Mathematics
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stochasm
  • Member for 10 years, 2 months
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All Questions Answers
Score Newest
question
12
Closed form for $a_{n+1} = (a_n)^2+\frac{1}{4}$
Jul 8, 2013
answer
12
Proving by induction: $2^n > n^3 $ for any natural number $n > 9$
Jul 7, 2013
question
10
If $f \circ g = f$, prove that $f$ is a constant function.
Jun 8, 2013
question
10
Show that $\int_1^{\infty } \frac{(\ln x)^2}{x^2+x+1} \, dx = \frac{8 \pi ^3}{81 \sqrt{3}}$
Mar 11, 2015
question
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, 2013
question
9
If $\cup \mathcal{F}=A$ then $A \in \mathcal{F}$. Prove that $A$ has exactly one element.
Apr 12, 2013
question
9
Prove that $(a-b) \mid (a^n-b^n)$ [duplicate]
Jun 27, 2013
question
6
Prove that if $A \mathop \triangle B \subseteq A$ then $B\subseteq A$
Mar 28, 2013
question
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, 2013
question
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, 2013

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