Common Hyperplane Medians for Random Vectors

  title={Common Hyperplane Medians for Random Vectors},
  author={Theodore P. Hill},
xpm -x and necessarily splits in K[X] into distinct first degree factors so that Da is diagonalizable. Applying this to Dg, for Ek = {x: [g, x] = kx}, we have Eo K and D = YEk, where the sum is direct and taken over all k E K with Ek # 0. Now, if x E D *, gx xg kx for some k E K is equivalent to requiring that x belong to N *. Moreover, y E Ek is equivalent to y E Kx. Then each Ek is a K-subspace of dimension 1 and Ek* ig the coset K *x in N *. Hence, dimKD = q. From the structure of finite… CONTINUE READING

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Drei Saitze uber die n-dimensionale uklidische Sphare

K. Borsuk
Fund. Math., • 1933
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