Mathematics
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stochasm

Apparently, this user prefers to keep an air of mystery about them.

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  • Last seen Nov 10 '20 at 23:35

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12 Proving by induction: $2^n > n^3 $ for any natural number $n > 9$ Jul 7 '13
10 Closed form for $a_{n+1} = (a_n)^2+\frac{1}{4}$ Jul 8 '13
10 Show that $\int_1^{\infty } \frac{(\ln x)^2}{x^2+x+1} \, dx = \frac{8 \pi ^3}{81 \sqrt{3}}$ Mar 11 '15
9 If $f \circ g = f$, prove that $f$ is a constant function. Jun 8 '13
9 Prove that $(a-b) \mid (a^n-b^n)$ [duplicate] Jun 27 '13
9 Prove that if $\mathcal P(A) \cup \mathcal P(B)= \mathcal P(A\cup B)$ then either $A \subseteq B$ or $B \subseteq A$. [duplicate] Mar 29 '13
8 If $\cup \mathcal{F}=A$ then $A \in \mathcal{F}$. Prove that $A$ has exactly one element. Apr 12 '13
6 $S=\{(X,Y) \in \mathcal{P}(A) \times \mathcal{P}(A) \mid \forall x \in X \exists y \in Y(xRy)\}.$ If R is symmetric, must S be symmetric? Apr 28 '13
6 Prove that if $A \mathop \triangle B \subseteq A$ then $B\subseteq A$ Mar 28 '13
5 Suppose $R$ and $S$ are transitive relations on $A$. Prove that if $S \circ R \subseteq R \circ S$ then $R \circ S$ is transitive. Apr 26 '13
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