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It was his idea to use as a good approximation for the ideal blackbody an oven with a small hole.
The quality of the approximation for the second moment (variance) is comparable to Roberts' approximation for the individual blocking probabilities.
A common approximation for the average value is (3).
which provides the initial approximation for the solution of (3.5).
Euler's method discretization is an approximation for the derivative while the predictor-corrector method is an approximation for the integral.
This scaling is a suitable approximation for the present study.
Mathematicians have no similar approximation for the number of congruent numbers.
Our method makes use of a finite difference approximation for the temporal discretization, and spectral approximation for the spatial discretization.
The basic idea is that in each step we use a Gaussian approximation for the posterior and a quadratic approximation for the log-likelihood function.
We should note that the predictor-corrector method is an approximation for the fractional-order integration, however, our approach is an approximation for the right-hand side.
Also we give a higher order approximation for the posterior expectation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com