1-type and biharmonic curves by using laplace operator in lorentzian 3-space arestudied and some theorems and characterizations are given for these curves.

in this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of ratz.

In this paper, we study different classes of intersection graphs of maximal hypercubes of median graphs. For a median graph G and k ≥ 0, the intersection graph Qk(G) is defined as the graph whose vertices are maximal hypercubes (by inclusion) in G, and two vertices Hx and Hy in Qk(G) are adjacent whenever the intersection Hx ∩ Hy contains a subgraph isomorphic to Qk. Characterizations of clique...

The Korotkoff sound appearance time (QK intervals) was measured in 224 normal subjects of both sexes between the age of 6 and 79 years. The sex difference was not obvious except for the diastolic values of the intervals (QKd) in the sixth decade. Although the QK intervals remained almost unchanged between the third and the fifth decade, both the systolic (QKs) and the diastolic values were sign...

proof E is a Borel set: for each n ∈ N, On is open as the union of open sets. Therefore E is the countable intersection of open sets, thus is a Borel set. E is of the second category: we first prove that O n is nowhere dense. Indeed, we have for all qk ∈ Q, B(qk, 1 n2k ) ⊂ On, thus qk ∈ int(On). Therefore Q ⊆ int(On), therefore R = cl(Q) ⊆ cl(int(On)), i.e. cl(int(On)) = R. Taking complements, ...

Atom trapping and cooling using optical lattices is reviewed. A general theory and an example of a one-dimensional lattice is discussed. Some experimental achievements in the field are reviewed. PACS numbers: 32.80.Pj, 32.80.Qk Typeset using REVTEX