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

The word ( stochastic ), is the 14665 most frequently used in English word vocabulary

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  1. Unit (s−1),Hz is used only for periodic phenomena, and By is only used for, stochastic ,processes associated with radioactivity. Radiation - exposure The roentgen is
  2. In contrast, most synthetic polymers have much simpler and more random (or, stochastic ,) structures. This fact leads to a molecular mass distribution that is missing
  3. Where required by the game. For some problems, different approaches to modeling, stochastic ,outcomes may lead to different solutions. For example, the difference in
  4. And dispersal success, and population levels fluctuate in response to, stochastic ,events. As the number of species in an ecosystem is higher, the number of
  5. Will contain some randomness. All methods for distinguishing deterministic and, stochastic ,processes rely on the fact that a deterministic system always evolves in the
  6. Turbulence In aerodynamics, turbulence is characterized by chaotic, stochastic ,property changes in the flow. This includes low momentum diffusion, high
  7. Losses in investment banking. ) General models that include all elements of, stochastic ,outcomes, adversaries,and partial or noisy observability (of moves by other
  8. Outcomes (and relation to other fields) Individual decision problems with, stochastic ,outcomes are sometimes considered" one-player games ". These situations are
  9. Mean square displacement, and t is time the process is seen. ** File dynamics, stochastic ,motion of particles in a channel ** Flight dynamics, the science of aircraft
  10. Sounds. Giannis Xenakis began what is called" unique stochastic ," or ", stochastic ,music ", which is a method of composing that employs mathematical probability
  11. With a given diffusion coefficient, along with hydrodynamics equations and, stochastic ,terms describing fluctuations. When calculating the fluctuations with a
  12. The resiliency of the original ecosystem. Ecosystems are primarily governed by, stochastic ,(chance) events, the reactions these events provoke on non-living materials
  13. Second derivative is a consequence of the non-zero quadratic variation of the, stochastic ,process, which broadly speaking means that the process can move up and down in
  14. Processes, and it is a limit of both simpler and more complicated, stochastic ,processes (see random walk and Donsker's theorem). This universality is
  15. Sponge, are some examples of such fractals. * Random fractals – Generated by, stochastic ,rather than deterministic processes, for example, trajectories of the Brownian
  16. Solos with almost no user interaction. Another is Improviser, which uses a, stochastic ,context-free grammar to generate phrases and complete solos. Another
  17. 1922) was a Russian mathematician. He is best known for his work on theory of, stochastic ,processes. His research later became known as Markov chains. He and his younger
  18. Sets of Iranian groups. Fractals can be deterministic (all the above) or, stochastic ,(that is, non-deterministic ). For example, the trajectories of the Brownian
  19. To random continuum fields. The latter then provide a micromechanics basis for, stochastic ,finite elements (SFE). The levels of SVE and EVE link continuum mechanics to
  20. The motion of bodies as induced by external forces ** Anomalous dynamics is the, stochastic ,motion of objects with mean square displacement (MSD) that deviates from the
  21. Developments in optimal control in the 1950s and 1960s,followed by progress in, stochastic , robust, adaptive and optimal control methods in the 1970s and 1980s.
  22. Of the DPLL algorithm (well known implementation include Chaff, GRASP ) and, stochastic ,local search algorithms, such as Walk SAT. A DOLL SAT solver employs a
  23. No such thing as a balance of nature. If ecosystems are governed primarily by, stochastic ,processes, through which its subsequent state would be determined by both
  24. Might be said to beat at 1.2 Hz. The" frequency" ( activity) of aperiodic or, stochastic ,events, such as radioactive decay, is expressed in becquerels. Even though
  25. Stable, regular solution) or increases exponentially with time (chaos). A, stochastic ,system will have a randomly distributed error. Essentially all measures of
  26. Dynamics, the study of motion on the molecular level ** Normal dynamics, is a, stochastic ,motion having a Gaussian probability density function in position with variance
  27. Expressions for representation of, as described above, there are some, stochastic ,protocols for estimation of. In one such protocol, random samples 1,2,..., of
  28. Move further in the past. Once a forecasting error is made by agents, due to a, stochastic ,shock, they will be unable to correctly forecast the price level again even if
  29. 1900 in his PhD thesis" The theory of speculation ", in which he presented a, stochastic ,analysis of the stock and option markets. However, it was Albert Einstein (in
  30. Been studied. The" gold standard" is considered to be partially observable, stochastic ,game (POST),but few realistic problems are computationally feasible in POST
  31. A special subset of a partially ordered set ** Filtering problem (, stochastic ,processes),a mathematical model for a number of filtering problems in signal
  32. In honor of Norbert Wiener. It is one of the best known Lévy processes (Carla, stochastic ,processes with stationary independent increments) and occurs frequently in
  33. Contains an electron - or not. This removes the noise associated with the, stochastic ,multiplication at the cost of counting multiple electrons in the same pixel as
  34. Repeat themselves. Brownian motion is among the simplest of the continuous-time, stochastic ,(or probabilistic) processes, and it is a limit of both simpler and more
  35. Be constructed as the scaling limit of a random walk, or other discrete-time, stochastic ,processes with stationary independent increments. This is known as Donsker's
  36. Sounds. Giannis Xenakis began what is called" unique stochastic ," or ", stochastic ,music ", which is a method of composing that employs mathematical probability
  37. Abnormality),but there can be environmental influence (like teratogens) or, stochastic ,events. Abnormal development caused by mutation is also of evolutionary
  38. Capture. The question of how to distinguish deterministic chaotic systems from, stochastic ,systems has also been discussed in philosophy. Cultural references Chaos theory
  39. Which gives a necessary and sufficient condition for a continuous Rn-valued, stochastic ,process X to actually be n-dimensional Brownian motion. Hence,Lévy's
  40. Is exactly the formula D (f ∘ g) = DF ∘ DG. There are also chain rules in, stochastic ,calculus. One of these,Itō's lemma, expresses the composite of an Ito process
  41. Appears as a momentarily shifting, potentially infinitely long thread with a, stochastic ,arrangement of bays and promontories formed from the small objects at hand. In
  42. However, as with CDs, the gain that is applied in the gain register is, stochastic ,and the exact gain that has been applied to a pixel's charge is impossible to
  43. Fixed probability distribution. The minimal approach may be advantageous where, stochastic ,models of uncertainty are not available, but may also be overestimating
  44. Suite for String Quartet (1957) and Xenakis' uses of Markov chains and, stochastic ,processes. Modern methods include the use of lossless data compression for
  45. Goldberg,1989),for example, describes fitness-proportionate selection, stochastic ,universal sampling and several others. Recombination and Mutation GP departs
  46. Definition of Brownian motion. Let X = (X1,..., Xn) be a continuous, stochastic ,process on a probability space (Ω, Σ,P) taking values in Rn. Then the
  47. Pricing involves developing a complex pricing model: understanding the, stochastic ,process of the price of the underlying asset is often crucial. A key equation
  48. Brownian motion is described by the Wiener process; a continuous-time, stochastic ,process named in honor of Norbert Wiener. It is one of the best known Lévy
  49. Control deals with control design with uncertainty in the model. In typical, stochastic ,control problems, it is assumed that there exist random noise and disturbances
  50. Is used depends on the field). ** Angevin dynamics, a mathematical model for, stochastic ,dynamics; used in modeling molecules, yet also the stock market, and other

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