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For example, approximating the multiple alignment distribution by analyzing the set of all pairwise alignments instead of using MCMC could allow for the analysis of large genomic regions.
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Then analytical solutions of eq 5.59 of the form 5.61are possible, for example, by approximating the effective potential as a double harmonic oscillator in the R and Q coordinates.
Several concrete examples for approximating the ℓ 0-norm are provided at the end of this section.
Cai and Kou [32] also provided some interesting examples of approximating the gamma distribution, the Pareto distribution, and the Weibull distribution numerically with the mixed-exponential distribution.
The first example approximates a known mathematical function on an irregular grid.
Fig. 7c gives an example of (1) approximating the prevalence time-course of scabies for scenario 2 without treatment (the relaxation curve).
The general consensus is that significance can be defined as a P-value smaller than 5 × 10-7, whinh in a cohort such as the Wellcome Trust Case Control Consortium WTCCCC) of 2,000 cases, for example, approximates to a power of 43% rising to 80% to detect alleles with ORs of 1.3 and 1.5, respectively [ 5].
The concept of "wisdom" as an active emanation from God, for example, closely approximates the Stoic concept of the universal logos.
For example, ChangeFinder approximates the input data items' distribution through a mixture of normal distributions.
They could, for example, approximate this gradient stochastically on a step-by-step basis.
To model a sphere, for example, the program approximates the sphere's surface using many small polygons, such as squares or triangles.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com