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1: 1.6 Vectors and Vector-Valued Functions
Green’s Theorem (for Volume)
2: 10.73 Physical Applications
Accordingly, the spherical Bessel functions appear in all problems in three dimensions with spherical symmetry involving the scattering of electromagnetic radiation. …
3: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
which appear in the quantum theory of binding or scattering of a particle in a spherically symmetric potential V ( r ) in three dimensions, and where r [ 0 , ) . …
4: 22.19 Physical Applications
Classical motion in one dimension is described by Newton’s equation … For β real and positive, three of the four possible combinations of signs give rise to bounded oscillatory motions. …The subsequent position as a function of time, x ( t ) , for the three cases is given with results expressed in terms of a and the dimensionless parameter η = 1 2 β a 2 . …
5: 1.2 Elementary Algebra
For matrices 𝐀 , 𝐁 and 𝐂 of the same dimensions, … distributive if 𝐁 and 𝐂 have the same dimensionsThe dot product notation 𝐮 𝐯 is reserved for the physical three-dimensional vectors of (1.6.2). …