Higher dimension in mathematics refers to any number of dimensions greater than three. The three standard dimensions are length, width, and breadth (or height). The first higher dimension is often time, and space-time is the most common example of a four-dimensional space. In abstract mathematics, however, any independent variable represents a dimension, (in a vector space, vector in a set of linearly independent vectors), and so there are higher dimensional spaces for any number larger than three. In fractal geometry, there can even be fractional dimensions. And in Hilbert space there are infinitely many dimensions. Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations by or about: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... Dimension (from Latin measured out) is, in essence, the number of degrees of freedom available for movement in a space. ... In general English usage, length (symbols: l, L) is but one particular instance of distance – an objects length is how long the object is – but in the physical sciences and engineering, the word length is in some contexts used synonymously with distance. Height is vertical distance; width (or breadth... In general English usage, length (symbol: l) is but one particular instance of distance – an objects length is how long the object is – but in the physical sciences and engineering, the word length is in some contexts used synonymously with distance. Height is vertical distance; width (or breadth) is... In general English usage, length (symbols: l, L) is but one particular instance of distance – an objects length is how long the object is – but in the physical sciences and engineering, the word length is in some contexts used synonymously with distance. Height is vertical distance; width (or breadth... Height is a measurement of the distance from the bottom to the top of something which is upright. ... 8:17 am, August 6, 1945, Japanese time. ... In special relativity and general relativity, time and three-dimensional space are treated together as a single four-dimensional pseudo-Riemannian manifold called spacetime. ... Dimension (from Latin measured out) is, in essence, the number of degrees of freedom available for movement in a space. ... Attempting to understand the nature of space has always been a prime occupation for philosophers and scientists. ... Abstract mathematics, sometimes called pure mathematics, refers to mathematics qua mathematics, as contrasted to applied mathematics. ... A vector space (or linear space) is the basic object of study in the branch of mathematics called linear algebra. ... VECTOR is the name of a Human Capital Management tool from the UK company Vector Management Systems. ... In linear algebra, a set of elements of a vector space is linearly independent if none of the vectors in the set can be written as a linear combination of finitely many other vectors in the set. ... A fractal is a geometric object which can be divided into parts, each of which is similar to the original object. ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ...

See also

• Multiverse
• Planes of existence