Intuitively, if two strings S1 and S2 are sufficiently similar and we already have an FM-index for S1 then, by storing a little extra information, we should be able to reuse parts of that index in an FM-index for S2. We formalize this intuition and show that it can lead to significant space savings in practice, as well as to some interesting theoretical problems.

In this work we study how the small contribution of inner crust to total equation state (EoS) a neutron star affects its mass-radius relation, focusing on canonical mass 1.4$M_\odot$. We build empirical EoS kind - $p = K\epsilon^{\gamma} + b$ in range 0.003 fm$^{-3}~<~n~<~$0.08 fm$^{-3}$ and also calculate speed sound region. see that different behaviours can affect radius by more than 1.1 km. ...

A method of digital sound synthesis, double frequency modulation (DFM), is defined in terms of two modulating frequencies. Its spectral equation is derived and the harmonic spacing shown to be dependent on the ratio of the two frequencies. The real-time generation of musical sounds by DFM is demonstrated. DFM offers superior control of harmonic envelopes than simple FM, but with less computatio...

Let σk(n) be the sum of the kth powers of the divisors of n. Here, we prove that if (Fn)n≥1 is the Fibonacci sequence, then the only solutions of the equation σk(Fm) = Fn in positive integers k ≥ 2, m and n have k = 2 and m ∈ {1, 2, 3}. The proof uses linear forms in two and three logarithms, lattice basis reduction, and some elementary considerations.

Quasi-static interferometric signals in lasers under feedback arise from slowly varying perturbations of the intracavity electric field resulting from the reinjection of a portion of the emitted field into the cavity. Such interferometric signals are well described by the steady-state solution to the Lang-Kobayashi rate equation model. We give an exact series expansion for this steady-state sol...

Nucleon-nucleon (NN) interactions are well constrained for relative momenta k 2 fm−1 by existing scattering data [1]. The model dependences for larger momenta can be seen, for instance, in the P2 superfluid pairing gaps for Fermi momenta kF > 2 fm−1 [2]. In Ref. [3], we study in detail the dependence of the S0 superfluid gap on nuclear interactions at the BCS level, and on the resolution scale....

This paper concerns with the following linear programming problem: Maximize ctx, subject to Ax ≦ b and x ≧ 0, where A ∈ Fm×n, b ∈ Fm and c, x ∈ Fn. Here, F is a set of floating point numbers. The aim of this paper is to propose a numerical method of including an optimum point of this linear programming problem provided that a good approximation of an optimum point is given. The proposed method ...

We study the topological content of the vacuum of SU (2) pure gauge theory using lattice simulations. We use a smoothing process based on the renormalization group equation which removes short distance fluctuations but preserves long distance structure. The action of the smoothed configurations is dominated by instantons, but they still show an area law for Wilson loops with a string tension eq...

Introduction: The purpose of this study was to compare body composition assessed by bioimpedance analysis (BIA) against deuterium dilution (D2O) techniques. Methods: This study was conducted on 215 young Syrian adults. Total body water (TBW), fat free mass (FFM) and fat mass (FM) compartments were calculated from the measurements of resistance made at 50 kHZ using the formula provided by the in...