Norm vs. Expectation: Know the Difference

A pattern that is regarded as typical of something

The act of expecting.

A standard or expectation that is established for a given enterprise or effort

Eager anticipation

A pattern of behavior considered acceptable or proper by a social group

The state of being expected.

An average.

Something expected

The magnitude of a vector.

Expectations Prospects, especially of success or gain.

The modulus of a complex number.

The expected value of a random variable.

To establish or judge in reference to a norm

The mean of a random variable.

(Mathematics) To define a norm on (a space).

The act or state of expecting or looking forward to an event as about to happen.

That which is normal or typical.

That which is expected or looked for.

A rule that is imposed by regulations and/or socially enforced by members of a community.

The prospect of the future; grounds upon which something excellent is expected to occur; prospect of anything good to come, especially of property or rank.

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

The value of any chance (as the prospect of prize or property) which depends upon some contingent event.

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

(statistics) The first moment; the long-run average value of a variable over many independent repetitions of an experiment.

If $v\backslash ne0$ then $\backslash left\backslash |v\backslash right\backslash |\backslash ne0$;

(colloquial statistics) The arithmetic mean.

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

The leaving of a disease principally to the efforts of nature to effect a cure.

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

The act or state of expecting or looking forward to an event as about to happen.

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

That which is expected or looked for.

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

The prospect of the future; grounds upon which something excellent is expected to happen; prospect of anything good to come, esp. of property or rank.

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

The value of any chance (as the prospect of prize or property) which depends upon some contingent event. Expectations are computed for or against the occurrence of the event.

A typical, structural unit; a type.

The leaving of the disease principally to the efforts of nature to effect a cure.

A standard or model or pattern regarded as typical;

Belief about (or mental picture of) the future

A statistic describing the location of a distribution;

Wishing with confidence of fulfillment

The feeling that something is about to happen

The sum of the values of a random variable divided by the number of values