Concept cluster: Math and astronomy > Chaos and Dynamics
n
(systems theory, dynamical systems, chaos theory) For certain maps, a point beyond which periodic orbits give way to chaotic ones.
adj
In mechanics, relating to a pair of forces, a pair of oscillations or other motion acting in the opposite direction to symmetric.
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The ratio of an object's longest dimension to its next-longest dimension.
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(mathematics, physics) A set of points or states to which a dynamical system evolves after a long enough time. That is, points that get close enough to the attractor remain close even if slightly disturbed.
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(signal processing) The set of vector differences between the transmit and receive arrays.
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Synonym of Laplace expansion
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(mathematics) The dual of a mass.
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(differential geometry) Synonym of coordinate chart.
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(physics) A correlation between two peaks
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(mathematics, statistics) The probability that an outcome will fall into a given range, per unit of that range; the relative likelihood of possible values of a continuous random variable.
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Synonym of Sørensen-Dice coefficient
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(physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
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The curve or line of a graph in which cumulative frequencies are plotted.
adj
(mathematics, physics) Having, or concerning the same frequencies
adj
(chemistry) Having the same normality
n
A region whose every point has the same potential.
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A set of filters (in several different contexts)
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(mathematics) The time taken for a random walker to reach a specified target
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(obsolete, mathematics) differential calculus
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(physics) A unitary transformation of the orthonormal basis in which both the Hamiltonian and the state are represented; it has applications in high-energy physics.
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(physics) A set of axes which enable an observer to measure the position and motion of all bodies in some system relative to the reference frame.
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(physics) A physical quantity that is not a function of other constants, such as Π (pi), C (light speed), etc. The smallest common denominators of physics, and the parameters or dimensions for the 'position' of our universe in the multiverse.
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(signal processing) A special case of the short-time Fourier transform, used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time.
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(signal processing) A form of wavelet designed so as to minimize the product of its standard deviations in the time and frequency domain.
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(industries) Slope of log-log plot of video input and luminance output.
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(mathematics) The mathematical analysis of complex spatial problems
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(sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
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A sequence of rescaled "square-shaped" functions which together form a wavelet family or basis.
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A feature extraction technique used in computer vision and digital image processing to find imperfect instances of objects within a certain class of shapes by a voting procedure.
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A symmetric logistic distribution curve that approximates the production rate of a resource over time.
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(physics) Incommensurate peaks in the spin fluctuation spectrum.
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exponential growth, or a graph detailing it.
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A type of Cartesian graph where each axis represents a different variable, and opposite directions along an axis represent different quantities rather than positive or negative signs of the same quantity; thus four variables are diagrammed in total.
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A single-parameter family of window functions used in finite impulse response filter design and spectral analysis.
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An algorithm that uses a series of measurements observed over time, containing statistical noise and other inaccuracies, and produces estimates of unknown variables that tend to be more precise than those based on a single measurement alone. They are used in navigation, signal processing, etc.
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Synonym of Kleene star
n
Any of a number of mathematical formulae for calculating the relative strengths of military forces.
adj
Of, or relating to Laplace.
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(physics, analytical dynamics) A formula for converting a Lagrangian function to a Hamiltonian function (or vice versa).
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The distance measured along the longest dimension of an object.
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(systems theory) A closed trajectory in phase space of a dynamical system having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches minus-infinity.
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A set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight.
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(countable) A ratio of intensity expressed as a logarithm.
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(computing) A two-dimensional array.
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(physics, statistical mechanics) A particular probability distribution originally defined and used for describing particle speeds in idealized gases. Mathematically, it is the chi distribution with three degrees of freedom (the components of the velocity vector in Euclidean space), with a scale parameter measuring speeds in units proportional to the square root of the ratio of temperature and particle mass.
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(mathematics) The study of measurement, especially the derivation and use of algebraic formulae to measure the areas, volumes and different parameters of geometric figures.
adj
(mathematics, physics) Of or relating to distance.
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(mathematics, physics) The degree of a metric
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(mathematics) Synonym of mixed number
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(signal processing) A technique to estimate the power spectrum of a stationary ergodic finite-variance random process, using several different data tapers which are orthogonal to each other.
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(for an m-step process) the mᵗʰ root of the rolled throughput yield
adj
(signal processing) Of or relating to a kind of matrix that occurs in the construction of filter banks used in multirate digital systems.
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Alternative form of phase plane [(mathematics) A two-dimensional vector field of the phase between two variables]
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(mathematics) the abstract concept of a singularity emitting a flux or flow. A source with infinitesimal dimensions in space.
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(mathematics) A vector superfield in supersymmetry theory
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(physics) A quantity that behaves like a scalar, but changes sign under a parity inversion
adj
(mathematics) Relating to quantics.
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(derogatory) An academic who relies purely on quantitative research methods.
adj
(mathematics, obsolete) Of or relating to an unknown quantity.
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(measurement, statistics) A scale of measurement of data having a fixed zero value, which permits the quantitative comparison of differences of values.
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The ratio of depicted distance to actual distance.
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(sciences) The distance over which a quantity changes by a factor of e (the base of natural logarithms)
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(physics, mathematics) a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor.
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Alternative form of scale height [(sciences) The distance over which a quantity changes by a factor of e (the base of natural logarithms)]
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(mathematics, physics) The length of a scale
adj
(physics) a measure compared with a standard reference value by division, to produce a ratio without unit or dimension (e.g. specific refractive index is a pure number, and is relative to that of air)
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(control engineering) A mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations.
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(systems theory) A variable that describes the state of a dynamical system.
adj
Of or relating to supersymmetry.
adj
(mathematics, physics) Converted to a form as used by supersymmetry
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(mechanics) A theorem stating that the torque of a resultant of two concurrent forces about any point is equal to the algebraic sum of the torques of its components about the same point.
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Alternative form of view plane [(projective geometry) The plane onto which an object is projected in a parallel or perspective projection]
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Synonym of d'Alembert operator
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Grelling-Nelson paradox
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(quantum mechanics) A method of reducing high-order derivatives to a combinatorics problem, used extensively in quantum field theory to reduce arbitrary products of creation and annihilation operators to sums of products of pairs of these operators.
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Synonym of kriging

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