/sci/ - Science & Math

for someone who constantly bitches about the lack of pragmatism in mathematics he sure hasn't proven any theorems that make any real life calculations easier or faster

>>15115635
>make any real life calculations easier or faster
Norman has done tremendously important work on math reform and pedagogy. Check out his rational trigonometry. It kind of got eclipsed when he resolved the Goldbach conjecture, but rational trigonometry is a godsend to math students.

>>15115666
so did he make any calculations easier or faster or what?

>>15115685
Not OP, but his rational trigonometry actually does make trigonometric calculations easier.

>>15115784
easier for humans to do shitty algebra exercises on a piece of paper or easier for the computer?

>>15115790
The lack of irrational numbers means that it's easier for computers too to maintain precision, yes.

>>15115844
computers only deal with rational numbers, so I don't understand what you mean

>>15115848
You said it yourself: computers only deal with rational numbers, therefore trigonometry without irrationals is easier for the computer. It's not rocket science, man.

>>15115866
show me one single procedure using rational trigonometry that saves the computer even one single calculation over the irrational version.
the computer automatically turns every single irrational number into a rational approximation, it makes no difference to him

>>15115885
You might be retarded. Do you even know how floating point numbers work?
Everytime you convert an irrational number to a rational approximation, you lose some precision. Every operation that you do, those errors accumulate, and the result ends up being inexact.
If all your inputs are rational and exact, there is no approximation to do, therefore the end result will be exact.

>>15115892
You cannot input irrational numbers into the computer, you can only input "exact" rational numbers. All the calculations the computer does are rational, it literally changes nothing in the end result.

>>15115899
Ok, so you're just retarded.
Everytime you ask the computer to calculate sin(x) and cos(x), the result will be irrational most of the time. The computer can't calculate irrational numbers, therefore the result will be an approximation, therefore the computer can only calculate approximations of sin(x) and cos(x), therefore the computer can only calculate approximations of irrational trigonometry.
The computer can calculate exact rational trigonometry.
Which method will be easier to use for a computer to calculate exact trigonometric calculations?

bump

>>15115612
This man will be remembered, which is more than many can say for some.

>>15115612
He'll just have to settle for winning at divegrass >>15115173

>>15115612
Alright Wildberger Bro's,
what do you think of this type of video edits
https://odysee.com/@musicam-geometria-utebantur:6/wildberger-edit-v1:4

>>15115885
>the computer automatically turns every single irrational number into a rational approximation
that's the one single calculation you don't need to do

bumpu

>>15117555
This is actually pretty nice, do you mind if i use it for part of it as a hype video for the 4cc?

>>15120069
not at all man, not at all.

that gives me an idea, imma see if ac/dc thunderstuck instrumental or i'm shipping up to boston has a good feel

>>15120092
Thanks, though I wonder if should splice this in for the video, considering WIldberger scored that goal that kept /sci/ alive this past autumn

>>15115848
>>15115885
>>15115899
Holy shit

>>15120196
>>>/wsg/4913574

here is a voice over with
https://www.youtube.com/watch?v=6JjPA3msnbo&ab_channel=InsightsintoMathematics

>>15120196
>>15120235
wrong link >>>/wsg/4914373

>>15120254
pretty neat