Testing Pulse Timing Devices Using Arbitrary Function Generators

2020 ◽  
Vol 54 (5) ◽  
pp. 466-473
Author(s):  
V. A. Bespal’ko ◽  
I. Burak ◽  
A. S. Rybakov
Keyword(s):  
Arbitrary Function ◽  
Pulse Timing ◽  
Function Generators

scholarly journals Speeds of Sound in Methanol at Temperatures from 233.33 to 353.21 K at Pressures up to 20 MPa

2021 ◽  
Vol 42 (5) ◽  
Author(s):  
Christian W. Scholz ◽  
Roland Span
Keyword(s):  
Equation Of State ◽  
Path Length ◽  
Speeds Of Sound ◽  
Pulse Timing ◽  
Combined Uncertainty ◽  
Pulse Echo

AbstractWe report experimental speeds of sound in methanol. Measurements were conducted at temperatures from 233 to 353 K with pressures up to 20 MPa using the double-path length pulse-echo technique. The relative expanded combined uncertainty (k = 2) in measurement was estimated to vary from 0.012 to 0.014%, considering contributions from temperature, pressure, path length calibration, pulse timing, and purity of the sample. Experimental speeds of sound gained in the scope of this work were compared with the equation of state by de Reuck and Craven, as well as with further data from literature.

scholarly journals Reducing a Class of Two-Dimensional Integrals to One-Dimension with an Application to Gaussian Transforms

Atoms ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 53
Author(s):  
Jack C. Straton
Keyword(s):  
Quantum Theory ◽  
Arbitrary Function ◽  
Plane Waves ◽  
Wave Functions ◽  
One Dimension ◽  
Two Dimensional ◽  
Transition Amplitudes ◽  
Multidimensional Integrals ◽  
Coulomb Potentials

Quantum theory is awash in multidimensional integrals that contain exponentials in the integration variables, their inverses, and inverse polynomials of those variables. The present paper introduces a means to reduce pairs of such integrals to one dimension when the integrand contains powers multiplied by an arbitrary function of xy/(x+y) multiplying various combinations of exponentials. In some cases these exponentials arise directly from transition-amplitudes involving products of plane waves, hydrogenic wave functions, and Yukawa and/or Coulomb potentials. In other cases these exponentials arise from Gaussian transforms of such functions.

Effects of pulse timing parameters on bulk Erbium laser operation in the eyesafe region

2008 ◽  
Author(s):  
E. Georgiou ◽  
N. Lazarides ◽  
O. Musset ◽  
J. P. Boquillon
Keyword(s):  
Laser Operation ◽  
Erbium Laser ◽  
Pulse Timing

XXIII.— Dual Series Relations. V. A Generalized Schlömilch Series and the Uniqueness of the Solution of Dual Equations involving Trigonometric Series

1964 ◽  
Vol 66 (4) ◽  
pp. 258-268
Author(s):  
R. P. Srivastav
Keyword(s):  
Trigonometric Series ◽  
Arbitrary Function ◽  
Fractional Integration ◽  
Series Expansions ◽  
Uniqueness Of The Solution ◽  
Special Case

SynopsisThe methods employed in papers I–IV of this series are modified to provide the solution of certain dual equations involving trigonometric series. It is necessary to introduce a modified form of the conventional operators of fractional integration and to discuss their relation with generalized Schlömilch series expansions of an arbitrary function. These general methods are illustrated by detailed reference to a particular special case.

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