Recent content by moriheru

Thank you so much!

Thanks! Could you link me to the websites you suggested?If I were interested in the suprememum how would I go about that? The same way?

Sorry my mistake it is 6a1 and not 6/a1. I am sorry, this is turning out to be quite a mess...

Yes I did post a similar thread yesterday, but it was deleted by the moderators. I mean 5a and not 5/a as I wrote in my previous thread. Sorry, if that caused any confusion. The sum from 1-6 equals one and not 1-7. I understand why you would think so, but I eliminated a7 in a previous step. Is...

Homework Statement Given that a1+a2+a3+... +a7=1 and that all aj is smaller than 1 and greater than 0 and variable , find the maximum value of 6a1+5a2+4a3+...+ a6 Homework Equations no further constraints The Attempt at a Solution I have no idea how to solve this problem specifically, but I...

I am a aware of automated proofs such as the W-Z method, but that wasn't quite the point I was trying to make or inquire upon. I was more specifically asking whether a connection can be made between the validity of a statement in a formal language and it's Gödel number and how incompleteness may...

The thought just struck my mind, while I was reading "The art and craft of problem solving", whether a game of chess can be topologically defended and is topologically invariant. For example a game play where only the pawn has been moved to E3 is some sort of topological figure and the initial...

Thanks a lot ! And interesting approach. I will keep that in mind.

In reply to the original post: ( I don't know if this has already been mentioned) as the bases are the same on both sides you can equate the exponents. This gives n-1=8 and hence n=9.

Here is the link to a set of practice problems: https://brilliant.org/practice/prime-factorization-warmup/?subtopic=integers&chapter=prime-factorization-and-divisors Hope that helps. But apart from that, most computers and more modern calculators offer prime factorization programs. Google will...

No, I do not think so. I believe that prime factorization is part of pre-algebra and number theory. The only connection I can think of is factorizing polynomials, which may involve thinking about the factors of a number. I am not sure which type of questions you are looking for. If you are...

Yes and as I mentioned above every number can be factored into its prime factors in one way only. This is also the reason why 1 is not condsidered a prime number.

Yes, if one could factor primes further then they would be divisible by another number and hence wouldn't be primes. In fact beyond that every number can be uniquely factored into its components, which is one of the fundamental theorems of number theory.

Thanks! That is great! Is my method correct and is there any general method how to approach these problems geometrically or is it just case by case observation? I know of a calculus based approach. As far as I know one expresses abs(z-w) in terms the general coordinates of any point on the loci...

I was wondering whether or not there could be a "master formula" . What I mean by a master formula is, maybe not even a formula, some mathematical expression that would allow mathematicians to prove statements simply by plugging in some numbers into a formula. So I guess in a way a I am...