• Today, 01:54
Yes, I don't see how the answers given by your book could possibly be correct.
3 replies | 15 view(s)
• Today, 01:52
Because we both made the same mistake reading the problem. We are told: Ahmad has x marbles. He has 40 more marbles than Weiming This means...
4 replies | 16 view(s)
• Today, 01:45
Looks good! (Yes)
1 replies | 13 view(s)
• Today, 01:38
Yes, that's good. Here, they are telling you: m+4=40 So, you need to solve for $$m$$ to determine how many pupils were there in the...
3 replies | 15 view(s)
• Today, 01:35
That looks good! (Yes)
4 replies | 16 view(s)
• Yesterday, 21:51
Thanks Steenis ... I appreciate your help ... Peter
2 replies | 47 view(s)
• Yesterday, 02:54
I am reading Paul E. Bland's book, "Rings and Their Modules". I am focused on Section 4.3: Modules Over Principal Ideal Domains ... and I need...
2 replies | 47 view(s)
• Yesterday, 01:53
Thanks for the help GJA ... But ... just a clarification ... I can verify that d \mid 1 and that d|1\Longrightarrow c|1 ... but I cannot follow...
3 replies | 108 view(s)
• August 14th, 2018, 22:26
Thanks GJA ... Appreciate your help ... Peter
4 replies | 96 view(s)
• August 14th, 2018, 12:36
Hello all, A friend of mine on another forum, knowing I am involved in the math help community, approached me regarding a question in statistics....
9 replies | 178 view(s)
• August 14th, 2018, 04:51
So because of the fact that $g$ is well-defined for any $x$ and $t$, and $u$ contains $g$, we get that the solution $u$ is unique? (Thinking) ...
5 replies | 134 view(s)
• August 14th, 2018, 01:07
Thanks GJA ... OK ... then consider the ring R = \mathbb{Z}_{6} \equiv \mathbb{Z} / 6 \mathbb{Z} = \{ \overline{0}, \overline{1}, \overline{2},...
4 replies | 96 view(s)
• August 14th, 2018, 00:11
Thanks to Steenis and Opalg for clarifying Bland Proposition 4.3.5 ... Hmm... ... seems that Bland made a bit of a mess of that Proposition ... ...
16 replies | 272 view(s)
• August 14th, 2018, 00:06
I am reading Paul E. Bland's book, "Rings and Their Modules". I am focused on Section 4.3: Modules Over Principal Ideal Domains ... and I need...
3 replies | 108 view(s)
• August 13th, 2018, 19:20
I would look at all factors present, and take the smaller power present in each: 2\cdot3^2\cdot7=126
3 replies | 86 view(s)
• August 13th, 2018, 11:34
The problem states:
5 replies | 119 view(s)
• August 13th, 2018, 00:43
Looks good! (Yes)
5 replies | 119 view(s)
• August 13th, 2018, 00:35
I just wanted to say, I'm really liking the way you title your threads usefully and show your work. (Yes)
3 replies | 61 view(s)
• August 13th, 2018, 00:14
You've got Kat and Nora right, but Devi would receive 24 + 2x (that's 2x more than Kate). And so the sum $$S$$ would be: ...
3 replies | 61 view(s)
• August 12th, 2018, 23:19
I am reading Dummit and Foote's book: "Abstract Algebra" (Third Edition) ... I am currently studying Chapter 10: Introduction to Module Theory ......
1 replies | 65 view(s)
• August 12th, 2018, 23:13
I am reading Dummit and Foote's book: "Abstract Algebra" (Third Edition) ... I am currently studying Chapter 10: Introduction to Module Theory ......
4 replies | 96 view(s)
• August 12th, 2018, 21:20
Thanks for the help Olinguito ... Your assistance is very much appreciated ... Peter
16 replies | 272 view(s)
• August 12th, 2018, 07:08
How could we show the uniqueness of the solution? Do we suppose that there is an other solution? (Thinking) Isn't it implied directly that $u$...
5 replies | 134 view(s)
• August 12th, 2018, 06:57
Hi Olinguito ... thanks again for your posts and help ... Now ... just a clarification ... In the post above, you write the following ... ...
16 replies | 272 view(s)
• August 12th, 2018, 05:17
Hello!!! (Wave) We have the Cauchy problem of the equation $u_t+xu_x=xu, x \in \mathbb{R}, 0<t<\infty$ with some given smooth ($C^1$)...
5 replies | 134 view(s)
More Activity

### 73 Visitor Messages

1. Yes, you are correct. The first post in a thread may be edited within 2 hours, and all other posts within 24 hours.

However, if you run over the 24 hour limit, I will lift the limit for you temporarily since you are adding such great content.
2. Hey Balarka, according the the settings in the ACP it is 5 minutes.
3. Hey Balarka, Daniel is upgrading the forum software to a completely new platform. It should be back up soon.
4. I agree that fun shouldn't introduce wrong concepts.

PS: Yes, I'll add one when I start the next post.
5. Ok, then you are looking at rigor but as I said these tutorials will be for fun. I want a high school student to understand it. It would be great to have your comments when I start posting bout that, though. I know I can learn from you as I am haven't read that much about these concepts.
6. What is your definition of Regularization ?
7. We can extend the zeta function to analytic function in the whole complex plane except at 1. By definition we have
$$\zeta(s) =\sum \frac{1}{n^s}$$
So zeta on the left is analytic for all $s \neq 1$ but the sum on the right does only converge for $Re(s) >1$.
So the analytic continuation of zeta has enabled us to give values to the divergent sum on the right.
8. Hey Balarka , the idea of regularization is giving a finite value for divergent series or integrals. Consider the following
$$\zeta(-2)= 0$$
$$1+4+9+\cdots = 0$$
9. Okay, thanks. I think the former one is just what I wanted.
10. Hey Balarka, I do not know of a closed for that sum. But there are some identities related to this problem:
\begin{align*} \sum_{k=1}^p \frac{H_k^{(2)}}{k}+\sum_{k=1}^p \frac{H_k}{k^2} &= H_p^{(3)}+H_p^{(2)}H_p \\ \sum_{k=1}^p \frac{H_k^{(2)}}{k}+\sum_{k=1}^p \frac{(H_k)^2}{k} &= \frac{(H_p)^3+3H_p H_p^{(2)}+2H_p^{(3)}}{3} \end{align*}
To prove these, we can use induction.
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#### Basic Information

Date of Birth
January 12, 2000 (18)
Biography:
I know a thing or two about topology. Find number theory interesting but don't know much about it.
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West Bengal, India
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Number Theory
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#### Signature

Some of my notes on number theoretic topics are on a few primality tests and on Hardy & Littlewood's result (incomplete). The other articles are on quintics : about a brief description of Kiepert algorithm and a short introduction on quintic-solving algorithms, respectively. I have also written up an introductory thread on Riemann Hypothesis

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