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Dimension vs Parameter - What's the difference?

dimension | parameter |

In geometry terms the difference between dimension and parameter

is that dimension is the number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates while parameter is in the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.

As nouns the difference between dimension and parameter

is that dimension is a single aspect of a given thing while parameter is a variable kept constant during an experiment, calculation or similar.

As a verb dimension

is to mark, cut or shape something to specified dimensions.

dimension

Noun

(en noun)
  • A single aspect of a given thing.
  • A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
  • * {{quote-magazine, date=2012-01
  • , author=Robert L. Dorit , title=Rereading Darwin , volume=100, issue=1, page=23 , magazine= citation , passage=We live our lives in three dimensions for our threescore and ten allotted years. Yet every branch of contemporary science, from statistics to cosmology, alludes to processes that operate on scales outside of human experience: the millisecond and the nanometer, the eon and the light-year.}}
  • A construct whereby objects or individuals can be distinguished.
  • (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
  • (linear algebra) The number of elements of any basis of a vector space.
  • (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
  • The dimension of velocity is length divided by time.
  • (computing) Any of the independent ranges of indices in a multidimensional array.
  • (science fiction, fantasy) An alternative universe or plane of existence.
  • Synonyms

    * (single aspect of a thing ): aspect * (measure of spatial extent ): magnitude, proportion, size, scope * (construct whereby objects or individuals can be distinguished ): attribute, property

    Derived terms

    * * * * correlation dimension * dimensional * dimensional analysis * dimensional shingle * exterior dimension * four-dimensional * fourth dimension * fractal dimension * Hamel dimension * Hausdorff dimension * information dimension * isoperimetric dimension * Kaplan-Yorke dimension * Krull dimension * Lebesgue covering dimension * Lyapunov dimension * multidimensional * one-dimensional * pointwise dimension * poset dimension * q-dimension * third dimension * three-dimensional * transdimensional

    Verb

    (en verb)
  • To mark, cut or shape something to specified dimensions.
  • parameter

    English

    Alternative forms

    * parametre

    Noun

    (en noun)
  • (mathematics, physics) A variable kept constant during an experiment, calculation or similar.
  • (programming) An input variable of a procedure definition, that gets an actual value (argument) at execution time (formal parameter) .
  • Roughly, a tuple of arguments could be thought of as a vector, whereas a tuple of parameters''' could be thought of as a covector (i.e., linear functional). When a function is called, a '''parameter tuple becomes "bound" to an argument tuple, allowing the function instance itself to be computed to yield a return value. This would be roughly analogous to applying a covector to a vector (by taking their dot product (or, rather, matrix-product of row vector and column vector)) to obtain a scalar.
  • (programming) An actual value given to such a formal parameter (argument or actual parameter) .
  • A characteristic or feature that distinguishes something from others.
  • (geometry) In the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.
  • The parameter of the principal axis of a conic section is called the latus rectum.
  • (crystallography) The ratio of the three crystallographic axes which determines the position of any plane.
  • (crystallography) The fundamental axial ratio for a given species.
  • Usage notes

    * (the value used to instantiate the name) Some authors regard use of parameter'' to mean ''argument'' as imprecise, preferring that ''parameter'' refers only to the name that will be instantiated, and ''argument to refer to the value that will be supplied to it at runtime.

    Synonyms

    * (value passed to a function) argument * (characteristic distinguishing something from others) distinguishing feature * See also

    Derived terms

    * actual parameter * formal parameter

    See also

    * variable