What is the generic term for domain & range?

  • Context: Undergrad 
  • Thread starter Thread starter swampwiz
  • Start date Start date
  • Tags Tags
    Domain Range Term
Click For Summary
SUMMARY

The discussion centers on the terminology used to describe the collective variables in a system of equations, specifically distinguishing between input (domain) and output (range) variables. The terms "locus" and "solution set" are proposed as appropriate descriptors for all variables within any equation system, transcending the traditional input-output framework. This clarification is essential for understanding the broader context of mathematical functions and their applications in various fields.

PREREQUISITES
  • Understanding of basic mathematical functions and their components
  • Familiarity with the concepts of domain and range
  • Knowledge of implicit functions and their characteristics
  • Basic geometry concepts related to loci
NEXT STEPS
  • Research the concept of "solution sets" in different mathematical contexts
  • Explore the implications of implicit functions in advanced mathematics
  • Study the geometric interpretation of "locus" in various mathematical scenarios
  • Learn about the applications of domain and range in real-world functions
USEFUL FOR

Mathematicians, educators, students, and anyone interested in the foundational concepts of functions and their applications in various mathematical systems.

swampwiz
Messages
567
Reaction score
83
As I understand it, there are the terms:

domain - variables that are input to a function

range - the variable that is output to a function

This works well in a canonical single equation system like z = f( x , y ), but breaks down in an implicit function or set of equations. I was wondering what the proper term is for all the variables that exist in any system of equations - whether they happen to be input or output for any particular equation.
 
Mathematics news on Phys.org
Locus if we a talking about geometry. Otherwise "solution set" or something similar.
 

Similar threads

Undergrad Transformation of Functions: How Do Domain and Range Change?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Ambiguity of the term "indefinite integral"
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Plotting polar equations and scale invariance
  • · Replies 7 ·
Replies
7
Views
2K
High School Domain and range in ovals-what's this called?
  • · Replies 4 ·
Replies
4
Views
11K
MHB Math Notation: How to explicitly specify the domain of a function symbolically?
  • · Replies 11 ·
Replies
11
Views
12K
Determining the domain and range of multi-variable function
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What type is a polynomial function?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Alternating Harmonic Numbers are cool, spread the word!
  • · Replies 4 ·
Replies
4
Views
3K
Determine a transfer function in the `s` domain and the response to a ramp input
  • · Replies 23 ·
Replies
23
Views
6K
Undergrad Linear regression, feature scaling, and regression coefficients
  • · Replies 8 ·
Replies
8
Views
3K