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It can be seen how useful the principal component analysis has been in screening out the parameters or variables of least significance and regrouping the remaining variables into the physically significant factors.
However, the use of physical equivalence to show that unitarily inequivalent representations are not physically significant has been challenged (see Kronz and Lupher 2005 and Ruetsche 2003).
Thus, according to Lorentz, there are real and physically significant facts about the velocities of bodies with respect to absolute space that, as a matter of principle, cannot be experimentally verified.
A similar setup applies to other hyperbolic systems, especially to the physically significant Maxwell's equation.
Thus, at this stage, it is difficult to identify a physically significant component.
The experimental data are adequately described with physically significant parameter values.
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Non-polymerized micelles (NPM micelles) that incorporated VB-carborane physically showed significant leakage of VB-carborane (ca. 50%) after 12 h incubation with 10% fetal bovine serum (FBS) at 37 °C.
Parents believed that physically active significant others served as role models for their children.
They have the ability to physically dissolve significant quantities of many gases including oxygen and carbon dioxide.
These side effects from treatment range from hot flushes, impotence, breast tenderness and enlargement, and diarrhoea to the physically more significant side effects, which include anaemia, loss of muscle bulk, neurological dysfunction, and osteoporosis.
From the foregoing analysis, it becomes clear why the H-P equation has a stronger dependence on the radius than does the resistance in Ohm's law, which is only proportional to 1/ A. The difference comes from what is physically (and biologically!) significant in the two cases.
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