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Morphometrics
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Morphometrics is the quantitative analysis of shape, size, and form in biological organisms. It involves taking precise measurements of various anatomical features, often utilizing statistical methods to discern patterns, track developmental trajectories, and differentiate populations or species. While rooted in classical osteometry and [craniometry](/entries/crani…
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Similarity (geometry)
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Similarity in geometry refers to a relationship between two geometric figures, known as similar figures, where one can be transformed into the other through a similarity transformation ($T$). This transformation preserves the shape of the figure but not necessarily its size. Mathematically, two figures are similar if there exists a sequence of rigid motions(translations, rotations, and reflections) and a uniform scaling (dilation) that maps one …
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Viscosity
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Molecular Structure and Composition
The intrinsic viscosity is determined by the size, shape, and interaction strength of the constituent molecules. Long, entangled polymer chains (e.g., in polymer melts) exhibit significantly higher viscosities than small, spherical molecules (e.g., in noble gases) due to entanglement friction, often displaying [non-Newtonian behavior](/entries/non-n…