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It is shown that on closed disks D around the origin in the complex plane and for every integer m ≥ 2, not every continuous function on D can be approximated uniformly on D by polynomials in zm and <img height="31" border="0" style="vertical-align:bottom" width="89" alt="" title="" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-0019357796817617-si1.gif">.
Arrow’s theorem is based on two “vertical” aggregation conditions expressed in terms of the relative positions of two alternatives in a preference ranking. This note obtains the same result Nike Free Run 5.0 Canada for the strict preference case using instead two “horizontal” aggregation conditions expressed in terms of the absolute position of an alternative in a preference ranking.
By means of a quantum analogue of the Specht–Wever criteria we prove that every homogeneous character Hopf algebra over a field of zero characteristic is a quantification of a suitable Lie algebra. The skew primitive elements in character Hopf algebras are characterized in terms of algebraic identities.
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