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[Stammbuch F. N. Böhm] / F. N. Böhm
[STAMMBUCH F. N. BÖHM] / F. N. BÖHM
[Stammbuch F. N. Böhm] / F. N. Böhm (1)
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Getting Started as a Medical Teacher in Times of Change
Medical school teaching is a skill that is very often learned on the job. The faculty comprised of researchers and clinicians are expert in many biomedical disciplines, but familiarity with learning theories and pedagogy are usually not included in their knowledge and skill sets. The pressure to see patients and acquire extramural funding leaves little time for faculty to learn how to teach. When coupled with the natural attrition of senior faculty it is necessary to start junior faculty on the correct path to being effective medical educators who are capable of lecturing and facilitating. Institutions cannot afford to have medical educators learn through trial and error. The standards set by the Liaison Committee on Medical Education (LCME) are also creating an urgency to produce competent teachers as quickly as possible. Novice teachers need to be able to use these standards to align their teaching with goals, objectives and the appropriate pedagogy. This article is designed to be a self-directed guide describing some essentials that a newly hired faculty member can quickly use to get started. An institutional faculty development program can then serve to build upon and enrich the experience for the new faculty member.This is the authors' accepted manuscript of the article. The final publication is available at Springer via http://dx.doi.org/doi:10.1007/s40670-014-0098-y.Peer reviewe
Sous-facteurs de L(F∞) d'indice 4cos2π/n,n≥3
Let Q be a factor of type II1, λ a number in the Jones discrete series {4cosπ/m:m≥3}, and {ei} the Jones projections associated with λ. Denote by A2n and A1n the finite-dimensional von Neumann algebras generated, respectively, by {1,e2,⋯,en} and {1,e1,⋯,en}, with the corresponding traces. The author shows that, for n sufficiently large, the index of the inclusion An=(Q⊗A2n)∗A2nA1n⊂(Q⊗A2n+1)∗A2n+1A1n+1=An+1 is equal to λ (here ∗ denotes the reduced, amalgamated free product of the algebras in question). Using the random matrix model of Voiculescu, he proves that if Q is the von Neumann algebra L(F∞) of the free group with infinitely many generators, then An is isomorphic to L(F∞).
The two facts together imply the existence, for any λ in the Jones discrete series, of an irreducible subfactor of L(F∞) of index λ. This constitutes the first example of a nonhyperfinite, non-Γ II1 factor such that its Jones invariant is fully computable (the existence of nonirreducible subfactors of L(F∞) for any index ≥4 is a simple consequence of known results)
Leptonic decay constants f(K), f(D), and f(Ds) with N-f=2+1+1 twisted-mass lattice QCD
We present a lattice QCD calculation of the pseudoscalar decay constants f(K), f(D) and f(Ds) performed using the gauge configurations produced by the European Twisted Mass Collaboration with N-f = 2 + 1 + 1 dynamical quarks, which include in the sea, besides two light mass degenerate quarks, also the strange and charm quarks with masses close to their values in the real world. The simulations are based on a unitary setup for the two light mass-degenerate quarks and on a mixed action approach for the strange and charm quarks. We use data simulated at three different values of the lattice spacing in the range 0.06-0.09 fm and at pion masses in the range 210-450 MeV. Our main results are f(K+)/f(pi+) = 1.184(16), f(K+) = 154.4(2.0) MeV, which incorporate the leading strong isospin breaking correction due to the up and down quark mass difference, and f(K) = 155.0(1.9) MeV, f(D) = 207.4(3.8) MeV, f(Ds) = 247.2(4.1) MeV, f(Ds)/f(D) = 1.192(22) and (f(Ds)/f(D))/(f(K)/f(pi)) = 1.003(14) obtained in the isospin symmetric limit of QCD. Combined with the experimental measurements of the leptonic decay rates of kaon, pion, D and D-s mesons our results lead to the following determination of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements: vertical bar V-us vertical bar = 0.2269(29), vertical bar V-cd vertical bar = 0.2221(67) and vertical bar V-cs vertical bar = 1.014(24). Using the latest value of vertical bar V-ud vertical bar from superallowed nuclear beta decays the unitarity of the first row of the CKM matrix is fulfilled at the per mill level
SUBFACTORS OF L (F-INFINITY) WITH INDEX 4-COS2-PI/N, N-GREATER-THAN-OR-EQUAL-TO 3
We introduce a noncommutative probability model (in the sense of Voiculescu) for the (reduced) amalgamated free product (L (F(N))X A) A*B, where A subset-or-equal-to B is an inclusion of finite dimensional algebras (with trace). Using this model we prove that A(lambda)n = (L (F(infinity))X A(n)) A(n)*A(n+1) is isomorphic to L (F(infinity)) where A(n) = {e2,..., e(n)}", A(n+1) = {e1,..., e(n)}", (e(i))i being the Jones projections associated to an index value lambda--1. For lambda--1 in Jones' discrete series {4 cos2 pi/m\m greater-than-or-equal-to 3} and n big enough, A(lambda)n is-approximately-equal-to L (F(infinity) is an irreducible subfactor of index lambda--1 in A(lambda)n+1 is-approximately-equal-to L (F(infinity)) of index lambda--1
Microsolvation of F-
A staggering structural diversity for the microsolvation of F- with up to six water molecules is uncovered in this work. Given the structural variety and the proximity in energy among several local minima, we show here that in order to match available experimental data, statistical averages over contributing structures are needed, rather than assigning experimental values to isolated structures. Our results suggest that the formal charge in F- is strong enough as to induce partial and total dissociation of water molecules and to alter the nature of the surrounding network of water to water hydrogen bonds. We provide an extensive analysis of bonding interactions under the NBO and QTAIM formalisms, our main results suggest a complex interplay between ionic and covalent characters for the F?H interactions as a function of the separation between the atoms. © 2018 the Owner Societies
Characterization and partial purification of β-N-acetylgalactosaminyltransferase from urine of Sd(a+) individuals
Urine from Sd(a+) individuals was found to contain a β-N-acetylgalactosaminyltransferase that transfers N-acetylgalactosamine (GalNAc) from UDP-GalNAc to 3′-sialyllactose and glycoproteins carrying the terminal NeuAcα-3Galβ group. This enzyme has been purified 174-fold by affinity chromatography on Blue Sepharose and DEAE-Sephacel chromatography in a yield of 33%. Neither endogenous incorporation nor sugar nucleotide degrading enzymes were found in the purified preparation. The transferase had a pH optimum of pH 7.5 and a requirement for Mn2+ but not for detergents. The Km for UDP-GalNAc was 66 × 10-6 m, using fetuin as an acceptor. Like β-GalNAc-transferase from other sources the urinary enzyme had a strict requirement for sialylated acceptors. On the basis of enzymatic and chemical treatment of the product obtained by the transfer of [3H]GalNAc to 3′-sialyllactose, we propose that the enzyme attaches GalNAc in β-anomeric configuration to 0-4 of the galactose residue that is substituted at O-3 by sialic acid. A preparation of Tamm-Horsfall glycoprotein from a Sd(a-) donor lacking β-Gal-NAc was found to be the best acceptor among the glycoproteins tested. Studies on the transferase activity toward fetuin, human chorionic gonadotropin, and glycophorin A indicated that the enzyme preferentially adds the sugar to the sialylated terminal end of N-linked oligosaccharides. Unlike the β-GalNAc-transferase bound to human kidney microsomes (F. Piller et al. (1986) Carbohydr. Res. 149, 171-184) the urinary transferase is able to transfer β-GalNAc to the NeuAcα-3Galβ-3(NeuAcα-6)GalNAc chains bound to the native glycophorin. © 1988
Low-Dimensional Linear Representations of Aut F n , . . .
. We classify all complex representations of Aut Fn ; the automorphism group of the free group Fn (n 3); of dimension 2n \Gamma 2: Among those representations is a new representation of dimension n+1 which doesn't vanish on the group of inner automorphisms. Introduction This paper continues the study of low-dimensional linear representations of \Gamma n = Aut F n (n 3), the automorphism group of the free group, begun in [R1] (low-dimensional representations of Aut F 2 were analyzed in [DP]). It was shown in [R1] (cf. also Theorem 1.2 below) that any n-dimensional representation of Aut F n factors through the the canonical homomorphism f : \Gamma n ! GL n (Z): In this paper we will show that in dimension higher than n; the group \Gamma n acquires new representations. Namely, we will establish the existence of a homomorphism g : \Gamma n ! GL n (Z) n Z n which "lifts" f and gives rise to an (n + 1)-dimensional representation. The main result of the paper (Theorem 3.1) claims t..
Postać n-tej iteracji operatora q = f d/dx
Artykuł nie zawiera streszczeniaMotivated by applications in linear dynamical systems, the author studies q^n(f), where q is the operator f●(d/dx) and qn is its n-th iteration. q^n(f) is a polynomial F(f(0),f(1),...,f(n)) in the derivatives f(0)=f,...,f(n) of f with integer coefficients. Special attention is paid to determining the coefficients of F. The author presents algorithms for computing the coefficients and also shows that the sum of all coefficients of F equals n!. The paper ends with some remarks on the number of coefficients of F, which is related to the number-theoretic unrestricted partition function
Phase transitions in lattice 2 D O(N)σ-model with mixed action in the large N limit
We study the exact N→∞ solution of the two-dimensional lattice o(N) σ-model, described by a two parameter action that mixes Wilson (quadratic) and RPN-1≈O(N)/Z2 (quartic) actions. A rich phase structure emerges, with a first order transition line crossing, in the two-dimensional parameter space the RPN-1 axis. At the end of this line the specific-heat diverges while the correlation length remains finite. © 1987 Springer-Verlag
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