It has been noticed that all the known binary sequences having the asymptotic merit factor ≥ 6 are the modifications to the real primitive characters. In this paper, we give a new modification of the character sequences at length N = p1p2 . . . pr, where pi’s are distinct odd primes and r is finite. Based on these new modifications, for N = p1p2 . . . pr with pi’s distinct odd primes, we can co...

The absolute value of the Möbius function of a bounded poset P with n + 2 elements satisfies |μ(P )| ≤ max r≥0 max p1+...+pr=n pi≥1 r ∏

This article takes its name and inspiration from Mad Professor’s album A Caribbean Taste of Technology in response to the theme of this Technosphere issue. This makes a good place to start a discussion of creolization and technology – the dub reggae tracks of this album produced British producer Mad Professor and released in 1985, https://www.youtube.com/watch?v=ewDTHfJqLwI So what I present he...

We discovered a 1,3-dipolar species co-existing in two different structures. Photolysis of matrix-isolated 5-phenyltetrazole generates two forms of phenylnitrile imine: propargylic and allenic. They are not resonance structures but correspond to different energy minima, representing bond-shift isomers. These distinct species were characterized spectroscopically and confirmed by calculations up ...

1 pi − 2 j+1 > 7pr − 4pr > pr . If r is odd, set nk = ∏r1 pi − 2k+1. Then nk ≡ 3(4) (since 32 ≡ 1(4)). But no pi divides nk for 1 ≤ i ≤ r , so the integer nk has some prime factor qk ≡ 3(4) with qk > pr . If j = k, say j > k, the assumption that qk also divides n j leads to the same contradiction as earlier: since nk − n j = 2 j+1 − 2k+1 = 2k+1(2 j−k − 1), we have qk | 2 j−k − 1 and hence qk < ...

Background: Matrix MetalloProteinases (MMPs) degrade extracellular matrix components to provide normal remodeling and contribute to pathological tissue destruction and cell migration in endometriosis. It is accepted that MMPs are resistant to suppression by progesterone in endometriotic tissues. The physiological effects of progesterone are mediated by its two progesterone receptor (PR) isoform...