Dimensionen kategorisieren und beschreiben Data-Warehouse-Fakten und -Messwerte, so dass sie aussagekräftige Antworten auf Business-Fragen liefern. Beispiele of dimension. dimension. Can we assess the role of dialect differences relative to other dimensions of situated discourse? From the. Gebrauch: Physik. Beispiele. eine Fläche hat zwei, ein Raum drei Dimensionen; die vierte Dimension (der Bereich des nicht mit den Sinnen Wahrnehmbaren).
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Once Dimension 4 is installed, you'll most likely forget that it's even running. Derived forms of dimension dimensional , adjective dimensionality , noun dimensionally , adverb dimensionless , adjective.
A measure of spatial extent, especially width, height, or length. Scope or magnitude. Published by Houghton Mifflin Company. Any one of the three physical or spatial properties of length, area, and volume.
In geometry, a point is said to have zero dimension; a figure having only length, such as a line, has one dimension; a plane or surface, two dimensions; and a figure having volume, three dimensions.
In general, there exist more definitions of fractal dimensions that work for highly irregular sets and attain non-integer positive real values.
Fractals have been found useful to describe many natural objects and phenomena. Every Hilbert space admits an orthonormal basis , and any two such bases for a particular space have the same cardinality.
This cardinality is called the dimension of the Hilbert space. This dimension is finite if and only if the space's Hamel dimension is finite, and in this case the two dimensions coincide.
Movement in any other direction can be expressed in terms of just these three. Moving down is the same as moving up a negative distance.
Moving diagonally upward and forward is just as the name of the direction implies; i. In its simplest form: a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions.
See Space and Cartesian coordinate system. A temporal dimension , or time dimension , is a dimension of time.
Time is often referred to as the " fourth dimension " for this reason, but that is not to imply that it is a spatial dimension.
A temporal dimension is one way to measure physical change. It is perceived differently from the three spatial dimensions in that there is only one of it, and that we cannot move freely in time but subjectively move in one direction.
The equations used in physics to model reality do not treat time in the same way that humans commonly perceive it.
The equations of classical mechanics are symmetric with respect to time , and equations of quantum mechanics are typically symmetric if both time and other quantities such as charge and parity are reversed.
In these models, the perception of time flowing in one direction is an artifact of the laws of thermodynamics we perceive time as flowing in the direction of increasing entropy.
In physics, three dimensions of space and one of time is the accepted norm. Most notably, superstring theory requires 10 spacetime dimensions , and originates from a more fundamental dimensional theory tentatively called M-theory which subsumes five previously distinct superstring theories.
To date, no direct experimental or observational evidence is available to support the existence of these extra dimensions. If hyperspace exists, it must be hidden from us by some physical mechanism.
One well-studied possibility is that the extra dimensions may be "curled up" at such tiny scales as to be effectively invisible to current experiments.
Limits on the size and other properties of extra dimensions are set by particle experiments [ clarification needed ] such as those at the Large Hadron Collider.
In , Kaluza-Klein theory presented 5D including an extra dimension of space. At the level of quantum field theory , Kaluza—Klein theory unifies gravity with gauge interactions, based on the realization that gravity propagating in small, compact extra dimensions is equivalent to gauge interactions at long distances.
In particular when the geometry of the extra dimensions is trivial, it reproduces electromagnetism. However at sufficiently high energies or short distances, this setup still suffers from the same pathologies that famously obstruct direct attempts to describe quantum gravity.
Therefore, these models still require a UV completion , of the kind that string theory is intended to provide.
In particular, superstring theory requires six compact dimensions 6D hyperspace forming a Calabi—Yau manifold. Thus Kaluza-Klein theory may be considered either as an incomplete description on its own, or as a subset of string theory model building.
Thus the extra dimensions need not be small and compact but may be large extra dimensions. D-branes are dynamical extended objects of various dimensionalities predicted by string theory that could play this role.
They have the property that open string excitations, which are associated with gauge interactions, are confined to the brane by their endpoints, whereas the closed strings that mediate the gravitational interaction are free to propagate into the whole spacetime, or "the bulk".
This could be related to why gravity is exponentially weaker than the other forces, as it effectively dilutes itself as it propagates into a higher-dimensional volume.
Some aspects of brane physics have been applied to cosmology. For example, brane gas cosmology   attempts to explain why there are three dimensions of space using topological and thermodynamic considerations.