• Today, 10:02
caffeinemachine replied to a thread Hi everyone! in Introductions
Hey Raisa! I am currently a PhD student in mathematics, but I was also a mechanical engineering undergrad before I switched to math. I would say that...
1 replies | 5 view(s)
• Today, 03:13
Here is this week's POTW: ----- Find the exact value for the real root of the equation $x^3+3x-2=0$. ----- Remember to read the POTW...
0 replies | 27 view(s)
• Today, 02:59
Congratulations to the following members for their correct solution::) 1. kaliprasad 2. lfdahl Honorable mention goes to cmath123, as he has his...
1 replies | 107 view(s)
• Yesterday, 18:23
Euge replied to a thread [SOLVED] How to prove continuity? in Analysis
Yes.
4 replies | 59 view(s)
• Yesterday, 18:19
Euge replied to a thread [SOLVED] How to prove continuity? in Analysis
It's a great idea, but for this argument to work, $f(c)$ needs to be positive. It's possible to avoid cases by setting $\epsilon = \frac12\lvert... 4 replies | 59 view(s) • Yesterday, 13:48 You have to understand what is meant by the smallest element of a partially ordered set S. This is an element m of S such that$m\leq s$for any... 3 replies | 51 view(s) • Yesterday, 04:59 Joseph A. Gallian, in his book, "Contemporary Abstract Algebra" (Fifth Edition) defines an irreducible element in a domain as follows ... (he also... 0 replies | 34 view(s) • Yesterday, 04:23 Thanks for the help johng ... But i am still a bit puzzled ... I think we have to show that \{ \frac{k}{ 2^n} \ | \ k.n \in \mathbb{Z} \} is... 3 replies | 51 view(s) • Yesterday, 02:29 MarkFL replied to a thread 231.14.88 3d surface in Calculus Multiplying through by$9+6x-8y$and distributing the$26$, we obtain -x^2-y^2+z^2=156x-208y+234 -x^2-156x-y^2+208y+z^2=234 ... 3 replies | 53 view(s) • February 17th, 2017, 16:07 Let R be any subring of the rationals Q that contains both 1/2 and the integers. Let n be any positive integer; induct on n to show${1\over 2^n}\in...
3 replies | 51 view(s)
• February 16th, 2017, 23:12
I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Chapter 5 ... I need some help...
3 replies | 51 view(s)
• February 16th, 2017, 20:51
Here is this week's POTW: ----- Prove that there is a constant $C$ such that, if $p(x)$ is a polynomial of degree $2017,$ then \ ----- ...
0 replies | 41 view(s)
• February 15th, 2017, 21:58
johng replied to a thread Simon Game Java in Computer Science
You ignored the instructions about "break". Modify your code: if (s==u) { userScore = userScore +1; continue; } A corrected version:
2 replies | 54 view(s)
• February 15th, 2017, 20:29
You have two points on the graph, so you can compute the slope as follows: m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} Then, you can...
2 replies | 58 view(s)
• February 14th, 2017, 23:47
Yes, the derivative of the function evaluated at the $x$-coordinate of the tangent point will give you the slope $m$ of the tangent line. :)
4 replies | 89 view(s)
• February 14th, 2017, 23:18
The first derivative of a function gives you the slope of the tangent line, not the tangent line itself. Thus,for some function $f(x)$, the tangent...
4 replies | 89 view(s)
• February 14th, 2017, 22:17
Let's try your substitution of: u=x+9\implies du=dx I=\int_9^{18}\frac{(u-9)^3}{u^2}\,du By the binomial theorem: ...
1 replies | 47 view(s)
• February 14th, 2017, 12:31
Just to follow up, we left off with: 8-\frac{15000}{x}=5 Arrange as: 3=\frac{15000}{x} Multiply through by \frac{x}{3}\ne0:
2 replies | 100 view(s)
• February 12th, 2017, 22:44
Yes, those are typically how these two metrics for the center of the data are used. So it comes down to how do we define "having outliers"? In real...
7 replies | 149 view(s)
• February 12th, 2017, 22:13
Thanks for the help, Euge ... Appreciate your assistance ... Peter
2 replies | 61 view(s)
• February 12th, 2017, 18:16
Hi sarrah, Why is $$\|P_1(t)\| \le \int_0^t e^{\|A\|(t - \tau)}\|B\|e^{\|A\|\tau}\,d\tau?$$ It appears you used a Minkowski type...
2 replies | 84 view(s)
• February 12th, 2017, 18:03
Hi JGalway, To prove the result formally, I suggest using the principle of mathematical induction.
2 replies | 52 view(s)
• February 12th, 2017, 17:57
Hi Peter, Yes, that's correct.
2 replies | 61 view(s)
• February 12th, 2017, 17:28
Welcome, hksuraj! (Wave) What have you tried? Please show your thoughts on this problem, even if you only have the definitions.
1 replies | 59 view(s)
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### 36 Visitor Messages

1. 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.
2. Thank you! It's been a bit hectic, what with moving to Kansas, and all. But I did have a great birthday.
3. 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.
4. 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?
5. Hi caffeinemachine! I just wanted to wish you a happy birthday, and I hope you're having a great time.
6. 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.
7. Happy Birthday, my friend!
8. Hi AK,

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!
9. Hi, I'm currently traveling but will get back to you later today. Thank you for your patience!
10. That's very kind of you. Thanks
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#### Basic Information

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April 13, 1991 (25)
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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#### January 27th, 2017

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