• In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent...
    2 KB (250 words) - 11:21, 22 July 2021
  • Thumbnail for Phase space
    The phase space of a physical system is the set of all possible physical states of the system when described by a given parameterization. Each possible...
    18 KB (2,123 words) - 04:26, 6 February 2025
  • The phase-space formulation is a formulation of quantum mechanics that places the position and momentum variables on equal footing in phase space. The...
    27 KB (3,604 words) - 04:25, 25 May 2025
  • dynamical system is a partition of the phase space. Understanding the properties of orbits by using topological methods is one of the objectives of the modern...
    7 KB (1,071 words) - 21:13, 19 March 2025
  • method and the method of steepest descent, but Laplace's contribution precedes the others. The main idea of stationary phase methods relies on the cancellation...
    10 KB (1,812 words) - 07:39, 25 December 2024
  • can exist Phase (matter), a region of space throughout which all physical properties are essentially uniform Phase space, a mathematical space in which...
    4 KB (548 words) - 13:42, 22 May 2025
  • Thumbnail for KPP–Fisher equation
    wave solutions and analysis of their properties is often done by the phase space method. In the same year (1937) as Fisher, Kolmogorov, Petrovsky and Piskunov...
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  • Thumbnail for Optical phase space
    an optical phase space is a phase space in which all quantum states of an optical system are described. Each point in the optical phase space corresponds...
    15 KB (2,494 words) - 13:26, 6 May 2024
  • Thumbnail for Reaction–diffusion system
    Reaction–diffusion system (category Functions of space and time)
    dynamics. Autowave Diffusion-controlled reaction Chemical kinetics Phase space method Autocatalytic reactions and order creation Pattern formation Patterns...
    29 KB (3,606 words) - 12:03, 27 February 2025
  • the peak location from phase characteristics in Fourier space without the inverse transformation, as noted by Stone. These methods usually use a linear...
    11 KB (1,774 words) - 02:42, 28 December 2024
  • Thumbnail for Physiological relevance
    and Degradation Properties of Multilayered Polymer Scaffolds: The Phase Space Method for Bile Duct Design and Bioengineering". Biomedicines. 11 (3): 745...
    7 KB (755 words) - 16:25, 11 May 2025
  • Thumbnail for Phases of ice
    properties. In space, amorphous ice is the most common form as confirmed by observation. Thus, it is theorized to be the most common phase in the universe...
    137 KB (15,379 words) - 17:52, 9 June 2025
  • Phase-contrast imaging is a method of imaging that has a range of different applications. It measures differences in the refractive index of different...
    27 KB (3,950 words) - 15:44, 25 May 2025
  • Thumbnail for Phase portrait
    curve. Phase portraits are an invaluable tool in studying dynamical systems. They consist of a plot of typical trajectories in the phase space. This reveals...
    5 KB (327 words) - 23:41, 28 December 2024
  • Thumbnail for Probabilistic roadmap
    subset of the space can "see" a large fraction of its complement, then the planner will find a path quickly. The invention of the PRM method is credited...
    4 KB (458 words) - 22:01, 23 February 2024
  • Thumbnail for Three-phase electric power
    neutral return wire) and is the most common method used by electrical grids worldwide to transfer power. Three-phase electrical power was developed in the 1880s...
    57 KB (6,666 words) - 22:11, 10 June 2025
  • Thumbnail for Phase 10
    complete the phase. If you land on a twist phase you can decide to play a twist phase or one of the phases on either side of the twist phase space. If you...
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  • healthy lungs where the alveolar dead space is small, Fowler's method accurately measures the anatomic dead space using a single breath nitrogen washout...
    16 KB (2,227 words) - 12:58, 2 July 2024
  • Retrieved October 25, 2014. Tracy, E. (2014). Ray Tracing and Beyond: Phase Space Methods in Plasma Wave Theory. Cambridge University Press. doi:10.1017/CBO9780511667565...
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  • Thumbnail for Phase diagram
    temperature. The phase diagram shows, in pressure–temperature space, the lines of equilibrium or phase boundaries between the three phases of solid, liquid...
    22 KB (2,513 words) - 03:33, 6 June 2025
  • classical statistical and Hamiltonian mechanics. It asserts that the phase-space distribution function is constant along the trajectories of the system—that...
    25 KB (4,046 words) - 15:56, 2 April 2025
  • In classical and quantum mechanics, geometric phase is a phase difference acquired over the course of a cycle, when a system is subjected to cyclic adiabatic...
    30 KB (4,016 words) - 06:21, 21 April 2025
  • control (DTC) is one method used in variable-frequency drives to control the torque (and thus finally the speed) of three-phase AC electric motors. This...
    16 KB (1,883 words) - 19:39, 15 November 2024
  • It is a two-dimensional case of the general n-dimensional phase space. The phase plane method refers to graphically determining the existence of limit...
    9 KB (1,231 words) - 06:52, 20 April 2024
  • expectation value of an operator in Hilbert space and the expectation value of its associated function in the phase space formulation with respect to a quasiprobability...
    4 KB (621 words) - 19:16, 14 December 2023
  • Thumbnail for Phased array
    efficient method for multiplexing an entire phased array onto a single element photodetector. The dynamic beam forming in an optical phased array transmitter...
    46 KB (5,291 words) - 07:28, 10 May 2025
  • frequency domain approach to finding edge locations. Phase congruency (also known as phase coherence) methods attempt to find locations in an image where all...
    36 KB (5,199 words) - 19:02, 16 April 2025
  • Thumbnail for Wigner quasiprobability distribution
    appears in the Schrödinger equation to a probability distribution in phase space. It is a generating function for all spatial autocorrelation functions...
    38 KB (5,290 words) - 22:26, 28 May 2025
  • The assumption in the MGP method is that the model k-space phase of each line is more precise than that of the original k-space image. From the MGP algorithm...
    11 KB (1,639 words) - 03:26, 26 February 2024
  • Thumbnail for Chirp
    instantaneous angular frequency, ω, is defined as the phase rate as given by the first derivative of phase, with the instantaneous ordinary frequency, f, being...
    16 KB (2,305 words) - 23:17, 12 June 2025