Theta (UK: /ˈθiːtə/ , US: /ˈθeɪtə/ ) uppercase Θ; lowercase θ; Ancient Greek: θῆτα thē̂ta [tʰɛ̂ːta]; Modern: θήτα thī́ta [ˈθita]) is the eighth letter of the Greek alphabet, derived from the Phoenician letter Teth 𐤈. In the system of Greek numerals, it has a value of 9.
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👉 Theta in the context of Coordinate
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the position of the points or other geometric elements on a manifold such as Euclidean space. The coordinates are not interchangeable; they are commonly distinguished by their position in an ordered tuple, or by a label, such as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.
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Theta in the context of Spherical coordinate system
In mathematics, a spherical coordinate system specifies a given point in three-dimensional space by using a distance and two angles as its three coordinates. These are
- the radial distance r along the line connecting the point to a fixed point called the origin;
- the polar angle θ between this radial line and a given polar axis; and
- the azimuthal angle φ, which is the angle of rotation of the radial line around the polar axis.
(See graphic regarding the "physics convention".)