• Today, 21:21
Peter replied to a thread B&S Example 6.3.4 .... in Analysis
Oh! Of course ... how silly of me ... Thanks Opalg ... Peter
2 replies | 35 view(s)
• Today, 11:45
So if $n+3$ and $n^2+3$ are cubes then so is $(n+3)(n^2+3) = n^3 + 3n^2 + 3n = (n+1)^3 - 1$. But two consecutive numbers cannot both be cubes unless...
2 replies | 74 view(s)
• Today, 10:08
hint product of 2 cubes is a cube
2 replies | 74 view(s)
• Today, 09:39
Just so everyone knows, I've spoken to our host just now and added 2 GB of RAM to our server. This should help out with caching data and with some...
12 replies | 173 view(s)
• Today, 09:33
With $x=y=1$, $f(1) + f(1) = f(1)$, from which $f(1) = 0$. Fix $y$, and differentiate the equation $f(x) + f(y) = f(xy)$ with respect to $x$:...
4 replies | 82 view(s)
• Today, 09:22
Thank you Mark. I reran the page speed link the Greg showed up and it's already improving. I'll move this conversation to a private section for the...
12 replies | 173 view(s)
• Today, 07:32
because f(xy) = f(x) + f(y) and defined for x, y >0 I see a log function $f(x) =m\log\,x$ satisfies criteria where m is arbitrary constant. m= 0...
4 replies | 82 view(s)
• Today, 03:56
You are right, it is essentially the contrapositive form of Rolle's theorem. Rolle's theorem says that if $g(\beta) = g(\alpha)$ then there exists...
1 replies | 28 view(s)
• Today, 03:38
Opalg replied to a thread B&S Example 6.3.4 .... in Analysis
No, the example does not imply that those two functions are the same. It just says that (by applying l'Hospital's rule) they have the same limit as...
2 replies | 35 view(s)
• Today, 02:16
Peter started a thread B&S Example 6.3.4 .... in Analysis
I am reading "Introduction to Real Analysis" (Fourth Edition) by Robert G Bartle and Donald R Sherbert ... I am focused on Chapter 6:...
2 replies | 35 view(s)
• Today, 01:38
I am reading "Introduction to Real Analysis" (Fourth Edition) by Robert G Bartle and Donald R Sherbert ... I am focused on Chapter 6:...
1 replies | 28 view(s)
• Yesterday, 23:12
I've commented out the code in the header template which calls the external script. Are you wanting to disable the vertical panel of buttons on the...
12 replies | 173 view(s)
• Yesterday, 22:53
Mark, could you look into removing the Add This script for now? I found the source in the header template but can't seem to get it to go away. I've...
12 replies | 173 view(s)
• Yesterday, 19:24
For me, MHB's page load speed is comparable to other forums running vB3/4 and XF (although the other sites on which I am most active are also feature...
12 replies | 173 view(s)
• Yesterday, 18:45
Any recommendations for free ones to try? Right now we are using Cloud Flare but I don't think it has a huge improvement. We can move to PM or email...
12 replies | 173 view(s)
• Yesterday, 18:28
I think the overhead from our images is adding up. We have a lot of custom PHP/javascript code now so when you put all of that together it slows down...
12 replies | 173 view(s)
• Yesterday, 15:09
Hello!!! (Wave) I am reading about nontrivial square roots of 1, that can be used as a certificate for compositeness and I have some questions. ...
0 replies | 25 view(s)
• Yesterday, 01:39
MarkFL replied to a thread Prove the identity in Trigonometry
I would write the LHS as: ...
3 replies | 67 view(s)
• Yesterday, 01:16
MarkFL replied to a thread Prove the identity in Trigonometry
You've only given an expression...what is the actual identity to be verified?
3 replies | 67 view(s)
• September 21st, 2017, 23:12
Welcome Sebastian! I'm very glad you found us and hope to see you around. :)
7 replies | 264 view(s)
• September 21st, 2017, 11:19
Here is this week's POTW: ----- The sum of the angles $A$ and $C$ of a convex quadrilateral $ABCD$ is less than $180^\circ$. Prove that...
0 replies | 49 view(s)
• September 21st, 2017, 11:13
Congratulations to Opalg for his correct solution:), which you can find below: Everything in this problem is homogeneous of degree 2, so we can ...
1 replies | 126 view(s)
• September 21st, 2017, 08:32
Hello, and welcome to MHB, Sebastiaan! (Wave)
7 replies | 264 view(s)
• September 21st, 2017, 08:02
Hi Sebastiaan, welcome to MHB, Nice to see a fellow countryman!
7 replies | 264 view(s)
• September 20th, 2017, 23:49
Thanks GJA ... I really appreciate your helpful and thoughtful analysis ... Thanks again, Peter
8 replies | 157 view(s)
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