The SlugMath Wiki is under heavy development!

# Linear progression

### From SlugmathWiki

Word | Linear progression |
---|---|

Lexical Category | noun |

The following pages define the word Linear progression:

## About Words and Definitions

There are (at least!) two practical problems, in organizing a lexicon of mathematical words. One is the problem of **disambiguation**, and the other is a problem of **perspective**.

An example of disambiguation is given by the mathematical noun "domain". When talking about functions, one refers to the "domain of a function". When talking about commutative rings, one refers to a "domain", i.e., an "integral domain". These are completely different meanings for the same word. In such cases, there are two pages in the Lexicon -- one for each meaning.

The problem of perspective is that one word, like "continuous" has various but mathematically compatible meanings, in different contexts. For a student of topology, continuity often refers to the fact that the preimage of an open set is open. For a student of calculus, continuity often refers to an "epsilon-delta" definition. These definitions are certainly compatible, but different definitions should be given for different audiences. In such situations, only one word is listed in the Lexicon, but many pages may define the word.