Posts tagged: sage

My friend asked me this: Put balls into $n$ buckets uniformly at random and count $h$ the number of buckets with at least one ball in them. What is the expected value of number of balls $k$?

So, bored in a math talk Ulam starts writing integers in a spiral and circling primes. He soon notices something weird:

In a huge graph, it is hard to determine a bottleneck by just looking at it, or doing any type of search. And by a bottleneck, I mean part of graph that is not very much connected to the other part....

One of the things that I always tell my students is to check their solutions when they are done solving a problem. That by itself can mean several things, depending on what the problems is. Of course...

I've been using sage for a while now. I've also been teaching linear algebra for a few years. One of the problems in teaching linear algebra is coming up with a handful of examples of matrices that...

Gershgorin circle theorem roughly states that the eigenvalues of an $n \times n$ matrix lie inside $n$ circles where $i$-th circle is centred at $A{i,i}$ and its radius is the sum of the absolute...

For a given function $f(x)$ around a point $a$, if you zoom in close enough on the graph of the function, you can't tell the difference between the curve and the tangent line to the graph of the...

I mean a list in SAGE. The answer is to

In Theorem 3.1 of "The combinatorial inverse eigenvalue problems: complete graphs and small graphs with strict inequality, W. Barrett, A. Lazenby, N. Malloy, C. Nelson, W. Sexton, Electronic Journal...

If you have a prime number $p$ (other than two and five) then the last digit of $p$ is 1, 3, 7, or 9. If for some reason we believe that prime numbers are randomly distributed (after all, the last...

I was watching this random video on youtube (which by the way is not the best video) that I thought maybe I can do the same thing. So, I started coding in Sage. Here is a what I want to do:

I have used several geogebra applets in my calculus class, but there's always things that you wanna do that there's no applet out there for, or you can't modify them etc. So, I decided to write my...

Well, I'm planning on taking my Statistics students to a computer lab and introduce SQL to them through Khan Academy's Hour of Code program. What would you do?