• Today, 03:42
Hi Hugo ... Thanks again for your help ... Hope that despite the heat, you enjoy your holiday ... It gets hot down here sometimes ... even...
7 replies | 109 view(s)
• Today, 03:31
Trying Steenis' idea ... Practice values for first statement in the proof of Theorem 12.9 in Browder ... ... that is practice values for n...
3 replies | 91 view(s)
• Today, 02:23
Thanks for such a clear and honest post, Hugo ... Still reflecting on your new answer to the issue ... Does anyone else have an answer ...?
7 replies | 109 view(s)
• Yesterday, 23:43
Thanks Steenis ... your post really got me thinking ... Yes ... important point that ... ... " ... By definition 12.8, you can only multiply two...
7 replies | 109 view(s)
• Yesterday, 22:22
Here's a link to a Desmos slope field for this ODE: https://www.desmos.com/calculator/my0rwuxl5x
3 replies | 71 view(s)
• Yesterday, 00:37
When you determine your integrating factor, you need only determine up to but not including the constant of integration: ...
3 replies | 71 view(s)
• February 20th, 2019, 00:25
THanks Steenis ... Good idea ... Peter
3 replies | 91 view(s)
• February 19th, 2019, 21:44
I am reading Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ... I am currently reading Chapter 12: Multilinear Algebra ......
7 replies | 109 view(s)
• February 19th, 2019, 20:32
There are some typos/issues with your work. See if you can spot them...:)
4 replies | 84 view(s)
• February 19th, 2019, 15:41
Okay, if we are to consider a solution of the form: y=t^r Then: y'=rt^{r-1} y''=r(r-1)t^{r-2}
4 replies | 84 view(s)
• February 19th, 2019, 10:27
Congratulations, and welcome to the team! (Yes)
4 replies | 85 view(s)
• February 19th, 2019, 01:56
I am reading Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ... I am currently reading Chapter 12: Multilinear Algebra ......
3 replies | 91 view(s)
• February 19th, 2019, 00:00
Let's try $$x=5$$: \sqrt{5-1}=5-7 2=-2 Is this true?
4 replies | 77 view(s)
• February 18th, 2019, 23:57
Overview: This product is designed to allow you to specify which usergroups will have access to the user ignore system. Users who are not a member...
0 replies | 49 view(s)
• February 18th, 2019, 22:42
What do you get when you substitute each potential solution into the original equation?
4 replies | 77 view(s)
• February 18th, 2019, 20:22
MarkFL replied to a thread Starred Posts in vBulletin Products
I've installed this product on many vB sites without issue. As I said in another thread, I really recommend that you upgrade your vB. It's very old....
4 replies | 770 view(s)
• February 18th, 2019, 20:18
MarkFL replied to a thread Forum Marquee in vBulletin Products
Please send me the login credentials by PM to an admin account on your site, and I will see if I can figure out what the issue on your site is. You...
2 replies | 569 view(s)
• February 18th, 2019, 08:58
Thanks for the extensive help GJA, I really appreciate it ... Still reflecting on what you have said ... Thanks again ... Peter
2 replies | 90 view(s)
• February 18th, 2019, 03:37
I am reading Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ... I am currently reading Chapter 12: Multilinear Algebra ......
2 replies | 90 view(s)
• February 18th, 2019, 02:58
Thanks GJA ... appreciate your help ... Peter
2 replies | 57 view(s)
• February 17th, 2019, 23:17
I am reading Loring W.Tu's book: "An Introduction to Manifolds" (Second Edition) ... I need help in order to fully understand Tu's section on the...
2 replies | 57 view(s)
• February 15th, 2019, 17:10
How many PIN codes are possible...can you apply the fundamental counting principle to answer this question?
2 replies | 217 view(s)
• February 14th, 2019, 23:20
I am reading Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ... I am currently reading Chapter 12: Multilinear Algebra and am...
2 replies | 93 view(s)
• February 13th, 2019, 00:02
MarkFL replied to a thread Career Change in Chat Room
Good luck, Adrian! I've had family members as well as myself receive care at the Mayo Clinic in Jacksonville and St. Augustine here in Florida. They...
6 replies | 163 view(s)
• February 12th, 2019, 16:07
Wilmer replied to a thread A rebus puzzle in Chat Room
Yes sirree!!
4 replies | 120 view(s)
• February 12th, 2019, 09:21
Wilmer replied to a thread A rebus puzzle in Chat Room
Nope! Hint: -- -- -- ----
4 replies | 120 view(s)
• February 11th, 2019, 14:01
Wilmer started a thread A rebus puzzle in Chat Room
L L I I V V E E Answer = 4 words
4 replies | 120 view(s)
• February 11th, 2019, 11:49
Do you "see" that you only need : Proxima Centauri is 4.22 light years away from Earth. A light year is equal to 9,461 billion kilometers. ...
1 replies | 115 view(s)
• February 11th, 2019, 02:49
Hi Peter, Glad to hear you're taking a look at Tu, I think it's a good book on the subject. When $V$ is an arbitrary vector space there is...
2 replies | 134 view(s)
More Activity

### 73 Visitor Messages

1. Welcome to the team of math helpers
2. Haha, that would be Mark. I like the way sounds, don't you?
3. Hey Balarka,

As far as I'm concerned, you are welcome to post such information in any thread no matter how old it is.
4. Hey, way to go!
5. Hey Balarka, thanks, glad you are enjoying the challenge! As for the origin of this particular problem, I'm not sure, I found it in https://www.math.muni.cz/~bulik/vyuka/pen-20070711.pdf (page 67, no solutions) and thought it was interesting. It only says "Japan 1990" so I'm guessing it's from a contest of some sort, yes (the second part of the challenge is a custom addition of mine).

Your proof appears to be correct although I will need some time to look at it in more detail. My solution approaches the problem in a similar way as yours, but proceeds somewhat differently, though I have not fully checked mine either (I will post it in a week as per the forum rules, as well as a reference solution if I can find one)
6. Done. Let me know if you need to edit more things in the future.
7. Hey Balarka,

topsquark was purposely given a wrong number and he wanted me to spot for the error, which it turns out, I was wrong. I guess I just am not good at math. Hehehe...
8. You should be able to edit it now. Let me know if there is a problem.
9. Hm, I'm interested in sending you a private message. Can you open up one space ?
10. I haven't had time to play with it, but it *is* interesting. The failure of right-exactness is what interests me: I suspect this is akin to why in groups left-split implies right-split, but not vice versa. So I would be tempted to investigate what a sufficient condition on $G$ would be so that the map: $Aut_N(G) \to Aut_N(H)$ is onto.

I feel the center of $G$ will be relevant, here, so I would look at the two extremes: $G$ abelian, and $G$ with trivial center. I think outer automorphisms will be troublesome. On the other hand if $H$ is an extension of $N$, and $G$ is an extension of $H$, this might be fruitful (again, mimicking the field construction).

For "concrete categories", for an object $A$ we can always form the group $Aut(A)$ of all isomorphisms $A \to A$. I can't say right off-hand if we can do so for ANY category, but this might be true (if our category is a poset, the automorphism groups are all trivial). So "some" generalization is possible, I'm not sure "how wide".
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#### Basic Information

Date of Birth
January 12, 2000 (19)
Biography:
I know a thing or two about topology. Find number theory interesting but don't know much about it.
Location:
West Bengal, India
Interests:
Number Theory
Country Flag:
India

#### 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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##### Visitor Messages
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March 22nd, 2013
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MarkFL
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