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5:58 AM
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Q: Join/slice adjunction and lifting problems

PhilLet $C \in sSet$ 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 $- * X$....

In mathematics, more specifically category theory, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex, quategory) is a generalization of the notion of a category. The study of such generalizations is known as higher category theory. Quasi-categories were introduced by Boardman & Vogt (1973). André Joyal has much advanced the study of quasi-categories showing that most of the usual basic category theory and some of the advanced notions and theorems have their analogues for quasi-categories. An elaborate treatise of...
 
 
1 hour later…
7:24 AM
I have suggested an edit to remove the tag on the following question. It has to do with either ODEs or PDEs, but I'm not sure which, so I have only added the tag to it.
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Q: How to find fundamental solution of nonhomogeneous linear second order differential equation?

ShtI 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 :${x^2-x,cosx}$

 
8:20 AM
The edit mentioned above was approved: math.stackexchange.com/review/suggested-edits/1619987
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Q: How to find the fundamental solution of nonhomogeneous linear second order differential equation?

ShtI 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...

The question is a bit unclear, since you mention differential equation, but no derivatives are mentioned in the text of the problem. — Martin Sleziak 38 secs ago
 
 
9 hours later…
5:28 PM
A new tag was created. This tag was created and removed before - in 2013 and in 2017.
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Q: Is $\ \displaystyle\sum_{n\in\mathbb{N}}\sin(n)\ $ bounded?

Adam RubinsonIs $\ \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 ...

 

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