In mathematics — specifically, in geometric measure theory — spherical measureσn is the "natural" Borel measure on the n-sphere Sn. Spherical measure is often normalized so that it is a probability measure on the sphere, i.e. so that σn(Sn) = 1.
specifically, in geometric measure theory — sphericalmeasure σn is the "natural" Borel measure on the n-sphere Sn. Sphericalmeasure is often normalized so...
In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified...
spherical isoperimetric inequality, among all subsets A {\displaystyle A} of the sphere S n {\displaystyle S^{n}} with prescribed sphericalmeasure σ...
Spherical Earth or Earth's curvature refers to the approximation of the figure of the Earth as a sphere. The earliest documented mention of the concept...
Sphericity is a measure of how closely the shape of an object resembles that of a perfect sphere. For example, the sphericity of the balls inside a ball...
integration with respect to sphericalmeasure and ωn−1(r) is the "surface area" of this (n − 1)-sphere. Equivalently, the spherical mean is given by 1 ω n...
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...
The roughly spherical shape of Earth can be empirically evidenced by many different types of observation, ranging from ground level, flight, or orbit...
If spherical coordinates are used to describe a problem, then the solution to the angular part of the Helmholtz equation is given by spherical harmonics...
has undergone a recent resurgence as a conspiracy theory. The idea of a spherical Earth appeared in ancient Greek philosophy with Pythagoras (6th century...
A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude...
science of actually measuring positions of celestial objects in the sky is known as astrometry. The primary elements of spherical astronomy are celestial...
The equivalent spherical diameter of an irregularly shaped object is the diameter of a sphere of equivalent geometric, optical, electrical, aerodynamic...
reflects a random measure interpretation for point processes. These two notations are often used in parallel or interchangeably. The spherical contact distribution...
zonal spherical harmonics are special spherical harmonics that are invariant under the rotation through a particular fixed axis. The zonal spherical functions...
S2CID 6931663. Muller; Barton (1989). "Approximate Power for Repeated-Measures ANOVA lacking sphericity". Journal of the American Statistical Association. 84 (406):...
fruitbodies are 13–30 cm (5.1–11.8 in) in diameter. Its spores are spherical, measuring 3.5–5 μm in diameter. "GSD Species Synonymy: Bovista colorata (Peck)...
was derived from Greek τρίγωνον trigōnon, "triangle" and μέτρον metron, "measure". The modern words "sine" and "cosine" are derived from the Latin word...
cycles. Distribution is based on a fundamental identity from spherical trigonometry, the spherical law of cosines: cos ( c ) = cos ( a ) cos ( b ) +...
transformation U is called the spherical Fourier transform or sometimes just the spherical transform and μ is called the Plancherel measure. The Hilbert space H0...
proglottids are full of fertilised eggs, Each fertilised egg is spherical and measures 35 to 42 μm in diameter. If released early enough in the digestive...
In data analysis, cosine similarity is a measure of similarity between two non-zero vectors defined in an inner product space. Cosine similarity is the...
cup width, the cup depth and the length of the wire. Cups give a hemi-spherical shape to breasts and underwires give shape to cups.[citation needed] So...
the integral of f over Sd divided by the area or measure of Sd). Such a set is often called a spherical t-design to indicate the value of t, which is a...
A spherical tokamak is a type of fusion power device based on the tokamak principle. It is notable for its very narrow profile, or aspect ratio. A traditional...
whitish to greyish-brown fruitbodies of Disciseda bovista are roughly spherical, measuring 10–26 mm (0.4–1.0 in) in diameter and 9–15 cm (3.5–5.9 in) tall....
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