A+A = {ai + aj : ai, aj ∈ A}, A−A = {ai − aj : ai, aj ∈ A}, A +̂A = {ai + aj : ai, aj ∈ A and ai 6= aj} respectively. Here we refer to sets A with |A+A| > |A−A| as sum-dominant (some authors use the term MSTD, for more sums than differences sets). Though the fact that addition is commutative but subtraction usually is not might naively suggest that sum-dominant sets are rare if they exist at all...

We present a comparison of the gas and dust properties of the dense interstellar matter in six nearby star−forming regions (d <500 pc): ρ Oph, Cha I, R CrA, IC 348, NGC 1333, and Orion. We measure from Chandra and XMM−Newton observations the X-ray absorption toward pre-main sequence stars (PMS) without accretion disks (i.e., Class III sources) to obtain the total hydrogen column density NH,X. F...

Definition 1. Given a vector |v〉 ∈ H, by a Schmidt decomposition across the (i, i + 1) cut we shall mean a decomposition |v〉 = ∑j=1 λj|aj〉|bj〉 with {|aj〉} (respectively {|bj〉} ) a family of orthonormal vectors of H[1,i] (respectively H[i+1,n]) and with λj ≥ λj+1 > 0 for all 1 ≤ j ≤ D. The vectors |aj〉 will be called the left Schmidt vectors across that cut, and the vectors |bj〉 the right Schmid...

Let s,t be two given real numbers, s = t and m ∈ N . We determine the coefficients aj(s,t) in the asymptotic expansion of integral (or differential) mean of polygamma functions ψ (m)(x) : 1 t− s ∫ t s ψ (m)(x+u)du ∼ ψ (m) ( x ∞ ∑ j=0 aj(s,t) x j ) , x → ∞. We derive the recursive relations for polynomials aj(t,s) , and also as polynomials in intrinsic variables α = 2 (s + t − 1) , β = 4 [1− (t ...

Strains of the bacterium, Corynebacterium glutamicum, are widely used for the industrial production of L-glutamic acid and various other substances. C. glutamicum ssp. lactofermentum AJ 1511, formerly classified as Brevibacterium lactofermentum, and the closely related C. glutamicum ATCC 13032 have been used as industrial strains for more than 50 years. We determined the whole genome sequence o...

This paper considers spectrally efficient anti-jamming system design based on message-driven frequency hopping (MDFH). As a highly efficient frequency hopping scheme, MDFH is particularly robust under strong jamming. However, disguised jamming from sources of similar power strength can cause performance losses. To overcome this drawback, in this paper, we first propose an anti-jamming MDFH (AJ-...

k=1 |ak|, in which C = (cj,k) and the parameter p are assumed fixed (p > 1), and the estimate is to hold for all complex sequences a. The lp operator norm of C is then defined as the p-th root of the smallest value of the constant U : ||C||p,p = U 1 p . Hardy’s inequality thus asserts that the Cesáro matrix operator C, given by cj,k = 1/j, k ≤ j and 0 otherwise, is bounded on lp and has norm ≤ ...

Once adherens junctions (AJs) are formed between polarized epithelial cells they must be maintained because AJs are constantly remodeled in dynamic epithelia. AJ maintenance involves endocytosis and subsequent recycling of E-cadherin to a precise location along the basolateral membrane. In the Drosophila pupal eye epithelium, Rho1 GTPase regulates AJ remodeling through Drosophila E-cadherin (DE...

Existence of positive solutions for the nonlinear fractional differential equation Dsu(x) = f (x,u(x)), 0 < s < 1, has been studied (S. Zhang, J. Math. Anal. Appl. 252 (2000) 804–812), where Ds denotes Riemann–Liouville fractional derivative. In the present work we study existence of positive solutions in case of the nonlinear fractional differential equation: L(D)u= f (x,u), u(0)= 0, 0 < x < 1...

Tuberculosis (TB) is an infectious disease caused by different species of the genus Mycobacte‐ ria. Together with human immunodeficiency virus infection (HIV)/Acquired Immunodefi‐ ciency Syndrome (AIDS) and malaria, tuberculosis is one of the biggest killers in the Word (Rodríguez-Morales AJ et al 2008, Murcia-Aranguren MI et al 2001). Human disease is usu‐ ally caused by Mycobacterium tubercul...