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- W2964047729 abstract "We consider extensions of the Rattray theorem and two Makeev's theorems, showing that they hold for several maps, measures, or functions simultaneously, when we consider orthonormal $k$-frames in $mathbb{R}^n$ instead of orthonormal bases (full frames).We also present new results on simultaneous partition of several measures into parts by $k$ mutually orthogonal hyperplanes.In the case $k=2$ we relate the Rattray and Makeev type results with the well known embedding problem for projective spaces." @default.
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- W2964047729 date "2012-04-23" @default.
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- W2964047729 title "Extensions of theorems of Rattray and Makeev" @default.
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