Definitions for scalarˈskeɪ lər

This page provides all possible meanings and translations of the word scalar

Random House Webster's College Dictionary

sca•larˈskeɪ lər(adj.)

  1. representable by position on a scale or line; having only magnitude:

    a scalar variable.

    Category: Math

  2. of, pertaining to, or utilizing a scalar.

    Category: Math

  3. ladderlike in arrangement or organization; graduated.

  4. (n.)a quantity possessing only magnitude.

    Category: Math

    Ref: Compare vector (def. 1). 1 1

Origin of scalar:

1650–60; < L scālāris of a ladder. See scale3, -ar1

Princeton's WordNet

  1. scalar(adj)

    a variable quantity that cannot be resolved into components

  2. scalar(adj)

    of or relating to a musical scale

    "he played some basic scalar patterns on his guitar"

  3. scalar(adj)

    of or relating to a directionless magnitude (such as mass or speed etc.) that is completely specified by its magnitude

    "scalar quantity"

Wiktionary

  1. scalar(Noun)

    A quantity that has magnitude but not direction; compare vector

  2. scalar(Noun)

    An amplifier whose output is a constant multiple of its input

  3. scalar(Adjective)

    Having magnitude but not direction

  4. scalar(Adjective)

    Of, or relating to scale

  5. Origin: From scalaris, adjectival form from scala, for *, from scandere; compare scale.

Webster Dictionary

  1. Scalar(noun)

    in the quaternion analysis, a quantity that has magnitude, but not direction; -- distinguished from a vector, which has both magnitude and direction

Freebase

  1. Scalar

    In linear algebra, real numbers are called scalars and relate to vectors in a vector space through the operation of scalar multiplication, in which a vector can be multiplied by a number to produce another vector. More generally, a vector space may be defined by using any field instead of real numbers, such as complex numbers. Then the scalars of that vector space will be the elements of the associated field. A scalar product operation may be defined on a vector space, allowing two vectors to be multiplied to produce a scalar. A vector space equipped with a scalar product is called an inner product space. The real component of a quaternion is also called its scalar part. The term is also sometimes used informally to mean a vector, matrix, tensor, or other usually "compound" value that is actually reduced to a single component. Thus, for example, the product of a 1×n matrix and an n×1 matrix, which is formally a 1×1 matrix, is often said to be a scalar. The term scalar matrix is used to denote a matrix of the form kI where k is a scalar and I is the identity matrix.


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