Recent content by lockedup

I think I got it. I looked through my old calc book. I found this little fact: \intln x dx = x ln x - x + 1 < ln (n!)

I've never heard of Stirling's Approximation. This problem is tacked on the end of the section on lim sup's and lim inf's.

Homework Statement Calculate lim (n!)1/n Homework Equations The Attempt at a Solution Call the limit L. lim ln(n!)1/n = ln L ln(n!)1/n = \frac{1}{n}ln(n!) = \frac{1}{n}(ln(1) + ln(2) + ... + ln(n)) = \infty/n. So the limit is \infty/0? Which makes L what? This is for...

Homework Statement You have two 120VAC:24VAC transformers, 16 high voltage capacitors and 10 high voltage diodes. Design, on paper, a circuit that maximizes output voltage. What is the maximum voltage of your circuit? Homework Equations The Attempt at a Solution So my textbook...

3e8(.25e-6) = 75 *facepalm again* Thank you

a) v = .02 m/.00000025 s = 80000 m/s What do I do now? b) Ooh... *facepalm* f = c/λ = 3e8/.02 = 1.5e10

Homework Statement A radar transmitter used to measure the speed of pitched baseballs emits pulses of 2.0 cm wavelength that are .25 μs in duration. a) What is the length of the wave packet produced? b) To what frequency should the receiver be tuned? c) What must be the minimum bandwidth of the...

This is what I meant. I guess I need to work on my use of notation.

I was just going by the pattern in my book. My book proved DeMorgan's laws this way. It starts out "Suppose x \in \bigcup(T - Si)..."

Can one use Venn diagrams as proofs? I've heard that's a no-no...

Homework Statement I'm working on some set theory stuff to prepare for Topology next semester. I'm actually working out of a Topology book from Dover Publications. I could really use some direction/correction. 1. If S ⊂ T, then T - (T - S) = S. 2. If S is any set, then ∅ ⊂ S. The...

What about a function like f(x) = Aex + B? Or f(x) = (A/x) + B

Homework Statement I'm trying to learn the Branch and Bound method. For that, I need to master the Dual Simplex Method (DSA). I have tried and tried and tried to google examples but can't find any. Does anyone know where I can find any? How do you know the LPP has become infeasible with...

I'm more or less trying to understand the limits of linear programming. Here's what I was thinking. A = {(-2,0), (0,0), (2,0)} and B = {(-1,0), (1,0)}. How would you separate those with a curve? The obvious answer to me is a cosine curve. Particularly, f(x) = cos (πx) (because the period is...

This semester while taking Linear Programming (Linear Optimization Models), we talked about using a linear program to separate two sets of points A and B. The general program is: Max d s.t. yA ≥ axA+b+d yB ≤ axB+b-d It can be expanded into finding a polynomial that passes between the...