10:09 I am saddened to see the opportunity missed of using _p_ and _q_ instead of _b prime_ and _d prime_ ; writing a 2-storey _a_ instead of a 1-storey one so that _e_ could be used instead of _a prime_ ; and _u_ and _n_ instead of _c_ and _c prime_ . Is the old BBS tagline joke about umop ap!sdn forgotten nowadays? (-:
Create such a rotated pair of equations, but instead of the variable x use two variables d and p (or b and q). Now you have a system of two equations in two variables to solve.
0:31 There are going to be two reactions to this: the geometers who point out that one needs _two_ reflections to make that rotation, and the algebraists that retort that it _still_ doesn't matter. Let us pretend that we cannot hear the number theorists in the corner darkly muttering that if only this had been extended to three digits, it would have brought zero into play; or the topologists with confused expressions asking what differences between these equations they are supposed to be seeing. (-:
(desmos addict) I've recently been playing with the idea of using inversive or conformal geometry, or maybe just projective, to obtain things which behave identically to trig functions without using trig functions, any imaginaries, or anything other than sqrt, sq, +, -, /, *. (in specifically parametric equations) The best I've managed so far I think is a repeating cross product, and normalization for moving in a circle. but that method requires an action or ticker and lists and stuff, and that's not ideal. I want a non-trig, non-complex, parametric function without hard math operations which moves in a complete circle around the unit circle once every 2pi on a variable. And I've come close in many different directions, my favorite is the idea of creating part of a sin wave and part of a cos wave with polynomials then using the mod function creatively to make it loop perfectly then use that. I know I said simple functions only, and mod is pushing that but its just finding remainders. I love that it can be used for periodicity.
its a 'rotational' upside down, not a 'flipping' type of upside down. unfortunately upside-down can be ambiguous, but he consistently used the rotational version in this video
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
Now I'm going to be up all night trying to come up with an invertible equation where imaginary numbers turn into factorials.
That would be impressive!
This is so random, but I love it!
10:09 I am saddened to see the opportunity missed of using _p_ and _q_ instead of _b prime_ and _d prime_ ; writing a 2-storey _a_ instead of a 1-storey one so that _e_ could be used instead of _a prime_ ; and _u_ and _n_ instead of _c_ and _c prime_ . Is the old BBS tagline joke about umop ap!sdn forgotten nowadays? (-:
86 smopu!m
Create such a rotated pair of equations, but instead of the variable x use two variables d and p (or b and q). Now you have a system of two equations in two variables to solve.
This is a fun idea!
I kinda want to put one of these together that has complex roots, just because of noticing that z is rotationally symmetric just like x is...
0:31 There are going to be two reactions to this: the geometers who point out that one needs _two_ reflections to make that rotation, and the algebraists that retort that it _still_ doesn't matter. Let us pretend that we cannot hear the number theorists in the corner darkly muttering that if only this had been extended to three digits, it would have brought zero into play; or the topologists with confused expressions asking what differences between these equations they are supposed to be seeing. (-:
)(: :)(
cartwheels
I would prefer to pretend that I didn’t waste 90 seconds reading your comment.
I only just realised, the symbol for x is rotationally symmetric
Happy new years!
(desmos addict)
I've recently been playing with the idea of using inversive or conformal geometry, or maybe just projective, to obtain things which behave identically to trig functions without using trig functions, any imaginaries, or anything other than sqrt, sq, +, -, /, *. (in specifically parametric equations)
The best I've managed so far I think is a repeating cross product, and normalization for moving in a circle.
but that method requires an action or ticker and lists and stuff, and that's not ideal.
I want a non-trig, non-complex, parametric function without hard math operations which moves in a complete circle around the unit circle once every 2pi on a variable. And I've come close in many different directions, my favorite is the idea of creating part of a sin wave and part of a cos wave with polynomials then using the mod function creatively to make it loop perfectly then use that. I know I said simple functions only, and mod is pushing that but its just finding remainders. I love that it can be used for periodicity.
0 => 0 in the middle of 3+ digital numbers
Ah yes, the utility of mathematics
Isn't the upside down version of x/96 + 1 = 1/x + 1/16 going to be 91/1 + x/1 = 1 + 69/x?
No
No.
its a 'rotational' upside down, not a 'flipping' type of upside down. unfortunately upside-down can be ambiguous, but he consistently used the rotational version in this video