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The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables r {\displaystyle r} is the radius, C = 2 π r {\displaystyle C=2\pi r} is the circumference (the length of any one of its great circles ),
In this context, a diameter is any chord which passes through the conic's centre. A diameter of an ellipse is any line passing through the centre of the ellipse. [7] Half of any such diameter may be called a semidiameter, although this term is most often a synonym for the radius of a circle or sphere. [8] The longest diameter is called the ...
More formulas of this nature can be given, as explained by Ramanujan's theory of elliptic functions to alternative bases. Perhaps the most notable hypergeometric inversions are the following two examples, involving the Ramanujan tau function τ {\displaystyle \tau } and the Fourier coefficients j {\displaystyle \mathrm {j} } of the J-invariant ...
Three dimensional extent of an object m 3: L 3: extensive, scalar Volumetric flow rate: Q: Rate of change of volume with respect to time m 3 ⋅s −1: L 3 T −1: extensive, scalar Wavelength: λ: Perpendicular distance between repeating units of a wave m L: Wavenumber: k: Repetency or spatial frequency: the number of cycles per unit distance ...
Semicircle: one of the two possible arcs determined by the endpoints of a diameter, taking its midpoint as centre. In non-technical common usage it may mean the interior of the two-dimensional region bounded by a diameter and one of its arcs, that is technically called a half-disc. A half-disc is a special case of a segment, namely the largest one.
The van der Pauw Method is a technique commonly used to measure the resistivity and the Hall coefficient of a sample. Its strength lies in its ability to accurately measure the properties of a sample of any arbitrary shape, as long as the sample is approximately two-dimensional (i.e. it is much thinner than it is wide), solid (no holes), and the electrodes are placed on its perimeter.
The three-dimensional analog of a Reuleaux triangle, the Reuleaux tetrahedron, does not have constant width, but minor changes to it produce the Meissner bodies, which do. [ 2 ] [ 13 ] The curves of constant width may also be generalized to the bodies of constant brightness , three-dimensional shapes whose two-dimensional projections all have ...
optics, photography (ratio of focal length to diameter of aperture) Fresnel number: F = Augustin-Jean Fresnel: optics (slit diffraction) [6] Refractive index: n = electromagnetism, optics (speed of light in vacuum over speed of light in a material) Transmittance: T
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