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Legendre transforms are used to introduce intensive variables as natural variables in the fundamental equations of thermodynamics. Natural variables are important because when a thermodynamic potential can be determined as a function of its natural variables, all the other thermodynamic properties of the system can be obtained by taking partial derivatives. It is usually more convenient to use thermodynamic potentials that have intensive natural variables because they are often more easilydoi:10.1351/pac199769112221 fatcat:aommia2un5aprbgkwsfzkegv6i