dimension definition: 1. a measurement of something in a particular direction, especially its height, length, or width…. Learn more.
Define dimension. dimension synonyms, dimension pronunciation, dimension translation, English dictionary definition of dimension. n. 1. A measure of spatial extent, especially width, height, or length. 2. often dimensions Extent or magnitude; scope: a problem of alarming dimensions.
Transport Sports Digital Pop Culture. Dimensions.com. Dimensions.com is an ongoing reference database of dimensioned drawings documenting the standard measurements and sizes of the everyday objects and spaces that make up our world. Created as a universal resource to better communicate the basic properties, systems, and logics of our built ...
19 synonyms of dimension from the Merriam-Webster Thesaurus, plus 47 related words, definitions, and antonyms. Find another word for dimension. Dimension: the total amount of measurable space or surface occupied by something.
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These weapons add a new dimension to modern warfare. Intuitively, this can be described as follows: if the original space can be continuously deformed into a collection of higher-dimensional triangles joined at their faces with a complicated surface, then the dimension of the object is the dimension of those triangles. Share dimension Post more words for dimension to Facebook Share more words for dimension on Twitter. The dimension of Euclidean n -space E n is n. Too Good to be True". Need even more definitions? How to use dimension in a sentence Almost every dimension of inequity has been accentuated here. Wikimedia Commons has media related to Dimensions. Nuclear Physics B. If hyperspace exists, it must be hidden from us by some physical mechanism. The awkward case of 'his or her'. Time is not however present in a single point of absolute infinite singularity as defined as a geometric point , as an infinitely small point can have no change and therefore no time. No sane human being would search through all the dimensions of the model blindly hoping to find some optimal sound! Science fiction texts often mention the concept of "dimension" when referring to parallel or alternate universes or other imagined planes of existence. Dimension lines and centre lines are best put in of different colour. Translations of dimension in Chinese Traditional. 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. Compare dimensional analysis. A temporal dimension is one way to measure physical change. Keep scrolling for more. The dimensions of the box are 20 cm by 10 cm by 4 cm. Mathematics maths the number of coordinates required to locate a point in space. Nevertheless, after mature consideration, it has appeared to me that the question of the projectile must take precedence of that of the cannon, and that the dimensions of the latter must necessarily depend on those of the former. There needs to be a fully thought out strategy with a political dimension that involves the opposition. Need even more definitions? A control of order -1 has the opposite behaviour: a direct relationship between rate of change of the control's value and the dimension's value. Moreover, the boundary of a discrete set of points is the empty set, and therefore the empty set can be taken to have dimension Physics Engineering. United States. A realm of existence, as in a work of fiction, that is physically separate from another such realm: "Although it tells a grounded, political story free from aliens and alternate dimensions, the film remains packed to the brim with iconic Just as when an object moves through positions in space, it also moves through positions in time. Another reference is Madeleine L'Engle 's novel A Wrinkle In Time , which uses the fifth dimension as a way for "tesseracting the universe" or "folding" space in order to move across it quickly. This article is about the dimension of a space. One other dimension of e-commerce readiness is integration between information systems. There are however many stacks which do not correspond to varieties, and some of these have negative dimension. In both cases these dimensions do not include the thickness of the cyst wall. Kids Definition of dimension. Authority control. Medical Definition of dimension. For example, brane gas cosmology   attempts to explain why there are three dimensions of space using topological and thermodynamic considerations. This proposition cannot at all be shown from concepts, but rests immediately on intuition and indeed on pure intuition a priori because it is apodictically demonstrably certain. For X a manifold, this coincides with the dimension mentioned above. Therefore, these models still require a UV completion , of the kind that string theory is intended to provide. Please help improve this article by adding citations to reliable sources. Britannica English: Translation of dimension for Arabic Speakers. See more words from the same century. Two parallel line segments can be connected to form a square. Maximum number of independent directions within a mathematical space. Bibcode : NatPh
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. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two 2D because two coordinates are needed to specify a point on it — for example, both a latitude and longitude are required to locate a point on the surface of a sphere. The inside of a cube , a cylinder or a sphere is three-dimensional 3D because three coordinates are needed to locate a point within these spaces. In classical mechanics , space and time are different categories and refer to absolute space and time. That conception of the world is a four-dimensional space but not the one that was found necessary to describe electromagnetism. 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. 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. Each variety can be considered as an algebraic stack , and its dimension as variety agrees with its dimension as stack. There are however many stacks which do not correspond to varieties, and some of these have negative dimension. It is strongly related to the dimension of an algebraic variety, because of the natural correspondence between sub-varieties and prime ideals of the ring of the polynomials on the variety. For an algebra over a field , the dimension as vector space is finite if and only if its Krull dimension is 0. For X a manifold, this coincides with the dimension mentioned above. This definition of covering dimension can be extended from the class of normal spaces to all Tychonoff spaces merely by replacing the term "open" in the definition by the term " functionally open ". An inductive dimension may be defined inductively as follows. Consider a discrete set of points such as a finite collection of points to be 0-dimensional. By dragging a 0-dimensional object in some direction, one obtains a 1-dimensional object. By dragging a 1-dimensional object in a new direction , one obtains a 2-dimensional object. Moreover, the boundary of a discrete set of points is the empty set, and therefore the empty set can be taken to have dimension Similarly, for the class of CW complexes , the dimension of an object is the largest n for which the n -skeleton is nontrivial. Intuitively, this can be described as follows: if the original space can be continuously deformed into a collection of higher-dimensional triangles joined at their faces with a complicated surface, then the dimension of the object is the dimension of those triangles. The Hausdorff dimension is useful for studying structurally complicated sets, especially fractals. The Hausdorff dimension is defined for all metric spaces and, unlike the dimensions considered above, can also have non-integer real values.
Tesseract Hypersphere. Isaac Asimov, in his foreword to the Signet Classics edition, described Flatland as "The best introduction one can find into the manner of perceiving dimensions. May 22, It was a genuine western, with high horn and high cantle and two cinches, but much reduced in every dimension. Related to dimension: 4th Dimension. A Europe which is no longer open to the transcendent dimension of life is a Europe which risks slowly losing its own soul. A tesseract is an example of a four-dimensional object. Words nearby dimension dime a dozen , dime bag , dimelia , dimenhydrinate , dime novel , dimension , dimensional analysis , dimensionless number , dimension lumber , dimension stone , dimer. Cartesian two-dimensional Polar Latitude and longitude. Begin again! Word of the Day find out. This definition of covering dimension can be extended from the class of normal spaces to all Tychonoff spaces merely by replacing the term "open" in the definition by the term " functionally open ". Wikimedia Commons has media related to Dimensions. Another reference is Madeleine L'Engle 's novel A Wrinkle In Time , which uses the fifth dimension as a way for "tesseracting the universe" or "folding" space in order to move across it quickly. The awkward case of 'his or her'. Taking into consideration the mean of observations made at divers times-- rejecting the timid estimate of those who assigned to this object a length of two hundred feet, equally with the exaggerated opinions which set it down as a mile in width and three in length--we might fairly conclude that this mysterious being surpassed greatly all dimensions admitted by the learned ones of the day, if it existed at all. For the non- free case, this generalizes to the notion of the length of a module. Archived PDF from the original on See all examples of dimension. Consider a discrete set of points such as a finite collection of points to be 0-dimensional. For example, brane gas cosmology   attempts to explain why there are three dimensions of space using topological and thermodynamic considerations. A unit, such as mass, time, or charge, associated with a physical quantity and used as the basis for other measurements, such as acceleration. Thus Kaluza-Klein theory may be considered either as an incomplete description on its own, or as a subset of string theory model building. Measurements in general. Tell us about this example sentence:. PMID One other dimension of e-commerce readiness is integration between information systems. Medical Definition of dimension. Test Your Vocabulary. S2CID It is strongly related to the dimension of an algebraic variety, because of the natural correspondence between sub-varieties and prime ideals of the ring of the polynomials on the variety. But strings can only find each other to annihilate at a meaningful rate in three dimensions, so it follows that only three dimensions of space are allowed to grow large given this kind of initial configuration. One of the most heralded science fiction stories regarding true geometric dimensionality, and often recommended as a starting point for those just starting to investigate such matters, is the novella Flatland by Edwin A. This dimension is finite if and only if the space's Hamel dimension is finite, and in this case the two dimensions coincide. Different vector systems use a wide variety of data structures to represent shapes, but almost all are fundamentally based on a set of geometric primitives corresponding to the spatial dimensions: . In , Kaluza—Klein theory presented 5D including an extra dimension of space. 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. Thesaurus dimension noun. What Is 'Semantic Bleaching'? Views Read Edit View history. Heinlein 's —And He Built a Crooked House , in which a California architect designs a house based on a three-dimensional projection of a tesseract; Alan E. Kids Definition of dimension. A Brief Introduction to Fractal Geometry 1. All the distances and all the dimensions about Versailles are vast. 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. For the dimension of a quantity, see Dimensional analysis. B2 [ C ] a part or feature or way of considering something:. Princeton University Press. D-branes are dynamical extended objects of various dimensionalities predicted by string theory that could play this role. Take the quiz. By varying the distances between a and c, and c and b, any dimension required may be given to the positive impression. Underneath, a miniature version of the bug-crazy man is revealed, himself thwacking away in an alternate dimension. Sign up for free and get access to exclusive content:. Mathematics maths the number of coordinates required to locate a point in space.
B2 [ C often plural ] a measurement of something in a particular direction , especially its height , length , or width :. B2 [ C ] a part or feature or way of considering something:. His personality has several dimensions. These weapons add a new dimension to modern warfare. There is a spiritual dimension to her poetry. Measurements in general. You can also find related words, phrases, and synonyms in the topics: Conditions and characteristics. The dimensions of the room are 26 feet by 15 feet. The new script gave the story a psychological dimension. The estate agent's brochure specifies the dimensions of each room. Good managers will analyse every dimension of job satisfaction. One other dimension of e-commerce readiness is integration between information systems. The information-based economy has the potential to add a new dimension to economic success. Examples of dimension. Can we assess the role of dialect differences relative to other dimensions of situated discourse? From the Cambridge English Corpus. A choice of 3, dimensions seems appropriate for the present data. In both cases these dimensions do not include the thickness of the cyst wall. Considering which dimensions are coupled in performance gesture and which are independent shows the instrument designer where multisliders are appropriate. A control of order -1 has the opposite behaviour: a direct relationship between rate of change of the control's value and the dimension's value. No sane human being would search through all the dimensions of the model blindly hoping to find some optimal sound! The possibility of an event being in the 'active' state generalizes the 0-dimensional notion of state to higher dimensions. The four th and additional dimensions explain very little of the variance in the data. They found that higher-dimensional splines offered significant improvements over standard discretization methods although for dimensions higher than three, their algorithms are still very time-consuming. However, this comes at the cost of weakening the ability of sunspot models to explain fluctuations along some dimensions. More indirectly, these two stylistic dimensions mark different epistemic relations to the discourse, emphasizing and privileging different kinds of information. Our purpose here is to elaborate these analytical dimensions in relation to workplace discourse. To encompass the two parties and seven issue dimensions, we estimated fourteen separate models. Different permutations of the three dimensions generated multiple model types. See all examples of dimension. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Collocations with dimension. Click on a collocation to see more examples of it. See all collocations with dimension. Translations of dimension in Chinese Traditional. See more. Need a translator? Translator tool. What is the pronunciation of dimension? Browse dim-witted. Test your vocabulary with our fun image quizzes. Image credits. Word of the Day find out. Read More. New Words immunity debt.