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Mathematical Formula Handbook - 國立臺灣大學

ContentsIntroduction..1 Bibliography; ..2 ArithmeticandGeometricprogressions;Conve rgenceof series:theratiotest;Convergenceof series:thecomparisontest;Binomialexpansi on;TaylorandMaclaurinSeries;Powerseriesw ithrealvariables;Integerseries; ..3 Scalarproduct; Equationof a line; Equationof a plane; Vectorproduct; Scalartripleproduct;Vectortripleproduct; Non-orthogonalbasis; ..5 Unitmatrices;Products; Transposematrices; Inversematrices;Determinants; 2 2 matrices;Productrules; Orthogonalmatrices;Solvingsetsof linearsimultaneousequations; Hermitianmatrices;Eigenvaluesandeigenvec tors;Commutators;Hermitianalgebra; ..7 Notation; Identities;Grad,Div, CurlandtheLaplacian; Transformationof ..9 Complexnumbers; DeMoivre's theorem; ..10 Relationsbetweensidesandanglesof anyplanetriangle;Relationsbetweensidesan danglesof.

where Pl(cos ) are Legendre polynomials (see section 11) and jl(kr) are spherical Bessel functions, dened by j l(ˆ) = r ˇ 2ˆ J +1= 2 (ˆ), with Jl(x)the Bessel function of order l (see section 11). 2. Vector Algebra If i, j, k are orthonormal vectors and A = Axi + A yj + Azk then jAj 2= A x + A + Az. [Orthonormal vectors orthogonal unit ...

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  Functions, Orthogonal, Bessel functions, Bessel

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