Sentence examples for a leading order from inspiring English sources
The phrase "a leading order" is correct and usable in written English
It is typically used to describe an instruction or command that is the first or most significant of its type. For example: The governor issued a leading order that all non-essential businesses in the state must close.
It is a general belief that Einstein theory of general relativity is just a leading order of more general theory of gravity.
Born also found a leading order perturbation formula for (f(theta )): begin{aligned} f(theta ) = - 2pi ) int e^{i overrightarrow{k'}-overrightarrow{k} cdot overrightarrow{x}}V(overrightarrow{x}),doverrightarrow{x} end{aligned} (13.2)where (k'}-overrightarrow{k} cdotk'}cdoverrightarrow{x}}V overrightarrow{x}
If m log(cmin) is smaller than log kdrug) for most of the 25 drugs, we should be able to observe a linear relationship between log kdrug) and IIPmin as log kdrug) is a leading order term.
This leads in (19) and (24) to the contradiction u x ( 0 ) = c m ρ ( 0 ) | u ( 0 ) |, u x ( 0 ) = c q ρ ( 0 ) | u ( 0 ) | − a ( p ( 0 ) ρ ( 0 ) − T w ) A. This means that a mass loss or a heat source of order one is not compatible with the Boussinesq assumption of a constant leading order density.
If the initial data is an energy bounded sequence, we prove that the nonlinear term has an effect at leading order only if the initial data have quadratic oscillations; the proof relies on a linearizability condition (which can be expressed in terms of Wigner measures).
This is a singular limit in which the pressure of the compressible equations converges at leading order to a constant thermodynamic background pressure, while a hydrodynamic pressure term appears in the incompressible equations as a Lagrangian multiplier to establish the divergence-free condition for the velocity.
The theoretical analysis suggests that if the flow is incompressible, the error has the leading order of a dipole plus a quadrupole for Curle's analogy and of just a quadrupole for the proposed alternative approach, thus making the latter more accurate when dipole sources are dominant.
Also, the analysis reveals that the fluid mechanics decouples from the electrochemistry, at leading order; an asymptotically reduced model is then proposed which preserves the original geometrical resolution.
It is shown that for a weak shock, the disturbance evolves like an acceleration wave at the leading order.
This corresponds to a generalised continuum with a second gradient effect at the leading order.
A numerical solution for the leading order outer equation is also presented.
