Standard Notation - Revision history

Adi Kurniawan: /* Greek letters */

2012-07-26T19:59:12Z

Greek letters

← Older revision		Revision as of 19:59, 26 July 2012
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	* <math>\mathcal{E}</math> is the energy		* <math>\mathcal{E}</math> is the energy
	* <math>\zeta</math> is the displacement of the surface		* <math>\zeta</math> is the displacement of the surface
	* <math>\xi</math> any other displacement, most ~~ususually~~ a body in the fluid		* <math>\xi</math> any other displacement, most usually a body in the fluid
	* <math>\eta</math> any other displacement, most ~~ususually~~ a body in the fluid		* <math>\eta</math> any other displacement, most usually a body in the fluid
	* <math> \lambda \,(= 2\pi/k) </math> is the wave length		* <math> \lambda \,(= 2\pi/k) </math> is the wave length
	* <math>\rho</math> is the fluid density (sometimes also string density).		* <math>\rho</math> is the fluid density (sometimes also string density).

Adi Kurniawan: /* Latin Letters */

2010-08-06T15:05:24Z

Latin Letters

← Older revision		Revision as of 15:05, 6 August 2010
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	* <math>R</math> is the radius of a cylinder		* <math>R</math> is the radius of a cylinder
	* <math>\mathrm{Re}</math> is the real part of a complex argument		* <math>\mathrm{Re}</math> is the real part of a complex argument
			* <math>S_F</math> is the free surface
	* <math>t</math> is the time		* <math>t</math> is the time
	* <math> T \,(= 2\pi / \omega)</math> is the wave period		* <math> T \,(= 2\pi / \omega)</math> is the wave period

Meylan at 00:25, 23 July 2010

2010-07-23T00:25:47Z

← Older revision		Revision as of 00:25, 23 July 2010
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	* <math>\phi^{\mathrm{I}}\,</math> is the incident potential		* <math>\phi^{\mathrm{I}}\,</math> is the incident potential
	* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential		* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential
	* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{D}}		* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{S}}
	= \phi^{\mathrm{I}}+\phi^{\mathrm{S}}\,</math>)		= \phi^{\mathrm{I}}+\phi^{\mathrm{D}}\,</math>)
	* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode		* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode
	* <math>\Phi\,</math> is the velocity potential in the time domain		* <math>\Phi\,</math> is the velocity potential in the time domain

Meylan: Undo revision 12109 by Meylan (Talk)

2010-07-23T00:24:34Z

Undo revision 12109 by Meylan (Talk)

← Older revision		Revision as of 00:24, 23 July 2010
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	* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction		* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction
	* <math> k </math> is the wave number		* <math> k </math> is the wave number
			* <math>k_n</math> are the roots of the dispersion eqution
	* <math>\mathcal{L}</math> is the linear operator at the body surface		* <math>\mathcal{L}</math> is the linear operator at the body surface
	* <math>\mathcal{M}</math> is the momentum		* <math>\mathcal{M}</math> is the momentum
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	* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>		* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>
	* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>		* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>
	* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface at <math>z=0</math>		* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface is at <math>z=0</math>
			* <math>\bar{x}</math> is the <math>x</math> coordinate in a moving frame.
	* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.
	* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>z</math> direction.

	== Greek letters ==		== Greek letters ==
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	* <math>\phi\,</math> is the velocity potential in the frequency domain		* <math>\phi\,</math> is the velocity potential in the frequency domain
	* <math>\phi^{\mathrm{I}}\,</math> is the incident potential		* <math>\phi^{\mathrm{I}}\,</math> is the incident potential
	* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential
	* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential		* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential
	* <math>\phi^{\mathrm{R}}\,</math> is the radiated potential		* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{D}}
			= \phi^{\mathrm{I}}+\phi^{\mathrm{S}}\,</math>)
			* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode
	* <math>\Phi\,</math> is the velocity potential in the time domain		* <math>\Phi\,</math> is the velocity potential in the time domain
			* <math>\bar{\Phi}\,</math> is the velocity potential in the time domain for a moving coordinate system
	* <math>\omega</math> is the wave/angular frequency		* <math>\omega</math> is the wave/angular frequency
	* <math>\Omega\,</math> is the fluid region		* <math>\Omega\,</math> is the fluid region

Meylan: Reverted edits by Meylan (Talk) to last revision by Adi Kurniawan

2010-07-23T00:24:06Z

Reverted edits by Meylan (Talk) to last revision by Adi Kurniawan

← Older revision		Revision as of 00:24, 23 July 2010
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	* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction		* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction
	* <math> k </math> is the wave number		* <math> k </math> is the wave number
	* <math>k_n</math> are the roots of the dispersion eqution
	* <math>\mathcal{L}</math> is the linear operator at the body surface		* <math>\mathcal{L}</math> is the linear operator at the body surface
	* <math>\mathcal{M}</math> is the momentum		* <math>\mathcal{M}</math> is the momentum
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	* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>		* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>
	* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>		* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>
	* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface is at <math>z=0</math>		* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface at <math>z=0</math>
	* <math>\bar{x}</math> is the <math>x</math> coordinate in a moving frame.
	* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.
	* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>z</math> direction.		* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.

	== Greek letters ==		== Greek letters ==
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	* <math>\phi\,</math> is the velocity potential in the frequency domain		* <math>\phi\,</math> is the velocity potential in the frequency domain
	* <math>\phi^{\mathrm{I}}\,</math> is the incident potential		* <math>\phi^{\mathrm{I}}\,</math> is the incident potential
			* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential
	* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential		* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential
	* <math>\phi~~^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{D}}~~		* <math>\phi^{\mathrm{R}}\,</math> is the radiated potential
	~~= \phi^{\mathrm{I}}+\phi^{\mathrm{S}}\,</math>)~~
	* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential ~~(for the <math>m</math> mode~~
	* <math>\Phi\,</math> is the velocity potential in the time domain		* <math>\Phi\,</math> is the velocity potential in the time domain
	* <math>\bar{\Phi}\,</math> is the velocity potential in the time domain for a moving coordinate system
	* <math>\omega</math> is the wave/angular frequency		* <math>\omega</math> is the wave/angular frequency
	* <math>\Omega\,</math> is the fluid region		* <math>\Omega\,</math> is the fluid region

Meylan: /* Greek letters */

2010-07-18T22:41:57Z

Greek letters

← Older revision		Revision as of 22:41, 18 July 2010
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	* <math>\phi^{\mathrm{I}}\,</math> is the incident potential		* <math>\phi^{\mathrm{I}}\,</math> is the incident potential
	* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential		* <math>\phi^{\mathrm{D}}\,</math> is the diffracted potential
	* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{S}}		* <math>\phi^{\mathrm{S}}\,</math> is the scattered potential (<math>\phi^{\mathrm{D}}
	= \phi^{\mathrm{I}}+\phi^{\mathrm{D}}\,</math>)		= \phi^{\mathrm{I}}+\phi^{\mathrm{S}}\,</math>)
	* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode		* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode
	* <math>\Phi\,</math> is the velocity potential in the time domain		* <math>\Phi\,</math> is the velocity potential in the time domain

Meylan: /* Latin Letters */

2010-05-02T10:25:12Z

Latin Letters

← Older revision		Revision as of 10:25, 2 May 2010
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	* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction		* <math>\mathbf{k}</math> is the unit vector in the <math>z</math> direction
	* <math> k </math> is the wave number		* <math> k </math> is the wave number
			* <math>k_n</math> are the roots of the dispersion eqution
	* <math>\mathcal{L}</math> is the linear operator at the body surface		* <math>\mathcal{L}</math> is the linear operator at the body surface
	* <math>\mathcal{M}</math> is the momentum		* <math>\mathcal{M}</math> is the momentum

Meylan: /* Latin Letters */

2010-04-04T10:15:50Z

Latin Letters

← Older revision		Revision as of 10:15, 4 April 2010
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	* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>		* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>
	* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface is at <math>z=0</math>		* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface is at <math>z=0</math>
			* <math>\bar{x}</math> is the <math>x</math> coordinate in a moving frame.
	* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.
	* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>z</math> direction.		* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>z</math> direction.

Meylan: /* Greek letters */

2010-04-04T10:15:03Z

Greek letters

← Older revision		Revision as of 10:15, 4 April 2010
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	* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode		* <math>\phi_{m}^{\mathrm{R}}\,</math> is the radiated potential (for the <math>m</math> mode
	* <math>\Phi\,</math> is the velocity potential in the time domain		* <math>\Phi\,</math> is the velocity potential in the time domain
			* <math>\bar{\Phi}\,</math> is the velocity potential in the time domain for a moving coordinate system
	* <math>\omega</math> is the wave/angular frequency		* <math>\omega</math> is the wave/angular frequency
	* <math>\Omega\,</math> is the fluid region		* <math>\Omega\,</math> is the fluid region

Meylan: /* Latin Letters */

2010-04-04T08:43:04Z

Latin Letters

← Older revision		Revision as of 08:43, 4 April 2010
Line 36:		Line 36:
	* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>		* <math>\mathbf{v}</math> is the flow velocity vector at <math>\mathbf{x}</math>
	* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>		* <math>\mathbf{x}</math> is the fixed Eulerian vector <math>(x,y,z)</math>
	* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface at <math>z=0</math>		* <math>x</math> and <math>y</math> are in the horizontal plane with <math>z</math> pointing vertically upward and the free surface is at <math>z=0</math>
	* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>X_n(x)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.
	* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>x</math> direction.		* <math>Z(z)</math> is an eigenfunction arising from separation of variables in the <math>z</math> direction.

	== Greek letters ==		== Greek letters ==