262 reputation
28
bio website github.com/cemulate
location United States
age 21
visits member for 3 years, 8 months
seen 18 hours ago

Jul
2
awarded  Curious
Jun
29
awarded  Enthusiast
Jun
19
awarded  Organizer
Jun
19
revised Real-analytic $f(z)=f(\sqrt z) + f(-\sqrt z)$?
add analysis tag
Jun
19
revised Real-analytic periodic $f(z)$ that has more than 50 % of the derivatives positive?
add analysis tag
Jun
19
suggested suggested edit on Real-analytic periodic $f(z)$ that has more than 50 % of the derivatives positive?
Jun
19
suggested suggested edit on Real-analytic $f(z)=f(\sqrt z) + f(-\sqrt z)$?
Jun
7
revised What is the relationship between the area of a triangle and an area of a segment of a circle?
added detail
Jun
7
awarded  Teacher
Jun
7
answered What is the relationship between the area of a triangle and an area of a segment of a circle?
May
24
awarded  Yearling
May
22
revised How to distinguish between knots and links based on knot diagrams/projections
edited title
May
22
asked How to distinguish between knots and links based on knot diagrams/projections
Apr
11
comment Why is proof of the [topological] closed graph theorem incorrect?
Thanks; I see now there's nothing guaranteeing that $N$ can be be written as $U' \times V'$ with $U'$ definitely a subset of $U$. Can I fix this approach or am I off altogether? I could use some hints going forward because I'm pretty stumped.
Apr
10
asked Why is proof of the [topological] closed graph theorem incorrect?
Nov
12
comment Which is larger? $20!$ or $2^{40}$?
Guys, I think the point is that anyone could have plugged these numbers into their calculator in a second. Posters who ask questions like these usually have the implicit assumption that they want to prove it elegantly without explicit computation - for novelty purposes.
Oct
14
comment How can I better understand manipulating “operators” in mathematical relations?
Thanks. Okay, I understand that you can do this algebra of functions, but if I just have some operator or map $A : U \rightarrow V$ and I have an element $u \in U$, then when I write $Au$ I mean the result of applying operator $A$ with input $u$? Is writing the operator next to a member of its input type "implied application"?
Oct
14
asked How can I better understand manipulating “operators” in mathematical relations?
Jul
8
accepted What “is” a matrix in the context of a vector space?
Jul
8
comment What “is” a matrix in the context of a vector space?
I think I understand. Since the space of ALL possible linear maps from V to W is isomorphic with the set of ALL m x n matrices, we can work with matrices and perform arithmetic on them and interpret our results in terms of linear mappings because of the isomorphism. So would it be reasonable then to view the "multiplication" of a vector by a matrix just an expression of the matrix's corresponsing map being applied to the vector? I think I'm splitting hairs at this point but I do feel more comfortable thanks to your post.