A Chapman function describes the integration of atmospheric absorption along a slant path on a spherical Earth, relative to the vertical case. It applies to any quantity with a concentration decreasing exponentially with increasing altitude. To a first approximation, valid at small zenith angles, the Chapman function for optical absorption is equal to
where z is the zenith angle and sec denotes the secant function.
The Chapman function is named after Sydney Chapman, who introduced the function in 1931.[1]
^Chapman, S. (1 September 1931). "The absorption and dissociative or ionizing effect of monochromatic radiation in an atmosphere on a rotating earth part II. Grazing incidence". Proceedings of the Physical Society. 43 (5): 483–501. Bibcode:1931PPS....43..483C. doi:10.1088/0959-5309/43/5/302.
A Chapmanfunction describes the integration of atmospheric absorption along a slant path on a spherical Earth, relative to the vertical case. It applies...
The generalized logistic function or curve is an extension of the logistic or sigmoid functions. Originally developed for growth modelling, it allows for...
Look up Chapman or chapman in Wiktionary, the free dictionary. Chapman may refer to: Chapman Entertainment, a former British television production company...
the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a...
response variable via a link function and by allowing the magnitude of the variance of each measurement to be a function of its predicted value. Generalized...
certain time. The survival function is also known as the survivor function or reliability function. The term reliability function is common in engineering...
Anthony Colin Bruce Chapman CBE (19 May 1928 – 16 December 1982) was an English design engineer, inventor, and builder in the automotive industry, and...
In mathematics, a concave function is one for which the value at any convex combination of elements in the domain is greater than or equal to the convex...
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists...
In statistics, the logit (/ˈloʊdʒɪt/ LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in...
In mathematics, a quintic function is a function of the form g ( x ) = a x 5 + b x 4 + c x 3 + d x 2 + e x + f , {\displaystyle g(x)=ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f...
Herbert Chapman (19 January 1878 – 6 January 1934) was an English football player and manager. Though he had an undistinguished playing career, he went...
A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the second set (the...
Springer. pp. 149–150. ISBN 978-1-84882-618-2. Chapman, Stephen J. (2019). "Example 5.2: The factorial function". MATLAB Programming for Engineers (6th ed...
real-valued random variable. The general form of its probability density function is f ( x ) = 1 σ 2 π e − 1 2 ( x − μ σ ) 2 {\displaystyle f(x)={\frac {1}{\sigma...
physiology of insects, The Insects- Structure and Function, several editions of which have been published. Chapman was born in London and received a bachelor's...
In probability theory and statistics, the probit function is the quantile function associated with the standard normal distribution. It has applications...
Franklin. Chapman worked on Marie McDonald's wardrobe for the 1963 film Promises! Promises! In 1952, Betty Furness appeared at a function wearing a Ceil...
vector-valued function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes...
In algebra, a quartic function is a function of the form f ( x ) = a x 4 + b x 3 + c x 2 + d x + e , {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} α...