1. A function is arithmetic if it is defined on the positive integers. Those arithmetic functions which assume real values and satisfy f(ab)-f(a)+f(b) for mutually prime integers a, b are classically called additive. The following examples illustrate the interest of these functions, both for themselves and for their applications. An additive function is defined by its values on the prime powers...

polymer-graphite powder composite behaves as a low-conductive material which can be used as an automatic fuse for adhesive connector in electrical circuits. the conductivity of this composite, below its transition temperature, tt, depends on concentration of carbon powder, slowly decreases as the temperature increases. meanwhile, the electrical resistivity of this material in transition tempera...

For an arbitrary real number α with convergents p0 q0 , p1 q1 , p2 q2 , . . . , b(n+ qi)αc − bnαc is equal to pi, and so is independent of n, except at a small specified number of values of n. For fixed n, this relation holds for all or for all except a finite number of values of i.

This study evaluated whether weights for spectral-shape discrimination depend on overall stimulus level and signal strength (the degree of spectral-shape change between two stimuli). Five listeners discriminated between standard stimuli that were the sum of six equal-amplitude tones and signal stimuli created by decreasing the amplitudes of three low-frequency components and increasing the ampl...

OBJECTIVE To perform an exploratory analysis of the relative contribution of single MHC genes to the pathogenesis of systemic lupus erythematosus (SLE) in a homogenous white population. METHODS MHC class II alleles and C4 allotypes were determined in 64 SLE patients and in ethnically matched controls. HLA-DR and DQ typing was performed by polymerase chain reaction amplification with sequence ...

We study the complexity of inverting many-one, honest, polynomial-time computable onto functions. Asserting that every polynomial-time computable, honest, onto function is invertible is equivalent to the following proposition that we call Q: For all NP machines M that accept , there exists a polynomial-time computable function gM such that for all x, gM(x) outputs an accepting computation of M ...

mixed convection fluid flow and heat transfer of water-al2o3 nanofluid inside a lid-driven square cavity has been examined numerically in order to find the optimal distribution of discrete heat sources on the wall of a cavity. the effects of different heat source length, richardson number and grashof number on optimal heat source location has been investigated. moreover, the average nusselt num...

Ultra-low frequency photocurrent (PC) self-oscillation has been investigated in a In0.15Ga0.85As/Al0.15Ga0.85As quantum-well (QW) diode in details as a function of temperature, excitation power and wavelength. The PC oscillation frequency increases with increasing temperature and illumination power at excitation wavelengths below the leading n = 1 heavy-hole exciton resonance line under reverse...