Sentence examples for quantities are preserved from inspiring English sources
These macroscopic quantities are preserved in exactly reduced models.
Broadly speaking, a first group of methods is based on the observation along the propagation length of the behavior of a given optical quantity (e.g. the photons number) and the step-size at each computational step is set so as to guarantee that the known properties of the quantity are preserved.
From Figure 4 we can find that the relative values of the errors of the conserved quantities (20) are less than (5 times 10^{ - 3}), which implies that the three global conserved quantities (16) are preserved in the Camassa-Holm equation and proves that the numerical results contain some inherent geometric properties of the Camassa-Holm equation.
Here Heraclitus envisages a lawlike transformation of stuff from fire to water to earth; the transformation is reversible, and in it the same relative quantities of stuff are preserved.
Furthermore, all the attributes of FSDT related to the number of the involved unknown quantities and to the order of the governing equations are preserved.
Many relics are preserved.
Two are preserved Yukon riverboats.
Other properties are preserved, however.
Two frontals are preserved.
Three unguals are preserved.
