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May
23
comment Triangular Factorials
Remark: obinna was sent here from MO.
May
23
awarded  Convention
May
23
comment Define term using Stirling Numbers
@muffel: You are welcome.
May
23
comment Define term using Stirling Numbers
@muffel: Yes, this is correct.
May
23
answered What are good ways to score an ordering?
May
23
comment Why are singular conics reducible?
If it is a problem in the first chapter why don't you try to do it from the definitions first?
May
23
comment Do other non-native english speakers have trouble solving certain kinds of problems?
The short answer: People are very different in this respect. In my country, English mathematical words are commonly used (just like German words like schlicht and eigen were introduced to English), so I have no problem whatsoever to use a mix of my native languge with some English math terms. OTOH, I think nonverbally a lot of the time. Especially with permutations and similar, I hate verbal classifications with and without repetition because I have a nonverbal idea in my head. When I do manipulations on formulas, it feels like manipulating an object with my hands, not like speaking.
May
22
comment Define term using Stirling Numbers
@muffel: What happens to the other side of the equation when you replace $x$ by $-x$?
May
22
comment Define term using Stirling Numbers
This is just one case, not the general case.
May
22
comment Define term using Stirling Numbers
@muffel: You don't need a trick and $(-1)$ is not the right factor. Write it out in detail.
May
22
comment Define term using Stirling Numbers
@muffel Collect the signs in front of each summand.
May
22
answered Define term using Stirling Numbers
May
22
comment Diophantine equation : $N= \frac{x^2+y}{x+y^2}$
What are the methods in your course? Do you expect to find a general solution? Have you tried to simplify the expression and complete the squares?
May
22
comment Counting 11 letter words with subword “FRED” - check my answer
@Arvin: If you have a problem that you are not familiar and at ease with, it is always a good idea to look at a simpler case: How many 3-letter-words contain the word TO ? How many 5-letter-words contain the word TO?
May
22
comment Double Integrals
@user6312: Just tried it: Click on the offending long line, and highlight it towards the right, this will make the comment scroll until the delete (and the edit) button appear.
May
22
comment Counting 11 letter words with subword “FRED” - check my answer
And could you in the future choose a title that is useful to other people?
May
22
comment Counting 11 letter words with subword “FRED” - check my answer
First question: What is a subword?
May
22
comment Define term using Stirling Numbers
Please check the case $m=1$ first. You should try to find your errors to practice, but the problem I see that you decided that "terms look the same" that are not the same. But for solving the actual question, I propose that you start by rewriting your general equation in a way that both sides use the product symbol or neither side uses it.
May
22
comment Define term using Stirling Numbers
@muffel: You calculations contain errors and it is quite unclear how you arrive at your conclusion.
May
22
revised Reproducing kernel Hilbert spaces and the isomorphism theorem
edited body