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1932
bio website Workingonit...
location Pasadena, CA
age 20
visits member for 2 years
seen 13 hours ago

Undergraduate sophomore at Caltech. PROMYS student and counselor.

Things I am confused about, in the form of media titles:

  • The Trouble with Tensors
  • My Little Functor: Category Theory is Magic

1d
revised Requirement That a Vector be Related to Itself Through Identity
added 353 characters in body
1d
answered Requirement That a Vector be Related to Itself Through Identity
Jan
13
answered How to resemble hyperbolic trigonometric functions (HTF) from normal trigonometric functions(NTF)??
Jan
8
awarded  Yearling
Jan
7
comment If $f(AB) =f(A)f(B)$, then $A$ is inversible iff $f(A)\neq 0$
Have you proven that all singular matrices (over a field) are zero divisors?
Dec
19
awarded  Constituent
Dec
15
revised Choosing “Conjugating element” from a subgroup
does this appease the downvoter?
Dec
8
awarded  Caucus
Dec
5
revised Can an explicit formula be found for a bijection $f \colon \mathbb{N} \to \mathbb{Q}$?
proof added
Dec
5
answered Can an explicit formula be found for a bijection $f \colon \mathbb{N} \to \mathbb{Q}$?
Nov
30
revised Homomorphism $\mathbb{R}\to \mathbb{Q}$
added 149 characters in body
Nov
30
answered Homomorphism $\mathbb{R}\to \mathbb{Q}$
Nov
10
comment Fun results from modular arithmetic
This isn't really a "number fact", but a description of RSA and a proof that it works would be an interesting, motivated result.
Nov
9
comment Can we start studying number theory before abstract algebra?
Good comment, solid advice, PROMYS mentality, 3wise5me, 10/10 would +1 again.
Nov
9
comment Product of numbers that remains invariant repeatedly when adding one to all of them
+1 for the velociraptor
Nov
9
comment Group, QR, QNR, Product of distinct primes
For the first question: what is $1 + 1 + \cdots 1$ ($p$ times). Second question: If a QR times a QNR gave you a QR, what would that imply? QNR times QNR is a bit more interesting...
Nov
6
comment Vector coordinates in terms of magnitude and angles with axes
Yep, it does! What're two ways of writing $\vec{v} \cdot \vec{v}$? (Hint: distribute)
Nov
6
revised Suplementary law and reciprocity
added 9 characters in body; deleted 1 character in body
Nov
6
comment Suplementary law and reciprocity
It's not Euler's Criterion; there's a separate theorem that $2^{(p-1)/2} \equiv (-1)^{(p^2 - 1)/8} \pmod 8$, but I can't remember the name offhand.
Nov
5
comment Suplementary law and reciprocity
Well, if $p = 8k + r$, $\omega^p = \omega^8k \omega^r = \omega^r$, so for part i), we only need to check two cases: plus and minus one.