Dimension vs. Amplitude — What's the Difference?

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.

The amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). There are various definitions of amplitude (see below), which are all functions of the magnitude of the differences between the variable's extreme values.

A measurable extent of a particular kind, such as length, breadth, depth, or height

Greatness of size; magnitude.

An aspect or feature of a situation

Fullness; copiousness.

Cut or shape (something) to particular measurements.

Breadth or range, as of intelligence.

A measure of spatial extent, especially width, height, or length.

(Astronomy) The angular distance along the horizon from true east or west to the intersection of the vertical circle of a celestial body with the horizon.

Often dimensions Extent or magnitude; scope

(Physics) The maximum absolute value of a periodically varying quantity.

Aspect; element

The maximum absolute value of a periodic curve measured along its vertical axis.

The least number of independent coordinates required to specify uniquely the points in a space.

The angle made with the positive horizontal axis by the vector representation of a complex number.

The range of such a coordinate.

(Electronics) The maximum absolute value reached by a voltage or current waveform.

(Physics) A physical property, such as mass, distance, time, or a combination thereof, regarded as a fundamental measure of a physical quantity

The measure of something's size, especially in terms of width or breadth; largeness, magnitude.

A realm of existence, as in a work of fiction, that is physically separate from another such realm

(mathematics) The maximum absolute value of the vertical component of a curve or function, especially one that is periodic.

To cut or shape to specified dimensions.

(physics) The maximum absolute value of some quantity that varies.

To mark with specified dimensions.

(astronomy) The arc of the horizon between the true east or west point and the center of the sun, or a star, at its rising or setting. At the rising, the amplitude is eastern or ortive: at the setting, it is western, occiduous, or occasive. It is also northern or southern, when north or south of the equator.

A single aspect of a given thing.

(astronomy) The arc of the horizon between the true east or west point and the foot of the vertical circle passing through any star or object.

A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.

(firearms) The horizontal line which measures the distance to which a projectile is thrown; the range.

A construct whereby objects or individuals can be distinguished.

State of being ample; extent of surface or space; largeness of dimensions; size.

(geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.

Largeness, in a figurative sense; breadth; abundance; fullness.

(linear algebra) The number of elements of any basis of a vector space.

The arc of the horizon between the true east or west point and the center of the sun, or a star, at its rising or setting. At the rising, the amplitude is eastern or ortive: at the setting, it is western, occiduous, or occasive. It is also northern or southern, when north or south of the equator.

(physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.

The horizontal line which measures the distance to which a projectile is thrown; the range.

(computing) Any of the independent ranges of indices in a multidimensional array.

The extent of a movement measured from the starting point or position of equilibrium; - applied especially to vibratory movements.

A universe or plane of existence.

An angle upon which the value of some function depends; - a term used more especially in connection with elliptic functions.

(transitive) To mark, cut or shape something to specified dimensions.

(physics) the maximum displacement of a periodic wave

To specify the size of (an array or similar data structure); to allocate.

The property of copious abundance

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Greatness of magnitude

Measure in a single line, as length, breadth, height, thickness, or circumference; extension; measurement; - usually, in the plural, measure in length and breadth, or in length, breadth, and thickness; extent; size; as, the dimensions of a room, or of a ship; the dimensions of a farm, of a kingdom.

Extent; reach; scope; importance; as, a project of large dimensions.

The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension.

A literal factor, as numbered in characterizing a term. The term dimensions forms with the cardinal numbers a phrase equivalent to degree with the ordinal; thus, a2b2c is a term of five dimensions, or of the fifth degree.

The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities.

The magnitude of something in a particular direction (especially length or width or height)

A construct whereby objects or individuals can be distinguished;

One of three cartesian coordinates that determine a position in space

Magnitude or extent;

Indicate the dimensions on;

Shape or form to required dimensions