Ben Math

Originally posted by u/connconnfuntime

Ohhh fuck.... This was the only one I could find

So, it'd be a point in the complex plane 2^√2 ≈ 2.665 away from the origin, rotated √2 𝛑 radians, which is 1/√2 ≈ 0.7 of the way around.

So, about -0.7096 - 2.5689 𝑖.

What does an indifferent student do when faced with a series of quizzes that don’t seem to relate to anything, set by an evaluator who provides no feedback beyond marking answers right or wrong?

They’ll memorise, learning to identify particular types of questions and regurgitate the expected answers on demand, without developing any real understanding of what they’re talking about.

They’ll bullshit and guess, because the penalty for being wrong is no worse than the penalty for not answering at all, and a bullshit answer may score partial credit by accident.

They’ll come up with wild generalisations about the subject matter whose foundational reasoning is utter nonsense, but which happens to yield mostly correct answers, most of the time, within the narrow domain of what’s being tested for.

They’ll game the system, identifying patterns and flaws in the way the material is presented that allow correct – or at least correct-ish – answers to be derived independently what’s actually being asked for. (e.g., noticing that the same letter is never the answer twice in a row on a multiple-choice exam, or that an “all of the above” option is only included when it is all of the above, etc.)

Like, these aren’t failure modes of machine learning. They’re just failure modes of learning.

Two Dendritic Julia sets “Mating” to cover the sphere.

From the AMS-MAA Invited Address, What is the shape of a rational map? by Sarah Koch, University of Michigan. (Abstract) (paper 1) (paper 2)

Hear her discuss her talk and what it’s about here!

More about the Mating process and other videos of various types of Julia sets mating here!

solve the multiplication equation for each pair of individual digits and arrange them in the boxes just so

AND THEN ADD UP ALL THE NUMBERS IN EACH COLUMN AND GET THE RIGHT ANSWER????

Say I wanted to find the area of this 76 by 427 rectangle.

I split it up into some easier to find calculate areas and find the sum.

The way that I've constructed this, the diagonals will have the same power of ten. The extra cleverness in the lattice method is accounting for that double digit, and so the first digit needs to pop up to be counted with the next higher power of ten. And that's where all those lines come from. But that's still just the same as adding them up.

The lattice method is really useful, though, for multiplying polynomials. FOIL? What FOIL?

Resin Dice Sets

I made some my sphere with inspiration from patterns found in Mobius transformation 

Here is GIF by hyperbolic-gifs.tumblr.com

Below is tangent graph in relation to circle (R=1)

below is all six trigonometric functions on unit circle (R=1)