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# 14 Posts

 Mar 5 asked Continuity Properties Dec 12 answered Prove equivalence $(P \Rightarrow Q) \land (P \Rightarrow R) \Leftrightarrow P\Rightarrow(Q\land R)$ Dec 10 asked How do mathematicians think about the existence of numbers? Dec 10 answered Need help with simple proof by mathematical induction Dec 9 asked left regular representation of $G$ with respect to $g$ Dec 9 asked prove that $\text{lcm}(\text{lcm}(a,b),c)=\text{lcm}(a,\text{lcm}(b,c))$ Dec 2 asked An abelian group is not isomorphic to an non-abelian group. Dec 2 asked Show that $\Bbb{Z}/4\Bbb{Z}\times\Bbb{Z}/2\Bbb{Z}\not\cong\Bbb{Z}/8\Bbb{Z}$ Nov 27 asked A noneempty subset $H$ of a finite goup $G$ is a subgroup if and only if $H$ is closed Nov 18 asked Group(Non-abelian) Multiplication Table Nov 18 asked Order of a group element. [$\operatorname{ord}(x)$] Oct 23 answered How can I Prove that $[(p \to\neg q) \wedge q] \to \neg p$ is a tautology? Oct 22 asked Prove that the function $\Phi :\mathcal{F}(X,Y)\longrightarrow Y$, is not injective. Oct 9 asked Proving $\sum_{i=1}^{n}{\frac{i}{2^i}}=2-\frac{n+2}{2^n}$ by induction.