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Technical definition

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From Wikipedia, the free encyclopedia
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  1. Technical definition

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 ).

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Contents
  • (Top)
  • Types of technical definitions
  • Sentence definitions
  • Extended definitions
  • References
  • Recent changes
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Contents
Contents6 sections
  • (Top)
  • Types of technical definitions
  • Examples
  • Sentence definitions
  • Examples
  • Extended definitions
  • Examples
  • References
  • Recent changes
  • Rabbit hole
Study aids for Technical definition

Terminology

if
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.
if and only if
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.
the
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.
limit
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.
of
Let f be a real-valued function of a real variable and x, a, and L be real numbers.
as
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.
approaches
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.
is
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.
tends to
We say that the limit of f as x approaches a is L (or, f(x) tends to L as x approaches a) and write \lim _{x\to a}f(x)=L if, for all \epsilon >0, there exists \delta >0 such that whenever x satisfies 0<|x-a|<\delta, the inequality |f(x)-L|<\epsilon holds.

Terms the article defines in bold, quoted in context.

Categories:
  • Technical communication

376 words · 1 references · revision 1243286972 · CC BY-SA 4.0

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Key concepts

  • Technical terminology1
  • Aniline1
  • Helogale1
  • Major scale1
  • Diatonic scale1
  • Semitone1
  • Abelian group1
  • Quantifier (logic)1
  • If and only if1

The articles this one links to most, weighted towards the introduction.

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Types of technical definitions

There are three main types of technical definitions.1

  1. Power definitions
  2. Secondary definitions
  3. Extended definitions

Examples

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.

Sentence definitions

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.

Examples

A major scale is a diatonic scale which has the semitone interval pattern 2-2-1-2-2-2-1.

  • term: major scale
  • category: diatonic scales
  • distinguishing features: semitone interval pattern 2-2-1-2-2-2-1

In mathematics, an abelian group is a group which is commutative.

  • term: abelian group
  • category: mathematical groups
  • distinguishing features: commutative

Extended definitions

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∀), there exists (∃\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.

Examples

Definition of the limit of a single variable function:

Let fff be a real-valued function of a real variable and xxx, , and be real numbers. We say that (or, ) and write if, for all , there exists such that whenever satisfies , the inequality holds.

References

  1. 1Johnson-Sheehan, R: Technical Communication Today, pages 507-522. Pearson Longman, 2007
aaa
LLL
the
limit
of
fff
as
xxx
approaches
aaa
is
LLL
f(x)f(x)f(x)
tends to
LLL
as
xxx
approaches
aaa
lim⁡x→af(x)=L\lim _{x\to a}f(x)=Llimx→a​f(x)=L
ϵ>0\epsilon >0ϵ>0
δ>0\delta >0δ>0
xxx
0<∣x−a∣<δ0<|x-a|<\delta0<∣x−a∣<δ
∣f(x)−L∣<ϵ|f(x)-L|<\epsilon∣f(x)−L∣<ϵ
Created
13 Apr 2008
History
72 edits
44 contributors
No edits in the last 30 days
Last edited
31 Aug 2024

72 revisions in total · 44 contributors

  1. 31 Aug 2024, 16:28 UTCDiscospinstermReverted edits by Jweighed1 (talk) (HG) (3.4.12)−136diff
  2. 31 Aug 2024, 16:27 UTCJweighed1reverted§ Types of technical definitions citation+47diff
  3. 31 Aug 2024, 16:24 UTCJweighed1mreverted§ Types of technical definitions scales route+89diff
  4. 26 Feb 2024, 23:42 UTCAnonymous contributorNo edit summary−26diff
  5. 17 May 2023, 14:57 UTCAnonymous contributor§ Sentence definitions Fixed something−1diff
  6. 25 Jan 2023, 07:23 UTCAnonymous contributorreverted§ Sentence definitions+1diff
  7. 18 Feb 2022, 11:45 UTCFloyd23#suggestededit-add 1.0+59diff
  8. 8 Feb 2022, 10:28 UTCEm-mustaphamReverted edits by 49.36.220.115 (talk) to last version by Macrakis−7diff

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Created
13 Apr 2008
History
72 edits
44 contributors
No edits in the last 30 days
Last edited
31 Aug 2024

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