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- 12:32, 24 July 2008 (diff | hist) . . (+11) . . A.3 Old Kiwi (current)
- 12:32, 24 July 2008 (diff | hist) . . (+11) . . A.3 OldKiwi (current)
- 12:30, 24 July 2008 (diff | hist) . . (+1,436) . . N A.3 Old Kiwi (New page: A.3) Suppose that <math>y>0, \ x \in (\frac{1}{2}, \frac{3}{2})</math> and <math>0<h<\frac{1}{4}</math>, say. Then<math> -\frac{e^{-(x+h)y}-e^{-xy}}{h} \frac{1}{y^3+1} =- \frac{d}{dx} ...)
- 12:30, 24 July 2008 (diff | hist) . . (+1,436) . . N A.3 OldKiwi (New page: A.3) Suppose that <math>y>0, \ x \in (\frac{1}{2}, \frac{3}{2})</math> and <math>0<h<\frac{1}{4}</math>, say. Then<math> -\frac{e^{-(x+h)y}-e^{-xy}}{h} \frac{1}{y^3+1} =- \frac{d}{dx} ...)
- 12:00, 24 July 2008 (diff | hist) . . (+36) . . Problem set 10: These problems were all given by Dr. Davis on an exam Old Kiwi
- 12:00, 24 July 2008 (diff | hist) . . (+35) . . Problem set 10: These problems were all given by Dr. Davis on an exam OldKiwi
- 11:33, 24 July 2008 (diff | hist) . . (+755) . . N A.1 Old Kiwi (New page: Let G={x | f is continuous at x} Pick some <math>x \in G.</math> Then <math>\exists \ \delta>0 \ s.t.\ |x-y|<\delta \Rightarrow |f(x)-f(y)| < \frac{1}{2}</math>. But since f is integer ...) (current)
- 11:33, 24 July 2008 (diff | hist) . . (+755) . . N A.1 OldKiwi (New page: Let G={x | f is continuous at x} Pick some <math>x \in G.</math> Then <math>\exists \ \delta>0 \ s.t.\ |x-y|<\delta \Rightarrow |f(x)-f(y)| < \frac{1}{2}</math>. But since f is integer ...) (current)
- 11:21, 24 July 2008 (diff | hist) . . (+35) . . Problem set 10: These problems were all given by Dr. Davis on an exam OldKiwi
- 11:21, 24 July 2008 (diff | hist) . . (+36) . . Problem set 10: These problems were all given by Dr. Davis on an exam Old Kiwi
- 11:15, 24 July 2008 (diff | hist) . . (+925) . . N B.1 Old Kiwi (New page: B.1 By egorov, <math>\forall \ k</math> we may pick a set <math>E_k</math> such that <math>m(E_k)<\frac{1}{2^k}</math> and <math>f_n \rightarrow 0</math> uniformly off of <math>E_k</math>...) (current)
- 11:15, 24 July 2008 (diff | hist) . . (+925) . . N B.1 OldKiwi (New page: B.1 By egorov, <math>\forall \ k</math> we may pick a set <math>E_k</math> such that <math>m(E_k)<\frac{1}{2^k}</math> and <math>f_n \rightarrow 0</math> uniformly off of <math>E_k</math>...) (current)
- 11:08, 24 July 2008 (diff | hist) . . (+36) . . Problem set 10: These problems were all given by Dr. Davis on an exam Old Kiwi
- 11:08, 24 July 2008 (diff | hist) . . (+35) . . Problem set 10: These problems were all given by Dr. Davis on an exam OldKiwi
- 15:04, 22 July 2008 (diff | hist) . . (+1) . . Exam 9.2 Old Kiwi (current)
- 15:04, 22 July 2008 (diff | hist) . . (+1) . . Exam 9.2 OldKiwi (current)
- 15:03, 22 July 2008 (diff | hist) . . (-7) . . Exam 9.2 Old Kiwi
- 15:03, 22 July 2008 (diff | hist) . . (-7) . . Exam 9.2 OldKiwi
- 14:57, 22 July 2008 (diff | hist) . . (+728) . . N Exam 9.2 Old Kiwi (New page: 2) Pick a partition P of [a,b] <math>a=x_0<x_1<...<x_n=b</math> Pick <math>c_i \in (x_0, x_1) \ i=1,...,N.</math> Let n=N Define <math>c_{n+1}=b</math> and <math>c_0=a</math>. Then ...)
- 14:57, 22 July 2008 (diff | hist) . . (+728) . . N Exam 9.2 OldKiwi (New page: 2) Pick a partition P of [a,b] <math>a=x_0<x_1<...<x_n=b</math> Pick <math>c_i \in (x_0, x_1) \ i=1,...,N.</math> Let n=N Define <math>c_{n+1}=b</math> and <math>c_0=a</math>. Then ...)
- 14:42, 22 July 2008 (diff | hist) . . (+37) . . Sharks' answers Old Kiwi (current)
- 14:42, 22 July 2008 (diff | hist) . . (+36) . . Sharks' answers OldKiwi (current)
- 14:20, 22 July 2008 (diff | hist) . . (+1,128) . . Exam 9.9 Old Kiwi (current)
- 14:20, 22 July 2008 (diff | hist) . . (+1,128) . . Exam 9.9 OldKiwi (current)
- 13:57, 22 July 2008 (diff | hist) . . (+1,336) . . N Exam 9.9 Old Kiwi (New page: 9b) Let <math>[a,b] \subset [0,1]</math>. Since F is continuous, <math>F([a,b])</math> is compact, thus <math>\exists \alpha , \beta \in [a,b]</math> such that <math>F(\alpha) \leq F(x) ...)
- 13:57, 22 July 2008 (diff | hist) . . (+1,336) . . N Exam 9.9 OldKiwi (New page: 9b) Let <math>[a,b] \subset [0,1]</math>. Since F is continuous, <math>F([a,b])</math> is compact, thus <math>\exists \alpha , \beta \in [a,b]</math> such that <math>F(\alpha) \leq F(x) ...)
- 13:05, 22 July 2008 (diff | hist) . . (+34) . . Sharks' answers Old Kiwi
- 13:05, 22 July 2008 (diff | hist) . . (+33) . . Sharks' answers OldKiwi
- 12:34, 22 July 2008 (diff | hist) . . (+362) . . Exam 9.4 Old Kiwi (current)
- 12:34, 22 July 2008 (diff | hist) . . (+362) . . Exam 9.4 OldKiwi (current)
- 12:25, 22 July 2008 (diff | hist) . . (+872) . . N Exam 9.4 Old Kiwi (New page: 4a) 4b) <math>lim_{n\rightarrow \infty} \int_1^{n^2} \frac{n cos (\frac{x}{n^2})}{1+nln(x)}dx = lim_{n\rightarrow \infty} \int_1^{\infty} \frac{n cos (\frac{x}{n^2})}{1+nln(x)}\chi_{(1,...)
- 12:25, 22 July 2008 (diff | hist) . . (+872) . . N Exam 9.4 OldKiwi (New page: 4a) 4b) <math>lim_{n\rightarrow \infty} \int_1^{n^2} \frac{n cos (\frac{x}{n^2})}{1+nln(x)}dx = lim_{n\rightarrow \infty} \int_1^{\infty} \frac{n cos (\frac{x}{n^2})}{1+nln(x)}\chi_{(1,...)
- 12:03, 22 July 2008 (diff | hist) . . (+40) . . Sharks' answers Old Kiwi
- 12:03, 22 July 2008 (diff | hist) . . (+39) . . Sharks' answers OldKiwi
- 21:12, 21 July 2008 (diff | hist) . . (+2) . . Exam 9.5 Old Kiwi
- 21:12, 21 July 2008 (diff | hist) . . (+2) . . Exam 9.5 OldKiwi
- 21:11, 21 July 2008 (diff | hist) . . (+98) . . Exam 9.5 Old Kiwi
- 21:11, 21 July 2008 (diff | hist) . . (+98) . . Exam 9.5 OldKiwi
- 20:56, 21 July 2008 (diff | hist) . . (+81) . . Exam 9.5 Old Kiwi
- 20:56, 21 July 2008 (diff | hist) . . (+81) . . Exam 9.5 OldKiwi
- 20:53, 21 July 2008 (diff | hist) . . (+28) . . Exam 9.5 Old Kiwi
- 20:53, 21 July 2008 (diff | hist) . . (+28) . . Exam 9.5 OldKiwi
- 20:50, 21 July 2008 (diff | hist) . . (+1,090) . . Exam 9.5 Old Kiwi
- 20:50, 21 July 2008 (diff | hist) . . (+1,090) . . Exam 9.5 OldKiwi
- 20:02, 21 July 2008 (diff | hist) . . (+257) . . Exam 9.5 Old Kiwi
- 20:02, 21 July 2008 (diff | hist) . . (+257) . . Exam 9.5 OldKiwi
- 19:41, 21 July 2008 (diff | hist) . . (+883) . . N Exam 9.5 Old Kiwi (New page: Lemma: If <math> f </math> is as described then <math> f(x)=0 \ \forall \ x \in [0, \frac{1}{2c}]</math>. Pf: Suppose <math>\int_0^\frac{1}{2c} f(t) dt \neq 0</math>. Let <math>\epsil...)
- 19:41, 21 July 2008 (diff | hist) . . (+883) . . N Exam 9.5 OldKiwi (New page: Lemma: If <math> f </math> is as described then <math> f(x)=0 \ \forall \ x \in [0, \frac{1}{2c}]</math>. Pf: Suppose <math>\int_0^\frac{1}{2c} f(t) dt \neq 0</math>. Let <math>\epsil...)
- 18:59, 21 July 2008 (diff | hist) . . (+33) . . N Sharks' answers Old Kiwi (New page: #5 Solution)
- 18:59, 21 July 2008 (diff | hist) . . (+32) . . N Sharks' answers OldKiwi (New page: #5 Solution)
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