1. L

    Salesman simplified?

    Is it helpful to reduce the Travelling Salesman (TS) problem by considering those cities neighboring closest to each other in each of n similar but separate groups, numbering approximately the logarithm of the conventional route permutations? Recall Stirling's approximation: ln|n!|=n*ln|n|-n...
  2. B

    Limit of f(x)/q(x) with q(c) = 0 that can not be simplified.

    Is it true that if \lim_{x \to c} \frac{f(x)}{q(x)} with q(c) = 0, f(c) \in R and if that fraction can not be simplified any more, then this limit will always diverge. Example: \lim_{x \to 1} \frac{1}{x-1} diverges because: \lim_{x \to 1^-} \frac{1}{x-1} = - \infty \lim_{x \to 1^+}...
  3. 2

    Can this logic be simplified?

    Is this the right section to post this? I am not sure where it belongs. I apologize if it's the wrong place. I'm an adult, working on a personal project and wonder if this logic can be simplified. It's been about 100 years since I took a math course, so please forgive my lack of knowledge...
  4. W

    Want to know how the denominator simplified in this derivative problem

    Hello, I was following the solution of this derivative equation, but before the last step, there's a simplification to the denominator which I don't know how the author did it.
  5. J

    Provided solution isn't simplified and is wrong?

    Observe the following problem: Notice that the answer doesn't seem right. Shouldn't K be C*(4*pi)*(3/(4*pi))^(2/3) rather than C*((4*pi*3)/(4*pi))^(2/3)? Or am I wrong and I don't understand? If this answer isn't wrong, then why isn't it simplified? What's going on here? This was the...
  6. L

    Simplified expression

    Hello, How can simplified this expression?
  7. I

    Can this be simplified?

    $$\frac{(2A - B) \cdot (2A - B - 1) \cdot (2A -B - 2) \cdot (2A - B - 3)}{(A - B) \cdot (A - B - 1) \cdot (A - B - 2) \cdot (A - B - 3)}$$
  8. D

    Which of these would be the most simplified?

    I was doing some practice questions when I stumbled upon an answer which could be written two ways, and I don't know which would be considered most simplified and why. Would it better to write it as 1/2 * x^(-1/2), or 1/(2sqrt(x)), and why? Also, is it better to have (x^5)/2 rather than 1/2 * x^5?
  9. N

    Logic Theory - Simplified - with Contexts

    I have managed to prepare my idea in a more readable format. I hope this helps in getting my point across. Any constructive comments are welcome. Here is the dropbox link
  10. P

    10 Minute Video - Sine Rule Proof Simplified

    Here is a proof of the famous sine rule a/sinA = b/sinB = c/sinC: An Alternative Sine Rule Proof - a/sinA = b/sinB = c/sinC - YouTube It's a 10 minute video tutorial for those of you who don't just accept facts, but try to understand why they are true.
  11. S

    Alternative, simplified proof for the Bourbaki Fixed Point t

    Theorem: Of a mapping f : A ? A such that the relation from any pre-image under f to any image under f is '?', i.e., x ? f(x) for all x ? A, the statement 'there exists some x ? A such that f(x) = x' is true by necessity. Proof: Admit some B ? A such that propositions (1) and (2) are true with...
  12. M

    Can this be simplified any further?

    Can the following be simplified any further? b(a-b)(x+y)-y(a+b)+b(x+y)(a-b-1) I've spent a lot of time to get it to this point, but I just want to make sure.
  13. P

    Simplified Explanation Of Algebraic Ring Theory

    Looking for a super simple basic explanation of ring theory.
  14. V

    What's the simplified of equation of this ellipse?

    Sketch the graph of the following function: 9x^2-72x+y^2-4y+112=0 I have tried using completing the square, however I was unsuccessful in my attempts to simply the equation. The answer for the equation of the graph is meant to be 36(x-4)^2 +4(y-2)^2=144. Anyway, if anyone could help me out on...
  15. E

    can this be simplified for S?

    I was thinking if the formula below can be solved for S? L = 8Dsquared/3S + S I already got the answer through the quadratic as numbers were given for L (80) and D (2.5). But just for the heck of it I tried to resolve it for S. Multiple S variables keep fouling me up no matter what route...
  16. P

    Simplifying recurring decimals into simplified fractions

    Can someone show me how to do these asap.. test tomorrow
  17. R

    Need verification of simplified integral

    I have an integral as shown below in figure 2. I have just bought a TI-89 Titanium graphing calculator and when I put that integral in it gave me an exact answer that is a simplified equation of the integral shown in figure 1. My question: is that correct? The reason I am so skeptical of this is...