• Yesterday, 23:35
I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter III: Analytic Functions ... I need...
0 replies | 16 view(s)
• Yesterday, 23:04
Note $1/(1 - \alpha)$ cannot be the least upper bound when $-1 < \alpha < 0$. For if $\alpha = -1/2$, $1/(1 - \alpha) = 2/3$, but $1 + \alpha = 3/2 >... 3 replies | 51 view(s) • Yesterday, 22:43 I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 3: Analytic Functions ... I need... 0 replies | 16 view(s) • October 15th, 2017, 22:29 MarkFL replied to a thread Show AB = BC in Pre-Calculus It tells you the three points are collinear...now, is point$B$the midpoint of$\overline{AC}$? 9 replies | 92 view(s) • October 15th, 2017, 22:00 MarkFL replied to a thread Show AB = BC in Pre-Calculus Please attach the images inline...otherwise they won't show up in the "Topic Review" and having them show up there can be helpful when replying to a... 9 replies | 92 view(s) • October 15th, 2017, 21:51 MarkFL replied to a thread Show AB = BC in Pre-Calculus In order for three points to be collinear, we can pick any two distinct sets of two points from the set of three to form two line segments, and those... 9 replies | 92 view(s) • October 15th, 2017, 16:11 Hello, MHB Community! (Wave) Those of you active in this forum have likely noticed some new thread prefixes associated with a few of the threads... 2 replies | 1870 view(s) • October 15th, 2017, 05:20 LIGO will unveil new developments in its search for gravitational waves ... but no details as yet ... Peter 0 replies | 42 view(s) • October 15th, 2017, 00:20 anemone started a thread Unsolved Challenge Prove √(sinx)>sin√(x) in Challenge Questions and Puzzles Prove that$\sqrt{\sin x}>\sin \sqrt{x}$for$0<x<\dfrac{\pi}{2}$. 0 replies | 54 view(s) • October 14th, 2017, 22:40 anemone replied to a thread Unsolved Challenge Evaluate ∠APR in Challenge Questions and Puzzles Hi Opalg! I can't tell you enough how much I appreciate your participation to the two unsolved challenges of mine...and you definitely are on a... 3 replies | 113 view(s) • October 14th, 2017, 19:42 MarkFL replied to a thread Isosceles Triangle in Pre-Calculus Yes, the distance formula would be a good way to proceed, but recall, an equilateral triangle is a special case of an isosceles triangle...so, you... 2 replies | 48 view(s) • October 14th, 2017, 19:39 MarkFL replied to a thread Show AB + BC = AC in Pre-Calculus Yes, and if this is true, then what must be true of the 3 points? 2 replies | 45 view(s) • October 14th, 2017, 19:36 When doing synthetic division, the actual root$r$or zero of the polynomial is put out to the left. Thus we know: f(r)=0 And the polynomial... 1 replies | 43 view(s) • October 14th, 2017, 19:26 I am assuming the volume is the cubic polynomial: V(x)=2x^3+9x^2+4x-15 We are told the depth is$x-1$, so we know$1$is a zero of the... 1 replies | 40 view(s) • October 14th, 2017, 19:18 MarkFL replied to a thread Show AB = BC in Pre-Calculus Yes, the distance formula would work, or if you can show the 3 points are collinear, then you could use the mid-point formula. :) 9 replies | 92 view(s) • October 14th, 2017, 19:14 When I plug in the numbers, I get choice C). W|A - 40000(0.11/12)/(1-(1+0.11/12)^(-30*12)) 2 replies | 58 view(s) • October 14th, 2017, 12:24 anemone replied to a thread Unsolved Challenge Prove ∠A≤60°. in Challenge Questions and Puzzles I can only say thank you, Opalg, for your so insightful and intelligent solution! (Sun)(Cool) 2 replies | 116 view(s) • October 14th, 2017, 02:19 anemone started a thread Unsolved Challenge Evaluate ∠APR in Challenge Questions and Puzzles Let$A$be the midpoint of the side$QR$on a triangle$PQR$. Given that$\angle APQ=3\angle APR$and$\angle PAQ=45^\circ$, evaluate$\angle APR$. 3 replies | 113 view(s) • October 13th, 2017, 12:28 anemone started a thread Unsolved Challenge Prove ∠A≤60°. in Challenge Questions and Puzzles Hello MHB, This is the first of our "Unsolved challenge" threads, it is a challenge which I found pretty interesting but yet I still couldn't... 2 replies | 116 view(s) • October 13th, 2017, 12:14 Here is this week's POTW: ----- Consider the sequence$\{a_k\}_{k\ge 1}$is defined by$a_1=1$,$a_2=\dfrac{1}{2}\$ and...
0 replies | 57 view(s)
• October 13th, 2017, 12:05
Congratulations to the following members for their correct solution: 1. MarkFL 2. lfdahl Solution from MarkFL: By cyclic symmetry, we know...
1 replies | 100 view(s)
• October 13th, 2017, 07:56
Thanks Opalg ... most helpful post!!! Peter
2 replies | 52 view(s)
• October 13th, 2017, 06:09
I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 2: The Rudiments of Plane Topology ......
2 replies | 52 view(s)
• October 13th, 2017, 05:29
Thanks for the help, Opalg ... Peter
2 replies | 38 view(s)
• October 13th, 2017, 03:22
Congratulations GJA ... !!! ... and ... just a personal thank you for all your great help ... it is much appreciated ... Peter
7 replies | 185 view(s)
• October 13th, 2017, 03:16
I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 2: The Rudiments of Plane Topology ......
2 replies | 38 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!
10. Hi, I'm currently traveling but will get back to you later today. Thank you for your patience!
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April 13, 1991 (26)
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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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