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asymptotic series

asymptotic series  

A series formed by the expansion of a function in the form a0 + a1/x + a2/x2 + … + an/xn + …, such that the error resulting from terminating the series at the term an/xn tends to zero more rapidly ...
foot

foot  

The unit of length in f.p.s. units. It is equal to one-third of a yard and is now therefore defined as 0.3048 metre. Several units based on the foot were formerly used in science, including the units ...
susceptibility

susceptibility  

1. (magnetic susceptibility) Symbol χm. The dimensionless quantity describing the contribution made by a substance when subjected to a magnetic field to the total magnetic flux density present. It is ...
escape velocity

escape velocity  

The velocity required for atoms or molecules at high altitude to escape from a planet's gravitational field. For example:PlanetEscape velocity (km/s)Earth11.2Moon2.4Mercury4.3Venus10.3Mars5.0
Fourier analysis

Fourier analysis   Quick reference

A Dictionary of Physics (8 ed.)

Reference type:
Subject Reference
Current Version:
2019
Subject:
Science and technology, Physics
Length:
198 words
Illustration(s):
2

...( x ) = a 0 / 2 + ∑ n = 1 ∞ ( a n cos n x + b n sin n x ) . A series of this type is called a Fourier series . If the function is periodic with a period 2 π ‎, the coefficients a 0 , a n , b n are: a 0 = ∫ − π π f ( x ) d x , a n = ∫ − π π f ( x ) cos n x d x , ( n = 1 , 2 , 3 , … ) , b n = 1 / π ∫ − π π f ( x ) sin n x d x , ( n = 1 , 2 , 3 , … ) . Fourier analysis and Fourier series are named after the French mathematician and engineer Joseph Fourier ( 1768–1830 ). Fourier series have many important applications in mathematics, science, and...

asymptotic series

asymptotic series   Quick reference

A Dictionary of Physics (8 ed.)

Reference type:
Subject Reference
Current Version:
2019
Subject:
Science and technology, Physics
Length:
86 words

...asymptotic series A series formed by the expansion of a function in the form a 0 + a 1 / x + a 2 / x 2 +…+ a n / x n +…, such that the error resulting from terminating the series at the term a n / x n tends to zero more rapidly than 1/ x n as x tends to infinity. An asymptotic series expansion is not necessarily a convergent series . Asymptotic series are used very extensively in the physical sciences...

geomagnetism

geomagnetism   Quick reference

A Dictionary of Physics (8 ed.)

Reference type:
Subject Reference
Current Version:
2019
Subject:
Science and technology, Physics
Length:
383 words

...local magnetic intensity of the field measured in gauss or tesla (1 gauss=10 −4 tesla). F , I , and D , together with the horizontal and vertical components of F , and its north and east components, are called the magnetic elements . The value of F varies from about 0.2 gauss to 0.6 gauss, in general being higher in the region of the poles than at the equator, but values vary irregularly over the earth’s surface with no correlation with surface features. There is also a slow unpredictable change in the local values of the magnetic elements called the ...

clo

clo   Quick reference

A Dictionary of Weights, Measures, and Units

Reference type:
Subject Reference
Current Version:
2004

...indoor conditions, i.e. at 70°F, relative humidity ≤ 50%, air movement ≤ 10 ft per minute, the body temperature to be at 98.2°F with metabolism at 50 kilocalories per square metre per hour. Gagge A. P. , Burton A. C. , Bazett M. C. Science 94, 428 (1941) Ipso facto , this is equivalent to a normal business suit plus medium underwear and about a quarter of an inch of clothing. Hence: 1 clo ≈ 0.18∼ K⋅m 2 W -1 (0.88∼degF⋅h⋅ft 2 ⋅B.t.u. -1 , 1.54...

Gaussian gravitational constant

Gaussian gravitational constant   Quick reference

A Dictionary of Weights, Measures, and Units

Reference type:
Subject Reference
Current Version:
2004

...gravitational constant astronomy . Symbol k . 0.017 202 098 95, used in defining the astronomical unit of length from the mass of the Sun, using Kepler's third law and a day of 86 400 s, its dimensionality being such that k 2 has the dimensions of the Newtonian constant of gravitation . The Astronomical Almanac for the Year 2002 (Washington: US Government Printing Office and London: HMSO, 2001), also Explanatory Supplement to the Astronomical Almanac (Mill Valley, CA: University Science Books,...

astronomical day system

astronomical day system   Quick reference

A Dictionary of Weights, Measures, and Units

Reference type:
Subject Reference
Current Version:
2004

...selection of Gregorian dates are: JD 2 452 275.5 1 Jan 2002 JD 2 452 276.5 JD 2 452 640.5 1 Jan 2003 JD 2 452 641.5 JD 2 453 005.5 1 Jan 2004 JD 2 453 006.5 JD 2 453 371.5 1 Jan 2005 JD 2 453 372.5 To simplify reckoning, almanacs The Astronomical Almanac for the Year 2002 (Washington: US Government Printing Office and London: HMSO, 2001), also Explanatory Supplement to the Astronomical Almanac (Mill Valley, CA: University Science Books, 1994). cite 0-numbered days within calendars, e.g. 0 January 2003 , which ends at JD 2 452 640.5. Since all Julian dates...

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