Recent content by Mandlebra

  1. M

    Undergrad When the Rational Root Theorem Fails

    The quartic formula! Didn't you learn it in school? :p
  2. M

    Graduate Detecting Oscillation in Dynamic Models: A Time-Intensive Challenge

    There are many cycles with oscillatory convergence, with the limit actually a limit cycle. The hailstone sequences come g to mind. @chiro
  3. M

    Graduate Detecting Oscillation in Dynamic Models: A Time-Intensive Challenge

    Oscillations in this case are more often called orbits
  4. M

    Graduate What exactly allows a differential relation form of an equation?

    For f not a function of y or theta, dy= fdθ Then its just symbol pushing.
  5. M

    Graduate Is There a Predictable Pattern in Prime Exponent Series Gaps?

    Is it really ALL? That makes this far more interesting. Mind linking a paper or something?
  6. M

    Undergrad Zeros of f(x) vs. Zeros of f'(x)

    If f is a polynomial with all roots of multiplicity one, then the derivative does not have a zero in common with f. To see this, express f factored, use product rule for derivatives.
  7. M

    Graduate What Is the Mathematical Depth Behind Ramanujan's Integral Identity?

    I'm pretty sure it is infinite. Good luck, ram was a beast
  8. M

    Undergrad Indefinite Integration of function's like log(cos(x))?

    I think this guy gets the u= x-pi/2 treatment. symmetry :)
  9. M

    Graduate Principal curvature used in a contact problem

    Curvature is the reciprocal of the radius. Is that what is confusing you?
  10. M

    Graduate Proving/Disproving: Coprimes & (an + bn + cn ) / abc

    If the sum is divisibleby abc what does that say about the terms
  11. M

    If F is ANY field then (x^m-1)|(x^n-1) in F[x] if and only if m|n.

    Ok aassuming they are: Perform division, paying attention to the form of the powers you get for the quotient
  12. M

    If F is ANY field then (x^m-1)|(x^n-1) in F[x] if and only if m|n.

    What are m,n? Naturals I assume
  13. M

    Undergrad Why can't you break the limit of x*sin(1/x) into two separate limits?

    I thought it was easily inferred...
  14. M

    Undergrad Is There a Recognizable Pattern in the Distribution of Prime Numbers?

    A lot of modern analytic number theory advances are being made using hardy's major and minor circle (arc?) Technique, but most advances just seem to be bounds improvements
  15. M

    High School Hi, I m trying to find out, what is imaginary unit/number. i^2

    On the quaternion bit, any purely imaginary unit quaternion is a root of -1. Also they are 4D not 3 : p