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Physics World, 2020
Having written the Critical Point column in Physics World for 20 years, Robert P Crease still worries that physicists don't realize why the humanities are so important
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Having written the Critical Point column in Physics World for 20 years, Robert P Crease still worries that physicists don't realize why the humanities are so important
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Critical Points of Functionals
2004In the last section of the preceding chapter, we have already seen examples of how solutions to certain nonlinear equations could be obtained as critical points of appropriate functionals.
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On the critical point‐arboricity graphs
Journal of Graph Theory, 2001AbstractIn this paper, we study the critical point‐arboricity graphs. We prove two lower bounds for the number of edges of k‐critical point‐arboricity graphs. A theorem of Kronk is extended by proving that the point‐arboricity of a graph G embedded on a surface S with Euler genus g = 2, 5, 6 or g ≥ 10 is at most $k =\lfloor {9 +\sqrt {1+ 24\, g}\over 4}
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2023
Abstract ‘The critical point’ in a phase diagram denotes the conditions under which a continuous transition between two states of matter occurs. Surprisingly, near the critical point diverse systems can have the same dependence of physical properties on parameters such as temperature.
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Abstract ‘The critical point’ in a phase diagram denotes the conditions under which a continuous transition between two states of matter occurs. Surprisingly, near the critical point diverse systems can have the same dependence of physical properties on parameters such as temperature.
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Pointing to a second critical point
Science, 2017Water Thermodynamics One explanation for the divergence of many of the thermodynamic properties of water is that there is a critical point in deeply supercooled water at some positive pressure. For bulk water samples, these conditions are described as “no man's land,” because ice nucleates before such temperatures can be reached. Kim et al.
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Finding critical points whose polarization is a critical point
2012We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical ...
Van Schaftingen, J., Squassina, Marco
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