User crf - Mathematics Stack Exchange

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	1,111 reputation	bio	website		visits	member for	1 year, 7 months
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2

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86

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Help understanding proof of l'Hospital's rule from Rudin

dec 4 at 1:05 crf 1,111

2

votes

2

answers

92

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Help understanding Rudin's proof of the chain rule

calculus real-analysis limit derivatives

dec 2 at 10:43 wj32 2,234

2

votes

1

answer

97

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How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality

inequality economics utility

sep 17 at 9:22 ivan 878

2

votes

1

answer

102

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Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?

probability-theory field-theory

sep 7 at 0:42 Qiaochu Yuan 118k

2

votes

2

answers

96

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From which areas of mathematics does consumer theory in microeconomics spawn?

economics

aug 31 at 23:13 Michael Greinecker♦ 12.5k

2

votes

1

answer

147

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Find the probability that the second customer to arrive has to wait to be served if arrival time is exponential and serving time is uniform

homework probability probability-distributions queueing-theory

aug 13 at 8:43 Did 103k

2

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3

answers

98

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Problem relating convex sets and optimization

homework convex-analysis economics

dec 24 '11 at 16:30 Byron Schmuland 15.4k

2

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3

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173

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Is the set of all $n\times n$ matrices, such that for a fixed matrix B AB=BA, a subspace of the vector space of all $n\times n$ matrices?

homework linear-algebra vector-spaces

oct 20 '11 at 18:58 Jack Schmidt 20.3k

1

vote

1

answer

22

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Proving that if $f_n \rightarrow f$ uniformly and $f_n$ is integrable then $\int_a^b f_n d\alpha\rightarrow \int_a^b fd\alpha$

real-analysis

apr 19 at 2:30 Easy 2,537

1

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1

answer

38

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Prove that the limit of the inner product is equal to the inner product of the limits in $L^2$

homework real-analysis

apr 5 at 13:41 crf 1,111

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0

answers

30

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Sensitivity to error of least squares versus “least sums”

homework linear-algebra

feb 6 at 10:29 user1551 16.7k

1

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2

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80

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When $\epsilon$ shrinks, does $\delta$ necessarily? If so, my proof makes sense. If not, can you help me fix it?

real-analysis general-topology continuity

nov 20 at 8:53 Rhys 1,306

1

vote

2

answers

37

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Proof that $\lim_{n\rightarrow\infty}\frac{n^\alpha}{(1+p)^n}=0$ from Rudin's Principles of Mathematical Analysis, involving the binomial theorem

real-analysis sequences-and-series binomial-coefficients

nov 16 at 7:15 crf 1,111

1

vote

2

answers

55

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Help grasping intuitively: if $\{p_n\}$ is a sequence in a compact metric space $X$, then some subsequence of $\{p_n\}$ converges to a point in $X$

real-analysis compactness

nov 16 at 4:03 Matt E 58.1k

1

vote

1

answer

144

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Proving Schwarz inequality for complex numbers using calculus

homework real-analysis inequality multivariable-calculus

sep 28 at 11:45 Martin Argerami 16.9k

1

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3

answers

91

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I've been puzzling for two days now: how to prove, basically, that $b^x$ is increasing in $x$? (Rudin Chapter 1, problem 6)

homework real-analysis

sep 20 at 1:25 Arkamis 7,957

1

vote

1

answer

57

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Is this a legitimate way to show that $[-ze^{-z^2/2}]_{-\infty}^{\infty}=0$? (Proving a statement about a function of a normal random variable)

homework limit probability-distributions normal-distribution

aug 7 at 5:38 André Nicolas 161k

1

vote

2

answers

118

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Why do these two methods of calculating the probability of winning a best-of-7 series give the same answer?

probability

jul 18 at 19:26 Arkamis 7,957

1

vote

1

answer

258

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Why does the “auxiliary problem” method work to find a feasible dictionary?

optimization linear-programming

may 23 '12 at 10:58 Will Orrick 2,532

1

vote

1

answer

443

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Proof involving a convex set

homework convex-analysis economics

nov 12 '11 at 4:03 Srivatsan 15.6k

1

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1

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383

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Show that $\det(A-\lambda I)=\det(B-\lambda I)$

homework linear-algebra

oct 5 '11 at 12:28 Michael Hardy 48.2k

0

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2

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259

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Finding the matrix associated with a linear transformation

homework linear-algebra matrices vector-spaces

apr 1 at 17:02 somaye 1,963

0

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3

answers

72

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Find a nonzero $3\times 3$ matrix with all 0 eigenvalues. Is there a systematic way?

linear-algebra matrices eigenvalues

mar 5 at 14:27 Sugata Adhya 1,618

0

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1

answer

61

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Prove that there is a subsequence of functions which converges uniformly

homework real-analysis functional-analysis

mar 4 at 12:02 Thomas 1,223

0

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1

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33

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Does this problem make sense? “Give an example of a set $F\subset C([0,1])$ which is pointwise bounded but not bounded”

homework real-analysis functional-analysis

mar 1 at 7:37 Hagen von Eitzen 42.6k

0

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1

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40

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Generalizing $\sum_{n=1}^{N}f(n)=\int_{a}^{b}f(x)dx+\int_{a}^{b}f'(x)\langle x\rangle dx+f(a)\langle a\rangle-f(b)\langle b\rangle$

homework real-analysis integration summation

jan 31 at 23:21 crf 1,111

0

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3

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67

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Just having problems following one crucial step in the proof of theorem 2.36 in Rudin's Principles of Mathematical Analysis

real-analysis compactness

nov 15 at 6:35 Brian 1,404

0

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1

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36

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Either find an example of a differentiable downward-sloping function $p$ such that $\frac{d}{dx}[p(x)+xp'(x)]<0$

calculus economics

oct 21 at 23:42 Gerry Myerson 85.9k

crf

58 Questions