OpenPlaG
Encyclopedia
openPlaG is a PHP based function graph plotter for the use on websites. It was first released in April 2006. In June 2007 its source code was published under the GNU GPL license. PlaG is an abbreviation for Plot a Graph.
The current version 3.0 of openPlaG allows the display of up to three function graphs
, their derivative
and their integral
. It can compute several different functions with a focus on a large function variety and on probability functions
. Settings for a graph can be saved and loaded. A substitution for a user-defined formula can be used. It has an instruction page, which explains the use of the plotter and the function syntax.
About 180 functions are predefined. These belong to the categories basic functions, trigonometric
and hyperbolic function
s, non-differentiable functions, probability functions, special functions, programmable functions, iteration
s and fractal
s, differential and integral equations.
The current version 3.0 of openPlaG allows the display of up to three function graphs
Graph of a function
In mathematics, the graph of a function f is the collection of all ordered pairs . In particular, if x is a real number, graph means the graphical representation of this collection, in the form of a curve on a Cartesian plane, together with Cartesian axes, etc. Graphing on a Cartesian plane is...
, their derivative
Derivative
In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a...
and their integral
Integral
Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus...
. It can compute several different functions with a focus on a large function variety and on probability functions
Probability distribution
In probability theory, a probability mass, probability density, or probability distribution is a function that describes the probability of a random variable taking certain values....
. Settings for a graph can be saved and loaded. A substitution for a user-defined formula can be used. It has an instruction page, which explains the use of the plotter and the function syntax.
About 180 functions are predefined. These belong to the categories basic functions, trigonometric
Trigonometric function
In mathematics, the trigonometric functions are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle...
and hyperbolic function
Hyperbolic function
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. The basic hyperbolic functions are the hyperbolic sine "sinh" , and the hyperbolic cosine "cosh" , from which are derived the hyperbolic tangent "tanh" and so on.Just as the points form a...
s, non-differentiable functions, probability functions, special functions, programmable functions, iteration
Iteration
Iteration means the act of repeating a process usually with the aim of approaching a desired goal or target or result. Each repetition of the process is also called an "iteration," and the results of one iteration are used as the starting point for the next iteration.-Mathematics:Iteration in...
s and fractal
Fractal
A fractal has been defined as "a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole," a property called self-similarity...
s, differential and integral equations.