Basis vs. Dimension
Basisnoun
A physical base or foundation.
Basisnoun
A starting point, base or foundation for an argument or hypothesis.
Basisnoun
An underlying condition or circumstance.
Basisnoun
A regular frequency.
Basisnoun
(linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.
Basisnoun
(accounting) Amount paid for an investment, including commissions and other expenses.
Basisnoun
(topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.
Basisnoun
The foundation of anything; that on which a thing rests.
Basisnoun
The pedestal of a column, pillar, or statue.
Basisnoun
The groundwork; the first or fundamental principle; that which supports.
Basisnoun
The principal component part of a thing.
Basisnoun
a relation that provides the foundation for something;
Basisnoun
the fundamental assumptions from which something is begun or developed or calculated or explained;
Basisnoun
the most important or necessary part of something;
Dimensionnoun
A single aspect of a given thing.
Dimensionnoun
A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
Dimensionnoun
A construct whereby objects or individuals can be distinguished.
Dimensionnoun
(geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
Dimensionnoun
(linear algebra) The number of elements of any basis of a vector space.
Dimensionnoun
(physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
Dimensionnoun
(computing) Any of the independent ranges of indices in a multidimensional array.
Dimensionnoun
An alternative universe or plane of existence.
Dimensionverb
(transitive) To mark, cut or shape something to specified dimensions.
Dimensionnoun
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.
Dimensionnoun
Extent; reach; scope; importance; as, a project of large dimensions.
Dimensionnoun
The degree of manifoldness of a quantity; as, time is quantity having one dimension; volume has three dimensions, relative to extension.
Dimensionnoun
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.
Dimensionnoun
The manifoldness with which the fundamental units of time, length, and mass are involved in determining the units of other physical quantities.
Dimensionnoun
the magnitude of something in a particular direction (especially length or width or height)
Dimensionnoun
a construct whereby objects or individuals can be distinguished;
Dimensionnoun
one of three cartesian coordinates that determine a position in space
Dimensionnoun
magnitude or extent;
Dimensionverb
indicate the dimensions on;
Dimensionverb
shape or form to required dimensions
Dimensionnoun
a measurable extent of a particular kind, such as length, breadth, depth, or height
Dimensionnoun
a mode of linear extension of which there are three in space and two on a flat surface, which corresponds to one of a set of coordinates specifying the position of a point.
Dimensionnoun
an expression for a derived physical quantity in terms of fundamental quantities such as mass, length, or time, raised to the appropriate power (acceleration, for example, having the dimension of length × time⁻²).
Dimensionnoun
an aspect or feature of a situation
Dimensionverb
cut or shape (something) to particular measurements.
Dimensionverb
mark (a diagram) with measurements.
Dimension
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.
