Recent content by zfolwick

yes you are correct. I fixed the typo

Homework Statement Show convergence of s_{n+1}= \sqrt{2+\sqrt{s_n}} where s_1 = \sqrt{2} and that s_n<2 for all n=1,2,3... Homework Equations Let {p_n}be a sequence in metrice space X. {p_n} converges to p iff every neighborhood of p contains p_n for all but a finite number of n.The...

Homework Statement I've been trying to get this code to work: ode45(@(t,y) fallode(t,y,B), [0, tmax], [31330, 0]) Homework Equations function dy = fallode(t, y, B) % ODE function to model a fall over a large range of % altitudes, reaching up to high subsonic Mach numbers. % y(1) is...

given a point x =(a1, a2, ... am), is this point optimal for a given LP? Is there a good, step-by-step description of this somewhere? The only thing I can find is that, if I have a point x and a point y, then I can use the weak duality theorem to say that cx = by or some such nonsense...

I can't for the life of me understand this topic. given a point x =(1,1,1,1,1,1,1) and a primal LP, does the point solve the primal? An internet search revealed no answer to my question, only criteria which involves knowing y. I am aware that \sumaijxj < b then yi = 0, so I at least know...

thanks for the notation correction nickalh. I was assuming that the cardinality of A is 2 and the cardinality of B is 3, not the other way around (based on what dick said in post 2). But you're quite correct... now I'm confused... perhaps the combinatorics only works for injective functions...

"One key, how does the Cartesian product of A & B, written A x B relate to the number of possible functions?" A x B must be countable since A and B are finite and countable. A x B must be finite. Then the set F = {f: A -->B} can be injectively mapped to the integers to get {(a, f(a))...

do you mean if the cardinality of A is 2 and the cardinality of B is 3?

Homework Statement If A and B are finite, show that the set of all functions f: A --> B is finite. Homework Equations finite unions and finite caretesian products of finite sets are finite The Attempt at a Solution If f: A -> B is finite, then there exists m functions fm mapping to...

Homework Statement What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. The following table is based on information taken from Trends in the...

@dtango- awesome explanation. Is there a good technical resource that you would recommend to learn more about the types of turbines used in jet applications? I have access to the engineering library at the my university, and the math isn't a problem (I'm a math major with an identity crisis- I...

In generator applications vs transportation applications, there's got to be a trade-off between how much energy can be sucked out of the exiting jet of hot gases and still be able to do it's job, right? I mean, a generator using a jet is built to turn as gnarly a generator as possible while a...

in building a jet engine, it seems the turbines are made from louvred metal- am I right? Could that really give the power transfer to keep the blades spinning and feeding o2? If that's the case, then my understanding is that for each unit of gas expelled, there should be a balance of air...

11k is no small change. In '01 I started at University of Washington and had only 4k saved up. I rode on student loans and parent loans, but the 4k lasted me damn near the whole year. Working over the summer helped out a lot too. Another 4k that summer :) Something that they don't tell...

kjjohn- I have been thinking about this as well. There's numerous tin-can versions out there, but none of them work to produce any thrust to my knowledge; and all of them overheat. I believe I may have figured a way to form the blades, but the connection with the shaft, as well as...