Norm vs. Expectation — What's the Difference?

Something that is usual, typical, or standard

The act of expecting.

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.

Eager anticipation

Adjust (something) to conform to a norm.

The state of being expected.

A pattern that is regarded as typical of something

Something expected

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

Expectations Prospects, especially of success or gain.

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

The expected value of a random variable.

An average.

The mean of a random variable.

The magnitude of a vector.

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

The modulus of a complex number.

That which is expected or looked for.

To establish or judge in reference to a norm

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.

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

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

That which is normal or typical.

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

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

(colloquial statistics) The arithmetic mean.

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

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

(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

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

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

That which is expected or looked for.

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

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 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.

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

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

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

Belief about (or mental picture of) the future

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

Wishing with confidence of fulfillment

A typical, structural unit; a type.

The feeling that something is about to happen

A standard or model or pattern regarded as typical;

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

A statistic describing the location of a distribution;