jgill

Both S and T are indeed sets of numbers that are generated by the formula to the right of the ":" symbol. The summation symbol is just shorthand for p...

Interesting you should say that. I still do minor research and write short notes. Just last night I was dabbling with my current project and the thoug...

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One of the strangest elementary features of the complex plane is the point at infinity. No matter which direction you go, if you keep moving outward, ...

Moderators: How do I eliminate multiple posts?

Bob, when one expands the sequence: {{t}_{2}}=1+\frac{1}{{{1}^{2}}},\text{ }{{t}_{3}}={{t}_{2}}+\frac{1}{{{2}^{2}}}=1+\frac{1}{{{1}^{2}}}+\frac{1}{{{2...

I agree. I wonder if his TPF account was hacked?

In the Euclidean or complex plane what happens in the vicinity of zero can be far more mind-blowing than MU imagines. In the complex plane the functio...

New Math As an Asst Prof in the early 1970s, I had a colleague whose office was a couple of doors down the hall. He was a retired Army colonel with an...

How true. It means nothing to me. :sad:

You are correct. This is revealed on page 253 from a work by Wallis in 1655. My reference is later in the book, page 593, concerning what Euler though...

A very good question. Might this understanding help in current studies in QM? Are there blind spots in our conceptual apparatus that prevent us from c...

Mathematical Thought From Ancient to Modern Times, Morris Kline, Oxford University Press, 1972

Actually, the Hindus about 628 introduced negative numbers to represent debts. Positive numbers represented assets. Euler, in the latter half of the 1...

Tell that to my fellow senior citizens on fixed incomes. :roll:

The takeaway from negative numbers is that one should stay positive about them. Don't despair, just add a minus here and there. As if they care!

So, it's called the Inflation Reduction Act because it was cut down so much from the original bill that would have been the Inflation Enhancement Act?

Here are commonly accepted concepts and notations: S=\left\{ {{s}_{n}}:{{s}_{n+1}}={{s}_{n}}+\frac{1}{n},\text{ }{{s}_{1}}=1,\text{ }n=1,2,3,4,... \ri...

Rolling dice and recreating a biological being are not comparable. Sorry, I'm not convinced. Maybe others are. Kind of a blend of metaphysics and quai...

It doesn't seem so outlandish if one sticks to the mathematics: solutions of Schrodinger's equations are linear combinations of one another. One of th...

:smile: :smile: :smile: I'm not sure I've known a colleague becoming that euphoric, but it is a really good feeling when understanding dawns. It's mos...

This is like monkeys typing Shakespeare. It doesn't seem impossible, but "inevitable" is a stretch.

My dear lady, that was done long ago. Regardless of categories. :cool: Wikipedia Mathematics Articles

The word "Magick" was coined by Aleister Crowley as he developed his religion of Thelema. It means true magic in the archaic sense and not parlour tri...

Yes, that may be so, but when one avoids the drugs and reads carefully there are jewels of wisdom there. His instructions for what he called the Art o...

It would help if you would say where you are in the spectrum of ageing: twenties, thirties,... When I was in my twenties, evading the Union Army as it...

Lemonics improves with age. Amazing, something that gets better the older you are! :cool:

Motivations vary in the mathematical community. What is common, however, is the drive to explore, sometimes with regard to the mysteries of nature, so...

:up:

That's an amazing article on Indian mathematics on Wikipedia. Ramanujan, of course, was one of the great geniuses in math. When I was a math prof I wo...

Sorry. I was feeling frivolous after reading the sandwich vs hotdog thread. :sad:

Alley Oop, perhaps?

You guys need to stop joking and start chomping away at this mouth-watering question at the heart of philosophy. :chin:

Thanks for the link. Nice paper. I have Penrose's massive book, but have only read bits and pieces. The rotation/translation bit makes sense, although...

Wow! That came out of nowhere. :yum: And to think some say that philosophers only look backward.

There are about 24,000 math topics on Wikipedia, many if not most by "Western minds". That doesn't sound like the Western mind is terribly limited.

I suppose there are psychoanalytic threads woven into the relationships between the gods of ancient Egypt, but, yes, nonsense. On the other hand, some...

There's more magic in complex analysis than in complex arithmetic. :cool:

Perhaps you are speaking of the canonical commutation rule in QM? Obtained by employing the imaginary number i. Otherwise I see no particular advantag...

I see a more divisive conflict between right-wing Republicans and left-wing Democrats. Not my experience at all. But if you mean entertaining the wisd...

Why? :chin:

:up:

1. is a colloquialism, not meant to be taken seriously.

I like to make sure statements like this are enshrined on the forum. :cool:

I've commented on this before. ArXiv.org receives 150 - 300 math papers a day, most probably pure math that vanishes into the academic aether after a ...

There's a one to one correspondence between points on such a line and points in the interior of the cube. You could look it up, it's a simple arithmet...

Competing with the wisdom of the ancients, such as:

Not worth the effort

If its any help, the "number" of points inside a cube is the same as found on one of its defining edges (lines).

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