Ah, abstract algebra. Good course. Sort of the introductory course to higher mathematics. All the stuff you are learning about groups and rings...
Yes, there are several versions of notation for the same concepts. Can get confusing when mathematicians, physicists and computer scientists are...
Human001 has given a pretty good list. I think Galois would be good topic. His is quite an interesting story. If you need to flesh it out some,...
Well, you will notice I was off by about a factor of 10. :(
e^(x^2)...e to the x squared...does not have an anti-derivative in closed form. One has to do something different, like using power series, to...
Riemann integration and Lebesgue integration have the same general principles. The second is more or less an extension of the first. In a similar...
One of the points of the Cantor set is that is has zero measure, that is in a sense it has a total length of zero. By definition, any countable set...
There have been a lot of different speculation about where the Noah myth originated. One that has been popular in the last few years is the flooding...
As far as number of points go (on the real number line) you can't get a larger cardinality, but at least the construction of the Cantor set is pretty...
You can have a very nasty, non-constant function defined on the compliment of the Cantor set that is still integrable because the set is measurable....
52! / (13!)<sup>4</sup> is what I had gotten. But I did the calculation by hand. Best hand I have had in quite a while...my partner opened and I...
I love to play bridge, though I never went the tourny route. Great card game. I one time calculated that there were 1.6 * 10^29 (approx.) different...
Billy T... Here are some unsolved (at least the last time I checked) problems in number theory... 1) The Goldberg Conjecture: Every even...
Oh, and a minor correction...An integral on the Cantor set would always be zero, since the set has measure zero. I believe you are thinking of the...
I wouldn't say the Cantor set is the "worst" example, but it is very useful as an example of an uncountable set of points contained in a closed and...
Hmmm. Like I said, combinatorics isn't my strong suit, but it doesn't sound right to me. Ask him to explain in detail. Blue_UK is right about...
Crisp and quadraphonics have got it pretty well said. Measure theory starts with determining the size, or measure, of a set, if it can be...
If I remember "Connections" correctly, the first canning was done in France during the Napoleonic Wars. A Frenchman* developed the process and sold...
There are actually two Godel theorems on incompleteness. One is..."Given any finite set of axioms, there are mathematical truths which can not...
The first part...look at the math. Do some calculations of the centripetal force on the spinning weight. Remove the Earth's gravity from the...
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