In maths, if i told a child to express e.g. the fraction 10/40 in its simplest form and convert it to a decimal they would have no problem, this is drilled into them at primary school.

Yet in science this very same operation might be expressed as "stalin walks 10m in 40s, what is his speed in m/s, use the equation speed = distance/time" and the answer wanted is 0.25m/s - yet making the conceptual link from the techniques which are learned in maths to what is required in science is nearly impossible for them to do by themselves - i am working hard on teaching this.

The second example is that they are taught in maths how to divide a number by a fraction by reversing the denominator and the numerator then multiplying, they can all do this. Yet if you tell a student in early 2ndary school science that when you divide a number by something >0 and <1, the number gets bigger their tiny brains literally explode, showering gore and bits of white and gray matter all over their stunned compatriots. I am also working on this.

i think its clicking with some....

morale of the math problem kids: ask ur mom to buy you vpn access for $5 per month and just torrent that game

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child: i want to learn about space, planets, stars, the galaxy, the universe, reality, existence, like what the FUCK is UP with this SHIT

me, their teacher: copy the following force diagram into your books, dont forget to underline your date and title

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toyot posted:it takes a real specific number table, to render all the points on a tubes (then triangulates the surface). like you give it radius=5, path=(set of points). ad hoc. the tubes here are superellipses (but can be any shape, closed or open), and they change along their length. like it can start as a circle and end as a square. so it's extrusion along a path, and the extrusion varies with position.

It sounds like you want to be able to generate arbitrary curves in 3d space, is that right?

As for recommendations: i found the book "abstract algebra" by dummit and foote to be pretty good. It assumes some practice with theorem proving so i can give recs for that as well if you like. Otherwise id recommend just doing the exercises in that book

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in my experience it's most productive to talk about these things when everyone is sober. feel free to pm me when you are

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