Vogel Approximation Method

The Triangle method is due to Zack (Zack GW, Rogers WE, Latt SA (1977), "Automatic measurement of sister chromatid exchange frequency", J. Histochem. Cytochem. 25 (7): 741d-deOCt53. A line is constructed between the maximum of the histogram at b on the gray level axis and the lowest (or highest...

This is an approximation of the Voigt function within the Humlicek regions 3 and 4. The approximation is one given by S.M. Abrarov et. al. "High-accurace approximation of the complex probability function byFourier expansion of exponential multiplier" (2010).x = sqrt(ln(2))*(nu - nu0)/alphaDy =...

The MATLAB file contains a method to find the value of pi. This is just an extension of the general method of finding pi from within a circle. It uses 3D-matrices and some more stuffs, which can be very helpful for educational purposes. Also, do change the values in the file, to see for yourself,...


Platforms: Matlab

In this Matlab application was perused Jean Le Rand D'Alambert's** Reduction Method for two degree of linear differential equations and several analytical examples are compared with matlab solution applications.**Jean d'Alembert was a a French mathematician who was a pioneer in the study of...


Platforms: Matlab

Applying the inverse transform method to the normal distribution entails evaluation of the inverse normal. This is the Beasley-Springer-Moro algorithm for approximating the inverse normal.Input: u, a sacalar or matrix with elements between 0 and 1Output: x, an approximation for the inverse normal...


Platforms: Matlab

This method computes an accurate continuous approximation of the DW-MRI signal using adaptive kernels (A. Barmpoutis et al. "Adaptive kernels for multi-fiber reconstruction", In the Proceedings of IPMI, 2009). The approximation is based on Fig. 3 of the article which shows the plot of the DW-MRI...


Platforms: Matlab

This code uses conjugate gradient method to solve the linear systemAx= b, where A is symmetric and banded. A is first stored in acompactstorage mode, using the function "compactstorage", and thenconjugate gradient method is applied to the compactly stored matrix.Input: A, initial guess x, vector...


Platforms: Matlab

We present a Matlab toolbox which can solve basic problems related to the Total Least Squares (TLS) method in the modeling. By illustrative examples we show how to use the TLS method for solution of:- linear regression model- nonlinear regression model- fitting data in 3D space- identification of...


Platforms: Matlab

These files provide a fast implementation of the image-source model (ISM) for the simulation of room impulse responses (RIRs) in small-room acoustics. This implementation produces RIRs that are virtually identical to those obtained with the standard ISM, but the simulations are up to two orders...


Platforms: Matlab

For a given real-valued function of one real variable on an interval, the code calculates the best approximation in the uniform (max) norm by a polynomial of a given degree. Approximating in a uniform norm is much computationally harder compared to the standard least squares fit, but gives eye...


Platforms: Matlab

Fitting a t-copula using the method of moments described in Quantitative Risk Management by McNeil, Frey and Embrechts. The outputs from this function correspond to those of the statistics toolbox's copulafit('t',u) . For large datasets, tcopulafit is immeasurably faster than copulafit('t',u)....


Platforms: Matlab

This simple code shows how the Monte Carlo Chronological method works. This example is intended to be for educational purpose, generating an artificial history data vectors of a single component modeled in a two state Markov chain model and exponentially distributed. You just need to enter the...


Platforms: Matlab

COMPOSITE trapezoid Method for numerical calculations & analysis exercises in Numeric Integration. f function is given in terms of a symbolic variable x and as an inline function. E.g., f=inline('x^2+2*x-2'). Also, if the function f is trigenometric function, the 4th argument can be entered as...


Platforms: Matlab

COMPOSITE SIMPSON's method for numerical calculations and analysis exercises of Numeric Integration. f function is given in terms of a symbolic variable x and as aninline function. E.g., inline('x^2+2*x-2'). Also, if the function f is trigonometric function, the 4th argument can be entered...


Platforms: Matlab

COMPOSITE midpoint rule method. Some numerical calculations and analysis exercises of Numeric Integration for comparison analysis. f function is given in terms of a symbolic variable x and expressed as an inline function. E.g., f=inline('x^2+2*x-2'). Also, if the function f is trigonometric...


Platforms: Matlab

This code implements the 1D polynomial regression method. It uses the least square method for the finding of regression polynomial coefficents. Outputs of the script are polynomial regression coefficients, residuals, the sum of squared errors, the determination index and the graphical comparison...


Platforms: Matlab

Given assembeled mass, stiffness matrices and damping matrices, external load vector of n degree's of freedom, response of the system to the external load is calculated using Wilson tita step-by-step integration method. Time step, tita value can be changed accordingly to the problem.


Platforms: Matlab

Raible's Method Rev.02This script is used to compute the Raible table for any characteristics polynomial of f(Z) of any order (which saves alot of computing efforts.), accordingly the stability of discrete systems can be easily deduced, also helpful for testing and analysis of different discrete...


Platforms: Matlab

In FDTD method we are truncated the problem space.But in truncating we face the problem of reflection in its boundary.The absorbing boundary condition(ABC)but its quite difficult to make 2D ABC and make use in FDTD method. This problem is solved by PML.Suppose a wave propagating outward,it will...


Platforms: Matlab

This particular Direct Calculation Method is referenced from: J Hu "Radio Frequency Front-End Measurement and Modeling," Ph.D. dissertation, North Carolina State University, Raleigh NC, 2011.


Platforms: Matlab