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Examples of the the word, dynamical , in a Sentence Context

The word ( dynamical ), is the 16990 most frequently used in English word vocabulary

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  1. To complexity theory of the use of analog computation, which uses continuous, dynamical ,systems and differential equations. Control theory can be considered a form of
  2. Combinatorial aspects of dynamical systems is another emerging field. Here, dynamical ,systems can be defined on combinatorial objects. See for example graph
  3. Can be viewed as outgrowths of the early discrete geometry. Combinatorics and, dynamical ,systems Combinatorial aspects of dynamical systems is another emerging field.
  4. And biological evolution (where SOC has been invoked, for example, as the, dynamical ,mechanism behind the theory of" punctuated equilibrium" put forward by Nile's
  5. Where this has been done, the mass-to-light ratios obtained correspond to the, dynamical ,dark matter measurements of clusters. A technique has been developed over the
  6. A state-space representation, which is why sometimes the latter is preferred in, dynamical ,systems analysis. Solutions to problems of uncontrollable or unobservable
  7. Noise is amplified due to the inherent non-linearity and reveals totally new, dynamical ,properties. Statistical tests attempting to separate noise from the
  8. Economics, biology,and philosophy. Chaos theory studies the behavior of, dynamical ,systems that are highly sensitive to initial conditions, an effect which is
  9. Equations are written in matrix form (the latter only being possible when the, dynamical ,system is linear). The state space representation (also known as the "
  10. One important technique in arithmetic combinatorics is the periodic theory of, dynamical ,systems. Infinity combinatorics Infinity combinatorics, or combinatorial
  11. Mathematical definition of chaos, a commonly used definition says that, for a, dynamical ,system to be classified as chaotic, it must have the following properties: #it
  12. Within the framework of quantum field theory in curved spacetime,the, dynamical ,Casimir effect has been used to better understand acceleration radiation; i.e.
  13. A closed-loop controller uses feedback to control states or outputs of a, dynamical ,system. Its name comes from the information path in the system: process inputs
  14. The first member of that group to be discovered. Groups are relatively loose, dynamical ,associations, whereas families are tighter and result from the catastrophic
  15. Tornado would not have existed. Illustration: Mathematical definition A, dynamical ,system displays sensitive dependence on initial conditions if points
  16. For the first time, an experiment is being conducted that aims at measuring the, dynamical ,Casimir effect. It uses the effective motion of a wall of a superconducting
  17. At the Big Bang. Inflation attempts to resolve these problems by providing a, dynamical ,mechanism that drives the universe to this special state, thus making a
  18. Describing a point's time dependency ** Symbolic dynamics, a method to model, dynamical ,systems * Dynamic programming, a method of solving complex problems by breaking
  19. In a special case * Topological conjugation, which identifies equivalent, dynamical ,systems * Conjugate prior, in probability theory, a family of prior probability
  20. Other length as well as completely chaotic orbits. Strange attractors Some, dynamical ,systems, like the one-dimensional logistic map defined by x → 4 x (1 – x)
  21. Discrete geometry. Combinatorics and dynamical systems Combinatorial aspects of, dynamical ,systems is another emerging field. Here dynamical systems can be defined on
  22. Is currently being questioned by new approaches in psychology, such as, dynamical ,systems, and the embodiment perspective. Because of the use of computational
  23. The extensionand the older editions therein is the size of the frames. A, dynamical ,system is a concept in mathematics where a fixed rule describes the time
  24. Pair, the other particle having been captured by the black hole). The, dynamical ,Casimir effect is the production of particles and energy from an accelerated
  25. Experimental demonstration of the transition to turbulence and chaos in, dynamical ,systems ". Then in 1986 the New York Academy of Sciences co-organized with the
  26. Or more dimensions. Finite dimensional linear systems are never chaotic; for a, dynamical ,system to display chaotic behavior it has to be either nonlinear, or
  27. And it was Rule who invented the concept of a strange attractor in a, dynamical ,system. ) Biology interested Grothendieck much more than physics, and he
  28. The mass of galaxies, clusters of galaxies and the entire universe made through, dynamical ,and general relativistic means, and calculations based on the mass of the
  29. Control theory is * a theory that deals with influencing the behavior of, dynamical ,systems * an interdisciplinary subfield of science, which originated in
  30. A finite sequence from some data source or an infinite sequence from a discrete, dynamical ,system. Such a discrete function could be defined explicitly by a list (if its
  31. In his honor. About 30 % to 35 % of the bodies in the asteroid belt belong to, dynamical ,families each thought to have a common origin in a past collision between
  32. Of the system create small changes in the numbers. The evolution rule of the, dynamical ,system is a fixed rule that describes what future states follow from the
  33. Halos. Such would have to be the case to avoid small-scale (stellar), dynamical , effects. Recent research reported in January 2006 from the University of
  34. Systems can be defined on combinatorial objects. See for example graph, dynamical ,system. Combinatorics and physics There are increasing interactions between
  35. Have great detail and complexity. Strange attractors occur in both continuous, dynamical ,systems (such as the Lorenz system) and in some discrete systems (such as
  36. Branch of engineering and mathematics that deals with the behavior of, dynamical ,systems. The desired output of a system is called the reference. When one or
  37. Theorem shows that a strange attractor can only arise in a continuous, dynamical ,system (specified by differential equations) if it has three or more
  38. And the particle radius r,Avogadro's number N can be determined. The type of, dynamical ,equilibrium proposed by Einstein was not new. It had been pointed out
  39. Made it possible to control, more accurately, significantly more complex, dynamical ,systems than the original fly ball governor. These techniques include
  40. Are well-behaved. While the Poincaré–Bendix son theorem means that a continuous, dynamical ,system on the Euclidean plane cannot be chaotic, two-dimensional continuous
  41. That space. Topics in control theory Stability The stability of a general, dynamical ,system with no input can be described with Lyapunov stability criteria. A
  42. Law of universal gravitation, which yielded the first quantitatively adequate, dynamical ,explanation of planetary motion. See the Principal online at
  43. v. Introducing the formula for \rho, we find that: v=\franc. In a state of, dynamical ,equilibrium, this speed must also be equal to v=\mu mg. Notice that both
  44. Quantum field vacuum fluctuations. An experimental verification of the, dynamical ,Casimir effect is still lacking, although for the first time, an experiment is
  45. A pipeand the number of fish each springtime in a lake. At any given time a, dynamical ,system has a state given by a set of real numbers (a vector) that can be
  46. Bulgarians, Romanians and Russians. He also thinks that Central Europe is a, dynamical ,historical concept, not a static spatial one. For example, Lithuania,a fair
  47. Compared to the" planetary second" ( conventionally measured in barometric, dynamical ,time, TDB). This is because the distance between the Earth and the Sun is not
  48. System) and in some discrete systems (such as the Henson map). Other discrete, dynamical ,systems have a repelling structure called a Julia set which forms at the
  49. Exterior calculus, discrete Morse theory, difference equations, discrete, dynamical , systems,and discrete vector measures. In applied mathematics, discrete
  50. In weather, A successful application of chaos theory is in ecology where, dynamical ,systems such as the Kicker model have been used to show how population growth

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