A technical definition is a definition in technical communication describing or explaining technical terminology. Technical definitions are used to introduce the vocabulary which makes communication in a particular field succinct and unambiguous. For example, the iliac crest from medical terminology is the top ridge of the hip bone (see).
There are three main types of technical definitions.[1]
Aniline, a benzene ring with an amine group, is a versatile chemical used in many organic syntheses.
The genus Helogale (dwarf mongooses) contains two species.
These definitions generally appear in three different places: within the text, in margin notes, or in a glossary. Regardless of position in the document, most sentence definitions follow the basic form of term, category, and distinguishing features.
A major scale is a diatonic scale which has the semitone interval pattern 2-2-1-2-2-2-1.
In mathematics, an abelian group is a group which is commutative.
When a term needs to be explained in great detail and precision, an extended definition is used. They can range in size from a few sentences to many pages. Shorter ones are usually found in the text, and lengthy definitions are placed in a glossary. Relatively complex concepts in mathematics require extended definitions in which mathematical objects are declared (e.g., let x be a real number...) and then restricted by conditions (often signaled by the phrase such that). These conditions often employ the universal and/or existential quantifiers (for all (
\forall
\exists
Note: In mathematical definitions, convention dictates the use of the word if between the term to be defined and the definition; however, definitions should be interpreted as though if and only if were used in place of if.
Definition of the limit of a single variable function:
Letbe a real-valued function of a real variable andf
,x
, anda
be real numbers. We say that the limit ofL
asf
approachesx
isa
(or,L
tends tof(x)
asL
approachesx
) and write if, for alla
, there exists\epsilon>0
such that whenever\delta>0
satisfiesx
, the inequality0<|x-a|<\delta
holds.|f(x)-L|<\epsilon