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Along two different proofs of a double-sum identity involving binomial coefficients this paper raises some questions of general character concerning computer-assisted treatment of the given double sum and of identities of similar type. ...

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Using multiplicities of eigenvalues of elliptic self-adjoint differential operators on graphs and transversality, we construct some new invariants of graphs which are related to tree-width. A convenient procedure for the synthesis of v...

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Histocompatibility antigens (HLA-A,B,C,DR, and DQ antigens) were investigated in 25 Japanese patients with the Crow-Fukase syndrome (Takatsuki's disease). No significant associations were detected New Balance Minimus Womens Canada betwe...

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An O(n) algorithm for finding an optimal position with relative distances in an evolutionary tree is presented in this paper. The optimality of position is defined by minimum incremental distance under L∝-norm. The algorithm can also ...

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The i.r. spectra of several 4,4-dimethyl cyclohexanones have been investigated in the 1500-1350 cm−1 range. Assignments of the CH3 scissors vibrations are discussed on the basis of the previously reported data in the aliphatic and ali...

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