LinearModelFit (Built-in Mathematica Symbol)

LinearModelFit[{y_1, y_2, ...}, {f_1, f_2, ...}, x] constructs a linear model of the form \[Beta]_0 + \[Beta]_1 f_1 + \[Beta]_2 f_2 + ... that fits the y_i for successive x ...

FittedModel (Built-in Mathematica Symbol)

FittedModel[...] represents the symbolic fitted model obtained from functions like LinearModelFit.

BinaryRead (Built-in Mathematica Symbol)

BinaryRead[stream] reads one byte of raw binary data from an input stream, and returns an integer from 0 to 255. BinaryRead[stream, type] reads an object of the specified ...

Statistical Model Analysis (Mathematica Tutorial)

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

Bessel-Related Functions (Mathematica Guide)

Using original algorithms developed at Wolfram Research, Mathematica has full coverage of all standard Bessel-related functions—evaluating every function to arbitrary ...

Streams and Low-Level Input and Output (Mathematica Tutorial)

Files and pipes are both examples of general Mathematica objects known as streams. A stream in Mathematica is a source of input or output. There are many operations that you ...

DiscreteShift (Built-in Mathematica Symbol)

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

DifferenceDelta (Built-in Mathematica Symbol)

DifferenceDelta[f, i] gives the discrete difference \[DifferenceDelta]_i f = f(i + 1) - f(i).DifferenceDelta[f, {i, n}] gives the multiple difference DifferenceDelta[f, {i, ...

DiscreteRatio (Built-in Mathematica Symbol)

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

Special Functions (Mathematica Guide)

Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...