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The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
This volume is the product of a course on longitudinal prospective re search arranged by the three editors in Arhus, Denmark, in 1978. The course was supported by the Nordisk Kulturfond for young researchers from the Nordic countries, who had planned or had simply involved themselves in longitudinal prospective research projects of various kinds. The twenty-six participants represented a wide range of professions: statisticians, psychologists, psychiatrists, nutritionists, and public health researchers. The teachers came from many countries and represented many disciplines. The course was very successful, especially from the point of view of the quality and investment of the teachers. We felt also that the course met a strong need in this relatively new field of research. Therefore, we asked the teachers to prepare written versions of their lectures so that they could have wider dissemination; they agreed to do so. The present book is composed of these contributions. The first chap ter, after outlining some of the problems with traditional strategies in mental health research, goes on to suggest some of the possible preven tive applications of longitudinal research methods. Included in Parts II and III are papers on design problems and on the tools of long-term research, such as genetics and classification, biological measurements, epidemiological guidelines, statistical models, disease registers, and de velopmental psychology."
This volume is the product of a course on longitudinal prospective re search arranged by the three editors in Arhus, Denmark, in 1978. The course was supported by the Nordisk Kulturfond for young researchers from the Nordic countries, who had planned or had simply involved themselves in longitudinal prospective research projects of various kinds. The twenty-six participants represented a wide range of professions: statisticians, psychologists, psychiatrists, nutritionists, and public health researchers. The teachers came from many countries and represented many disciplines. The course was very successful, especially from the point of view of the quality and investment of the teachers. We felt also that the course met a strong need in this relatively new field of research. Therefore, we asked the teachers to prepare written versions of their lectures so that they could have wider dissemination; they agreed to do so. The present book is composed of these contributions. The first chap ter, after outlining some of the problems with traditional strategies in mental health research, goes on to suggest some of the possible preven tive applications of longitudinal research methods. Included in Parts II and III are papers on design problems and on the tools of long-term research, such as genetics and classification, biological measurements, epidemiological guidelines, statistical models, disease registers, and de velopmental psychology."
The current study includes Part I and Part II of An Introduction to Romans and spells out two of the results of Christ's time-altering (B.C. to A.D.) sacrifice on the cross. These two results are under the headings of The Race - A Redeemed People and The Regeneration - A Redeemed Earth. To be forthcoming will be Part III - The Restoration - A Redeemed Nation under the title of The Coming Kingdom. This study will concern the restoration of the nation of Israel in connection with the promised reign of her Messiah on the millennial earth. "For God is not a man that He should lie, neither human that He should change his mind. When He gives His word, does He not perform it? Or does He promise and not fulfill it" (Numbers 23:19, Berkeley)? William Knop holds Bachelor of Science and Master of Theology degrees (University of Wisconsin and Dallas Theological Seminary). He has served as pastor and teacher, as dean and instructor (Biblical Dynamics Institute), Campus Crusade staff (University of Houston and San Bernardino, CA.), and Christian School Administrator (K-12, Springfield, VA.) before his current involvement with I.F.I. at Ohio State University.
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