Recent content by lei123

Homework Statement how do you delete a post?

Homework Statement x^2 = 2y^2 = 3z^2 Find all the solutions. Homework Equations There is a method once I substitute the above formula into the form ap^2 + q^2 = z^2, to get all the solutions. The Attempt at a Solution I'm having a little trouble with the substitution. I was...

Has anyone heard back from Clemson or SUNY Potsdam? Also, Clemson listed that they were funding pending. Would they tell you if the program was just canceled?

numbers starting with nine have an undefined density, since the limit oscillates

yeah sorry I meant diverge. My professor has been using the terminology "sparse" and "ubiquitous", so sometimes I lose track

this is interesting - in my probability theory class today we learned about Benford's law - I don't know how applicable it is here because it has to do with real life data sets, but in short, the leading digits of numbers are distributed in non-uniform ways, with 1 being the most common at...

I recall my professor specifically said that it had zero density. I agree that there are a lot of numbers starting with nine, but when you take the limit of ratio of the (# of #s starting with nine)/(infinity), it would seem to tend to zero. also, lei123 is a girl ;)

Homework Statement prove using induction: for any n =1,2,3... the product of the divisors of n = n^(number of divisors of n (counting 1 and n)/2) Homework Equations The Attempt at a Solution I understand why this is the case, but I'm having trouble with the induction step. if...

Homework Statement Does the sum of the reciprocals of natural numbers starting with nine converge? In other words, does Sigma 1/n with n being numbers starting with nine, converge? Homework Equations The Attempt at a Solution I know that subsets of the natural numbers with...

Homework Statement cookie dough lies on a conveyor belt which moves at speed v. A circular stamp stamps out cookies as the dough rushes by beneath it. When you buy these cookies in a store, what shape are they? That is, re they squashed in the direction of the belt, stretched in that...

Homework Statement A Freight Car of Mass M contains a mass of sand m. At t=0, a constant horizontal force i applied in the direction of rolling, and at the same time a port in the bottom is opened to let the sand flow out at a constant rate dm/dt. Find the speed of the freight care when all...