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• Today, 20:35
Thanks Euge ... really appreciate your help ... just reflecting on the proof and what what you have said ... Peter
2 replies | 42 view(s)
• Today, 10:52
MarkFL replied to a thread ACT problem in Pre-Algebra and Algebra
Another approach would be: S=2\sum_{k=1}^{50}(k)=50\cdot51
2 replies | 30 view(s)
• Today, 00:45
Hi Peter, The Exercise was needed in order to establish $\operatorname{Rad}(M_1) \oplus \operatorname{Rad}(M_2) \subset... 2 replies | 42 view(s) • Yesterday, 20:49 Peter started a thread Deveno in Chat Room I hope Deveno returns to MHB soon ... he is sadly missed ... especially by those posting on the algebra forum ... Peter 0 replies | 37 view(s) • Yesterday, 20:47 Peter posted a visitor message on Deveno's profile Hi Deveno ... ... Hope you return to MHBs soon ... you are sadly missed ... Peter • Yesterday, 20:42 I am reading Paul E. Bland's book, "Rings and Their Modules". I am focused on Section 6.1 The Jacobson Radical ... ... I need help with the... 2 replies | 42 view(s) • Yesterday, 18:42 Euge replied to a thread [SOLVED] Exponent of group in Linear and Abstract Algebra I have have shown that$k$is a common multiple of the$\exp(H_i)$. Since$m$is the least common multiple of the$\exp(H_i)$, then$k$is a multiple... 11 replies | 226 view(s) • Yesterday, 18:08 Euge replied to a thread [SOLVED] Exponent of group in Linear and Abstract Algebra That was an error on my part. It should go the other way: if$r$divides$mq + r$, then$r$divides$mq$. I will alter the proof the second theorem... 11 replies | 226 view(s) • January 20th, 2017, 18:04 topsquark replied to a thread Singularties in Chat Room I watched the video and there is another that is listed in the end notes. The video contain a link to "The Phantom Singularity." In it the host... 2 replies | 71 view(s) • January 20th, 2017, 17:10 There is no solution. For starters, note that each equation factors. For example: (x + y + z)(1 + x1) = 276.26 Also note that the third... 5 replies | 113 view(s) • January 20th, 2017, 11:54 We appreciate challenge problems of virtually any level of difficulty. My advice to everyone is that if you find a posted problem "too easy" to... 7 replies | 187 view(s) • January 19th, 2017, 21:27 Hi mathmari, Based on context, I assume$\operatorname{Ab}(M,\Bbb R)$is the space of real-valued functions on$M$, with addition and scalar... 1 replies | 61 view(s) • January 19th, 2017, 10:19 Yes, the function as a whole is not bounded from below or from above. Let's look at this using Lagrange Multipliers... We have the objective... 6 replies | 91 view(s) • January 18th, 2017, 22:47 You also need to check the boundaries of the function, one of which is$x=0$, at which the function is discontinuous. Another way to find the range... 6 replies | 91 view(s) • January 18th, 2017, 20:13 The function: f(x)=\frac{36}{x}+x has 2 local extrema, but we need to also look at the range, which is$(-\infty,-6]\,\cup\,[6,\infty)$. You... 6 replies | 91 view(s) • January 17th, 2017, 17:35 The square of the distance is: D^2=(x+8)^2+(6x-4)^2=37x^2-32x+80 Critical value is from: 74x-32=0\implies x=\frac{16}{37} ... 2 replies | 63 view(s) • January 17th, 2017, 11:56 Euge posted a visitor message on Opalg's profile Hi Opalg, happy birthday! How are things? • January 17th, 2017, 09:38 Here is this week's POTW: ----- Let$P$be a polynomial such that$P(x)=a_0+a_1x+\cdots+a_nx^n$where$a_0,\,a_1,\cdots$are non-negative... 0 replies | 82 view(s) • January 17th, 2017, 09:34 No one answered last week's problem.(Sadface) You can find the suggested solution as follows: The probability that player one loses is ... 1 replies | 156 view(s) • January 16th, 2017, 17:17 Yes, that's what I got too. (Yes) So then, what is$y_{\min}\$?
5 replies | 103 view(s)
• January 16th, 2017, 16:04
We know the axis of symmetry for the general quadratic: f(x)=ax^2+bx+c is the line: x=-\frac{b}{2a} And so for the given function:
5 replies | 103 view(s)
• January 15th, 2017, 15:03
Hello MHB Community! (Wave) We have just installed a new feature that will make adding smilies to your posts easier and more efficient. When you...
3 replies | 121 view(s)
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### 16 Visitor Messages

1. Hi Deveno ... ... Hope you return to MHBs soon ... you are sadly missed ...

Peter
2. Hi Deveno ... haven't seen you for a while ... hope all is well with you ...

Best regards,

Peter
3. Hi Deveno,

work has taken me out of the state of Tasmania and into regional Victoria ... about 150kms outside Melbourne ...

Should re-establish broadband links and get some time in a day or so ...

Thanks as always for you help ...

Peter
4. Hello and welcome back to MHB, Deveno!

We are happy to see that you have returned, and we look forward to your continued participation here!

On Behalf Of MHB's Staff,

anemone.
5. Good answers on Peter's questions, and well-given exercises too. Unfortunately though I wouldn't be able to check Peter's work on the matrix algebras. Every ring is commutative to me
6. Thanks a bunch, I'll see if I can play through your ideas.
7. Hello, David, what d'you think of the group theoretic analogy of galois theory I have posted in the abstract algebra forum? Can this thing be arrow-theoretically generalized to categories too?
8. I'm a little late but congratulations on 1k posts! Really happy to have you at MHB and here's a toast to the next 1k.
9. excellent respond to the "how do you add and subtract measurements" thread. i would not have had the energy to go through all of that step by step like that.
10. Hey nice color change!
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