Define Poisson's ratio and show that its value is less than 0.5.
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Poisson's ratio, denoted by the Greek letter {\displaystyle \nu } \nu ('nu'), and named after the French mathematician and physicist Siméon Poisson, is the negative of the ratio of (signed) transverse strain to (signed) axial strain. For small values of these changes, {\displaystyle \nu } \nu is the amount of transversal expansion divided by the amount of axial compression.
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