Recent content by kts123

  1. K

    Finding Angles in Tool and Die Mathematics Questions

    He said he's "about to begin" Calc III.
  2. K

    C/C++ Should I Learn PHP Before C++ for University?

    Well time to throw MY hat into the ring? I'm not sure about C++ or all of that other jazz, but after having practiced Python for some two weeks I can say I love it. It's easy to learn, and easy to put into practice -- in a few hours you'll know enough to make a script that hunts prime numbers...
  3. K

    Discover Your Personality Type: Take the Quiz!

    I'm not really sure what you're asking but... Why not try "indexing" values? For example... Question1 ~~~~~~ Choice A gives +2 points to personality A, +1 to personality B, +0 to personality C, etc. Choice B gives +1 points to personality A, +4 to personality B, +1 to personality C...
  4. K

    Discovering a Moving Orbit Algorithm

    F doesn't need to strictly increase, it simply needs to increase "slower" than g. Anyway, your last statement sums up the result very nicely. I *think* you have a functional translation, so kudos.
  5. K

    What Happens to sin(i) for Complex i?

    Oh, I forgot to finish when I got to e ^ {ln(i)*i} . Since e ^ 0.5*pi*i = i, then (obviously) ln(i) = 0.5*pi*i Now we have: e ^ {(\pi*0.5*i)*i} In the exponent this yields: i*i (pi/2) = -1(pi/2) = -pi/2, so i^i = e ^ {-\pi/2} . Since we can add or subtract 2pi to pi/2 and not...
  6. K

    What Happens to sin(i) for Complex i?

    There actually exists an infinite number of solutions to that problem. When raising a real number to a complex value, we compute as follows: a^z = e ^ ln(a)*z. Where e ^ ln(a) = a, and z is a given complex number. In otherwords, when we raise a number "a"," to a complex power "z", the...
  7. K

    Discovering a Moving Orbit Algorithm

    Oops, I forgot to specify by what I mean by "iterate." Take a single number, 3, and then apply a function to it: 3*2 = 6 now take the output and apply the function to THAT: 6*2 = 12 now take the new output and apply the function to THAT: 12*2 = 24 now take the new new output and apply...
  8. K

    Discovering a Moving Orbit Algorithm

    After a little thought, it also seems like this might be adapted into other contexts (complex functions, with neighborhoods as criteria for example.) I'm not really sure if this is useful or worth bothering with though, since it really is nothing more than an algorithm -- I guess there really...
  9. K

    Difference between an Equation and an Identity?

    ^ That's odd, I've covered lots of identities and I've never once seen that in any textbook (nor during the bajillion trig identities I was forced to prove in high school.)
  10. K

    Discovering a Moving Orbit Algorithm

    A moving "orbit"? I'm using the term orbit in a non-mathematical sense, because I don't know what it is I've just thought up! It seems very interesting to me, does anyone know what it is I've stumbled on? Imagine an algorithm that is iterated as follows: *I must stress that g( ), f( )...
  11. K

    Recommended Complex Analysis Books for Self-Study: A Scientist's Perspective

    I'm using Fundamentals of Complex Analysis: With applications to engineering and science by Staff and Snider. It starts off with a clear explanation of complex arithmetic, and smoothly introduces the Riemann Sphere (at least in the latest edition) as well as other concepts such as exponential...
  12. K

    Equation of a rotated parabola knowing only 3pts the equation has to satisfy

    Try brute algebra force? That's my only suggestion. Observe that for a parabola symetric between the Y axis (I forget what that's called) for every point, (x,y,) there is a corrisponding point, (-x,y), such as that (x,y) and (-x,y) are equal in distance to the y-axis (the point x=0.) When...
  13. K

    Equation of a rotated parabola knowing only 3pts the equation has to satisfy

    ^ I think the TC may have implicitly implied that the focus and directrix are positioned at (0,p) and (0,-p) respectively, and then rotated from there.
  14. K

    Reasons why infinity hasn't been implemented into modern math

    To help explain what Mr. Grime has said, contemplate the following: "My talent is not having any talents." as opposed to "I have no talents." One makes a declaration, wheras the other implies a sentiment (and in such a way that in contradicts itself.)
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    Reasons why infinity hasn't been implemented into modern math

    My main problem is that low-level algebra defines infinity as undefined, when in reality we have no reason to classify it so. Zero is also a special class of number, which has its limited uses, but we find the time to define that. We call it undefined for the same reason we tell...
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