Linear Fn
Linear Fn is a direct subtype of Real To Real Function
aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa aaaaaaaa
TYPE INCLUSION RELATIONSHIPS
AVAILABLE FUNCTIONS
AVAILABLE CREATE FUNCTION KEYS
TYPICAL OBJECTS OF TYPE Linear Fn
This type represents a function ƒ that maps u real variable numbers x₁, x₂, ..., xᵤ to one number, as folows:
ƒ(x₁,x₂,...,xᵤ) = m₁x₁ + m₂x₂ + ... + mᵤxᵤ + c
where m₁, m₂, ..., mᵤ and c are given fixed constants specfied through the keys Slope and Intercept respectively.
For simplicity, it is assumed in the description here the regular case whereby all input variables x₁, x₂, ..., xᵤ are processed in the given order by the function, but it is possible to process only a selected subset of this variables and/or under a different order through the use of the optional key Input Variables
If the number of input variables exceeds the number of coefficients u, the function processes only the first u variables and ignores the rest.
In its basic form and in the case of one input variable x₁, the chart of the output of the function Linear Fn against x₁ is a straight line, as the line A in the diagram below, where the horizontal axis holds the values from 0 to 10 for the input variable x₁
It is possible though to set up the function's parameters in such a way that more interesting charts arise, such as the the line B or the line C.
