...andache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Stephen J. Crothers thenarmis@yahoo.com Department of Mathematics, University of Ne... ...tional Numbers Distribution and Resonance. . . . . . . . . . . . . . 65 S. J. Crothers On the General Solution to Einstein’s Vacuum Field and Its Impl... ...eneracy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 S. J. Crothers On the Ramifcations of the Schwarzschild Space-Time Metric..74 ... ...f a vector ∇ i ∇ k Q l − − ∇ k ∇ i Q l = 2A ik c 2 ∂Q l ∂t +H ...j lki Q j , had obtained the chr. inv.-tensor H ...j lki like Schouten’s te... ...wice by h ik , is Z=h il Z il =D ik D ik −D 2 −A ik A ik −c 2 C, where C=C j j =h lj C lj andC kj =C ...i kij∙ =h im C kimj [1]. At the same time, as ... ...al conditions that the required solution must satisfy must be established. Abrams [9] has determined these conditions. I obtain them by other argument... ...from an infnite number of mathematically possible forms, as pointed out by Abrams. Moreover, α embodies the effective gravitational mass of the source... ...r 0 2 =1; 3. C(r 0 )=α 2 . I call the foregoing the Metric Conditions of Abrams for the point-mass (MCA) since whenr 0 =0 they are precisely the con... ...ious way. Dedication I dedicate this paper to the memory of Dr. Leonard S. Abrams: (27 Nov. 1924 — 28 Dec. 2001). Epilogue My interest in the problem ...

...andache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Stephen J. Crothers thenarmis@yahoo.com Department of Mathematics, University of Ne... ...092 Printed in the United States of America JULY 2005 VOLUME 2 CONTENTS S. J. Crothers On the Geometry of the General Solution for the Vacuum Field of... ...g Constants of Nature. . . . . . . . . . . . . . . . . . . . . . . . 63 S. J. Crothers On the Generalisation of Kepler’s 3rd Law for the Vacuum Field ... ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 S. J. Crothers On the Vacuum Field of a Sphere of Incompressible Fluid. . . . ... ...try of the General Solution for the Vacuum Field of the Point-Mass Stephen J. Crothers Sydney, Australia E-mail: thenarmis@yahoo.com The black hole, w... ... 4C dr 2 −C(dθ 2 +sin 2 θdϕ 2 ), (17) which is the line-element derived by Abrams [7] by a dif- ferent method. Alternatively one could set r=R c in (6... ...r C(D(r)) satisfying all the required conditions (the Metric Conditions of Abrams [7]), from which an infnite sequence of particular solutions can be ... ...ation of matter or energy. Both of these anomalies have also been noted by Abrams in his work [7]. Either of these features alone proves the Kruskal-S... ...lso pointed out the necessity of such a boundary condition in 1923, as did Abrams [7] in more recent years, who stated it equivalently as, r→r 0 ⇒C(r)...

...t at any rate is the theory of our constitution. (Oliver Wendell Holmes [ 1919) in Abrams v. U.S. , 250 U.S. 616,630). When diverse factions employ ... ...the 1976 figure of $115 million, according to Gene Secunda, senior vice president, J. Walter Thompson. "Government has learned from the advertising... ...of the last two decades by suggesting that the diffusion-adoption process follows a J-shaped curve until saturation occurs or there is an interruptio... ...compelling need for such information. Describing nutrition education in India, F. J. Levinson (1972) reports: 73 The annals of well-meaning... ...e that described by the adage, "the rich get richer and the poor have babies." P. J. Tichenor et al. (1970) called this the communication gap hypoth... ...ng social with traditional products. Symbolically, if xij i(i = 1,2, .., 12 and j = 1,2, …, 5) is the respondent's score on criterion i with resp...

...teraction. New York, International Universities Press, 1961 11. Horowitz M. J. Sliding Meanings: A Defence against Threat in Narcissistic Personalit... ...tional Journal of Psychoanalytic Psychotherapy, 1975; 4:167 12. Horovitz M. J. Stress Response Syndromes: PTSD, Grief and Adjustment Disorders. 3rd ... ...topher. The Culture of Narcissism. New York, Warner Books, 1979 20. Levine, J. D., and Weiss, Rona H. The Dynamics and Treatment of Alcoholism. Jaso... ...periods of trauma and abuse. In "Stalking – An Overview of the Problem" [Can J Psychiatry 1998;43:473–476], authors Karen M Abrams and Gail Erlick R... ...verview of the Problem" [Can J Psychiatry 1998;43:473–476], authors Karen M Abrams and Gail Erlick Robinson write: "Initially, there is often much d... ....24]. Abuse of all kinds also interferes with the victim's ability to work. Abrams and Robinson wrote this [in "Occupational Effects of Stalking", C... ... Abrams and Robinson wrote this [in "Occupational Effects of Stalking", Can J Psychiatry 2002;47:468–472]: "… (B)eing stalked by a former partner ma...

...LINCOLN. 16 The Writings of Abraham Lincoln: V ol Six TELEGRAM TO GENERAL J. C. FREMONT. WAR DEPARTMENT, May 24, 1862. 4 P.M. MAJOR-GENERAL FREMONT, ... ...nd specify the hour it is received by you. A. LINCOLN. TELEGRAM TO GENERAL J. C. FREMONT. WAR DEPARTMENT, May 24, 1862. 7.15 P.M. MAJOR-GENERAL FREMON... ... LINCOLN 19 The Writings of Abraham Lincoln: V ol Six TELEGRAM TO GENERAL J. W . GEARY . WAR DEPARTMENT, May 25, 1862 1.45 P.M. GENERAL GEARY, White ... ... to throw shells into the city? A. LINCOLN, President. TELEGRAM TO GENERAL J. C. FREMONT. May 27.1862. 9.58 P.M. MAJOR-GENERAL FREMONT: I see that you... ...N M. STANTON, Secretary of War. TELEGRAM FROM SECRETARY STANTON TO GENERAL J. C. FREMONT, W ASHINGTON, May 28, 1862 MAJOR-GENERAL FREMONT, Moorefield ... ...tion to Albert Jones is received. I am appealed to in behalf of Richard M. Abrams of Company A, Sixth New Jersey V olunteers, by Governor Parker, Atto...

...Slade Gorton Lee H. Hamilton vice chair Bob Kerrey John F . Lehman Timothy J. Roemer James R.Thompson COMMISSION MEMBERS Final FM.1pp 7/17/04 5:25 P... ...e Deputy General Counsel Thomas R. Eldridge Counsel Alice Falk Editor John J. Farmer, Jr. Senior Counsel & Team Leader Alvin S. Felzenberg Deputy for ... ...fessional Staff Member C. Michael Hurley Senior Counsel & Team Leader Dana J. Hyde Counsel John W . Ivicic Security Officer Michael N. Jacobson Counse... ...zyna Kozaczuk Financial Assistant Gordon Nathaniel Lederman Counsel Daniel J. Leopold Staff Assistant Sarah W ebb Linden Professional Staff Member Dou... ...opold Staff Assistant Sarah W ebb Linden Professional Staff Member Douglas J. MacEachin Professional Staff Member & Team Leader Ernest R. May Senior A... ...l. 69 (Apr. 1984), p. 785. On the line between church and state, see Floyd Abrams,“The First Amendment and the War against T er- rorism,” University o...