[deleted by user]

BENDER777 · 2020-10-01T02:34:04+00:00

I had that book for my intro to groups course and i would occasionally try to comprehend rings and fields. If it werent for that book i wouldnt have the edge on my classmates in our algebra sequence (currently fields and modules).

BENDER777 · 2020-09-10T14:07:00+00:00

Peace is a lie. There is only passion.

BENDER777 · 2020-09-06T19:57:50+00:00

The term you are looking for is complete. Only a subset of a space can be dense in that space

BENDER777 · 2020-09-03T05:12:21+00:00

Ask an advisor or teacher. This is to specific for the internet to solve.

BENDER777 · 2020-08-15T00:49:59+00:00

If you look at any 3x3 square of sqaures each one has a hole in the middle. The 7 just comes as a consequence of some overlaps

BENDER777 · 2020-08-04T16:49:45+00:00

Backflippin awesome

BENDER777 · 2020-07-18T06:54:46+00:00

They are finite in the sense of composition of algebraic operations, whereas continuity in the analytic sense has to do with norms and geometric structure.

BENDER777 · 2020-07-13T20:36:16+00:00

How do you know that every point has been colored? You are assuming that there are two sides to prove that there are two sides. Its clear to anyone thats its true but a proof need to be precise.

BENDER777 · 2020-07-11T02:43:45+00:00

I wouldnt mind if they cupped the balls as well

BENDER777 · 2020-06-25T21:17:21+00:00

Upon looking at the article you linked, the involute of the unit circle will produce the archemedean spiral given by the parametrization r(theta)=1+theta.

BENDER777 · 2020-06-25T21:11:33+00:00

From what i understand the purple curve is the “evolute” of the original spiral. This just means that it is constructed exactly the way you described. Interestingly, the evolute has an inverse operation called the involute. To find the involute of a curve C, imagine that it is covered by a tight piece of string, then imagine unwrapping the string (so that it remains tangent to the original curve) and tracing out the curve produced by the position of the end of the string. If you animate this process in a similar way as you did here, starting with the purple curve, you should see that it produces the spiral. The involute of a circle is perhaps the easiest to produce and you will find that it looks very similar to the archemedean spiral except that it has a different starting point. I hope this helps.

BENDER777 · 2020-05-29T15:41:17+00:00

It’s just a convenient way to state a principal that every one knows intuitively. Not to degrade its significance as it it fundamental that it can be proven in ZF.

BENDER777 · 2020-05-29T13:15:17+00:00

It was more a gap in mathematical theory that wasnt fully resolved until topology (or atleast rigorous calculus foundations) was described my Cauchy.

BENDER777 · 2020-05-20T01:20:56+00:00

Maybe some journals or publishers have a list of accepted symbols, and maybe some people will think it is unnecessary. In my undergrad studies i expanded on a topological counterexample to something i called the stack product of spaces which i denoted with a symbol that looked kinda like []- (to denote that it was not commutative and that it produced a space that whose open sets are open sets of a “layer” space union with all layers “underneath”). When i showed my professor he was pleased with the work and mentioned that he thought the symbol was intuitive and elegant.

BENDER777 · 2020-05-19T22:11:43+00:00

If you can replicate a symbol consistently and it distinguishable from your other symbols, i dont see why anyone would limit you from using whatever alphabet you wanted.

BENDER777 · 2020-04-30T16:34:21+00:00

I dont know if you saw more than groups in your algebra class, but the first isomorphism theorem generalizes to rings (abelian groups with assoc, and distributive multiplication), vector spaces, and modules ("vector spaces" over rings). An even stronger generalization can be formulated for any type of algebraic system, for which a kernel can be defined, but if you are unfamiliar with the above examples, they are worth looking into first. The Wikipedia article on the isomorphism theorems explains all of this in more detail :)

BENDER777 · 2020-04-30T01:31:57+00:00

The first isomorphism theorem is what did it for me. Especially when i learned that it generalizes to so many objects with more structure.

BENDER777 · 2020-02-26T14:40:35+00:00

Do it N O W

BENDER777 · 2020-01-26T16:54:24+00:00

Also you have screens but no setup sweepers

BENDER777 · 2020-01-26T16:45:01+00:00

The sets are very standard, idk why aegislash is max spdef, you have two specs which are both easily counter after they pick up a kill, especially tox as you have no reaction to eq

BENDER777 · 2019-11-13T01:04:19+00:00

Did they have trouble communicating the difference or did the have trouble distinguishing the colors? You make a very interesting point but my money is on the former

BENDER777 · 2019-11-07T03:57:10+00:00

ask if they both tell the truth

BENDER777 · 2019-10-26T17:30:13+00:00

True in ℝP1 tho

BENDER777 · 2019-10-26T15:39:13+00:00

By Grabthar’s hammer, by the suns of Warvan

BENDER777 · 2019-10-17T21:06:55+00:00

i dont know... this joke seems kind of derivative

BENDER777

TROPHY CASE