释义 |
dimension
di·men·sion D0226900 (dĭ-mĕn′shən, dī-)n.1. A measure of spatial extent, especially width, height, or length.2. often dimensions Extent or magnitude; scope: a problem of alarming dimensions.3. Aspect; element: "He's a good newsman, and he has that extra dimension" (William S. Paley).4. Mathematics a. The least number of independent coordinates required to specify uniquely the points in a space.b. The range of such a coordinate.5. Physics A physical property, such as mass, distance, time, or a combination thereof, regarded as a fundamental measure of a physical quantity: Velocity has the dimension of distance divided by time.6. 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 ... characters." (Conner Schwerdtfeger).tr.v. di·men·sioned, di·men·sion·ing, di·men·sions 1. To cut or shape to specified dimensions.2. To mark with specified dimensions. [Middle English dimensioun, from Latin dīmēnsiō, dīmēnsiōn-, extent, from dīmēnsus, past participle of dīmētīrī, to measure out : dī-, dis-, dis- + mētīrī, to measure; see mē- in Indo-European roots.] di·men′sion·al adj.di·men′sion·al′i·ty (-shə-năl′ĭ-tē) n.di·men′sion·al·ly adv.di·men′sion·less adj.dimension (dɪˈmɛnʃən) n1. (often plural) a measurement of the size of something in a particular direction, such as the length, width, height, or diameter2. (often plural) scope; size; extent: a problem of enormous dimensions. 3. aspect: a new dimension to politics. 4. (Mathematics) maths the number of coordinates required to locate a point in space5. (General Physics) physics a. the product or the quotient of the fundamental physical quantities (such as mass, length, or time) raised to the appropriate power in a derived physical quantity: the dimensions of velocity are length divided by time. b. the power to which such a fundamental quantity has to be raised in a derived quantityvb (tr) chiefly a. to shape or cut to specified dimensionsb. to mark with specified dimensions[C14: from Old French, from Latin dīmensiō an extent, from dīmētīrī to measure out, from mētīrī] diˈmensional adj diˌmensionˈality n diˈmensionally adv diˈmensionless adjdi•men•sion (dɪˈmɛn ʃən, daɪ-) n. 1. 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. c. a magnitude that serves to define the location of an element within a given set, as of a point on a line or an event in space-time. 2. Usu., dimensions. a. measurement in length, width, and thickness. b. scope: the dimensions of a problem. 3. magnitude; size: Matter has dimension. 4. an aspect or factor; side. 5. dimensions, bodily measurements. v.t. 6. to shape or fashion to the desired dimensions. 7. to indicate the dimensions on (a diagram or drawing). [1375–1425; < Latin dīmēnsiō a measuring, derivative of dīmētīrī to measure out =dī- di-2 + mētīrī to measure] di•men′sion•al, adj. di•men`sion•al′i•ty, n. di•men′sion•al•ly, adv. di•men′sion•less, adj. di·men·sion (dĭ-mĕn′shən)1. Mathematics a. 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. The fourth dimension is often said to be time, as in the theory of general relativity. Higher dimensions can be dealt with mathematically but cannot be represented visually.b. The measurement of a length, width, or thickness: The dimensions of the window are 2 feet by 4 feet.2. A unit, such as mass, time, or charge, associated with a physical quantity and used as the basis for other measurements, such as acceleration.dimension Past participle: dimensioned Gerund: dimensioning
Imperative |
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dimension | dimension |
Present |
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I dimension | you dimension | he/she/it dimensions | we dimension | you dimension | they dimension |
Preterite |
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I dimensioned | you dimensioned | he/she/it dimensioned | we dimensioned | you dimensioned | they dimensioned |
Present Continuous |
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I am dimensioning | you are dimensioning | he/she/it is dimensioning | we are dimensioning | you are dimensioning | they are dimensioning |
Present Perfect |
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I have dimensioned | you have dimensioned | he/she/it has dimensioned | we have dimensioned | you have dimensioned | they have dimensioned |
Past Continuous |
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I was dimensioning | you were dimensioning | he/she/it was dimensioning | we were dimensioning | you were dimensioning | they were dimensioning |
Past Perfect |
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I had dimensioned | you had dimensioned | he/she/it had dimensioned | we had dimensioned | you had dimensioned | they had dimensioned |
Future |
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I will dimension | you will dimension | he/she/it will dimension | we will dimension | you will dimension | they will dimension |
Future Perfect |
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I will have dimensioned | you will have dimensioned | he/she/it will have dimensioned | we will have dimensioned | you will have dimensioned | they will have dimensioned |
Future Continuous |
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I will be dimensioning | you will be dimensioning | he/she/it will be dimensioning | we will be dimensioning | you will be dimensioning | they will be dimensioning |
Present Perfect Continuous |
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I have been dimensioning | you have been dimensioning | he/she/it has been dimensioning | we have been dimensioning | you have been dimensioning | they have been dimensioning |
Future Perfect Continuous |
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I will have been dimensioning | you will have been dimensioning | he/she/it will have been dimensioning | we will have been dimensioning | you will have been dimensioning | they will have been dimensioning |
Past Perfect Continuous |
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I had been dimensioning | you had been dimensioning | he/she/it had been dimensioning | we had been dimensioning | you had been dimensioning | they had been dimensioning |
Conditional |
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I would dimension | you would dimension | he/she/it would dimension | we would dimension | you would dimension | they would dimension |
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I would have dimensioned | you would have dimensioned | he/she/it would have dimensioned | we would have dimensioned | you would have dimensioned | they would have dimensioned | ThesaurusNoun | 1. | dimension - the magnitude of something in a particular direction (especially length or width or height)magnitude - the property of relative size or extent (whether large or small); "they tried to predict the magnitude of the explosion"; "about the magnitude of a small pea"thickness - the dimension through an object as opposed to its length or widthtenuity, thinness, slenderness - relatively small dimension through an object as opposed to its length or width; "the tenuity of a hair"; "the thinness of a rope"length - the linear extent in space from one end to the other; the longest dimension of something that is fixed in place; "the length of the table was 5 feet"width, breadth - the extent of something from side to sideheight, tallness - the vertical dimension of extension; distance from the base of something to the topthird dimension - the dimension whereby a solid object differs from a two-dimensional drawing of itfourth dimension, time - the fourth coordinate that is required (along with three spatial dimensions) to specify a physical event | | 2. | dimension - a construct whereby objects or individuals can be distinguished; "self-confidence is not an endearing property"attribute, propertyconcept, conception, construct - an abstract or general idea inferred or derived from specific instanceslineament, character, quality - a characteristic property that defines the apparent individual nature of something; "each town has a quality all its own"; "the radical character of our demands"characteristic, feature - a prominent attribute or aspect of something; "the map showed roads and other features"; "generosity is one of his best characteristics"feature of speech, feature - (linguistics) a distinctive characteristic of a linguistic unit that serves to distinguish it from other units of the same kind | | 3. | dimension - one of three Cartesian coordinates that determine a position in spaceCartesian coordinate - one of the coordinates in a system of coordinates that locates a point on a plane or in space by its distance from two lines or three planes respectively; the two lines or the intersections of the three planes are the coordinate axes | | 4. | dimension - magnitude or extent; "a building of vast proportions"proportionmagnitude - the property of relative size or extent (whether large or small); "they tried to predict the magnitude of the explosion"; "about the magnitude of a small pea" | Verb | 1. | dimension - indicate the dimensions on; "These techniques permit us to dimension the human heart"mark - designate as if by a mark; "This sign marks the border" | | 2. | dimension - shape or form to required dimensionsshape, form - give shape or form to; "shape the dough"; "form the young child's character" |
dimensionnoun1. aspect, side, feature, angle, facet This adds a new dimension to our work.2. extent, size, magnitude, importance, scope, greatness, amplitude, largeness She did not understand the dimension of her plight.plural noun1. proportions, range, size, scale, measure, volume, capacity, bulk, measurement, amplitude, bigness the grandiose dimensions of the roomdimensionnounThe amount of space occupied by something:extent, magnitude, measure, proportion (often used in plural), size.Translationsdimension (diˈmenʃən) , (daiˈmenʃən) noun a measurement in length, breadth, or thickness. The dimensions of the box are 20 cm by 10 cm by 4 cm. 尺寸 尺寸-dimensional of (a certain number of) dimensions. a three-dimensional figure. 維數,維度 …维的,维数 See dimension
dimension
dimension, in physics, an expression of the character of a derived quantity in relation to fundamental quantities, without regard for its numerical value. In any system of measurement, such as the metric system, certain quantities are considered fundamental, and all others are considered to be derived from them. Systems in which length (L), time (T), and mass (M) are taken as fundamental quantities are called absolute systems. In an absolute system force is a derived quantity whose dimensions are defined by Newton's second law of motionmotion, the change of position of one body with respect to another. The rate of change is the speed of the body. If the direction of motion is also given, then the velocity of the body is determined; velocity is a vector quantity, having both magnitude and direction, while speed ..... Click the link for more information. as ML/T2, in terms of the fundamental quantities. Pressure (force per unit area) then has dimensions M/LT2; work or energy (force times distance) has dimensions ML2/T2; and power (energy per unit time) has dimensions ML2/T3. Additional fundamental quantities are also defined, such as electric charge and luminous intensity. The expression of any particular quantity in terms of fundamental quantities is known as dimensional analysis and often provides physical insight into the results of a mathematical calculation.
dimension, in mathematics, number of parameters or coordinates required locally to describe points in a mathematical object (usually geometric in character). For example, the space we inhabit is three-dimensional, a plane or surface is two-dimensional, a line or curve is one-dimensional, and a point is zero-dimensional. By means of a coordinate system one can specify any point with respect to a chosen origin (and coordinate axes through the origin, in the case of two or more dimensions). Thus, a point on a line is specified by a number x giving its distance from the origin, with one direction chosen as positive and the other as negative; a point on a plane is specified by an ordered pair of numbers (x,y) giving its distances from the two coordinate axes; a point in space is specified by an ordered triple of numbers (x,y,z) giving its distances from three coordinate axes. Mathematicians are thus led by analogy to define an ordered set of four, five, or more numbers as representing a point in what they define as a space of four, five, or more dimensions. Although such spaces cannot be visualized, they may nevertheless by physically significant. For example, the quadruple of numbers (x,y,z,t), where t represents time, is sometimes interpreted as a point in four-dimensional space-time (see relativityrelativity, physical theory, introduced by Albert Einstein, that discards the concept of absolute motion and instead treats only relative motion between two systems or frames of reference. ..... Click the link for more information. ). The state of the weather or the economy, in current models, is a point in a many-dimensional space. Many features of plane and solid Euclidean geometry have mathematical analogues in higher dimensional spaces.DimensionThe measured distance between two points, which when shown on a drawing is to become the precise distance between two points in a building.Dimension The dimension of a geometric figure is equal to one if the figure is a curve, two if the figure is a surface, and three if the figure is a solid. From the standpoint of analytic geometry, the dimension of a figure is equal to the number of coordinates needed to determine the position of a point on the figure. For example, the position of a point on a curve can be determined by a single coordinate, that of a point on a surface by two coordinates, and that of a point in three-dimensional space by three coordinates. Until the mid-19th century, geometry dealt only with figures of three or less dimensions. With, however, the development of the concept of a multidimensional space, geometry began studying figures of any dimension. The simplest figures of dimension m are m-dimensional manifolds. An m-dimensional manifold in n-dimensional space is determined by n - m equations. For example, a curve, or one-dimensional manifold, is defined in three-dimensional space by 3 – 1 = 2 equations. The position of a point on an m-dimensional manifold is determined by what are called curvilinear coordinates. Thus, the position of a point on a sphere is determined by the point’s “geographic coordinates,” or latitude and longitude. The position of a point on a torus is defined in an analogous manner. The above statements are valid only under certain restrictive assumptions. A truly general definition of the dimension of any closed bounded set lying in n-dimensional Euclidean space was given by P. S. Urysohn: the dimension of such a set is less than or equal to m if and only if the set admits of an ε-cover, for any ε > 0, by closed sets of multiplicity at most n + 1. This general definition of dimension can be extended in a natural way to extremely broad classes of topological spaces. In 1921, Urysohn constructed dimension theory, one of the most profound theories of modern topology. The further development of dimension theory has been due primarily to such Soviet mathematicians as P. S. Aleksandrov and L. S. Pontriagin. REFERENCEAleksandrov, P. S., and B. A. Pasynkov. Vvedenie v teoriiu razmernosti. Moscow, 1973.dimension[də′men·chən] (computer science) A declarative statement that specifies the width and height of an array of data items. (graphic arts) In a mechanical drawing, a labeled measure in a straight line of the breadth, height, or thickness of a part, the angular position of a line, or the location of a detail such as a hole or boss. (mathematics) The number of coordinates required to label the points of a geometrical object. For a vector space, the number of vectors in any basis of the vector space. For a simplex, one less than the number of vertices of the simplex. For a simplicial complex, the largest of the dimensions of the simplices that make up the complex. The length of one of the sides of a rectangle. The length of one of the edges of a rectangular parallelepiped. dimensionA geometric element in design, such as length, angle, or the magnitude of a quantity.dimension1. Maths the number of coordinates required to locate a point in space 2. Physicsa. the product or the quotient of the fundamental physical quantities (such as mass, length, or time) raised to the appropriate power in a derived physical quantity b. the power to which such a fundamental quantity has to be raised in a derived quantity dimension(1) See dimension table.
(2) One axis in an array. In programming, a dimension statement defines the array and sets up the number of elements within the dimensions.dimension
di·men·sion (di-men'shŭn), Scope, size, magnitude; denoting, in the plural, linear measurements of length, width, and height.di·men·sion (di-men'shŭn) Scope, size, magnitude; denoting, in the plural, linear measurements of length, width, and height. di·men·sion (di-men'shŭn) Scope, size, magnitude; denoting, in the plural, linear measurements of length, width, and height. AcronymsSeeDMNdimension Related to dimension: 4th DimensionSynonyms for dimensionnoun aspectSynonyms- aspect
- side
- feature
- angle
- facet
noun extentSynonyms- extent
- size
- magnitude
- importance
- scope
- greatness
- amplitude
- largeness
noun proportionsSynonyms- proportions
- range
- size
- scale
- measure
- volume
- capacity
- bulk
- measurement
- amplitude
- bigness
Synonyms for dimensionnoun the amount of space occupied by somethingSynonyms- extent
- magnitude
- measure
- proportion
- size
Synonyms for dimensionnoun the magnitude of something in a particular direction (especially length or width or height)Related Words- magnitude
- thickness
- tenuity
- thinness
- slenderness
- length
- width
- breadth
- height
- tallness
- third dimension
- fourth dimension
- time
noun a construct whereby objects or individuals can be distinguishedSynonymsRelated Words- concept
- conception
- construct
- lineament
- character
- quality
- characteristic
- feature
- feature of speech
noun one of three Cartesian coordinates that determine a position in spaceRelated Wordsnoun magnitude or extentSynonymsRelated Wordsverb indicate the dimensions onRelated Wordsverb shape or form to required dimensionsRelated Words |