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Since sinc is an even entire function (holomorphic over the entire complex plane), Si is entire, odd, and the integral in its definition can be taken along any path connecting the endpoints. By definition, Si(x) is the antiderivative of sin x / x whose value is zero at x = 0, and si(x) is the antiderivative whose value is zero at x = ∞.
The following is a list of integrals (antiderivative functions) ... In all formulas the constant a is assumed to be nonzero, and C denotes the constant of integration.
[1]: 137 For example, the metre, kilometre, centimetre, nanometre, etc. are all SI units of length, though only the metre is a coherent SI unit. The complete set of SI units consists of both the coherent set and the multiples and sub-multiples of coherent units formed by using the SI prefixes. [1]: 138
This list of international units is subsidiary to the list of units article and lists widely used modern units in a form of sortable table. Unit system Domain
Relation to SI units spat: ≡ 4π sr [16] – The solid angle subtended by a sphere at its centre. ≈ 12.566 37 sr: square degree: deg 2; sq.deg.; (°) 2: ≡ (π ⁄ 180) 2 sr: ≈ 0.304 62 × 10 −3 sr: steradian (SI unit) sr The solid angle subtended at the center of a sphere of radius r by a portion of the sphere having an area r 2. A ...
SI base unit Dimension Comments Amount of substance: n: The quantity proportional to the number of particles in a sample, with the Avogadro constant as the proportionality constant: mole (mol) N: extensive, scalar Length: l: The one-dimensional extent of an object metre (m) L: extensive: Time: t: The duration of an event: second (s) T: scalar ...
The SI base units form a set of mutually independent dimensions as required by dimensional analysis commonly employed in science and technology. [ citation needed ] The names and symbols of SI base units are written in lowercase, except the symbols of those named after a person, which are written with an initial capital letter.
SI unit of measure alpha: alpha particle: angular acceleration: radian per second squared (rad/s 2) fine-structure constant: unitless beta: velocity in terms of the speed of light c: unitless beta particle: gamma: Lorentz factor: unitless photon: gamma ray: shear strain: radian heat capacity ratio