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39 Questions

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7	Finding solution in naturals to $a^b=b^a$ with the help of $f(x)=\frac{\ln(x)}{x}$
7	Every partial order can be extended to a linear ordering
5	Is $\varsigma$ equivalence relation?
4	Chain of length $2^{\aleph_0}$in $ (P(\mathbb{N}),\subseteq)$
3	Infinite set as union of disjoint countable sets.

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334 Reputation

+5	Infinite set as union of disjoint countable sets.
+5	Proving $(\operatorname{ker}T)^{\perp}\subseteq \operatorname{Im} T^{*}$
+10	Functional equation $f(xy)=f(x)+f(y)$
+5	Darboux integrable periodic function is integrable on any closed and bounded interval

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3 Answers

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0	Constant $f:[\mathbb{N}]^2\to \{1,2\}$ (part 2)
0	How one should solve $x^2+\frac{81x^2}{(x+9)^2}=40$
-1	True or False: If $f>0$ is integrable on $[a,b]$ then $\sqrt{f}$ is integrable

22 Tags

0 elementary-set-theory × 27	0 equivalence-relations × 2
0 calculus × 4	0 functions × 2
0 relations × 4	0 cardinals × 2
0 linear-algebra × 3	0 order-theory × 2
0 complex-numbers × 2	0 ordinals × 2

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