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- Leon Bernstein
- 2010

0. By the Perron matrices P. in an n-dimensional algorithm of the Jacobi-Perron type [1] we understand the analogue to the 2-dimensional matrices Pk-i \ built up from two consecutive "convergents" of an ordinary continued fraction.

- B L Goldblum, S G Prussin, L A Bernstein, W Younes, M Guttormsen, H T Nyhus
- 2010

The relative γ-decay probabilities of the 162 Dy to 161 Dy and 162 Dy to 164 Dy residual nuclei, produced using light-ion-induced direct reactions, were measured as a function of excitation energy using the CACTUS array at the Oslo Cyclotron Laboratory. The external surrogate ratio method (SRM) was used to convert these relative γ-decay probabilities into… (More)

- Leon Bernstein
- 1980

V&dldcitzd to Cant MmgoJt, on thz occcu-lon ol kiA SOtk bAJuthday. 0. Introduction This paper investigates some problems concerning PRIMITIVE PYTHAGOREAN TRIPLES (PPT) and succeeds in solving, completely or partially, some of these problems while leaving open others. Dickson [2], in his three-volume history of number theory has given a twenty-five-page… (More)

- Leon Bernstein
- 2010

By an invariant of a mathematical structure—a matrix, an equation, a field — w e usually understand a relation, or a formula emerging from that structure —which remains unaltered if certain operations are performed on this structure. An invariant is, so to speak, the calling card of some mathematical pattern, it is a fixed focus around which the infinite… (More)

- G Bekefi, B Coppi, R Gajewski, W P Allis, W M Manheimer, P A Politzer +17 others
- 2009

1. HARMONIC GENERATION BY AN ANTENNA IMMERSED IN A PLASMA In a previous report,l we described measurements of harmonic generation produced when a slotted-sphere antenna is immersed in an essentially collisionless plasma. Assuming that the harmonics are generated by the nonlinear conductance of the plasma sheath surrounding the antenna, we found strong… (More)

- B L Goldblum, S R Stroberg, J M Allmond, C Angell, L A Bernstein, D L Bleuel +7 others
- 2009

The surrogate ratio method (SRM) was employed in the first experimental determination of the 231 Th(n,f) cross section, relative to the 235 U(n,f) cross section, over an equivalent neutron energy range of 360 keV to 10 MeV. The 230 Th(n,f) cross section was also deduced using the SRM, relative to the 234 U(n,f) cross section, over an equivalent neutron… (More)

- D P Mcnabb, G Baldsiefen, L A Bernstein, J A Cizewski, H.-Q Jin, W Younes +5 others
- 2008

The 174 Yb(29 Si,5n) reaction at 148 MeV with thin targets was used to populate high-angular momentum states in 198 Po. Resulting γ rays were observed with Gammasphere. A weakly-populated superdeformed band of 10 γ-ray transitions was found and has been assigned to 198 Po. This is the first observation of a SD band in the A ≈ 190 region in a nucleus with Z… (More)

- S M Fischer, C J Lister, D P Balamuth, R Bauer, J A Becker, L A Bernstein +16 others
- Physical review letters
- 2001

The ground state rotational bands of the N = Z nuclei (72)Kr, (76)Sr, and (80)Zr have been extended into the angular momentum region where rotation alignment of particles is normally expected. By measuring the moments of inertia of these bands we have observed a consistent increase in the rotational frequency required to start pair breaking, when compared… (More)

- Leon Bernstein
- 1983

Dedicated to my wife Pesia and my son John

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