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...three orthogonal vectors (U, V, W) are rotated to the Cartesian coordinate system (E, N, Z).]] ...figuration are brought to the Cartesian coordinate system by the following coordinate transformation, where β=30°: ...

{{Short description|Coordinate system used in fluid dynamics}} ...humb|right|A cross-section of the atmosphere over [[terrain]] with a sigma-coordinate representation shown. [[Mesoscale meteorology|Mesoscale]] models divide the ...

{{Short description|2-dimensional kinematic system}} ...ss-date=2021-01-11}}</ref> to provide movement in a [[Cartesian coordinate system]]. Compared to conventional Cartesian 3D printers for [[Fused filament fabr ...

...he threads have the correctly calculated separation, the hour-lines on the horizontal surface are uniformly drawn. The angle between successive hour-lines is con ...the horizontal dial- starting on a conventional XYZ [[Cartesian coordinate system|cartesian framework]] and building up a general projection which he states ...

...a rigid body. In this case, it is sometimes called a ''local'' coordinate system. Given that rotation axes are solidary with the moving body, the generalize ...otations|extrinsic rotations]]) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one and modifies its orientation ...

...g body from the observation points (from Topocentric Equatorial Coordinate System) and general physical data. ...he [[latitude]] and [[local sidereal time]] (from [[Topocentric coordinate system]]) at the surface of the focal body of the orbiting body (for example, the ...

...due to the presence of the waves, which changes the mean depth-integrated horizontal [[momentum]] in the fluid layer. As a result, varying radiation stresses in For uni-directional wave propagation – say in the ''x''-coordinate direction – the component of the radiation stress tensor of [[dynamics (mec ...

===Connection as a horizontal splitting=== ...led the [[Ehresmann connection]] because it yields the [[horizontal bundle|horizontal distribution]] ...

...be exactly one, and its graph would be a line that is neither vertical nor horizontal. However, in this article, <math>a\neq 0</math> is required, so constant fu ...h function defines a line that passes through the origin of the coordinate system, that is, the point <math>(x,y)=(0,0)</math>. In advanced mathematics texts ...

...upright=1.2|Two planes (purple, blue) as members of a threefold orthogonal system intersect a cylinder at curvature lines (blue circle, purble line)]] ...e]] of any pair of surfaces of different pencils of a threefold orthogonal system is a [[curvature line]]. ...

to the zenith. So given an astronomical picture with a coordinate system with a known direction ...al points of the celestial object's disk are aligned with the vertical and horizontal direction of the view in the telescope. With an [[altazimuth mount]], those ...

.../http://www.cds.caltech.edu/~olfati/thesis/ |date=2007-02-07 }}</ref> The system has also been the subject of two texts.<ref name="Fantoni">Fantoni, I. and ...e remaining two diagonal terms are zero. It is possible to find a pendulum system where the moment of inertia in one of the three principal axes is approxima ...

{{short description|Instrument used for measuring horizontal velocity in the upper ocean}} ...cosine response propeller sensors that directly measure the components of horizontal velocity.<ref name=weller>Weller, R. A., and R. E. Davis, 1980: [http://www ...

...is a [[hexadecimal]] integer (136{{sub|[[decimal|10]]}}, 210{{sub|[[octal system|8]]}}, 10001000{{sub|[[Binary number|2]]}}). The rank and file positions ar ...ordinate, known as the file, and a number between 1 and 8 for the vertical coordinate, known as the rank. ...

...[[sky]] is a function of both the [[time]] and the [[geographic coordinate system|geographic location]] of observation on [[Earth]]'s surface. As [[Earth's o # calculate the Sun's position in the [[ecliptic coordinate system]], ...

...h <math>x</math> the horizontal coordinate and <math>y</math> the vertical coordinate (positive upward, in the direction opposing gravity). The Lagrangian coordi ...classical Gerstner wave the fluid motion exactly satisfies the [[Nonlinear system|nonlinear]], [[incompressible]] and [[inviscid]] flow equations below the f ...

According to this law, which is based on [[linear system|linearized]] [[shallow water equations]], the spatial variations of the [[w ...WKB approximation]]. Green's law also corresponds to constancy of the mean horizontal wave [[energy flux]] for long waves:<ref name=Lamb/><ref name=Dean_Dalrympl ...

...layer thickness is then <math>\delta=Re^{-1/2}</math>. The boundary layer coordinate is <math>\eta=y Re^{1/2}</math>. Then the thickness of each deck is ...he small parameter <math>\varepsilon=1/Re^{1/8}</math>. The coordinate for horizontal interaction and for the three decks can then be defined by<ref>Sobey, I. J. ...

...&nbsp;90° is used for a mathematical description in a spherical coordinate system. ...

...= "MHD">{{citation| last = Zhang | first = Zujin| title = Generalized MHD System with Velocity Gradient in Besov Spaces of Negative Order| journal = Acta Ap | direction = horizontal ...