The efficiency factors $Q_{\text{ext}}$ and  $Q_{\text{scat}}$  of the core-mantle grains in the infrared region 2 - 3.4 $\mu$

Jan Svatoš; Zdeněk Sekanina

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For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n|AB|n=|CDn||BDn|,|AB|n|BC|n=|AEn||CEn|,|BC|n|AC|n=|BFn||AFn|. $\frac{{|A C|}^{n}}{{|A B|}^{n}} = \frac{|C D_{n}|}{|B D_{n}|}, \frac{{|A B|}^{n}}{{|B C|}^{n}} = \frac{|A E_{n}|}{|C E_{n}|}, \frac{{|B C|}^{n}}{{|A C|}^{n}} = \frac{|B F_{n}|}{|A F_{n}|} .$ Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.

Erratum

(1993)

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It is shown that any power $A^{n}, n \geq 2$ , of a finite $k$ -element algebra $A, k \geq 2$ , has factorable tolerances whenever the power $A^{4 k^{2} - 3 k}$ has the same property.

Further Generalization of Kobayashi's Gamma Function

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Revista Matemática de la Universidad Complutense de Madrid

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In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.