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If, for instance, people are designing a bridge, the equations that model its sturdiness are so complicated that the solution can only be approximated on a computer.
Often, they can only be approximated on the guitar as well, but Mr. Sollscher had a not very secret weapon: an 11-string guitar, with an extended bass range.
Naturally, some of the drama inherent in this music when performed on a bowed instrument was lost in translation, but the compensation was flexibility: chords that are merely suggested in the cello version ring out freely on the guitar, and Mr. Sollscher played lines of counterpoint with an independence that can only be approximated on the cello.
The guards can be approximated on the basis of measurements performed by sensory attributes rather than defined exactly.
The mentioned theorem is about: If a function f is defined on compact set G whose complement is connected in the complex plane and is continuous on G and analytic in the interior, f can be approximated on G by polynomials.
The long-term concentrations of iron in a particular discharge can also be approximated on the basis of the proximity of the discharge location to the outcrop of the most closely associated coal seam (MCACS) and, thus, to zones of possible ongoing pyrite oxidation.
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We calculate the Gini coefficient, G using the approximation of the Lorenz curve, where it is approximated on each interval as a line between consecutive points.
Material strength changes are approximated on the basis of a collected test database, and the design strengths of RC beams are evaluated considering these material strength changes.
Usually, these models consider decisions in the booking period on a very detailed level, whereas the resulting routing costs in the service period are approximated on a rather rough level.
We first derived separately the primary and secondary electron spectra by solving an electron transport equation that was approximated on the basis of the two-stream method (cf. Solomon et al. 1988; Banks and Nagy 1970; Nagy and Banks 1970).
Spatial variation of all physical fields (or of their Laplace transforms) at discrete time instants are approximated on the local boundary and in the interior of the sub-domain by means of the moving least-squares (MLS) method.
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