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- From the 1960s, knowledge of Anatolian became certain enough to establish its relationship to PIE. Using the method of internal reconstruction, an earlier stage, called Pre-Proto-Indo-European, has been proposed.
- of a beta distribution supported in the "c" interval -see section "Alternative parametrizations, Four parameters"-) can be estimated, using the method of moments developed by Karl Pearson, by equating sample and population values of the first four central moments (mean, variance, skewness and excess kurtosis).
- This constrained optimization problem is typically solved using the method of Lagrange multipliers.
- A sniggle is a type of fish hook used for catching eels (known as snigs), using the method of sniggling.
- One can determine basis polynomials using the method of Gröbner bases.
- ... 6 kpc) to the center. Using the method of star counts, Kapteyn was able to confirm his results and dubbed his findings as his first model of the galaxy.
- In his formal published treatises, Archimedes solved the same problem using the method of exhaustion.
- The two solutions can then be matched with each other, using the method of matched asymptotic expansions.
- By using the method of finite differences, it was possible to avoid the need for multiplication and division.
- This is a standard problem in optimisation, known as constrained minimisation. The most common method of solving it is using the method of Lagrange multipliers (although other methods may be used).
- Warwick highlights this "new theorem of relativity" as a Cambridge response to Einstein, and as founded on exercises using the method of inversion, such as found in James Hopwood Jeans textbook "Mathematical Theory of Electricity and Magnetism".
- The mathematical model of the multipath can be presented using the method of the impulse response used for studying linear systems.
- The graph is made using the method of least squares to find the two segments with the best fit.
- This can be shown using the method of stationary phase applied to the propagator.
- The prevalence of digital computers has greatly increased the convenience of using the method of exhaustion (e.g., the first computer-assisted proof of four color theorem in 1976), though such approaches can also be challenged on the basis of mathematical elegance.
- The process can be treated analytically using the method of probability generating functions.
- These results can be derived using the method of the previous section and the various thermodynamic relations.
- Maier-Saupe mean field theory is extended to high molecular weight liquid crystals by incorporating the bending stiffness of the molecules and using the method of path integrals in polymer science.
- This conformal field theory describing the three-dimensional Ising critical point is under active investigation using the method of the conformal bootstrap.
- Boole's inequality may be proved for finite collections of [...] events using the method of induction.
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