The sigma coordinate system is a common coordinate system used in computational models for oceanography, meteorology and other fields where fluid dynamics...

equations depends on the vertical coordinate system chosen, such as pressure coordinates, log pressure coordinates, or sigma coordinates. Furthermore, the...

In geometry, the elliptic coordinate system is a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal ellipses and...

was used. The World Geodetic System WGS84 ellipsoid is now generally used to model the Earth in the UTM coordinate system, which means current UTM northing...

{\sinh \tau }{\cosh \tau -\cos \sigma }},\qquad y=a\ {\frac {\sin \sigma }{\cosh \tau -\cos \sigma }}.} The coordinate τ ranges from − ∞ {\displaystyle...

Sigma level may refer to a: measurement of defects in the Six Sigma business management strategy atmospheric pressure measured in a sigma coordinate system...

as a vertical coordinate because of its isentropic nature. z-coordinates sigma coordinates isopycnal coordinates The z coordinate system in which height...

Einstein field equations. A coordinate system is said to satisfy the harmonic coordinate condition if each of the coordinate functions xα (regarded as scalar...

Parabolic coordinates are a two-dimensional orthogonal coordinate system in which the coordinate lines are confocal parabolas. A three-dimensional version...

simulated ground level. This is often implemented using the so-called sigma coordinate system, which is the ratio of the pressure at a location (latitude, longitude...

three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates...

three-dimensional orthogonal coordinate system that results from projecting the two-dimensional elliptic coordinate system in the perpendicular z {\displaystyle...

three-dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal coordinate system is based on confocal quadrics...

sigma _{1}+\sigma _{2}+\sigma _{3}\\I_{2}&=\sigma _{1}\sigma _{2}+\sigma _{2}\sigma _{3}+\sigma _{3}\sigma _{1}\\I_{3}&=\sigma _{1}\sigma _{2}\sigma...

the particular coordinate system ( x , y ) {\displaystyle (x,y)} these stress components are: the normal stresses σ x {\displaystyle \sigma _{x}} and σ y...

three-phase speed and time dependent system and these vectors' rotating reference-frame two-coordinate time invariant system. Such complex stator current space...

three-dimensional orthogonal coordinate system that results from projecting the two-dimensional parabolic coordinate system in the perpendicular z {\displaystyle...

three-dimensional Cartesian coordinates (x, y, z) is an orthogonal coordinate system, since its coordinate surfaces x = constant, y = constant, and z = constant are...

local coordinate system in a neighborhood of p obtained by applying the exponential map to the tangent space at p. In a normal coordinate system, the Christoffel...

principal invariants of tensors do not change with rotation of the coordinate system (see Invariants of tensors). The singular values of a matrix are invariant...

the bispherical coordinate system. The most common definition of bispherical coordinates ( τ , σ , ϕ ) {\displaystyle (\tau ,\sigma ,\phi )} is x = a...

Dirac and also known as Dirac coordinates, are a special coordinate system where two coordinate axes combine both space and time, while all the others are...

y=a\ {\frac {\sin \sigma }{\cosh \tau -\cos \sigma }}} z =   z {\displaystyle z=\ z} where the σ {\displaystyle \sigma } coordinate of a point P {\displaystyle...

three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the...

{i} &=-\sigma _{2}\sigma _{3}=-i\sigma _{1}\\\mathbf {j} &=-\sigma _{3}\sigma _{1}=-i\sigma _{2}\\\mathbf {k} &=-\sigma _{1}\sigma _{2}=-i\sigma _{3}\end{aligned}}}...

(\sigma _{1},\sigma _{2},\sigma _{3})} or the set of kinematic invariants ( I 1 , J 2 , J 3 ) {\displaystyle (I_{1},J_{2},J_{3})} . The Lode coordinate...

described by two different coordinate systems: a rectangular coordinate system (the black grid), and a radial coordinate system (the red grid). Basis vectors...

and one on the right. The effect of the vielbeins is to change the coordinate system used on the tangent manifold to one that is simpler or more suitable...

ellipsoid and the vector is decomposed in an Earth-centered Earth-fixed coordinate system. It behaves smoothly at all Earth positions, and it holds the mathematical...

three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the focal axis of the ellipse...