curvilinear acceleration - meaning and definition. What is curvilinear acceleration
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What (who) is curvilinear acceleration - definition

FOUR-VECTOR THAT IS ANALOGOUS TO CLASSICAL ACCELERATION
4-acceleration; Four acceleration

Curvilinear         
  • <span style="color:black">'''Cartesian'''</span>]] (left) coordinates in two-dimensional space
  • Fig. 1 - Coordinate surfaces, coordinate lines, and coordinate axes of general curvilinear coordinates.
  • Fig. 3 – Transformation of local covariant basis in the case of general curvilinear coordinates
  • Fig. 2 - Coordinate surfaces, coordinate lines, and coordinate axes of spherical coordinates. '''Surfaces:''' ''r'' - spheres, θ - cones, φ - half-planes; '''Lines:''' ''r'' - straight beams, θ - vertical semicircles, φ - horizontal circles;

'''Axes:''' ''r'' - straight beams, θ - tangents to vertical semicircles, φ - tangents to horizontal circles
  • isbn=0-7167-0344-0}}</ref>
COORDINATE SYSTEM WHOSE DIRECTIONS VARY IN SPACE
Curvilinear; Parametric coordinates; Parametric coordinate; Parametric coord; Lamé coefficients; Curvilinear coordinate system; Curvalinear coordinate systems; Orthogonal curvilinear coordinates; Curvilinear coordinate; Lamé coefficients (curvilinear coordinates)
·adj Consisting of, or bounded by, curved lines; as, a curvilinear figure.
Curvilinear coordinates         
  • <span style="color:black">'''Cartesian'''</span>]] (left) coordinates in two-dimensional space
  • Fig. 1 - Coordinate surfaces, coordinate lines, and coordinate axes of general curvilinear coordinates.
  • Fig. 3 – Transformation of local covariant basis in the case of general curvilinear coordinates
  • Fig. 2 - Coordinate surfaces, coordinate lines, and coordinate axes of spherical coordinates. '''Surfaces:''' ''r'' - spheres, θ - cones, φ - half-planes; '''Lines:''' ''r'' - straight beams, θ - vertical semicircles, φ - horizontal circles;

'''Axes:''' ''r'' - straight beams, θ - tangents to vertical semicircles, φ - tangents to horizontal circles
  • isbn=0-7167-0344-0}}</ref>
COORDINATE SYSTEM WHOSE DIRECTIONS VARY IN SPACE
Curvilinear; Parametric coordinates; Parametric coordinate; Parametric coord; Lamé coefficients; Curvilinear coordinate system; Curvalinear coordinate systems; Orthogonal curvilinear coordinates; Curvilinear coordinate; Lamé coefficients (curvilinear coordinates)
In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point.
curvilinear         
  • <span style="color:black">'''Cartesian'''</span>]] (left) coordinates in two-dimensional space
  • Fig. 1 - Coordinate surfaces, coordinate lines, and coordinate axes of general curvilinear coordinates.
  • Fig. 3 – Transformation of local covariant basis in the case of general curvilinear coordinates
  • Fig. 2 - Coordinate surfaces, coordinate lines, and coordinate axes of spherical coordinates. '''Surfaces:''' ''r'' - spheres, θ - cones, φ - half-planes; '''Lines:''' ''r'' - straight beams, θ - vertical semicircles, φ - horizontal circles;

'''Axes:''' ''r'' - straight beams, θ - tangents to vertical semicircles, φ - tangents to horizontal circles
  • isbn=0-7167-0344-0}}</ref>
COORDINATE SYSTEM WHOSE DIRECTIONS VARY IN SPACE
Curvilinear; Parametric coordinates; Parametric coordinate; Parametric coord; Lamé coefficients; Curvilinear coordinate system; Curvalinear coordinate systems; Orthogonal curvilinear coordinates; Curvilinear coordinate; Lamé coefficients (curvilinear coordinates)
[?k?:v?'l?n??]
¦ adjective contained by or consisting of a curved line or lines.
Derivatives
curvilinearly adverb
Origin
C18: from L. curvus 'bent, curved', on the pattern of rectilinear.

Wikipedia

Four-acceleration

In the theory of relativity, four-acceleration is a four-vector (vector in four-dimensional spacetime) that is analogous to classical acceleration (a three-dimensional vector, see three-acceleration in special relativity). Four-acceleration has applications in areas such as the annihilation of antiprotons, resonance of strange particles and radiation of an accelerated charge.