Sentence examples for explicit expressions that from inspiring English sources
These bounds are explicit expressions that involve type-sensitivity, optimism, and payoff characteristics.
Here, we used stochastic processes to model genetic drift and to derive explicit expressions that provide an alternative to simulations.
Furthermore, Mindlin developed his theory by adding new terms in the expressions of potential and kinetic energy and introducing intrinsic micro-structural parameter without however providing explicit expressions that correlate micro-structure with macro-structure.
Replacing the force in the slender body integral equation by an explicit expression that uses Euler Bernoulli theory to model bending and tensile forces yields an integral expression for the velocity of the filament centerlines, coupled to auxiliary integro-differential equations for the filament tensions.
Here Power(n 1, n 2, a) has explicit expression that can be derived similar to formula (5) on page 9 but using t-test with unequal group sizes.
The strong temperature sensitivity of the corresponding overall rates enables activation-energy asymptotics to be used in describing the resulting thermal runaway, yielding an explicit expression that predicts with excellent accuracy the ignition time for different conditions of initial temperature, composition, and pressure.
Explicit analytical expressions that give the vibrating mode shapes are derived by rigorous application of the symbolic computing package MATHEMATICA, and the Muller root search method is used to determine the natural frequencies.
Explicit isotropic expressions that relate the cell face averaged line and surface integrals of a function and its derivatives to the given cell area and volume averages are derived in two and three dimensions, respectively.
The explicit expressions indicate that wavenumber shift and frequency shift are approximately proportional to the potential energy in the uncracked beam at the (future) crack location.
This indicates that well-educated parents may have a better understanding of the rearing styles practiced in Western culture, which value the explicit emotional expression that is beneficial to children's critical thinking cultivation over subtle or implicit expression of emotion.
After the filtering, the vocabulary consisted of verbs, nouns, terminology and expressions that show an explicit relationship with the crime type they have been assign to.
