The current status of the software package PHASE for the propagation of coherent light pulses along a synchrotron radiation beamline is presented. PHASE is based on an asymptotic expansion of the Fresnel-Kirchhoff integral (stationary phase approximation) which is usually truncated at the 2 order. The limits of this approximation as well as possible extensions to higher orders are discussed. Th...

durbin's rank test is widely used for testing treatment effects in balanced incomplete block designs (bibds)which have wide applications in sensory analysis. this test is failed for bibds when ties data occur. an adjusted version of durbin rank test for this kind of data is given to solve this problem. chi-square approximation, which is commonly used for this test, is not adequate for small bib...

single-valence electron atoms are an important class of atoms. their oscillator strengths are their important properties. knowing the oscillator strengths one can easity calculate the transition probabilities of the spectral lines and hence the lifetimes of energy levels of most atoms. the oscillator strengths of the spectral lines of most atoms are not knoen with sufficient accuracy due to the...

[1] Scale and slope dependence of hydrologic response are investigated for two channel network source areas (unchanneled valleys) in the Oregon Coast Range. Observations of response to both natural and applied precipitation reveal that runoff occurred as subsurface flow in which water passed through partially saturated soil, into the shallow fractured bedrock, to emerge as subsurface partial so...

The diffraction slope parameter is investigated for elastic proton-proton and protonantiproton scattering based on the all available experimental data at intermediate square of momentum transfer in the main. Energy dependence of the elastic diffraction slope is approximated by various analytic functions in a model-independent fashion. The expanded standard logarithmic approximations allow to de...