Quickbeam2k1

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15 Answers

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3	Prove if nonempty $K \subset\mathbb{R}$ is compact, then both sup $K$ and inf $K$ exist and are elements of $K$.
3	How to show that $\phi_a(z)=\frac{z-a}{1-\bar{a}z}$ is mapping $\phi_a(z):\mathbb{D} \rightarrow \mathbb{D}$?
2	PDE Question in Evans
1	If $f(x) \le g(x) \le h(x)$ for all $x\in D$ and $f$, $h$ are Riemann integrable, then so is $g$. True or False? (Check my work)
1	Proof of Inner Product Inequality

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325 Reputation

+35	Is there a smooth compact set between any two compact sets?
+2	How to prove ${{a}^{a}}{{b}^{b}}\ge {{\left(\frac{a+b}{2}\right)}^{a+b}}$ ?thanks.
+10	If $f(x) \le g(x) \le h(x)$ for all $x\in D$ and $f$, $h$ are Riemann integrable, then so is $g$. True or False? (Check my work)
+10	PDE Question in Evans

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4 Questions

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7	Is there a smooth compact set between any two compact sets?
2	A question concerning measurability of a function
1	From weak and weak star to norm convergence
0	A weak chainrule [Urbano, Intrinsic Scaling]

22 Tags

6 real-analysis × 5	2 calculus × 2
3 complex-analysis	2 derivatives × 2
2 pde × 3	1 measure-theory × 3
2 analysis × 2	1 homework × 2
2 integral × 2	1 differential-equations

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