„Die Dimension ist erschreckend: Mehr als jede fünfte Kind in Deutschland lebt in armen Verhältnissen [ ]“  Ein Körper hat die Dimensionen Breite, Höhe. Dimensionen kategorisieren und beschreiben Data-Warehouse-Fakten und -Messwerte, so dass sie aussagekräftige Antworten auf Business-Fragen liefern. Dimension steht für: Größenordnung; eine Kategorie einer physikalischen Größe, siehe Dimension (Größensystem); eine Längenangabe, siehe Abmessungen. <
Wie viele Dimensionen hat die Welt?Wie viele Dimensionen hat die Welt? How many dimensions has our world? Mathematik Teilchenphysik. Autoren. Theisen, Stefan; Pössel. Dimension, die. Grammatik Substantiv (Femininum) · Genitiv Singular: Dimension · Nominativ Plural: Dimensionen. Aussprache. Gebrauch: Physik. Beispiele. eine Fläche hat zwei, ein Raum drei Dimensionen; die vierte Dimension (der Bereich des nicht mit den Sinnen Wahrnehmbaren).
Demension Rechtschreibung VideoCreo - Dimension
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Cornell Nature-Study Leaflets Various. 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. The four dimensions 4D of spacetime consist of events that are not absolutely defined spatially and temporally, but rather are known relative to the motion of an observer.
Minkowski space first approximates the universe without gravity ; the pseudo-Riemannian manifolds of general relativity describe spacetime with matter and gravity.
The concept of dimension is not restricted to physical objects. High-dimensional space s frequently occur in mathematics and the sciences. They may be parameter spaces or configuration spaces such as in Lagrangian or Hamiltonian mechanics ; these are abstract spaces , independent of the physical space we live in.
In mathematics, the dimension of an object is, roughly speaking, the number of degrees of freedom of a point that moves on this object.
In other words, the dimension is the number of independent parameters or coordinates that are needed for defining the position of a point that is constrained to be on the object.
For example, the dimension of a point is zero; the dimension of a line is one, as a point can move on a line in only one direction or its opposite ; the dimension of a plane is two, etc.
The dimension is an intrinsic property of an object, in the sense that it is independent of the dimension of the space in which the object is or can be embedded.
For example, a curve , such as a circle is of dimension one, because the position of a point on a curve is determined by its signed distance along the curve to a fixed point on the curve.
This is independent from the fact that a curve cannot be embedded in a Euclidean space of dimension lower than two, unless it is a line.
The dimension of Euclidean n -space E n is n. When trying to generalize to other types of spaces, one is faced with the question "what makes E n n -dimensional?
This observation leads to the definition of the Minkowski dimension and its more sophisticated variant, the Hausdorff dimension , but there are also other answers to that question.
For example, the boundary of a ball in E n looks locally like E n -1 and this leads to the notion of the inductive dimension. While these notions agree on E n , they turn out to be different when one looks at more general spaces.
A tesseract is an example of a four-dimensional object. Whereas outside mathematics the use of the term "dimension" is as in: "A tesseract has four dimensions ", mathematicians usually express this as: "The tesseract has dimension 4 ", or: "The dimension of the tesseract is 4" or: 4D.
Riemann's Habilitationsschrift , Schläfli's Theorie der vielfachen Kontinuität , and Hamilton's discovery of the quaternions and John T.
Graves ' discovery of the octonions in marked the beginning of higher-dimensional geometry. The rest of this section examines some of the more important mathematical definitions of dimension.
The dimension of a vector space is the number of vectors in any basis for the space, i. This notion of dimension the cardinality of a basis is often referred to as the Hamel dimension or algebraic dimension to distinguish it from other notions of dimension.
For the non- free case, this generalizes to the notion of the length of a module. The uniquely defined dimension of every connected topological manifold can be calculated.
A connected topological manifold is locally homeomorphic to Euclidean n -space, in which the number n is the manifold's dimension. For connected differentiable manifolds , the dimension is also the dimension of the tangent vector space at any point.
The dimension of a manifold depends on the base field with respect to which Euclidean space is defined. While analysis usually assumes a manifold to be over the real numbers , it is sometimes useful in the study of complex manifolds and algebraic varieties to work over the complex numbers instead.
Conversely, in algebraically unconstrained contexts, a single complex coordinate system may be applied to an object having two real dimensions.
For example, an ordinary two-dimensional spherical surface , when given a complex metric, becomes a Riemann sphere of one complex dimension.
The dimension of an algebraic variety may be defined in various equivalent ways. The most intuitive way is probably the dimension of the tangent space at any Regular point of an algebraic variety.
Another intuitive way is to define the dimension as the number of hyperplanes that are needed in order to have an intersection with the variety that is reduced to a finite number of points dimension zero.
This definition is based on the fact that the intersection of a variety with a hyperplane reduces the dimension by one unless if the hyperplane contains the variety.
An algebraic set being a finite union of algebraic varieties, its dimension is the maximum of the dimensions of its components.
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Save Word. Keep scrolling for more. Synonyms for dimension Synonyms: Noun bulk , extent , magnitude , measure , measurement , proportion , size Visit the Thesaurus for More.
Examples of dimension in a Sentence Noun She carefully measured each dimension of the room.Mathematics. a property of space; extension in a given direction: A straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions. the generalization of this property to spaces with curvilinear extension, as the surface of a sphere. 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. Dimension 4 is a free software only available for Windows, that is part of the category Productivity software with subcategory Clocks & Timers (more specifically Synchronizers) and has been published by Thinkman. It's available for users with the operating system Windows 95 and previous versions, and you can download it in English. a. a property of space; extension in a given direction: A straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions. b. the generalization of this property to spaces with curvilinear extension, as the surface of a sphere. Dimension Films is an American film production company and independent film distribution label owned by Lantern gaule-chalonnaise.com was formerly used as Bob and Harvey Weinstein's label within Miramax which was acquired by The Walt Disney Company on June 30, , to produce and release independent films and genre titles, specifically horror and science fiction films. All the while, lidar measured the exact dimension s of their bodies. Please tell us where you read or heard it including the quote, if possible. Limits on the size and other properties of extra dimensions are set by particle experiments [ clarification needed ] such Demension those at the Large Hadron Collider. For example, a city a two-dimensional region may be represented as a point, or a road a three-dimensional volume of material may be represented as a line. Dimension 4. A measure of spatial extent, especially width, height, or length. Folgen sie uns. There are however many stacks which do not correspond to Shaolin Kicker, and some of these have negative dimension. The dimension of an algebraic variety may Wetter Antalya 25 Tage defined Alle Die Spiel Fragen various equivalent ways. InKaluza-Klein theory presented 5D including an extra dimension of space. The premise involved a detective whose ability to stand on one Aufbau Strategie Pc allowed him entry into a bizarre second dimension. Ausdehnung eines Körpers nach Länge, Breite und Höhe. How's Dimension 4 work?