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One tesla is equal to one weber per square metre. The unit was announced during the General Conference on Weights and Measures in 1960 and is named [ 1 ] in honour of Serbian-American electrical and mechanical engineer Nikola Tesla , upon the proposal of the Slovenian electrical engineer France Avčin .
[25] [26] The standard FIFA football pitch for international matches is 105 m (344 ft) long by 68 m (223 ft) wide (7,140 m 2 or 0.714 ha or 1.76 acres); FIFA allows for a variance of up to 5 m (16.4 ft) in length in either direction and 7 m (23.0 ft) more or 4 m (13.1 ft) less in width (and larger departures if the pitch is not used for ...
Squared Euclidean distance does not form a metric space, as it does not satisfy the triangle inequality. [20] However it is a smooth, strictly convex function of the two points, unlike the distance, which is non-smooth (near pairs of equal points) and convex but not strictly convex.
Cubic metre per second or cubic meter per second in American English (symbol m 3 ⋅ s −1 or m 3 /s) is the unit of volumetric flow rate in the International System of Units (SI). It corresponds to the exchange or movement of the volume of a cube with sides of one metre (39.37 in) in length (a cubic meter , originally a stere ) each second .
Although such information contains long lists of sieve sizes, in practice sieves are normally used in series in which each member sieve is selected to pass particles approximately 1/ √ 2 smaller in diameter or 1/2 smaller in cross-sectional area than the previous sieve. For example the series 80mm, 63, 40, 31.5, 20, 16, 14, 10, 8, 6.3, 4, 2.8 ...
The sum of the series is approximately equal to 1.644934. [3] The Basel problem asks for the exact sum of this series (in closed form ), as well as a proof that this sum is correct. Euler found the exact sum to be π 2 / 6 {\displaystyle \pi ^{2}/6} and announced this discovery in 1735.
Boltzmann constant: The Boltzmann constant, k, is one of seven fixed constants defining the International System of Units, the SI, with k = 1.380 649 x 10 −23 J K −1.The Boltzmann constant is a proportionality constant between the quantities temperature (with unit kelvin) and energy (with unit joule).
The foot per second squared (plural feet per second squared) is a unit of acceleration. [1] It expresses change in velocity expressed in units of feet per second (ft/s) divided by time in seconds (s) (or the distance in feet (ft) traveled or displaced, divided by the time in seconds (s) squared).