of the integral test for convergence, but instead ...