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... would not be possible. Nowadays, the generation of coherent electromagnetic waves (with welldefined frequency and same phase) has great importance to the scientific and technological development, in different areas of knowledge, as physics, medicine, chemistry and biology, in a wide range of wavelen ...
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... But β(t1 ) = β(t2 ) = 0, so the last term (the “boundary term”) vanishes. We now use the fact that (∂/∂a)S[xa (t)] must be zero for any function β(t), because we are assuming that x0 (t) yields a stationary value. The only way this can be true is if the quantity in parentheses above (evaluated at a ...
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... atoms, and kinds of atoms, which differ in shape, size, and temperature. Of the weight of atoms, Democritus said “The more any indivisible exceeds, the heavier it is.” But their exact position on weight of atoms is disputed [14, 15]. In daily life, in trade and commerce as well as in many physical a ...
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