111 research outputs found
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Janossy Densities I. Determinantal Ensembles
No full textWe derive an elementary formula for Janossy densities for determinantal point
processes with a finite rank projection-type kernel. In particular, for beta=2 polynomial
ensembles of random matrices we show that the Janossy densities on an interval I can be
expressed in terms of the Christoffel-Darboux kernel for the orthogonal polynomials on the
complement of I
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Janossy Densities II. Pfaffian Ensembles
No full textWe extend the main result of the companion paper math-ph/0212063 "Janossy Densities
I. Determinantal Ensembles" (joint with Alexei Borodin) to the case of the pfaffian
ensembles
Immuno-histochemical characterisation of cells involved in dermatopathic lymphadenopathy
No full textNormal and pathological lymph nodes exhibiting the features of dermatopathic lymphadenopathy were analysed by immunochemical methods. Various antisera to human Ia-like antigens, to immunoglobulin, to T cells and myelo-monocytic cells were used. The paracortical enlargement typical of the condition was due to interdigitating cells containing Ia-like antigens on their membrane, and to adjacent T lymphocytes. The intensity of staining with anti-Ia-like serum on the interdigitating cells was comparable to the very strong staining of the fewer reticular cells present in the T dependent areas of normal nodes and normal spleen, and to the staining of Langerhans cells in the skin and appear to be higher than that seen on B lymphoid cells. These cells do not exhibit immunoglobulin and do not react with antisera made against circulating granulocytic and monocytic cells. Since sinus histiocytes of normal nodes and histiocytes in massive lymphadenopathy showed very weak staining with anti-Ia-like serum, strong Ia expression seems to be restricted to a subclass of mesenchymal cells which might be involved in the regulation of T cell function
Total optical torque and angular momentum conservation in dye-doped liquid crystal droplets spun by circularly polarized light
No full textDifferential diagnosis of malignant lymphoma and nonlymphoid tumors using monoclonal anti-leucocyte antibody
No full textPathologic samples from 34 cases of human solid malignancies were tested for reactivity with monoclonal anti-human leucocyte antibody, designated 2D1. This antibody detects a human leucocyte antigen (HLe-I) that is expressed strongly on B and T lymphoid cells and weakly on early hemopoietic cells, but is not found on normal mesenchymal and epithelial tissues. This study demonstrates the use of this reagent in cryostat sections of tumor samples using indirect immunofluorescence in combination with other lymphoid markers such as anti-T cell serum, anti-Ia-like serum (detecting p28, 33 "B cell associated" membrane antigen) and antisera to different immunoglobulin isotypes. Tumor cells from all 12 cases of epithelial malignancies and sarcomas were HLe-I- although adjacent (normal) lymphoid cells showed strong positive staining. In contrast, 20 cases of lymphoma (B- as well as T-cell types) were HLe-I+. Two other malignancies involving the lymphoid system were HLe-I- and failed to express any of the other lymphoid markers tested
The magnetic torque of the heavy-fermion Upd2Ga3
No full textThe magnetic torque of the heavy-fermion Upd2Ga3 Sullow, S.; Janossy, B.; van Vliet, G.E.L.; Nieuwenhuys, G.J.; Menovsky, A.A.; Mydosh, J.A. Published in: Journal of Physics-Condensed Matter DOI: 10.1088/0953-8984/8/6/013 Link to publication Citation for published version (APA): Sullow, S., Janossy, B., van Vliet, G. E. L., Nieuwenhuys, G. J., Menovsky, A. A., & Mydosh, J. A. (1996). The magnetic torque of the heavy-fermion Upd2Ga3. Journal of General rights It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Abstract. The basal-plane anisotropy of the antiferromagnetic phase of the hexagonal heavy-fermion superconductor UPd 2 Al 3 has been studied via the magnetic torque. Torque measurements were performed as functions of magnetic field and angle, with the field rotated in the a-b-plane, at temperatures between 4.2 and 30 K and in fields of up to 20 T. We interpret our results within a mean-field model and derive expressions for the basal-plane anisotropy energy. Further, we studied the anisotropy and temperature dependence of the metamagnetic transition of UPd 2 Al 3 at 18 T and we discuss its nature
Universal approximation of functions on sets
No full textModelling functions of sets, or equivalently, permutation-invariant functions, is a longstanding challenge in machine learning. Deep Sets is a popular method which is known to be a universal approximator for continuous set functions. We provide a theoretical analysis of Deep Sets which shows that this universal approximation property is only guaranteed if the model's latent space is sufficiently high-dimensional. If the latent space is even one dimension lower than necessary, there exist piecewise-afine functions for which Deep Sets performs no better than a nafive constant baseline, as judged by worst-case error. Deep Sets may be viewed as the most efficient incarnation of the Janossy pooling paradigm. We identify this paradigm as encompassing most currently popular set-learning methods. Based on this connection, we discuss the implications of our results for set learning more broadly, and identify some open questions on the universality of Janossy pooling in general
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