He quadrated the fuck out of those equations!
He quadrated the fuck out of those equations!
Not to be cynical, but this technique has been known for years (although I can't find where it is documented in the curriculum). This idea is documented in any textbook on linear ordinary differential equations (ODEs) as a solution method where b and c are actually functions. However, there is a central (average) function that crosses the axis (which is when the equation becomes "homogeneous"). Also, the technique breaks down though when the function a becomes "singular" (i.e. equal to zero) at specific points and you are just left with a 1st order ODE solution at that point (or points) which is even easier to solve with integration techniques.
Also, this solution requires more cognitive ability than guess/check then moving directly to the quadratic formula. So, while it seems novel, it doesn't really help anybody in the "general sense" because it only works for quadratic equations. The general ODE case I mentioned above works with functions that aren't necessarily even "symmetric" - meaning the center point +/-z are not the same value.
Given all that, I'm not sure how stuff like this makes it into journal papers.
Not to be cynical, but this technique has been known for years (although I can't find where it is documented in the curriculum). This idea is documented in any textbook on linear ordinary differential equations (ODEs) as a solution method where b and c are actually functions. However, there is a central (average) function that crosses the axis (which is when the equation becomes "homogeneous"). Also, the technique breaks down though when the function a becomes "singular" (i.e. equal to zero) at specific points and you are just left with a 1st order ODE solution at that point (or points) which is even easier to solve with integration techniques.
Also, this solution requires more cognitive ability than guess/check then moving directly to the quadratic formula. So, while it seems novel, it doesn't really help anybody in the "general sense" because it only works for quadratic equations. The general ODE case I mentioned above works with functions that aren't necessarily even "symmetric" - meaning the center point +/-z are not the same value.
Given all that, I'm not sure how stuff like this makes it into journal papers.
What application, if any, does this have to say, RSA decryption?
If I understand correctly, RSA is a polynomial based algorithm.
And this is used to quickly factor and solve quadratic formulas, which are second order polynomials.
But I'm not informed enough to take the thought any further than that. Anyone familiar with the topic?
What application, if any, does this have to say, RSA decryption?
If I understand correctly, RSA is a polynomial based algorithm.
And this is used to quickly factor and solve quadratic formulas, which are second order polynomials.
But I'm not informed enough to take the thought any further than that. Anyone familiar with the topic?
I just looked this up on Wonkipedia and it says they use functions in the form: φ(n) = (p − 1)(q − 1). This would explain why the algorithms are useful for second order computations. That's my best guess on the surface anyway, as I've not looked into much of this stuff.
I just looked this up on Wonkipedia and it says they use functions in the form: φ(n) = (p − 1)(q − 1). This would explain why the algorithms are useful for second order computations. That's my best guess on the surface anyway, as I've not looked into much of this stuff.
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