We investigate inference of variable-length codes in other domains computer science, such as noisy information transmission or retrieval-storage: topics, traditionally mostly constant-length codewords act. The study is relied upon the two concepts independent and closed sets: given an alphabet A a binary relation τ⊆A⁎×A⁎, set X⊆A⁎ τ-independent if τ(X)∩X=∅; X τ-closed τ(X)⊆X. focus to those wor...

CP violation from physics beyond the Standard Model (SM) is investigated in the Cabbibo-suppressed decay τ → Kπν τ with polarized τ leptons, to which both the J P = 1 − resonance K * and the J P = 0 + resonance K * 0 contribute. In addition to the CP-odd rate asymmetry, τ polarization enables us to construct three additional CP-odd polarization asymmetries that can be enhanced due to the interf...

1. Prove the results about the smoothness of the members of the Matèrn family. Proof. From the class we know that for small values of τ , we have K ν (τ) ≈ Γ(ν)2 ν−1 τ −ν. Also, for the derivatives we have that d dτ (τ ν K ν (τ)) = −τ ν K ν−1 (τ). If the Matèrn family has the correlation function ρ(τ) = 1 Γ(ν)2 ν−1 τ ν K ν (τ), then ρ (τ) = −1 Γ(ν)2 ν−1 τ ν K ν−1 (τ) Note that K ν (τ) = K −ν (τ...

The edge tenacity Te(G) of a graph G is dened as:Te(G) = min {[|X|+τ(G-X)]/[ω(G-X)-1]|X ⊆ E(G) and ω(G-X) > 1} where the minimum is taken over every edge-cutset X that separates G into ω(G - X) components, and by τ(G - X) we denote the order of a largest component of G. The objective of this paper is to determine this quantity for split graphs. Let G = (Z; I; E) be a noncomplete connected split...

     The composition of essential oil of leaves of the male and female shrubs of Juniperus chinensis L. (growing in Isfahan) was analyzed by gas choromatography(GC) and GC-mass spectrometery (MS). The main constituents of leaf oil of the male shrub were: bornyl acetate (26.1%), sabinene (18.3%), trans-sabinyl acetate (11.1%), myrcene (9.2%), lim...