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Whewell noted that "Certain moral principles being, as we've said, thus seen to be true by intuition, under due conditions of reflection and thought, are unfolded into their application by further reflection and thought"(1864, 12 13).
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Instead of solving the Helmholtz equation with boundary conditions of reflections, each signal is interpreted as a superposition of signals emitting from the physical source and its image sources in a free space, which results in a fast computation of sound propagation.
To remove Brewster condition of reflection and obtain maximum absorption, the light must be incident from the MgO side.
We prove that the conditions of translational invariance, covariance with respect to some representation τ=⊕ τj of the orthogonal group O(n), where none of the irreducible components τj is trivial, and the condition of reflection positivity cannot be fulfilled at the same time unless the test function space is restricted by some gauge condition.
The measurements indicate that the extinction in the system is enhanced under the conditions of total reflection for visible wavelengths over a large range of angles.
Spatial frequencies of the grating were selected close to the conditions of Bragg reflection of plasmons for the working wavelength of the SPR refractometer and the used environment (solution of glycerol in water).
These findings demonstrate the dynamic nature of the incidence and prevalence of these conditions – a reflection of the impact of genetic and environmental factors.
This behaviour may distort the extraction of biologically relevant genes in cases where expression patterns overlap several classes of samples or experimental conditions, a reflection of the dependence of the expression of most genes on multiple signals and their participation in more than one regulatory network.
The performed experimental studies confirm the relevance of the vortex phase dependence of a laser beam under conditions of significant absorption, reflection, and scattering of the light.
The developed detection technique is used for the analysis of Laguerre Gaussian vortex beams propagating under conditions of intense absorption, reflection, and scattering in transparent and opaque microparticles in aqueous suspensions.
The reflective properties of this particular interface are numerically investigated for different types of possible micro-macro connections, so explicitly showing the effect of different boundary conditions on the phenomena of reflection and transmission.
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