Norm vs. Precept

Normnoun

That which is normal or typical.

Normnoun

A rule that is enforced by members of a community.

Normnoun

A sentence with non-descriptive meaning, such as a command, permission, or prohibition.

Normnoun

(mathematics) A function, generally denoted v\mapsto\left|v\right| or v\mapsto\left\|v\right\|, that maps vectors to non-negative scalars and has the following properties:

Normnoun

if v\ne0 then \left\|v\right\|\ne0;

Normnoun

given a scalar k, \left\|kv\right\|=\left|k\right|\cdot\left\|v\right\|, where \left|k\right| is the absolute value of k;

Normnoun

given two vectors v,w, \left\|v+w\right\|\le\left\|v\right\|+\left\|w\right\| (the triangle inequality).

Normnoun

(chess) A high level of performance in a chess tournament, several of which are required for a player to receive a title.

Normverb

(analysis) To endow (a vector space, etc) with a norm.

Normnoun

A rule or authoritative standard; a model; a type; as, deviations from the norm are not tolerated.

Normnoun

A typical, structural unit; a type.

Normnoun

a standard or model or pattern regarded as typical;

Normnoun

a statistic describing the location of a distribution;

Normnoun

something that is usual, typical, or standard

Normnoun

a standard or pattern, especially of social behaviour, that is typical or expected

Normnoun

a required standard; a level to be complied with or reached

Normnoun

the product of a complex number and its conjugate, equal to the sum of the squares of its real and imaginary components, or the positive square root of this sum.

Normnoun

an analogous quantity used to represent the magnitude of a vector.

Normverb

adjust (something) to conform to a norm.

Preceptnoun

A rule or principle, especially one governing personal conduct.

Preceptnoun

(legal) A written command, especially a demand for payment.

Preceptverb

(obsolete) To teach by precepts.

Preceptnoun

Any commandment, instruction, or order intended as an authoritative rule of action; esp., a command respecting moral conduct; an injunction; a rule.

Preceptnoun

A command in writing; a species of writ or process.

Preceptverb

To teach by precepts.

Preceptnoun

rule of personal conduct

Preceptnoun

a doctrine that is taught;

Preceptnoun

a general rule intended to regulate behaviour or thought

Preceptnoun

a writ or warrant

Preceptnoun

an order issued by one local authority to another specifying the rate of tax to be charged on its behalf

Preceptnoun

a rate or tax set by a precept.

Precept

A precept (from the Latin: præcipere, to teach) is a commandment, instruction, or order intended as an authoritative rule of action.