A remark to a problem of J. Mycielski on arithmetic sequences

A Remark on Parity Sequences

If n = 2, then the set j£ is closely related to the Fibonacci sequence; specifically, t GT2 iff the 7 term of the Fibonacci sequence is odd. We ask, for each w, which numbers are uniquely expressible as the sum of two distinct elements of Tn. In general, for any given w, one can determine exactly which numbers are uniquely expressible. If w = 2, it is easy to see that there are five such number...

1965i a Remark on an Arithmetic Theorem of Chevalley

A remark concerning graphical sequences

In “A note on a theorem of Erdös & Gallai” ([6]) one identifies the nonredundant inequalities in a characterization of graphical sequences. We explain how this result may be obtained directly from a simple geometrical observation involving weak majorization. A sequence of positive integers d1, d2, . . . , dp is called graphical if it is the degree sequence of a graph, i.e., there is a graph who...

constructing a test to predict the translation performance of english translation ma graduates on legal correspondence and deeds as a profession

regarding the ever evolving and improving world on different aspects of knowledge, the need to a worldwide communication would emerge stronger than ever before which calls for special attention on the judgments and best choices for intermediating between the nations. as the language skills for translation are tested separately from translation skills themselves, to assess translation skills pro...

A remark on the slicing problem

The purpose of this article is to describe a reduction of the slicing problem to the study of the parameter I1(K,Z ◦ q (K)) = ∫ K ‖〈·, x〉‖Lq(K)dx. We show that an upper bound of the form I1(K,Z ◦ q (K)) 6 C1q snL2K , with 1/2 6 s 6 1, leads to the estimate Ln 6 C2 4 √ n logn q 1−s 2 , where Ln := max{LK : K is an isotropic convex body inR}.