How to divide the area under a curve into equal segments

I am trying to divide the area under a curve given in tabulated form into equal area segments. I have to solve the following integral and find a set of points x_0,x_1,...,x_k,x_N for which the following holds Unfortunately, I don't really see how to

Solve 4 parameter constants (Rodbard equation) using Python

I am new to python and what I am trying to do is write an algorithm to solve for the 4 unknown parameters in the Rodbard Equation where we are relating a grayscale value measured using ImageJ to optical density calibration discs. This equation is non

Loop to solve a number of nonlinear equations with nleqslv in R

I have a problem in solving a number of non-linear equations with nleqslv in R in order to solve for a distance-to-default measure. This is my first R code, so I am still struggling with some problems. My code looks like this (miniaturized to a three


I have been currently assigned a work where I need to translate a SAS code to R. I have been able to successfully do 80% of it and now I am stuck at the part where PROC NLIN is used. From what I read, PROC NLIN is used to fit Non-Linear Models andI a

R: Using the equation with natural logarithm in nls

Good day, I am struggling with R and natural logarithm (ln). Firstly, I cannot find a ln(x) function in R. I have noticed that log(x) is the same as ln(x) (when using ln(x) with a calculator). In R: log(5) = 1.609438 And with a calculator: ln(5) = 1.

MATLAB - Need help to draw a highly nonlinear function

This is the equation that I want to plot in MATLAB - I want to sweep the variable Vbi from -5 to +5 and then plot the variable T for each individual value of Vbi (essentially T vs. Vbi) for Nd = Na =1015, 1016 and 1017. I know Vbi can be swept by cre

Solving the nonlinear equation in matlab

I need to know how to solve a system of nonlinear equations but varying a parameter, so that every time you change that parameter will throw me the result of that system (need all results), I thought a for, which is changing the parameter, solve the

nonlinear equation R

I like to fit a nonlinear equation(g and h are the parameters): q = g * (h**age)/(1 + g * (h**age)); restrict q = .05 when age = 50: i.e. g * (h*50)/(1 + g (h**50)= .05. This means when age = 50 the predicted value q equals the q in the data. Thanks

Maximization of the nonlinear equation in Java

I want to determine the value of x for which a certain function (similar to the next one) is maximized: It is clear that the maximum of A is reached when x = 0, and then A = 200. How could I solve this problem in Java? Update: Sorry for not making it

Exit an applescript application after running a shell script

I was wondering if it is possible for an applescript application to run a shell script, then quit before the execution of the shell script is completed. This would be useful when running a server for a given amount of time. Instead of needing the app

Solving an equation with scipy fsolve

I'm trying to solve the equation f(x) = x-sin(x) -n*t -m0 In this equation, n and m0 are attributes, defined in my class. Further, t is a constant integer in the equation, but it has to change each time. I've solved the equation so i get a 'new equat

Resolution of multiple phase angles for several equations

I have several equations and each have their own individual frequencies and amplitudes. I would like to sum the equations together and adjust the individual phases, phase1,phase2, and phase3 to keep the total amplitude value of eq_total under a speci

Limitations of the Levenberg-Marquardt algorithm

I am using Levenberg-Marquardt algorithm to minimize a non-linear function of 6 parameters. I have got about 50 data points for each minimization, but I do not get sufficiently accurate results. Does the fact, that my parameters differ from each othe