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Understanding Superposition Physically and Mathematically

Introduction One should first and foremost understand that superposition has both a mathematical and physical meaning, or rather it originates as a mathematical property of the system description which will have implications in physics.  The mathematical concepts are fairly straightforward aspects of linear algebra which will be briefly reviewed first. To understand the physical implications…

What Thermodynamics and Entropy Means

Introduction The student of thermodynamics, as they consider pistons and ideal gasses and such, often begin to grasp the nature of entropy only to find as they delve deeper that grasp slips away.  In the deeper analysis of thermodynamic systems via statistical mechanics this grasp may slip away entirely. “How can my cup of hot…