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Classical Plate Equation Notes The small transverse (out-of-plane) displacement w of a thin plate is governed by the Classical Plate Equation, where p is the distributed load (force per unit area) acting in the same direction as z (and w), and D is the bending/flexual rigidity of the plate defined as follows, in which E is the Young’s modulus, is the Poisson’s ratio of the plate material, … Read more
Definition and Properties of Boolean Algebra Notes Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation. The rigorous concept is that of a certain kind of algebra, analogous to the mathematical notion of a group. This concept has roots and applications in … Read more
Biot Savart Law Notes The magnetic equivalent of Coulomb’s law is the Biot-Savart law for the magnetic field produced by a short segment of wire, , carrying current I: where the direction of is in the direction of the current and where the vector points from the short segment of current to the observation point where we are to compute the … Read more