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Hace 12 horas · Introduction. A stochastic or random process can be defined as a collection of random variables that is indexed by some mathematical set, meaning that each random variable of the stochastic process is uniquely associated with an element in the set. [4] [5] The set used to index the random variables is called the index set.
30 de abr. de 2024 · We explore the most probable phase portrait (MPPP) of a stochastic single-species model incorporating the Allee effect by utilizing the nonlocal Fokker–Planck equation (FPE). This stochastic model incorporates both non-Gaussian and Gaussian noise sources. It has three fixed points in the deterministic case. One is the unstable state, which lies between the two stable equilibria. Our primary ...
3 de may. de 2024 · Quantum well nanolasers usually show single-mode lasing, as gain saturation suppresses emissions in other modes. In contrast, for whispering gallery mode microdisk lasers with GaN quantum wells as active material, above threshold multimode laser emission is observed.
20 de may. de 2024 · Jwalin Bhatt. 8.69K subscribers. Subscribed. 1. 2 views 1 minute ago. Visualizing the Khinchin's constant by plotting the geometric means for various random numbers and mathematical constants....
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Hace 6 días · Our review paper takes an in-depth look at soil moisture memory, which is how soil records its moisture history over time and space. Analogous to human psychology, which seeks to understand how a person's/society's memory influences his/her present and future behavior, understanding soil moisture memory encourages consideration of how such memory determines present state and might determine ...
2 de may. de 2024 · The least squares linear filter, also called the Wiener filter, is a popular tool to predict the next element (s) of time series by linear combination of time-delayed observations. We consider observation sequences of deterministic dynamics, and ask: Which pairs of observation function and dynamics are predictable?
8 de may. de 2024 · To obtain practical continuum equations for slow fields, we will use three main assumptions as follows. (i) Leading-order corrections around local thermodynamic equilibrium (LTE) will be used to obtain general equations for the coarse-grained density, velocity, and temperature fields for dissipative systems.
