Reactions can either be carried out in truly biphasic media with mechanical stirring, or in a homogeneous medium derived from water and a miscible organic solvent, such as acetonitrile.
22.
Here, we present a common simple proof limited to the approximation of two antennas separated by a large distance compared to the size of the antenna, in a homogeneous medium.
23.
In a common model of this type, the distant charges are treated as a homogeneous medium using a dielectric constant, and the nearby charges are treated only in a dipole approximation.
24.
In the case of " infinite " homogeneous medium, the core radius and the speed of the rotor rotation are determined only by the properties of the medium itself, rather than the initial conditions.
25.
Prior to Galileo, Nicole Oresme, in the 14th century, had derived the times-squared law for uniformly accelerated change, and Domingo de Soto had suggested in the 16th century that bodies falling through a homogeneous medium would be uniformly accelerated.
26.
Again the oscillatory part of the velocity vector is related to the velocity potential by " " ? " } }, while as before is the Laplace operator, and " " is the average speed of sound in the homogeneous medium.
27.
The beam in the cavity and the output beam of the laser, when traveling in free space ( or a homogeneous medium ) rather than waveguides ( as in an optical fiber laser ), can be approximated as a Gaussian beam in most lasers; such beams exhibit the minimum divergence for a given diameter.
28.
The caves were carved in sandstone, a homogeneous medium-hard rock, and are thought to date to a period before the creation of the Qin Dynasty in 212 BCE . Despite their size and the effort involved in creating them, so far no trace of their construction or even their existence has been located in the historic record.
29.
These waves are solutions for a vector wave equations, such as the ones describing electromagnetic radiation or waves in an elastic solid, the solution for a homogeneous medium is similar : the " scalar " amplitude " A o " is replaced by a constant " vector " "'A o " '.
30.
Although both Berenger's formulation and UPML were initially derived by manually constructing the conditions under which incident plane waves do not reflect from the PML interface from a homogeneous medium, " both " formulations were later shown to be equivalent to a much more elegant and general approach : "'stretched-coordinate PML " '.
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