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age 19
visits member for 2 years
seen Sep 11 at 22:06

NKSSS attendee


Dec
4
asked How did people calculate numerical values of transcendental and trigonometric functions?
Nov
29
answered vector subspaces in $\mathbb{R}^{4}$
Nov
28
suggested suggested edit on Showing $f(0) = 0$ and $|f'(x)| \leq M$ implies $|f(x)| \leq M |x|$.
Oct
29
comment Show that the function $g(x)=x^4+x^3+1$ is one-to-one on $[0,2]$
Oh, sorry, never mind. For some reason I interpreted "factor" as "divide out by." My mistake.
Oct
29
comment Show that the function $g(x)=x^4+x^3+1$ is one-to-one on $[0,2]$
Why are you allowed to factor out $x_1-x_2$ if they're equal?
Oct
27
comment Can you approximate a vector field?
It would be one half, because there is an overlap in the information being used for the averages. But the actual implementation of averaging the is immaterial - you could think of lots of ways to do so. Yes, I was referring to a discrete grid of vectors that represents the vector field - that was what your question was asking - how to show general trends - no?
Oct
26
comment Can you approximate a vector field?
Yes - there would be less information about the field in the image. For example, if you plot some vector field $\vec v$ on a grid with steps $\Delta y$ and $\Delta x$, then after averaging $\vec v'(x, y) = (v(x, y) + v(x+\Delta x, y) + v(x, y+ \Delta y) + v(x-\Delta x, y) + v(x, y- \Delta y))/5$ and plotting a vector on every point on the grid with steps $2\Delta y$ and $2\Delta x$, you'll end up with half the vectors you started with.
Oct
9
answered How do i differentiate this function with e to the x and fraction?
Oct
8
comment How do i differentiate this function with e to the x and fraction?
Is this homework?
Aug
28
comment Calculate the area on a sphere of the intersection of two spherical caps
Ah, I understand now.
Aug
28
comment Calculate the area on a sphere of the intersection of two spherical caps
Yes - but by "plane representation" do you mean the projection onto the $xy$-plane? Because then the two circles would look like ellipses (and that's why I asked the question that you answered for me before).
Aug
28
comment Calculate the area on a sphere of the intersection of two spherical caps
I'm having trouble understanding your diagram - Is the shaded region the area that you're trying to find? What is its relation to the intersection of the two spherical caps?
Aug
28
revised Calculate the area on a sphere of the intersection of two spherical caps
New solution
Aug
28
comment Proving XY is perpendicular on :CD
Is this homework?
Aug
27
accepted How can I describe the area between two ellipses?
Aug
27
comment How can I describe the area between two ellipses?
Okay, @Lubin. That makes sense now. And an intersection between a circle and ellipse is guaranteed to be a simple type II region. Thanks, Christian.
Aug
27
revised How can I describe the area between two ellipses?
Title change for clarity
Aug
27
comment How can I describe the area between two ellipses?
Yes, I suppose I should have been more hesitant to use the word "define" in Math.SE when I meant "describe, delineate" rather than the mathematical interpretation of "define." But to be fair I did say "describe $\Sigma$" when I was presenting the problem in the text under the title.
Aug
27
comment How can I describe the area between two ellipses?
Also, you're assuming that the intersection $S$ is a type I region. I can draw a circle and ellipse intersecting in a way such that they are not a type I region
Aug
27
comment How can I describe the area between two ellipses?
Why can we assume that $E_1$ is a circle, not an ellipse?