scholarly journals The Exact Evaluation of Some New Lattice Sums

Symmetry ◽  
2017 ◽  
Vol 9 (12) ◽  
pp. 314 ◽  
Author(s):  
I. Zucker
Keyword(s):  
Lattice Sums ◽  
Exact Evaluation

scholarly journals The Exact Evaluation of Some New Lattice Sums

2017 ◽  
Author(s):  
John Zucker
Keyword(s):  
Lattice Sums ◽  
Exact Evaluation

New q-series in the spirit of Jacobi have been found in a publication rst published in 1884 written in Russian and translated into English in 1928. This work was found by chance and appears to be almost totally unknown. From these entirely new q-series, fresh lattice sums have been discovered and are presented here.

scholarly journals Technical Note: Coccygeal vein catheterization for sampling of reproductive tract-derived products from the uterine–ovarian drainage

2021 ◽  
Vol 99 (2) ◽  
Author(s):  
Sydney T Reese ◽  
Gessica A Franco ◽  
Ramiro V Oliveira Filho ◽  
Reinaldo F Cooke ◽  
Michael F Smith ◽  
...  
Keyword(s):  
General Circulation ◽  
Reproductive Tract ◽  
Jugular Vein ◽  
Vena Cava ◽  
Technical Note ◽  
Sample Collection ◽  
Major Consequence ◽  
Exact Evaluation ◽  
Reproductive Processes ◽  
Vein Catheterization

Abstract Blood sample collection from the caudal vena cava at the site of uterine–ovarian drainage provides a more exact evaluation of the concentration and pattern of secretion of uterine or ovarian secreted products for studies of reproductive processes in cyclic and pregnant cattle compared with samples collected from general circulation. This paper describes a thorough and updated procedure for cannulating the coccygeal vein into the caudal vena cava for the collection of serial blood samples at or near the site of uterine–ovarian drainage. Concentrations of progesterone were quantified in cows of different reproductive tract sizes with an active corpus luteum to assess the distance for proper catheter placement compared with circulating concentrations collected from the jugular vein. This procedure has a low risk for side effects, can be used effectively in pregnant animals with no major consequence to the viability of the pregnancy, and provides means for frequent collections up to 12 d.

scholarly journals On the calculation of lattice sums

Physica ◽  
1957 ◽  
Vol 23 (1-5) ◽  
pp. 309-321 ◽  
Author(s):  
B.R.A. Nijboer ◽  
F.W. De Wette
Keyword(s):  
Lattice Sums

Exact Evaluation of Tricomi's Transonic Approximation

1964 ◽  
Vol 7 (11) ◽  
pp. 1772
Author(s):  
E. V. Laitone
Keyword(s):  
Exact Evaluation

Green's tensors and lattice sums for electrostatics and elastodynamics

1997 ◽  
Vol 453 (1958) ◽  
pp. 643-662 ◽  
Author(s):  
A. B. Movchan ◽  
N. A. Nicorovici ◽  
R. C. McPhedran
Keyword(s):  
Lattice Sums

Some simple theorems concerning crystal lattice sums of electric potential, electric field, and electric field gradient in crystals

1967 ◽  
Vol 20 (12) ◽  
pp. 2551 ◽  
Author(s):  
CK Coogan
Keyword(s):  
Electric Field ◽  
Field Gradient ◽  
Electric Potential ◽  
Higher Symmetry ◽  
Lattice Sums ◽  
Symmetry Properties ◽  
Lattice Sum ◽  
Direct Lattice ◽  
Electric Potential Field ◽  
Conver Gence

The conditions under which direct lattice sums of electric potential, field, and field gradient converge are discussed. The analogous conditions under which differences in these lattice sums, for two points in the crystal, converge are also outlined. These conditions are applied to direct lattice sum calculations in crystals in which the ideal lattice is distorted close to a defect of some kind. The conver- gence conditions are then applied to the case of determining the direct lattice sums in crystals in which higher symmetry properties can be invoked, which leads to a knowledge by inspection of the lattice sum at one point in the unit cell.

Linear Dependence of Lattice Sums

1958 ◽  
Vol 110 (1-6) ◽  
pp. 112-126 ◽  
Author(s):  
Pinhas Naor
Keyword(s):  
Linear Dependence ◽  
Lattice Sums

Lattice sums arising from the Poisson equation

2013 ◽  
Vol 46 (11) ◽  
pp. 115201 ◽  
Author(s):  
D H Bailey ◽  
J M Borwein ◽  
R E Crandall ◽  
I J Zucker
Keyword(s):  
Poisson Equation ◽  
Lattice Sums ◽  
The Poisson Equation
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