Multiple-Link Functions

Multiple-link functions are functions that have arguments grouped in more than one pair of brackets. They appear in expressions of the type . Definitions of multiple-link functions enable the classification of arguments as either parameters or variables.
Example 1. The identity
defines a double-link function, where is a two-parameter family of linear functions.
Example 2. A formula for rotating the vector around the axis given by the unit vector through the angle is , involving dot and cross products of vectors.
Example 3. The identity
defines the definite integral of a function from to which avoids using the bound (or dummy) variable .


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Mathematica has recently introduced the operator-form functions SortBy[f], MaximalBy[f], TakeLargestBy[f,n] and so on.
[1] S. Leśniewski, S. Leśniewski's Lecture Notes in Logic (J. Srzednicki and Z. Stachniak, eds.), Boston: Kluwer Academic, 1988 p. 31.
[2] S. Leśniewski, Stanisław Leśniewski, Collected Works (S. J. Surma, J. T. Srzednicki and D. I. Barnett, eds.), Boston: Kluwer Academic, 1992 p. 475
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+