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• Today, 00:39
Thanks GJA ... your post is extremely helpful and clarifying ... Just a simple point of clarification ... You write: " ... ... Take...
3 replies | 45 view(s)
• Yesterday, 05:54
MarkFL replied to a thread Evolution Self-Destructs in Chat Room
Haha...you went straight for the big gun..."Darwin's Bulldog" himself.
10 replies | 134 view(s)
• Yesterday, 04:27
I just thought I would share with MHB members Duistermaat and Kolk "Remark on notation". This remark occurs after the definition of directional and...
3 replies | 45 view(s)
• Yesterday, 00:56
If we integrate, we get: \ln|f(x)|=C-x This implies: f(x)=\pm e^{C-x}=\pm e^Ce^{-x} Now, let c_1=\pm e^{C} and also let $c_1=0$...
7 replies | 95 view(s)
• Yesterday, 00:34
You haven't studied integration yet?
7 replies | 95 view(s)
• Yesterday, 00:15
Let's use the notation of Leibniz and write: \d{f}{x}=-f(x) Now what if we separate variables and write: \frac{1}{f(x)}\,df=-dx We have...
7 replies | 95 view(s)
• February 22nd, 2018, 23:41
Hello, and welcome to MHB! (Wave) Do you mean: f(x)=-f'(x) ?
7 replies | 95 view(s)
• February 22nd, 2018, 23:30
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 | 45 view(s)
• February 22nd, 2018, 23:01
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 | 27 view(s)
• February 22nd, 2018, 22:24
MarkFL replied to a thread Evolution Self-Destructs in Chat Room
According to what I could find online, Dr. Morris is a young Earth creationist with a degree in geological engineering. If you can point to the peer...
10 replies | 134 view(s)
• February 22nd, 2018, 22:14
MarkFL replied to a thread Evolution Self-Destructs in Chat Room
This argument sounds very similar to: Watchmaker analogy The above article contains some noteworthy criticisms of the analogy. :)
10 replies | 134 view(s)
• February 22nd, 2018, 15:25
It's a "rite of passage" for calculus students. (Smile)
3 replies | 55 view(s)
• February 22nd, 2018, 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 | 77 view(s)
• February 22nd, 2018, 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 | 77 view(s)
• February 22nd, 2018, 00:59
Thanks Country Boy ... ... appreciate the help ... Peter
4 replies | 77 view(s)
• February 22nd, 2018, 00:54
Thanks GJA ... that was really helpful ... Still reflecting on what you have said ... Thanks again ... Peter
2 replies | 63 view(s)
• February 21st, 2018, 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 | 49 view(s)
• February 21st, 2018, 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 | 162 view(s)
• February 21st, 2018, 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 | 77 view(s)
• February 21st, 2018, 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 | 42 view(s)
• February 21st, 2018, 00:31
\frac{5}{4}\cdot\frac{4}{3}=\frac{5}{3} :)
14 replies | 236 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 | 82 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 | 27 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 | 63 view(s)
• February 20th, 2018, 20:41
Thanks Krylov, ... followed your advice and obtained the result ... Thanks again ... Peter
3 replies | 82 view(s)
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### 14 Visitor Messages

1. Hi Bacterius, happy birthday!
2. Happy Birthday, Bacterius!! I hope you have a nice celebration with your close ones. . Thank you for being an active part of MHB!
3. Hey Bacterius, really liked the number theory challenge of yours. I wonder if that's an Olympiad problem. (PS : I have produced somewhat of a solution, but I am not sure if it's correct)
4. Hey, Happy Birthday! Here in the U.S., the 21st birthday in really the last milestone of youth, because that's the legal drinking age.
5. I hope that today is the beginning of a great year for you...Happy Birthday!
6. For what it's worth, you come across on the forums as someone with wisdom and maturity far beyond your years.
7. Happy Birthday!

You are no longer a teenager...it's all downhill from here.
8. Happy Birthday, mate!!
9. Happy birthday!
10. Hey Bacterius!

I thought your post in the sequence challenge was very enlightening and well-written! Excellent job!
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