• Today, 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 | 125 view(s)
• Today, 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...
2 replies | 31 view(s)
• Today, 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 | 92 view(s)
• Today, 00:34
You haven't studied integration yet?
7 replies | 92 view(s)
• Today, 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 | 92 view(s)
• Yesterday, 23:41
Hello, and welcome to MHB! (Wave) Do you mean: f(x)=-f'(x) ?
7 replies | 92 view(s)
• Yesterday, 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:...
2 replies | 31 view(s)
• Yesterday, 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 | 25 view(s)
• Yesterday, 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 | 125 view(s)
• Yesterday, 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 | 125 view(s)
• Yesterday, 15:25
It's a "rite of passage" for calculus students. (Smile)
3 replies | 55 view(s)
• Yesterday, 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 | 76 view(s)
• Yesterday, 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 | 76 view(s)
• Yesterday, 00:59
Thanks Country Boy ... ... appreciate the help ... Peter
4 replies | 76 view(s)
• Yesterday, 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 | 45 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 | 160 view(s)
• February 21st, 2018, 13:34
$$\int_1^{\infty}\frac1x \, dx$$ does not converge. If you were to try to get an antiderivative, the only candidate is $\ln|x|$, so formally, you'd...
7 replies | 110 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 | 76 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 | 228 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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### 37 Visitor Messages

1. Happy birthday, caffeinemachine!
2. Yes caffeinemachine, I have a different solution of my own. I would have posted it along with johng's yesterday, but I was in a hurry, as I needed to get other things done. I might post it later today.
3. Thank you! It's been a bit hectic, what with moving to Kansas, and all. But I did have a great birthday.
4. Hi caffeinemachine. Very sorry that this is happening. Could you make a thread in our feedback forum describing what is happening when you get a moment? We will try to fix it ASAP.
5. My interests lie in dispersive wave equations and geometric analysis. You have a pretty interesting combination: combinatorics and geometry. So will you do combinatorial geometry or geometric combinatorics?
6. Hi caffeinemachine! I just wanted to wish you a happy birthday, and I hope you're having a great time.
7. Hey, just wanted to thank you. I didn't know the command \widehat existed until I saw you using it in your question about modules. Hope you get an answer, haha.

Best wishes.
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I wish you luck, happiness, health and safety today, tomorrow and beyond...

As you look back on yesterday, may your memories be warm ones. As you celebrate today, may your heart be filled with happiness and joy. As you look ahead to tomorrow, may your deepest hopes and dreams come true for you!

I wish that for every extra candle on your cake, you receive an extra reason to smile. Happy Birthday to you!
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#### Basic Information

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April 13, 1991 (26)
Biography:
I obtained a master's degree in mechanical engineering in May 2014.
Then I went on to join a master's programme in mathematics and obtained a master's degree in July 2016. I am currently a first year PhD student in mathematics. I love fountain pens and am a die hard fan of the Prince of Persia 2008 video game.
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#### February 4th, 2018

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Name: MHB Topology and Advanced Geometry Award (2016)
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