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چکیده
b b b b b q b b b b b b b b SOURCE LOCALIZATION USING ADAPTIVE SUBSPACE BEAMFORMER OUTPUTS ABSTRACT 1. INTRODUCTION
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Resultant and Discriminant of Polynomials
This is a collection of classical results about resultants and discriminants for polynomials, compiled mainly for my own use. All results are well-known 19th century mathematics, but I have not investigated the history, and no references are given. 1. Resultant Definition 1.1. Let f(x) = anx n + · · ·+ a0 and g(x) = bmx + · · ·+ b0 be two polynomials of degrees (at most) n and m, respectively, ...
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A–1 The function g(x) = f (x,0) works. Substituting (x,y,z) = (0,0,0) into the given functional equation yields f (0,0) = 0, whence substituting (x,y,z) = (x,0,0) yields f (x,0) + f (0,x) = 0. Finally, substituting (x,y,z) = (x,y,0) yields f (x,y) = − f (y,0) − f (0,x) = g(x)−g(y). Remark: A similar argument shows that the possible functions g are precisely those of the form f (x,0) + c for som...
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