Study of the oxygen-absorption coefficient in 5mm wave band is important for remote sensing of the atmospheric temperature profile from satellites or ground.In order to obtain the atmospheric temperature profile rapid...Study of the oxygen-absorption coefficient in 5mm wave band is important for remote sensing of the atmospheric temperature profile from satellites or ground.In order to obtain the atmospheric temperature profile rapidly and accurately,it is necessary to have a simple,but accurate formula of the oxygen-absorp- tion coefficient.In this paper,formulae of the oxygen-absorption coefficient in a certain range of tempera- ture-pressure and at a standard isobaric surface have been derived.These formulae may substitute for Meeks- Lilley formula in remote sensing of the atmosphere.展开更多
In the present work, the classical Bethe–Weizs?cker(BW) mass formula with five energy terms is revisited and updated. We use the least-squares adjustments on the binding energy of 2497 different nuclides from the las...In the present work, the classical Bethe–Weizs?cker(BW) mass formula with five energy terms is revisited and updated. We use the least-squares adjustments on the binding energy of 2497 different nuclides from the last update of the atomic mass evaluation,AME2016 published in March 2017, to provide a new set of energy coefficients of the mass formula. The obtained set of formula coefficients allowed us to reproduce most of the experimental values of the binding energies for each nucleus with A ≥50. The comparison between the binding energies provided with updated mass formula and those of AME2016 on the one hand, and those of previous works,on the other hand, yields relative errors that oscillate between less than 0.05% and 1.5%. The revisited BW formula is in very good agreement with the experimental data.展开更多
The Chebyshev polynomials are harnessed as functions of the one parameter of the nondimensionalized differential equation for trinomial homogeneous linear differential equations of arbitrary order n that have constant...The Chebyshev polynomials are harnessed as functions of the one parameter of the nondimensionalized differential equation for trinomial homogeneous linear differential equations of arbitrary order n that have constant coefficients and exhibit vibration. The use of the Chebyshev polynomials allows calculation of the analytic solutions for arbitrary n in terms of the orthogonal Chebyshev polynomials to provide a more stable solution form and natural sensitivity analysis in terms of one parameter and the initial conditions in 6n + 7 arithmetic operations and one square root.展开更多
文摘Study of the oxygen-absorption coefficient in 5mm wave band is important for remote sensing of the atmospheric temperature profile from satellites or ground.In order to obtain the atmospheric temperature profile rapidly and accurately,it is necessary to have a simple,but accurate formula of the oxygen-absorp- tion coefficient.In this paper,formulae of the oxygen-absorption coefficient in a certain range of tempera- ture-pressure and at a standard isobaric surface have been derived.These formulae may substitute for Meeks- Lilley formula in remote sensing of the atmosphere.
文摘In the present work, the classical Bethe–Weizs?cker(BW) mass formula with five energy terms is revisited and updated. We use the least-squares adjustments on the binding energy of 2497 different nuclides from the last update of the atomic mass evaluation,AME2016 published in March 2017, to provide a new set of energy coefficients of the mass formula. The obtained set of formula coefficients allowed us to reproduce most of the experimental values of the binding energies for each nucleus with A ≥50. The comparison between the binding energies provided with updated mass formula and those of AME2016 on the one hand, and those of previous works,on the other hand, yields relative errors that oscillate between less than 0.05% and 1.5%. The revisited BW formula is in very good agreement with the experimental data.
文摘The Chebyshev polynomials are harnessed as functions of the one parameter of the nondimensionalized differential equation for trinomial homogeneous linear differential equations of arbitrary order n that have constant coefficients and exhibit vibration. The use of the Chebyshev polynomials allows calculation of the analytic solutions for arbitrary n in terms of the orthogonal Chebyshev polynomials to provide a more stable solution form and natural sensitivity analysis in terms of one parameter and the initial conditions in 6n + 7 arithmetic operations and one square root.
