Recent content by hawaiifiver

How would the CPU, RAM and disk storage of a Database server affect the performance of the Database?

Hi DonAntonio, Thanks for the swift reply. Forgive my ignorance, but is there need for a proof of that "method" Thanks

Hello, I am looking at the proof (Theorem 2.5 (b) Apostol) of $$ \phi (mn) = \phi(m) \phi(n) \frac{d}{\phi(d)} $$ where $$ d = (m, n) $$. Can someone explain how they go from $$ \prod_{p|mn} \left( 1 - \frac{1}{p} \right) = \frac{\prod_{p|m} \left( 1 - \frac{1}{p} \right) \prod_{p|n}...

Its starting to make sense.

I've followed my link above and I think your limits for z are r < z < 1/√2 My triple integral is int (0 to 1/√2) r dr int (0 to 2∏) dθ int (r to 1/√2) dz

There is a good explanation here http://www.math24.net/calculation-of-volumes-using-triple-integrals.html

Hi oli4. Thanks for the swift reply There are a few things I don't understand 1. Where did they get n = a +b from. Why is that important? 2. When they say assume that the theorem has been proved up to n-1, why do they choose n -1 3. Why do they apply the theorem to (a-b) and (b). I don't...

Hello Can someone explain it to me sentence by sentence. Thank you. Here is the link http://www.math.nus.edu.sg/~chanhh/MA4263/Chapter1.pdf

Hello to all, Wow this thread has really taken off. Thanks for all the suggestions. I actually bought Velleman's book. I just finished the first three chapters. It's really well written. Good luck.

Hello Could anyone recommend a good introductory book for learning how to write mathematical proofs. Thank you.

Hello, I working through my notes on Nother's theorem and invariance under translation. I don't understand how they get expression 7.3, from the line before 7.3 (see attachment). Can anyone explain. Thanks.

Well ordinarily you have a function y(x), where x is the independent variable and y is the dependent variable. With parametric derivatives (of x(t) and y(t) let's say, which depend on t) you have x'(t) and y'(t) . Here x and y are dependent and a function of independent variable t. So I...

Ah yes, now I comprehend the method. Thank you.

Homework Statement I have a problem u'' + lambda u = 0 with BCs: u'(0) = b*u'(pi), u(0) = u(pi). where b is a constant. I have to find b which makes the BCs and problem self-adjoint. Homework Equations see below The Attempt at a Solution I see in my notes...

I've been reading how to do this, you want to take a double integral of your plane as follows: $$ \int_0^{\frac{9}{7}} \int_0^{\frac{9-7x}{6}} \frac{9-7x-6y}{8} dy dx $$