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It is assumed that the value of a function f defined on [,] is known at + equally spaced points: < < <.There are two classes of Newton–Cotes quadrature: they are called "closed" when = and =, i.e. they use the function values at the interval endpoints, and "open" when > and <, i.e. they do not use the function values at the endpoints.
Tanh-sinh, exp-sinh, and sinh-sinh quadrature are implemented in the C++ library Boost [3] Tanh-sinh quadrature is implemented in a macro-enabled Excel spreadsheet by Graeme Dennes. [4] Tanh-sinh quadrature is implemented in the Haskell package integration. [5] Tanh-sinh quadrature is implemented in the Python library mpmath. [6]
The two amplitude-modulated components are known as the in-phase component (I, thin blue, decreasing) and the quadrature component (Q, thin red, increasing). A sinusoid with modulation can be decomposed into, or synthesized from, two amplitude-modulated sinusoids that are in quadrature phase , i.e., with a phase offset of one-quarter cycle (90 ...
Operators given by ^ = (^ † + ^) and ^ = (^ † ^) are called the quadratures and they represent the real and imaginary parts of the complex amplitude represented by ^. [1] The commutation relation between the two quadratures can easily be calculated:
Quadrature amplitude modulation (QAM), a modulation method of using both an (in-phase) carrier wave and a 'quadrature' carrier wave that is 90° out of phase with the main, or in-phase, carrier Quadrature phase-shift keying (QPSK), a phase-shift keying of using four quadrate points on the constellation diagram, equispaced around a circle
In physics, a squeezed coherent state is a quantum state that is usually described by two non-commuting observables having continuous spectra of eigenvalues.Examples are position and momentum of a particle, and the (dimension-less) electric field in the amplitude (phase 0) and in the mode (phase 90°) of a light wave (the wave's quadratures).
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