Recent content by docnet

If you meant $24 million and for a flat then I hope so.

What about modeling chemical reactions? example you could focus on using different methods to solve the pde and analyzing their convergence behavior. you could also determine a reaction rate given a set of data, etc.

Photos from my visit to a lucky schoolmate's midtown NYC apartment in the MiMA building . The same 400 square feet studio that rented for $3500/mo USD two years ago, now rents for around $5000/mo USD :doh:. And it's probably one of the cheapest units on the 51th floor. The housing market is...

Global errors of iterative methods are usually computed using values of a closed-form solution or an 'accurate' numerically integrated solution. If you have the true solution, you would want to compare the true and approximated solutions using the same grid points. In the 3 graduate level...

Here's the test booklet that contains this question. On the front page it indicates "you must have a copy of the Pearson Edexcel LDS or 'Large Data Set' and a calculator". However, there does not seem to be a copy of it floating around somewhere on the internet, just the test booklet.

isn't G10 itself made of epoxy? not trying to be smart, just pointing out what could be a problem.

If I understand correctly, then ##||P||## means $$\sqrt{\sum_i\left(\Delta x_i^2\right)}?$$ Thanks

Somebody adding soap to the fountain in front of BG => world's biggest bubble party. The 8 year old me would have one into the fountain but the adult me is somehow afraid of getting weird stares Even cameras don't like humid weather

not complex, though I suppose there's no reason to exclude complex.

I figure one can dig around for plenty of quality problems online, but I'm hoping to skip right to the good stuff by you posting your favorite real analysis problems from college, internet, textbook, dream, imagination, etc. It would be so helpful to get some comments this time, and please don't...

Just want to say, I noticed that my comment isn't right. I stated the limit as the number of rectangles go to infinity, but I didn't specify that the width of every rectangle goes to zero, or equivalently that ##P=\text{max}_{i\in I}\left(x_{i+1}-x_i\right),## ##I=\{1,...,N\}## goes to zero. I...

There's something called the Prince Rupert's drop, which is purely made of glass that can withstand a centerfire rifle bullet to the face without breaking. When the glass drop is put through a hydraulic press or hit with a hammer, it makes a divot in the steel without getting a scratch. If you...

For a general Riemann sum is evaluated over the interval ##[a,b]##, if we evaluate the sum using increasingly narrower rectangles, the limit as the width of the rectangles go to zero is exact integral. Specifically using the right endpoint rule, with partition ##a=x_1<\cdots <x_n=b##...

The correct inequality is $$\sum_{i=2}^N\cosh ^{-1}i>\int^N_1 \cosh ^{-1}x dx$$ because the Riemann sum uses the right endpoints of each subinterval and the function is increasing. The inequality could be wrong depending on if it's a left, middle, or trapezoidal Riemann sum.