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Jul
4
revised Pseudo-Surreal numbers are analogous to?
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Jul
4
answered Pseudo-Surreal numbers are analogous to?
Jul
1
comment Examples of calculus on “strange” spaces
Maybe you're looking for the term "derivation" in the sense of abstract algebra? Maybe you'd be interested in en.wikipedia.org/wiki/Arithmetic_derivative ?
Jul
1
answered Decoding the sign expansion of surreal numbers
Jul
1
comment Unusual result to the addition
@rogerl It's worth noting that that expression for a sequence of 1s can be found as an application of the formula for the sum of a finite geometric series.
Jul
1
comment Rational Irrational Numbers
As an aside, you may be interested in reading about continued fraction representations of numbers, where irrational solutions to quadratic equations with rational coefficients (like $\sqrt2$) have repeating expansions, but other irrationals don't.
Jul
1
comment “On Numbers and Games” or “Winning Ways for Your Mathematical Plays”?
I read those two simultaneously, but I would recommend Lessons in Play as a starter book over either of those. It's more accessible to an undergrad and generally clearer about theorems and proofs, for the most part. After that, if you want to read heavier/broader theory, Combinatorial Game Theory by Siegel would be a good option (covering essentially all of the theorems from ONAG and WW), but it doesn't have too many examples, being a graduate textbook.
Jun
19
comment Is there such a thing as “quadratic independence” (and higher generalizations of linear independence)?
Aside from algebraic independence, the other thing that comes to mind is the concept of "matroid", which is the sort of abstract general structure linear independent sets of vectors have.
Jun
18
answered Summation functions for wall clock, 10AM, 11AM and 12PM tips needed
Jun
15
answered Is there anything I could read that talks about dimensionality of prime/composite numbers?
Jun
13
comment Count number of colorings of tetrahedron, where colorings are indistinguishible if one can be reached from another by rotation
Try googling Burnside's Lemma or searching for answers on this site that apply it to counting problems. I've written a couple, but can't write out a full hint/toy example now.
Jun
13
comment The disc of convergence of a power series
"Geometrically" is alluding to a limit comparison test (or similar) with a geometric series which is known to converge.
Jun
11
comment Principle of mathematical induction
Roughly: Induction is an axiom if you use PA to define the natuals, and a theorem if you're using a set theoretical basis. The fact that there are different axiom systems that can make sense and lead to a certain conclusion you find obvious is a fact of life in mathematics.
Jun
10
comment Trajectories in orthogonal systems
The orbits are only circles in 2d when the eigenvalues have zero real part. Nonreal eigenvalues isn't enough.
Jun
5
comment Why can the transformation derived from a list of points and a list of their transformed counterparts not be affine or linear?
@null Absolutely right. As long as the three initial points don't lie on the same straight line, you will be able to solve the 6 equations for the 6 unknowns.
Jun
5
revised Why can the transformation derived from a list of points and a list of their transformed counterparts not be affine or linear?
deleted 1 character in body
Jun
5
comment Why can the transformation derived from a list of points and a list of their transformed counterparts not be affine or linear?
It might be good to edit in more of the context so that your question does not depend on those links never breaking.
Jun
5
answered Why can the transformation derived from a list of points and a list of their transformed counterparts not be affine or linear?
May
31
comment Find least numerator and denominator for a given sequence of numbers in decimal form
If there is a nice algorithm, it may be related to continued fractions. If you just want a handful of specific cases, things like wolframalpha.com/input/?i=Rationalize%5B0.1234444%2C.0000001%5D might work for you.
May
28
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