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  • 16 votes cast
Aug
17
accepted Calculating Distance of a Point from an Ellipse Border
Aug
17
revised Ways to define a curve
added 160 characters in body; edited tags
Aug
17
accepted Summation of an Arithmetic, Parametric Sequence
Aug
17
comment Summation of an Arithmetic, Parametric Sequence
Ok, but that still doesn't answer my first question. How EXACTLY did you get from D(n,r) = D(n−1,r) +(n−r) to the addition of those two summations (i and j)?
Aug
16
comment Summation of an Arithmetic, Parametric Sequence
Also, if I may prick your brain =), how did you so quickly realize that D(n,r) equaled D(n-r,0) + D(r,r) or that D(n,n) equaled n(n+1)/2 or that D(n-1, r) + (n-r) equaled D(n-1,r-1) + r? Are there some generic rules I'm not aware of?
Aug
16
comment Summation of an Arithmetic, Parametric Sequence
Thanks for sharing your insight, but I'm still a bit confused. I thought you'd have to take D(n-1,r) out of the equation in order to perform summation since it merely acts as a symbol for recursive addition of all preceding terms (which is taken care of by the summation). According to your answer, SUM(n-r) is equal to SUM(D(n-1,r-1)) while SUM(r) is equal to SUM(D(n-1,r)). I don't see how D(n-1,r) and D(n-1,r-1) could have any direct value considering they are just indicators that the sequence needs to be summed.
Aug
16
asked Summation of an Arithmetic, Parametric Sequence
Apr
15
accepted Finding the computational complexity of an algorithm
Apr
15
asked Finding the computational complexity of an algorithm
Dec
15
comment Ways to define a curve
Solve the equations, and I use c++
Dec
14
awarded  Commentator
Dec
14
comment Ways to define a curve
That's some useful software, but do you know of any libraries that i can actually incorporate into my physics engine?
Dec
14
comment Calculating Intersection of an Ellipse and a Line
@J.M. Ok good to know. Do you have any info reguarding my other questions?
Dec
14
comment Ways to define a curve
@Emmad That would be great! What software/ math libs do you suggest for finding intersections? I'm pretty sure I can get the movement of all the edges of my bodies down to a single equation that depends on time.
Dec
14
asked Ways to define a curve
Dec
14
asked Calculating Intersection of an Ellipse and a Line
Dec
13
comment Calculating Distance of a Point from an Ellipse Border
Thanks for the helpfulness, let me know if you can think of any other less-precise, faster methods for approximating the distances!
Dec
13
accepted Equation to check if a set of vertices form a real polygon?
Dec
13
accepted 2D elastic collision equation: How does it work?
Dec
13
accepted How to find the center of mass of a complex 2d shape