What is a scalar

Scalars have only the concept of size, but no direction. Completeness can be expressed through a specific value.

For example: weight, temperature, length, mention, time, heat, etc. are all data scalar.

Scalars have only size and no direction

 

Relationship of scalar, vector, matrix, tensor

These 4 concepts are constantly rising in dimensionality. It is easier to understand the metaphorical explanation with the concept of point-line polyhedron:

  • Point - scalar
  • Line - vectorvector
  • Face-matrixmatrix
  • Body - tensor

Relationship of scalar, vector, matrix, tensor

Interested parties can learn more about the following:

'Understanding scalars in one article"

'Understanding Vectors in One Article"

'Understanding matrices in one article"

'Understand tensor in one article"

 

Baidu Encyclopedia and Wikipedia

Baidu Encyclopedia version

Scalar, also known as "no vector." Some physical quantities have only numerical values, but no direction, and some have positive and negative points. In physics, scalar (or scalar) refers to the physical quantity that remains constant under coordinate transformation. In layman's terms, scalars are only small and have no direction.

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Wikipedia version

A scalar is an element field that defines a vector space. The quantities described by multiple scalars, such as having direction and amplitude, are referred to as vectors. Other elements in linear algebra, real or field are called scalars and involve vector space scalar multiplication of operations through the carrier, where the carrier can be multiplied by multiple to produce another vector. More generally, vector spaces, such as complex numbers, can be defined by using any field instead of a real number. The scalar of the vector space will then be the element of the relevant field.

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