Mathematics

Relativistic Motion and Space Voyage Calculators in PHP Free Source Code

PHP - Relativistic Motion Calculators There are three relativistic motion calculators in the archive. The graphics show the math used by the programs. Relativistic Motion Type 1 An extremely advanced space probe is about to accelerate to a target distance of (D) light-years from Earth at a constant acceleration G-Factor (G). The space probe or spacecraft is not expected to ever return and will

GPS Ellipsoid 3D Rectangular XYZ-Coordinates Calculator using PHP Free Source Code

GPS Ellipsoid 3D Rectangular XYZ-Coordinates Calculator This program computes the 3D rectangular XYZ coordinates corresponding to any given latitude and longitude coordinates and elevation point, in meters, on the GRS-80/WGS-84/GPS ellipsoid model. The program performs all the calculus for you. The graphic above shows the math used in the program. Here is a working copy of the program: http:/

Creating an Arbitrary-precision Nth Root of X Function in PHP

This math utility function computes the real Nth root of X to any specified number of decimals. Above is the iteration equation evaluated by the function. It comes in handy for advanced scientific programming. The archive contains a demo program. The demo code below, should return: 5 root of 100 to 50 decimals =2.51188643150958011108503206779932739415851810078248 Here is a listing of the demo

Integer Base (radix) Inter-converter in PHP with Source Code

Integer Base (radix) Interconverter This PHP Internet program converts any integer (±X) From any One Base (radix) System Into Another. The base can be any value from 2 to 36. For example, the base 23 integer 3AJCM53KDBC22F07GLIJB3EF10L74ECFM26KEJ4LFLLG78C equates to the base 10 integer 1513668569755468804508866185074877811548774513443261275725578557 or the base 16 integer

Variance and Standard Deviation Calculator in PHP with Source Code

Variance and Standard Deviation Calculator Given a numerical data table, this program computes both the population and sample variance and the standard deviation within the given data table. Here is a copy of the working program on my site. http://neoprogrammics.com/!abc/math-science-tools/variance-and-standard-deviation-calculator/ I have provided the source code on this site. You can download it

PHP Ellipse Circumference Function - Numerical Solution to the Complete Elliptic Integral of the second kind

PHP Ellipse Circumference Function This PHP function computes the circumference or perimeter of an ellipse, spheroid, circle, or sphere by evaluating the complete elliptic integral of the second kind using an infinite power series summation based on Legendre polynomials. Computing the circumference of a circle is easy, but when it takes the form of an ellipse, there is no simple formula and the

Operations Research: Least Cost Rule Solver

This application, written in C++ is a console application for solving transportation problem in operations research. The app accepts unlimited rows and columns and add domin where necessary and determines if a problem is a non-degenerated problem by appropriate allocation and optimisation. The complete source code is uploaded to assist students and researchers in their various endeavours. You are