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1. On the origin of the Korteweg-de Vries equation

Author

de Jager, E. M.

Subjects
Mathematics - History and Overview, Mathematics - Analysis of PDEs, 01-02, 01A55 (Primary) 76-03, 76B25, 35Q53 (Secondary)
Abstract

The Korteweg-de Vries equation has a central place in a model for waves on shallow water and it is an example of the propagation of weakly dispersive and weakly nonlinear waves. Its history spans a period of about sixty years, starting with experiments of Scott Russell in 1834, followed by theoretical investigations of, among others, Lord Rayleigh and Boussinesq in 1871 and, finally, Korteweg and De Vries in 1895. In this essay we compare the work of Boussinesq and Korteweg-de Vries, stressing essential differences and some interesting connections. Although there exist a number of articles, reviewing the origin and birth of the Korteweg-de Vries equations, connections and differences, not generally known, are reported., Comment: minor corrections; 25 pages, 3 figures

Published
2006

3. Six Artists

Author

Paintsil, George Ekow, Warren, D. M., Harper, Peggy, Coates, Ross, Donovan, Alan, and de Jager, E. J.

Published
1979
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7. Quantifying the variation of sulcal patterns in extant human endocasts: a probabilistic approach

Author

De Jager, E, Van Schoor, A, Beaudet, Amélie, Oettlé, A, Fonta, Caroline, Hoffman, Jakobus, Risser, L, Mescam, M, Centre de recherche cerveau et cognition (CERCO), Institut des sciences du cerveau de Toulouse. (ISCT), Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-CHU Toulouse [Toulouse]-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-CHU Toulouse [Toulouse]-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Joint Quantum Institute (JQI), University of Maryland [College Park], University of Maryland System-University of Maryland System-National Institute of Standards and Technology [Gaithersburg] (NIST), Fonta, Caroline, University of Pretoria [South Africa], Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre Hospitalier Universitaire de Toulouse (CHU Toulouse)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre Hospitalier Universitaire de Toulouse (CHU Toulouse)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), South African Nuclear Energy Corporation [Pretoria] (NECSA), Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Anatomical Society of Southern Africa (ASSA), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Toulouse 1 Capitole (UT1), Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre Hospitalier Universitaire de Toulouse (CHU Toulouse)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Centre Hospitalier Universitaire de Toulouse (CHU Toulouse)-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), and Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[SDV]Life Sciences [q-bio], [SHS.ANTHRO-BIO]Humanities and Social Sciences/Biological anthropology, [SDV.NEU]Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC], [SDV.NEU] Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC], [SHS.ANTHRO-BIO] Humanities and Social Sciences/Biological anthropology
Abstract

International audience; Our knowledge of human brain evolution primarily relies on the interpretation of palaeoneurological evidence. Endocasts (i.e., replica of the internal table of the bony brain case) constitute a proxy for reconstructing a timeline and mode of cerebral changes in the fossil record. The identification of cerebral imprints is critical for assessing the topographic extension and structural organisation of cortical areas. Describing these crucial landmarks in fossil endocasts is challenging due to the fragmentary nature of fossil specimens. Recent introduction of high-resolution imaging techniques in (palaeo)neurology offers new opportunities for tracking detailed endocranial neural characteristics. In this context, this study aims to provide an atlas that documents variation in the extant human endocranial sulcal patterns for subsequent use as a comparative platform for the study of the fossil record. Dry human crania from the Pretoria Bone Collection were scanned using micro-CT at Necsa, Pelindaba (South Africa). Endocasts were virtually extracted using Endex software. Sulci were automatically detected and manually labelled using a programme created with MATLAB. Finally, a probability map was created by projecting all the labelled sulci on an average endocast and calculating the average displacement of each identified sulcus. In providing an innovative, non-invasive, observer-independent method to investigate human endocranial structural organisation, our analytical protocol introduces a promising perspective for discussing long-standing questions in palaeoneurology.

Published
2019

26. STUDIES ON HUMAN CHORIONIC GONADOTROPHIN

Author

Homan Jd, Schuurs Ah, and de Jager E

Subjects
medicine.medical_specialty, Endocrinology, Chemistry, Chorionic gonadotrophin, Endocrinology, Diabetes and Metabolism, Internal medicine, medicine, General Medicine
Abstract

Preparations of Human Chorionic Gonadotrophin (HCG) with varying degrees of homogeneity were investigated immunochemically. The preparations were compared qualitatively by combined starch gel electrophoresis and immunoelectrophoresis, by immunodiffusion and immunoelectrophoresis in agar, and, quantitatively by haemagglutination inhibition and by complement fixation reactions. The components present in pure HCG preparations which differed in electrophoretic mobilities, in N-acetyl neuraminic acid (NANA) content and in biological potencies, appeared to be immunochemically identical. This implies that results of immunochemical and biological estimations need not correlate with each other. This finding is compared with relevant data in the literature. It is proposed to use the 2nd International Standard for HCG for both immunochemical and biological estimations, but, because of the fundamental difference between the results of the two types of estimations, to express the immunochemically determined values in »International Immunochemical Units« (IIU).

Published
1968

28. STUDIES ON HUMAN CHORIONIC GONADOTROPHIN

Author

Schuurs, A. H. W. M., de Jager, E., and Homan, J. D. H.

Abstract

Preparations of Human Chorionic Gonadotrophin (HCG) with varying degrees of homogeneity were investigated immunochemically. The preparations were compared qualitatively by combined starch gel electrophoresis and immunoelectrophoresis, by immunodiffusion and immunoelectrophoresis in agar, and, quantitatively by haemagglutination inhibition and by complement fixation reactions. The components present in pure HCG preparations which differed in electrophoretic mobilities, in N-acetyl neuraminic acid (NANA) content and in biological potencies, appeared to be immunochemically identical. This implies that results of immunochemical and biological estimations need not correlate with each other. This finding is compared with relevant data in the literature.It is proposed to use the 2nd International Standard for HCG for both immunochemical and biological estimations, but, because of the fundamental difference between the results of the two types of estimations, to express the immunochemically determined values in »International Immunochemical Units« (IIU).

Published
1968
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29. REFLECTION AND TRANSMISSION OF PLANE WAVES BY LAYERED PERIODIC MEDIA.

Author

STANFORD UNIV CALIF DEPT OF MATHEMATICS, DE Jager,E. M., Levine,H., STANFORD UNIV CALIF DEPT OF MATHEMATICS, DE Jager,E. M., and Levine,H.

Abstract

The reflection and transmission coefficients (at normal incidence) for plane parallel slabs consisting of N inhomogeneous and exactly duplicated parallel layers are expressed in terms of the corresponding coefficients for a single layer. The analysis is effected by two different methods, one of which stems from the so-called invariant imbedding viewpoint while the other relies on a more conventional matrix argument. (Author)

Published
1968

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