Test of the Multiple Dipole Array as an Inverse Generator, Based on Accurately Determined Model Data1

2015 ◽  
pp. 217-223 ◽  
Author(s):  
R. E. Ideker ◽  
J. W. Cox ◽  
F. W. Keller ◽  
D. A. Brody
Keyword(s):  
Inverse Generator

scholarly journals Inverses of generators of integrated fractional resolvent operator functions

2018 ◽  
Vol 21 (6) ◽  
pp. 1542-1564
Author(s):  
Miao Li ◽  
Javier Pastor ◽  
Sergey Piskarev
Keyword(s):  
Resolvent Operator ◽  
Operator Function ◽  
Bessel Functions ◽  
Inverse Operator ◽  
Optimal Decay ◽  
Optimal Decay Rate ◽  
Operator Functions ◽  
Inverse Generator ◽  
Analytic Resolvent ◽  
Fractional Cauchy Problem

Abstract This paper is devoted to the inverse generator problem in the setting of generators of integrated resolvent operator functions. It is shown that if the operator A is the generator of a tempered β-times integrated α-resolvent operator function ((α, β)-ROF) and it is injective, then the inverse operator A−1 is the generator of a tempered (α, γ)-ROF for all γ > β + 1/2, by means of an explicit representation of the integrated resolvent operator function based in Bessel functions of first kind. Analytic resolvent operator functions are also considered, showing that A−1 is in addition the generator of a tempered (δ, 0)-ROF for all δ < α. Moreover, the optimal decay rate of (α, β)-ROFs as t → ∞ is given. These result are applied to fractional Cauchy problem unsolved in the fractional derivative.

225Ac/213Bi generator based on inorganic sorbents

2019 ◽  
Vol 107 (12) ◽  
pp. 1203-1211 ◽  
Author(s):  
Aleksandr N. Vasiliev ◽  
Stanislav V. Ermolaev ◽  
Elena V. Lapshina ◽  
Boris L. Zhuikov ◽  
Nikolay D. Betenekov
Keyword(s):  
Processing Time ◽  
High Yield ◽  
Inorganic Sorbent ◽  
Inverse Generator ◽  
High Degree ◽  
Degree Of Purification

Abstract A scheme of an “inverse” generator based on an inorganic sorbent (annealed zirconium and yttrium mixture oxides) has been proposed and tested. The generator demonstrated high yield of the 213Bi product (up to 97 % in 0.5 mL of eluate), high degree of purification from the actinium isotopes (up to 10−2 % of initial 225Ac in 3 M NaNO3 solution), as well as the products of 227Ac decay, and low radiation impact on the sorbent. Application of circulating approach to the sorption of 213Bi provides decreasing processing time to 5 min at higher yield of the product.

Test of the Multiple Dipole Array as an Inverse Generator, Based on Data from Isolated Rabbit Hearts1

2015 ◽  
pp. 224-229 ◽  
Author(s):  
R. E. Ideker ◽  
F. W. Keller ◽  
J. W. Cox ◽  
H. A. Phillips ◽  
D. A. Brody
Keyword(s):  
Inverse Generator
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