1,321 research outputs found

    Microelectrophoretic apparatus and process

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    New gel tray and lid assemblies designed for use in conjunction with slotted electrophoretic membranes were developed to take advantage of recently improved microelectrophoretic accessories which include a multisample applicator capable of applying up to 10 samples consecutively or simultaneously, and a temperature control plate for dissipating the heat produced by electrophoresis in a gel. The trays and membranes can be marketed ready for use as electrophoretic media or impregnated with various specific substrates and dye

    Matrix Valued Spherical Functions Associated to the Complex Projective Plane

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    The main purpose of this paper is to compute all irreducible spherical functions on G=\SU(3) of arbitrary type δ∈K^\delta\in \hat K, where K=S(U(2)×U(1))≃U(2)K={\mathrm{S}}(\mathrm{U}(2)\times\mathrm{U}(1))\simeq\mathrm{U}(2). This is accomplished by associating to a spherical function Φ\Phi on GG a matrix valued function HH on the complex projective plane P2(C)=G/KP_2(\mathbb{C})=G/K. It is well known that there is a fruitful connection between the hypergeometric function of Euler and Gauss and the spherical functions of trivial type associated to a rank one symmetric pair (G,K)(G,K). But the relation of spherical functions of types of dimension bigger than one with classical analysis, has not been worked out even in the case of an example of a rank one pair. The entries of HH are solutions of two systems of ordinary differential equations. There is no ready made approach to such a pair of systems, or even to a single system of this kind. In our case the situation is very favorable and the solution to this pair of systems can be exhibited explicitely in terms of a special class of generalized hypergeometric functions p+1Fp{}_{p+1}F_p.Comment: 70 pages, 1 figur

    Glamour

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    Suspension of State Insolvency Laws by Operation of the Federal Bankruptcy Act

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    The Supreme Court of Washington in the recent decision of Armour & Co. v. Becker et al., has again raised a question mooted since 1819, as to the effect of the existence of a Federal Bankruptcy Act on the operation of a State Insolvency Law. Under present conditions, the problem of the availability of liquidating devices becomes peculiarly important, and warrants an analysis of the existing law on the subject. In the instant case, the plaintiff sought to recover the sum of $293.14 for goods and merchandise delivered to defendant, who was running a meat market and purchased goods until December 18, 1929, when he became insolvent. Defendant then made an assignment for the benefit of his creditors to one Beeson, which assignment was made, under stipulated facts, strictly in accord with the insolvency statute of Washington. Plaintiff received a check as his pro rata share under this assignment, but did not negotiate it, and then brought this action for the original sum due, against both the defendant market owner and his guarantor, on the ground that the Federal Bankruptcy Act had rendered the assignment void or voidable, and that any creditor not having received payment in full would be entitled to ignore the assignment and proceed to collect his claim against the debtor and guarantor. The Supreme Court in affirming a judgment for the plaintiff, relied on the two cases of International Shoe Co. v. Pinkus, and Re Tarnowski
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