Convert light frequency to RGB?
Here’s a detailed explanation of the entire conversion process: http://www.fourmilab.ch/documents/specrend/. Source code included!
approximation
Circular approximation of polygon (or its part)
You can obtain curvature radius center for any 2 line segments find the lines midpoints cast perpendicular lines from each (red lines) find the intersection (it is the center of the curvature) In 3D use plane of the object (3 lines not 2). The radius is just distance between center and the lines joint point … Read more
Choosing random numbers efficiently
You can try using an existing Java implementation (or this one) for a Mersenne Twister. Keep in mind most MT’s are not cryptographically secure.
Unable to approximate the sine function using a neural network
Use a linear output unit. Here is a simple example using R: set.seed(1405) x <- sort(10*runif(50)) y <- sin(x) + 0.2*rnorm(x) library(nnet) nn <- nnet(x, y, size=6, maxit=40, linout=TRUE) plot(x, y) plot(sin, 0, 10, add=TRUE) x1 <- seq(0, 10, by=0.1) lines(x1, predict(nn, data.frame(x=x1)), col=”green”)
Increasing accuracy of solution of transcendental equation
If I understand this correctly, you’re trying to infer (but not measure) the radius r0 of the tube from measurements for y and a. Applying the usual error propagation to your formula for r0, one obtains (an estimate for) the error of the resulting r0. In the limit of small angles (applicable here, since a(t) … Read more
Approximating data with a multi segment cubic bezier curve and a distance as well as a curvature contraint
I found the solution that fulfills my criterea. The solution is to first find a B-Spline that approximates the points in the least square sense and then convert that spline into a multi segment bezier curve. B-Splines do have the advantage that in contrast to bezier curves they will not pass through the control points … Read more
How approximation search works
Approximation search This is analogy to binary search but without its restrictions that searched function/value/parameter must be strictly monotonic function while sharing the O(log(n)) complexity. For example Let assume following problem We have known function y=f(x) and want to find x0 such that y0=f(x0). This can be basically done by inverse function to f but … Read more