Equations from heat conduction and viscoelasticity are written as x′(t) = A [ x(t) + ∫ t 0 F (t− s)x(s)ds ] + f(t), t ≥ 0, x(0) = x0, (1) in a Banach space X, where A is a closed and densely defined operator and F (t) is a bounded operator for t ≥ 0. We obtain the equivalence between the resolvent operator of Eq.(1) and solutions of d dt 〈x(t), v〉 = 〈x(t) + ∫ t 0 F (t− s)x(s)ds,A∗v〉+ 〈f(t), v〉,...

This review intends to highlight the importance of resonances of the orbits of planets and asteroids in our Solar System. Besides the well known 5:2 mean motion resonance between Jupiter and Saturn, we discuss how secular resonances act, where the motions of the longitudes of the perihelia and/or the longitudes of the nodes are involved. Resonances are especially important for the motions of sm...

Mass Action in Cerebral Function: PROFESsoR K. S. Scientific Apparatus and Laboratory Methods: LASHLEY ..................................... 245 A New Singing Tube: DR. F. L. ROBESON. A Simple Microscope Eyepiece Pointer: JAMES A. Obituary: LOUNSBURY .......L..265 Ignatius Urban, Erik L. Ekman: PAUL C. STANDLEY. Recent Deaths ................ .................... 254 Special Articles: Observati...

The full set of published radial velocity data (52 measurements from Keck + 58 ones from ELODIE + 17 ones from CORALIE) for the star HD37124 is analysed. Two families of dynamically stable high-eccentricity orbital solutions for the planetary system were found. In the first one, the outer planets c and d are trapped in the 2/1 mean-motion resonance. The second family of solutions corresponds to...

-Rocket and satellite studies have demonstrated that nitric oxide (NO) in the thermosphere is almost always more abundant at higher than at lower latitudes. The ultraviolet nitric oxide spectrometer (UVNO) on the Atmosphere Explorer C (AE-C) spacecraft observed longitudinal asymmetries in thermospheric NO with greater abundances existing in the longitudinal sector associated with the magnetic p...

We report on new simulations of the transport of energetic protons originating from the decay of energetic neutrons produced in solar flares. Because the neutrons are fast-moving but insensitive to the solar wind magnetic field, the decay protons are produced over a wide region of space, and they should be detectable by current instruments over a broad range of longitudes for many hours after a...