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For example, many chromatic adaptation platforms (CATs) are based on the von Kries coefficient law. [8] It has been used in many applications, especially in many psychophysical research. It has been used in applications ranging from psychophysical work by researchers such as Takasari, Judd, and Pearson; it has also been used in ...
Solfège. In music, solfège (/ ˈsɒlfɛʒ /, French: [sɔlfɛʒ]) or solfeggio (/ sɒlˈfɛdʒioʊ /; Italian: [solˈfeddʒo]), also called sol-fa, solfa, solfeo, among many names, is a mnemonic used in teaching aural skills, pitch and sight-reading of Western music. Solfège is a form of solmization, though the two terms are sometimes used ...
To calculate the diameter of the circle of confusion in the image plane for an out-of-focus subject, one method is to first calculate the diameter of the blur circle in a virtual image in the object plane, which is simply done using similar triangles, and then multiply by the magnification of the system, which is calculated with the help of the ...
Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite.
Tridiagonal matrix algorithm. In numerical linear algebra, the tridiagonal matrix algorithm, also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. A tridiagonal system for n unknowns may be written as. where and .
In mathematics, the Runge–Kutta–Fehlberg method (or Fehlberg method) is an algorithm in numerical analysis for the numerical solution of ordinary differential equations. It was developed by the German mathematician Erwin Fehlberg and is based on the large class of Runge–Kutta methods. The novelty of Fehlberg's method is that it is an ...
The method. The semi-implicit Euler method produces an approximate discrete solution by iterating. where Δ t is the time step and tn = t0 + n Δ t is the time after n steps. The difference with the standard Euler method is that the semi-implicit Euler method uses vn+1 in the equation for xn+1, while the Euler method uses vn.
Generalized minimal residual method. In mathematics, the generalized minimal residual method (GMRES) is an iterative method for the numerical solution of an indefinite nonsymmetric system of linear equations. The method approximates the solution by the vector in a Krylov subspace with minimal residual. The Arnoldi iteration is used to find this ...