jim

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54 Answers

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15	Prove that $x = 2$ is the unique solution to $3^x + 4^x = 5^x$ where $x \in \mathbb{R}$
11	Solve equations $\sqrt{t +9} - \sqrt{t} = 1$
6	Prove or disprove: If $x^T A x = 0 $ for all $x$, then $ A = 0 $.
5	Closed subsets $A,B\subset\mathbb{R}^2$ so that $A+B$ is not closed
5	If $f(x+y)=f(x)\cdot f(y)$, then $f(x)=e^{ax}$

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1,836 Reputation

+110	Solve equations $\sqrt{t +9} - \sqrt{t} = 1$
+5	If $f^2$ is an analytic function then so is $f$
+10	Prove that $x = 2$ is the unique solution to $3^x + 4^x = 5^x$ where $x \in \mathbb{R}$
+5	Möbius transformations form a simple group

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16 Questions

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6	Question from Artin's algebra book
5	If $f^2$ is an analytic function then so is $f$
4	Möbius transformations form a simple group
4	Irreducibility of the polynomial $f (x) = x^{2p} − x ^p + t$
3	center of $O_n(\mathbb R)$

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41 Tags

29 homework × 14	14 matrices × 6
26 algebra-precalculus × 2	7 abstract-algebra × 14
21 linear-algebra × 12	7 complex-analysis × 10
18 real-analysis × 9	7 group-theory × 5
15 proof-writing	7 functions × 4

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$Mathematics Stack Exchange$	Mathematics	1,836 rep	216
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16 Votes Cast

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