2. C (H, E, B) is a function of the values Pr (X | B) and Pr (Y | Z ∩B) assume on the at most 16 truth-functional combinations X, Y, Z of E and H . 3a. If Pr (E | H ∩B) < Pr (F | H ∩B) and Pr (E | B) = Pr (F | B), then C (H, E, B) ≤ C (H, F, B). 3b. If Pr (E | H ∩B) = Pr (F | H ∩B) and Pr (E | B) < Pr (F | B), then C (H, E, B) ≥ C (H, F, B). 4a. C (H, E ∩ F, B)−C (H, E ∩G, B) is determined by C...

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 < ...