scholarly journals Moments of Any Rational Integral Isobaric Sample Moment Function

1937 ◽  
Vol 8 (1) ◽  
pp. 21-65 ◽  
Author(s):  
Paul S. Dwyer
2021 ◽  
Vol 1802 (4) ◽  
pp. 042086
Author(s):  
Hongpeng Li ◽  
Chen Xia ◽  
Feilong Li ◽  
Jun Yin ◽  
Xiaoliang Wang ◽  
...  

Author(s):  
H. J. Godwin

The determination of a pair of fundamental units in a totally real cubic field involves two operations—finding a pair of independent units (i.e. such that neither is a power of the other) and from these a pair of fundamental units (i.e. a pair ε1; ε2 such that every unit of the field is of the form with rational integral m, n). The first operation may be accomplished by exploring regions of the integral lattice in which two conjugates are small or else by factorizing small primes and comparing different factorizations—a trial-and-error method, but often a quick one. The second operation is accomplished by obtaining inequalities which must be satisfied by a fundamental unit and its conjugates and finding whether or not a unit exists satisfying these inequalities. Recently Billevitch ((1), (2)) has given a method, of the nature of an extension of the first method mentioned above, which involves less work on the second operation but no less on the first.


1957 ◽  
Vol 26 (6) ◽  
pp. 1671-1677 ◽  
Author(s):  
William S. Benedict ◽  
Robert Herman ◽  
Gordon E. Moore ◽  
Shirleigh Silverman

1981 ◽  
Vol 44 (1) ◽  
pp. 111-123 ◽  
Author(s):  
Hans-Joachim Werner

1977 ◽  
Vol 32 (8) ◽  
pp. 897-898 ◽  
Author(s):  
Y. K. Chan ◽  
B. S. Rao

Abstract The radial Schrödinger wave equation with Morse potential function is solved for HF molecule. The resulting vibration-rotation eigenfunctions are then used to compute the matrix elements of (r - re)n. These are combined with the experimental values of the electric dipole matrix elements to calculate the dipole moment coefficients, M 1 and M 2.


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