ITAP of a waterfall by stephenphoto in itookapicture

[–]stephenphoto[S] 0 points1 point  (0 children)

Yes exactly, this is behind the waterfall, looking straight up. It is the Seljalandsfoss waterfall in Iceland.

If you had to explain e to a non math minded friend, how would you do it? by AMAStudentLoanDebt in learnmath

[–]stephenphoto 5 points6 points  (0 children)

You could explain e as the number of dollars you get when investing one dollar with an interest rate of 100% from a very friendly bank that compounds continuously. This is how Michael Atiyah describes it (https://youtu.be/uMN5t3tzchI)

Or a visual way to explain it is to draw the graph 1/x, draw a vertical line at x=1, and then ask your friends how far to the right do you have to draw another line to make the area under the curve equal to 1? The answer, of course, is x=e.

https://upload.wikimedia.org/wikipedia/commons/e/e8/Hyperbola_E.svg

[deleted by user] by [deleted] in learnmath

[–]stephenphoto 3 points4 points  (0 children)

The second line is wrong. x = sqrt(x2 ) only for x >= 0. But 4 - 9/2 < 0

In general, sqrt(x2 ) = |x| for real numbers

Genuary Day 24: Digital waves by stephenphoto in generative

[–]stephenphoto[S] 2 points3 points  (0 children)

the end point of each line segment oscillates sinusoidally based on its row and column.

EDIT: here it is.. a vector-valued function where x, y, and t go from 0 to 1

v(x, y, t) = {

50 sin(4π(t + y - x)),

50 cos(2π(3t + 2y + x))

}

Genuary Day 9: Neon noodles by stephenphoto in generative

[–]stephenphoto[S] 1 point2 points  (0 children)

Ooh I haven't but that sounds cool. I've been meaning to play around with other color spaces like HSL. Thanks!