Eksempler på brug af Probability density på Engelsk og deres oversættelser til Dansk
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Its probability density function is given by.
Under the Copenhagen Interpretation_ψ_² is the probability density function for the system.
Thus the probability density function for w=z2 is given by.
The wave function is such that its squared magnitude is equal to the probability density for the system.
This is expressed as the probability density function for w, P(w), being given by.
The probability density function, cumulative distribution function and inverse, mean, variance, Skewness and Kurtosis are implemented where appropriate and/or their approximations for each distribution.
Description The dnorm function is the probability density of the normal distribution, also called Gaussian distribution.
That probability density is proportional to the reciprocal of the speed of the particle.
Stated the other way around the velocity is inversely proportional to the probability density, which will be expressed as φ².
And thus the probability density for velocity at x is proportional to K(x)Â1⁄2.
The solution to this equation has rapidly oscillations of φ², which is the probability density, between maxima and minima of zero.
This means that if P(x) is the probability density from the Schroedinger equation then the velocity in the quantum level is given by.
Max Born suggested that its squared magnitude represented probability density of finding the particle near a particular location.
This is expressed as the probability density function for w, P(w), being given by P(w)Σp(zα)_dz/dw_zα where the sum is over all zα such that f(zα)=w and the derivative dz/dw is evaluated at those values of zα.
He derives differential equations which are satisfied by the probability density function of the distribution of gene frequencies under certain conditions.
The fact that the probability density distribution that derives from the Schroedinger equation reduces to the time-spent probability density distribution of classical analysis strongly suggest that it is in the nature of a time-spent probability density distribution.
As can be seen a spatial average of the probability density from Schroedinger's equation for this case is equal to the time-spent probability density. .
When the probability density distribution which comes from the solution to the time-independent Schroedinger equation for a physical system is averaged over time or space the rapid oscillations are eliminated and what is left is just the time-spent probability distribution for the system.
The wave function ψ(X) is a complex-valued function of the point in space X. The magnitude squared of the wave function_ψ(X)_2 is the probability density for the electron at point X. A wave function can be multiplied by a function of the form exp(-iφ) without affecting the magnitude and thus without affecting the probabilities of the electron being found in any region of space.
The Nature of the Probability Density Distributions in Quantum Theory The fact that the probability density distribution that derives from the Schroedinger equation reduces to the time-spent probability density distribution of classical analysis strongly suggest that it is itself in the nature of a time-spent probability density distribution.
As the energy of the quantum harmonic oscillator increases fluctuations in probability density become more dense and hence no matter how short the interval over which they are averaged there will be some energy level at which the average is equal to the classical time-spent probability density function.
Thus the probability density function for w=z2 is given by P(w) w-1/2 for 0≤w≤0.25 P(w) 0 for all other values of w Illustration of this Extension of the Central Limit Theorem Below are shown the histograms for 2000 repetitions of taking samples of n random variables and computing the sum of the squares of a random variable which is uniformly distributed between -0.5 and +0.5.
This means that if P(x) is the probability density from the Schroedinger equation then the velocity in the quantum level is given by:_v(x)_ 1/(TP(x)) where T is the time period of the periodic motion of the system.
Max Born suggested that its squared magnitude represented probability density of finding the particle near a particular location. Neils Bohr and his group in Copenhagen concurred and the notion that the wave function represents the intrinsic indeterminancy of the particle of the system came to be known as the Copenhagen Interpretation.
For such low probability densities(1E-6), the numerical issues are so sensitive that the orbital visual representations come a bit different, even for L=1, after this simplification.