Quadratic Formula

[Gecko777]

I recently learned the Formula in my math course and I am wondering if it is used in cubing at all. Thanks!

 

[JDAW6]

I recently learned the Formula in my math course and I am wondering if it is used in cubing at all. Thanks!

Could you stop with the unfunny and spam tags?

 

[qwr]

I recently learned the Formula in my math course and I am wondering if it is used in cubing at all. Thanks!

no, it's group theory

 

[Gecko777]

Quartic formula?

 

[Jorian Meeuse]

Quartic formula?

Not unless you are able to concoct a quartic equation whose roots are in any way relevant to a rubik's cube, in which case your devising this equation would most likely be more significant than the fact that the equation can be solved using the quartic formula.

 

[Deleted member 36445]

 

[qwr]

Off-topic rant but I really wish math education would cover this better:
Soon you will be covering matrices and they will tell you about a very important quantity: the determinant.
DO NOT accept their definition relating to summing up submatrices or, even worse, something about row operations and Gaussian elimination. This gives you no intuition. They did this in my public school and it teaches you nothing. At least the definition about being 0 or not gives you some insight into the linear transformation the matrix specifies.
Just know that the determinant is the signed volume change a linear transformation specified by the matrix will give you. This will also make it obvious why det != 0 means a matrix has full-rank, is invertible, map is a isomorphism, etc. versus det = 0 meaning matrix is not full-rank, not invertible, etc.
As a bonus you'll get a nice area formula for the parallelogram in R2 and parallelepiped in higher dimensions.

 

[Christopher Mowla]

Yes, I have used it for nxnxn parity state analysis. This paper shows usage of algebra, trigonometry, calculus, and some discrete math.

Although I develop a (two variable) quadratic expression in that paper, I later used the actual quadratic formula itself (not in that paper, but in a book I intend to publish within the next few years) to solve an equation where the "numbers" are actually variables themselves. Probably a little over your head right now due to the context for which it is used!

TLDR. Yes, but in a very niche part of "nxnxn Rubik's Cube theory" that would be more trouble than it's worth to understand why it's being used there. (At least from someone who just wants to see "applications" of high school math in cubing.)

 

[Gecko777]

Yes, I have used it for nxnxn parity state analysis. This paper shows usage of algebra, trigonometry, calculus, and some discrete math.

Although I develop a (two variable) quadratic expression in that paper, I later used the actual quadratic formula itself (not in that paper, but in a book I intend to publish within the next few years) to solve an equation where the "numbers" are actually variables themselves. Probably a little over your head right now due to the context for which it is used!

TLDR. Yes, but in a very niche part of "nxnxn Rubik's Cube theory" that would be more trouble than it's worth to understand why it's being used there. (At least from someone who just wants to see "applications" of high school math in cubing.)

I love reading maths things that are above my level so I'll check this out! Thanks!

 

[siwoo]

Could you stop with the unfunny and spam tags?

 

[JDAW6]

View attachment 32550

His were funny when there were like 3 or 4 now he has 17 trillion and it’s annoying