Now here’s another great tool Chiaroscuro did, in figuring out what number raised to the fifth power would be 1/6000. Besides trying out a variety of numbers which were judged to be a little bit… more →
nebusresearchwrote 1 month ago: Today, you too get to learn what my real analysis students are doing in class. The intermediate valu … more →
wrote 2 months ago: Let X be a topological space. Recall that if U is a clopen (i.e. open and closed) subset of X, then … more →
wrote 7 months ago: I’ve been getting pretty into cognitive science lately. I realize some of it is useless, and a … more →
wrote 9 months ago: Theorems are statements that summarize the results that are true in mathematics. Theorems are statem … more →
wrote 11 months ago: p. 228 A picture of a Dean Stark head would be useful. p. 230 — Second paragraph from the bot … more →
wrote 1 year ago: I took L back to Portsmouth at the weekend. At 1000 the odometer read 99951, and at 1800 it read 100 … more →
wrote 1 year ago: Now here’s another great tool Chiaroscuro did, in figuring out what number raised to the fifth … more →
wrote 1 year ago: However I may sulk, Chiaroscuro did show off a use of the Intermediate Value Theorem that I wanted t … more →
wrote 1 year ago: I had wanted to talk about the Intermediate Value Theorem, since it’s one of those little util … more →
wrote 1 year ago: Problem? Let be continuous functions. (a) Prove that there exists such that . (b) If , prove that th … more →
wrote 1 year ago: Problem? Prove that if is even, then there is no continuous which takes on every value exactly times … more →
wrote 2 years ago: Last weekend, we went up to Baguio, the summer capital of the Philippines, to escape the summer heat … more →
wrote 2 years ago: In this post I’m going to explore several theorems that are generally agreed to be the most im … more →
wrote 3 years ago: If f(x) is continuous on [a,b] then f takes on all values between f(a) and f(b). … more →