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  2. 'Pataphysics - Wikipedia

    en.wikipedia.org/wiki/'Pataphysics

    Autolux, a Los Angeles–based noise pop band, have a song "Science of Imaginary Solutions" on their second album Transit Transit. The composer Gavin Bryars has been a member of the Collège de 'Pataphysique since 1974; he was appointed Regent in 2001 and a Transcendent Satrap in 2015 at the pataphysical New Year's Eve Vigil E.P. 143 (7 ...

  3. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    Diagonally Implicit Runge–Kutta (DIRK) formulae have been widely used for the numerical solution of stiff initial value problems; [6] the advantage of this approach is that here the solution may be found sequentially as opposed to simultaneously. The simplest method from this class is the order 2 implicit midpoint method.

  4. Runge–Kutta–Fehlberg method - Wikipedia

    en.wikipedia.org/wiki/Runge–Kutta–Fehlberg...

    The solution is the weighted average of six increments, where each increment is the product of the size of the interval, , and an estimated slope specified by function f on the right-hand side of the differential equation.

  5. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    A missing solution is a valid one which is lost during the solution process. Both situations frequently result from performing operations that are not invertible for some or all values of the variables involved, which prevents the chain of logical implications from being bidirectional.

  6. Argument (complex analysis) - Wikipedia

    en.wikipedia.org/wiki/Argument_(complex_analysis)

    Figure 1. This Argand diagram represents the complex number lying on a plane.For each point on the plane, arg is the function which returns the angle . In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and the line joining the origin and z, represented as a point in the complex plane, shown as in ...

  7. Runge–Kutta method (SDE) - Wikipedia

    en.wikipedia.org/wiki/Runge–Kutta_method_(SDE)

    In mathematics of stochastic systems, the Runge–Kutta method is a technique for the approximate numerical solution of a stochastic differential equation. It is a generalisation of the Runge–Kutta method for ordinary differential equations to stochastic differential equations (SDEs). Importantly, the method does not involve knowing ...

  8. In-phase and quadrature components - Wikipedia

    en.wikipedia.org/wiki/In-phase_and_quadrature...

    I/Q data is a two-dimensional stream. Some sources treat I/Q as a complex number; [1] with the I and Q components corresponding to the real and imaginary parts. Others treat it as distinct pairs of values, as a 2D vector, or as separate streams.

  9. Common integrals in quantum field theory - Wikipedia

    en.wikipedia.org/wiki/Common_integrals_in...

    1.5 Integrals with an imaginary linear term in the argument of the exponent 1.6 Integrals with a complex argument of the exponent 2 Gaussian integrals in higher dimensions

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