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Nephelometry is a technique used in immunology to determine the levels of several blood plasma proteins. For example, the total levels of antibodies isotypes or classes: Immunoglobulin M, Immunoglobulin G, and Immunoglobulin A. [1]
A nephelometer [1] or aerosol photometer [2] is an instrument for measuring the concentration of suspended particulates in a liquid or gas colloid. A nephelometer measures suspended particulates by employing a light beam (source beam) and a light detector set to one side (often 90°) of the source beam.
The problem with any given is that, sometimes, due to rounding errors, a period is falsely identified to be an integer multiple of the real period (e.g., a period of 86 is detected, while the real period is only 43=86/2). In such case, the distance is overestimated, i.e., the reported radius could contain points outside the Mandelbrot set.
In an increasing system, the time constant is the time for the system's step response to reach 1 − 1 / e ≈ 63.2% of its final (asymptotic) value (say from a step increase). In radioactive decay the time constant is related to the decay constant ( λ ), and it represents both the mean lifetime of a decaying system (such as an atom) before it ...
The temporal mean is the arithmetic mean of a series of values over a time period. Assuming equidistant measuring or sampling times, it can be computed as the sum of the values over a period divided by the number of values. A simple moving average can be considered to be a sequence of temporal means over periods of equal duration.
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The smallest value of i > 0 for which the tortoise and hare point to equal values is the desired value ν. The following Python code shows how this idea may be implemented as an algorithm. def floyd ( f , x0 ) -> ( int , int ): """Floyd's cycle detection algorithm."""
One method of producing a longer period is to sum the outputs of several LCGs of different periods having a large least common multiple; the Wichmann–Hill generator is an example of this form. (We would prefer them to be completely coprime, but a prime modulus implies an even period, so there must be a common factor of 2, at least.) This can ...