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• Today, 15:25
It's a "rite of passage" for calculus students. (Smile)
3 replies | 22 view(s)
• Today, 07:20
l will now attempt to, explicitly, complete the demonstration that Df(a) v = \sum_{ 1 \le j \le n } v_j D_j f(a) \ \ \ \ (v \in \mathbb{R}^n ) ...
4 replies | 62 view(s)
• Today, 01:11
Here is an attempt to show Df(a) v = \sum_{ 1 \le j \le n } v_j D_j f(a) \ \ \ \ (v \in \mathbb{R}^n ) Now we have ... Df(a) v =...
4 replies | 62 view(s)
• Today, 00:59
Thanks Country Boy ... ... appreciate the help ... Peter
4 replies | 62 view(s)
• Today, 00:54
Thanks GJA ... that was really helpful ... Still reflecting on what you have said ... Thanks again ... Peter
2 replies | 60 view(s)
• Yesterday, 23:26
Here is this week's POTW: Let $ABCD$ be a convex quadrilateral with $\overline{AB}=\overline{AD}$. Let $T$ be a point on the diagonal...
0 replies | 34 view(s)
• Yesterday, 23:21
No one answered this weeks POTW...my solution follows: (a) Apply conservation of angular momentum (subscripts of $R$ pertain to the rod, while...
2 replies | 149 view(s)
• Yesterday, 07:38
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
4 replies | 62 view(s)
• Yesterday, 06:50
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
1 replies | 40 view(s)
• Yesterday, 00:31
\frac{5}{4}\cdot\frac{4}{3}=\frac{5}{3} :)
14 replies | 222 view(s)
• February 20th, 2018, 23:10
MarkFL posted a visitor message on Peter's profile
Sometimes editing a thread title is an issue, but the issue is with vBulletin. If you ever want to change a thread title, and can't, just let me know...
• February 20th, 2018, 22:24
Thanks again Krylov .... BUT ... just a comment on D&K's proof .... I have to say that D&K's proof of Hadamard's Lemma though valid, is not...
3 replies | 77 view(s)
• February 20th, 2018, 21:57
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
0 replies | 25 view(s)
• February 20th, 2018, 21:26
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
2 replies | 60 view(s)
• February 20th, 2018, 20:41
Thanks Krylov, ... followed your advice and obtained the result ... Thanks again ... Peter
3 replies | 77 view(s)
• February 20th, 2018, 17:09
I'm going to walk through this problem, using your substitution...let's begin with: I=\int_{0}^{\Large\frac{3\pi}{4}}\int_{0}^{\pi}\int_{0}^{1}...
14 replies | 222 view(s)
• February 20th, 2018, 16:30
Where did the $\cos(\theta)$ come from?
14 replies | 222 view(s)
• February 20th, 2018, 16:28
I was simply taught that a linear function has no concavity...just recalling from memory. :)
20 replies | 259 view(s)
• February 20th, 2018, 16:24
Let's look at an example that more clearly demonstrates the statement regarding concavity isn't always true. Consider: H(x)=\ln(x+1) And so: ...
20 replies | 259 view(s)
• February 20th, 2018, 15:58
Perhaps there are differences in terminology...I was taught that a function is concave up on an interval when its second derivative is positive, and...
20 replies | 259 view(s)
• February 20th, 2018, 15:47
Indeed, and is why I resorted to looking for a function satisfying the given criteria, that is not concave up on the given interval. :)
20 replies | 259 view(s)
• February 20th, 2018, 15:41
You want to reverse the limits of integration, because of the negative sign in the differential resulting from your $u$-substitution (I don't know...
14 replies | 222 view(s)
• February 20th, 2018, 14:37
Suppose $h(t)=c$, where $0<c$...what is $H(x)$?
20 replies | 259 view(s)
• February 20th, 2018, 07:17
Oh! OK ... get the idea ... Thanks ... Peter
2 replies | 59 view(s)
• February 20th, 2018, 07:04
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
3 replies | 77 view(s)
• February 20th, 2018, 00:23
I am reading "Multidimensional Real Analysis I: Differentiation" by J. J. Duistermaat and J. A. C. Kolk ... I am focused on Chapter 2:...
2 replies | 59 view(s)
• February 19th, 2018, 22:26
I now understand the above limit ... thanks to Ackbach and Krylov ... Thanks to you both ... Peter
3 replies | 79 view(s)
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