scalar Synonyms

No Synonyms and anytonyms found

scalar Meaning

Wordnet

scalar (n)

a variable quantity that cannot be resolved into components

Wordnet

scalar (a)

of or relating to a musical scale

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

Webster

scalar (n.)

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

scalar Sentence Examples

1. The scalar product of two vectors is a scalar quantity that measures their similarity.
2. The Laplacian operator is a scalar differential operator that measures the rate of change of a scalar field.
3. The divergence of a vector field is a scalar field that measures the outward flow of the vector field.
4. The gradient of a scalar field is a vector field that points in the direction of greatest change of the scalar field.
5. The curl of a vector field is a vector field that measures the circulation of the vector field.
6. The divergence of a curl-free vector field is a scalar function that measures the net outward flux of the vector field.
7. The gradient of a divergence-free vector field is a scalar function that measures the net inward flux of the vector field.
8. The Laplacian of a scalar field is a scalar function that measures the second derivative of the scalar field in all directions.
9. The divergence of a gradient vector field is a scalar function that measures the rate of change of the scalar field along the flow lines of the vector field.
10. The curl of a gradient vector field is a null vector field that has no circulation.

FAQs About the word scalar

What is the meaning of the word scalar

a variable quantity that cannot be resolved into components, of or relating to a musical scale, of or relating to a directionless magnitude (such as mass or spe

What are the synonyms of the word scalar

No synonyms found.

What are the antonyms of the word scalar

No antonyms found.

What is the usage of word scalar

The scalar product of two vectors is a scalar quantity that measures their similarity.

The Laplacian operator is a scalar differential operator that measures the rate of change of a scalar field.

How to use the word scalar in a sentence?

The divergence of a vector field is a scalar field that measures the outward flow of the vector field.

The gradient of a scalar field is a vector field that points in the direction of greatest change of the scalar field.