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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. [1] [2] 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.
Dimensional analysis. In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons ...
The definition of a tensor as a multidimensional array satisfying a transformation law traces back to the work of Ricci. [1] An equivalent definition of a tensor uses the representations of the general linear group. There is an action of the general linear group on the set of all ordered bases of an n-dimensional vector space.
Field (physics) Illustration of the electric field surrounding a positive (red) and a negative (blue) charge. In science, a field is a physical quantity, represented by a scalar, vector, or tensor, that has a value for each point in space and time. [ 1][ 2][ 3] A weather map, with the surface temperature described by assigning a number to each ...
The Klein bottle immersed in three-dimensional space. The surface of the Earth requires (at least) two charts to include every point. Here the globe is decomposed into charts around the North and South Poles. In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
International System of Quantities. The International System of Quantities ( ISQ) is a standard system of quantities used in physics and in modern science in general. It includes basic quantities such as length and mass and the relationships between those quantities. [ a] This system underlies the International System of Units (SI) [ b] but ...
Space. Space is a three-dimensional continuum containing positions and directions. [1] In classical physics, physical space is often conceived in three linear dimensions. Modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. [2]
In physics, time is defined by its measurement: time is what a clock reads. [ 1] In classical, non-relativistic physics, it is a scalar quantity (often denoted by the symbol ) and, like length, mass, and charge, is usually described as a fundamental quantity.