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Now we use the Green's identity [26] int int_{D} bigl( bigl( nabla^{2}v+k^{2}v bigr) v^{ast }- bigl( nabla^{2}v^{ast }+k^{2}v^{ast } bigr) v bigr), ds = oint_{partial {D}} biggl( v^{ast }frac{partial v}{partial x}-v frac{ partial v^{ast }}{partial x} biggr), dy=0 (7.1) to represent the reflected and transmitted waves energy conservation relationship with incident wave.
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In this expression the first term represents an incident wave travelling along the tube in the direction of increasing x towards the open end x = 0 and the second term represents the reflected wave.
On the other hand, the forward function of P m given ρ i demands the intersection point of a straight line equation representing the reflected light, k=m k ρ+c k and the equation of the virtual sphere, s = R 2 - ρ 2. Geometrically, m k and c k can be easily identified as - f ρ i and h, respectively.
After proper optoelectronic transformation and signal conditioning through the front end, the data representing the reflected portion of the light emitted were postprocessed and analyzed by means of our self-designed software at personal computer.
The two output ports represent the signal reflected and the signal transmitted through the cavity.
The loads applied on the model represent the loads reflected from the superstructure and the abutment.
The AI is defined as the percentage of the central pulse pressure which is represented by the reflected pulse wave and, therefore, reflects the degree to which central arterial pressure is augmented by wave reflection [ 8].
req represents the signal reflected from the sample under test including the reference signal.
Too much ingenious construction and they cease to represent the world, becoming reflected images of their own excessively stated pretensions.
They represent the ultrasound waves reflecting off of the pleural lining rather than returning directly back to the probe.
Individual-predicted concentrations should provide an acceptable representation of the observed data, whereas the population-predicted concentrations should represent the "typical" patient (reflecting the center of pooled observed data).
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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