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Stochastic oscillator is a momentum indicator within technical analysis that uses support and resistance levels as an oscillator. George Lane developed this indicator in the late 1950s. [ 1 ] The term stochastic refers to the point of a current price in relation to its price range over a period of time. [ 2 ]
It is an extension of the Euler method for ordinary differential equations to stochastic differential equations named after Leonhard Euler and Gisiro Maruyama. The same generalization cannot be done for any arbitrary deterministic method. [1] Consider the stochastic differential equation (see Itô calculus)
An oscillator in technical analysis of financial markets is an indicator that informs if the price of a financial instrument is very high or very low, indicating whether it is overbought or oversold. This helps traders make decisions about when to trade (buy or sell) that instrument.
The simplest non-trivial examples are the exponential growth model/decay (one unstable/stable equilibrium) and the logistic growth model (two equilibria, one stable, one unstable). The phase space of a two-dimensional system is called a phase plane , which occurs in classical mechanics for a single particle moving in one dimension, and where ...
The relationship between different moving average trading rules is explained in the paper "Anatomy of Market Timing with Moving Averages". [4] Specifically, in this paper the author demonstrates that every trading rule can be presented as a weighted average of the momentum rules computed using different averaging periods.
The transformation that allows this model to be solved exactly (at least in the N → ∞ limit) is as follows: . Define the "order" parameters r and ψ as = =. Here r represents the phase-coherence of the population of oscillators and ψ indicates the average phase.
The MACD indicator [2] (or "oscillator") is a collection of three time series calculated from historical price data, most often the closing price. These three series are: the MACD series proper, the "signal" or "average" series, and the "divergence" series which is the difference between the two.
In the figure of the hydrogen orbitals, the 19 sub-images are images of wave functions in position space (their norm squared). The wave functions represent the abstract state characterized by the triple of quantum numbers (n, ℓ, m), in the lower right of each image. These are the principal quantum number, the orbital angular momentum quantum ...