Exact(20)
I wrote a simple ode to annoying golf course habits and watched the in-box light up with maddening conduct I had never thought of -- what a hoot!
Unfortunately, the simple ODE approach will not provide us with this distribution.
Second, a micro-jet actuator combining a kinetic treatment in a small flow region where rarefaction is important with a simple ODE enforcing mass conservation in a much larger spatial region.
For a large class of fractional power-like kernels, we propose a new approach based on reformulating the Fourier symbols both as coefficients of a series expansion and solutions of some simple ODE models.
The process ( Y t n ) t ≥ 0 is the usual 'space-time process', i.e., homogeneous Markov process which is obtained via a state-space extension to obtain a homogeneous Markov process from the inhomogeneous process ( Θ t n ) t ≥ 0. The continuous component satisfies the simple ODE t ˙ = 1, t ( 0 ) = 0, and thus the full process is a PDMP.
Falle (1991) and Komissarov and Falle (1997) used the Kompaneets approximation, which assumes that the gas pressure immediately downstream of the reconfinement shock is equal to the external pressure at the same distance, to derive a simple ODE for the shock radius.
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Gather to the Chapel and Lullaby are beautifully simple odes to joy; Remember When is, seemingly, ripped straight from Finn's most hair-raisingly personal diary entries.
Figure 5 illustrates that the simple ODE-system described here features paradoxical treatment effects.
The performance of the Runge-Kutta-Fehlberg and Rosenbrock methods show, however, that simpler ODE solvers can have more difficulties with some biological models than more advanced solvers, such as CVODE from SUNDIALS[ 51] that can adapt to both non-stiff and stiff problems.
We first give a simple corresponding ODE model as follows: begin{aligned} & -v_{xx}=m bigl v^{3}-vbigr),quad xin(0,1), & v(0)=0,qquad v(1)=0, qquad v(x)>0, quad xin(0,1).
First came "Gucci on My," an infectiously simple trap ode to the Italian house, featuring 21 Savage, Migos, and YG.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com