# Theorem

That's it. $\sum 1$

 Nov 30 awarded Popular Question Nov 26 awarded Popular Question Nov 21 accepted Conjecture similar to Fermat's Theorem. Nov 21 asked Conjecture similar to Fermat's Theorem. Nov 18 comment can you prove that:$f \in C^1$ $\implies$ $f$ LipschitzThank you sir :) Nov 18 comment can you prove that:$f \in C^1$ $\implies$ $f$ LipschitzI have a little doubt, isn't $df$ with respect to $t$ , then how can we justify the inequality ? Nov 17 comment Question about $f :\mathbb{R}\rightarrow \mathbb{R}$ defined as $f(x)=|x|^{\frac{3}{2}}$ (TIFR GS $2010$)Answer number $c$ is correct. What is your conclusion ? Nov 15 accepted Partial derivative in higher dimension . Nov 15 asked Partial derivative in higher dimension . Nov 13 comment Do the non-units in a commutative ring form an ideal?@rschwieb : Thank you . I found the fallacy in my argument.Let $I$ be a set of zero divisors of a ring.Then for $r\in R$ and $a\in I$, $r.a$ is also a zero divisor . But the problem seems to be with the group structure of an ideal with respect to addition , let $a\in I , b\in I$ then my thoughts were that $a+b\in I$ , because if $m.a=0$ and $n.b=0 \implies (a+b)m.n=0$ which is true , but that wouldn't tell me that (a+b) is a zero divisor while it could be that $m.n=0$. I would be glad if u could let me know if i have found out the loophole in my reasoning . :) Nov 13 comment Do the non-units in a commutative ring form an ideal?@rschwieb : Thanks, In commutative ring with only {0,1} as idempotent elements , the zero divisors form an ideal . I hope this statement is true .:) Nov 13 comment Double derivative of the composite of functionsThe first line seem to be incorrect , i guess you meant $\frac {\partial (f o g)}{\partial x_i}$ Nov 13 comment Do the non-units in a commutative ring form an ideal?Thats not true like @DanielFischer said , but over a commutative ring zero divisors form an ideal . Nov 13 accepted Making sense of the notation of Chain of critical points Nov 13 comment Making sense of the notation of Chain of critical pointsOk got it , that "and" makes a lot of difference . thanks :) Nov 13 answered Evaluate $\lim_{x\rightarrow 0} \frac{\sin (6x)}{\sin(2x)}$ without L'Hopital Nov 13 asked Making sense of the notation of Chain of critical points Oct 4 awarded Popular Question Oct 2 awarded Popular Question Jul 24 comment Reading multiplicity of cusps , singularity etc from initial polynomial.Dear @GeorgesElencwajg : If i am not wrong my question might have mislead you to think that the question that i am asking has to do with programming but this is not the case here i think. This is the way we adapted to find the different informations about a curve . Generally, from what i have heard , one can read the tangents of a curve at some point from its initial polynomial after doing some suitable co-ordinate transformations .