Portrait of Elly Goldschmidt and her children Ilse and Robert. Portraits Family

Digital Image

Ilse and Robert Goldschmidt with their parents Albert Goldschmidt and Elly nee Schoenbeck grandfather Albert Schoenbeck and great grandmother Sophie Schoenbeck nee Mahler. Portraits Family

Digital Image

Portrait of the engineer and geneologist Robert Goldschmidt Portraits Men

Digital Image

Solomon Robert Kagan papers undated, 1920-1955

Contains correspondence, printed material, and photographs relating to Jews in the medical profession, used as a basis for Kagan's several works on Jews in medicine, including the correspondence of members of the American Physicians Fellowship Committee of the Israel Medical Association; includes also correspondence relating to the Near East and the internationalization of Jerusalem, 1945-1954; and personal correspondence. Among the correspondents are Bernard M. Baruch and Christian A. Herter.

Faster Algorithms for Incremental Topological Ordering.Robert Tarjan

We present two online algorithms for maintaining a topological order of a directed acyclic graph as arcs are added, and detecting a cycle when one is created. Our first algorithm takes O(m 1/2) amortized time per arc and our second algorithm takes O(n 2.5/m) amortized time per arc, where n is the number of vertices and m is the total number of arcs. For sparse graphs, our O(m 1/2) bound improves the best previous bound by a factor of logn and is tight to within a constant factor for a natural class of algorithms that includes all the existing ones. Our main insight is that the two-way search method of previous algorithms does not require an ordered search, but can be more general, allowing us to avoid the use of heaps (priority queues). Instead, the deterministic version of our algorithm uses (approximate) median-finding; the randomized version of our algorithm uses uniform random sampling. For dense graphs, our O(n 2.5/m) bound improves the best previously published bound by a factor of n 1/4 and a recent bound obtained independently of our work by a factor of logn. Our main insight is that graph search is wasteful when the graph is dense and can be avoided by searching the topological order space instead. Our algorithms extend to the maintenance of strong components, in the same asymptotic time bounds.

A family of interesting exact solutions of the sine-Gordon equation

By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of interesting exact solutions of the sine-Gordon equation are constructed. These solutions seem to be some soliton, kink, and anti-kink ones respectively for the different choice of the spectrum, whereas due to the interaction between two traveling-waves they have some properties different from usual soliton, kink, and anti-kink solutions.

Redescubrir la finalidad natural : Robert Spaemann y Tomás de Aquino

Resumen: En ocasión de la autobiografía de Robert Spaemann aparecida en 2012, este trabajo examina la lectura que Spaemann hace de la teleología en la doctrina de Santo Tomás de Aquino, especialmente en su obra Nat��rliche Ziele (2005) que prosigue la versión de 1981. En la primera parte, se estudia la historia de la teleología en el pensamiento filosófico y cient��fico expuesta en «Fines naturales». La finalidad intrínseca en la naturaleza de los seres es conocida con profundidad creciente gracias a Plat��n, Arist��teles, al estoicismo y a la tradición cristiana. Estos aportes se integran en una estructura teleológica unitaria en el Aquinate. Después acontece una «inversión» de la teleología centrada en la conservación del propio ser y una consideración de los fines como algo externo a la realidad. Con la teoría evolucionista surge la teleonomía que se limita a las reglas del dinamismo, suprimiendo el fin. Con todo, los cient��ficos no logran eliminar los t��rminos «con el fin de» o «para» en su lenguaje. Eso permite proceder a un redescubrimiento de los fines naturales. En la segunda parte, se ve cómo Tomás de Aquino lleva el conocimiento de la finalidad más allá de Arist��teles, porque ella remite a una inteligencia creadora. La teleología implica una teología, aunque no queda del todo claro si es la teología filosófica o la cristiana. Spaemann tiene un planteo ontológico de tipo persuasivo, pero en algunos momentos siente dificultad para superar en el plano teorético a quien se limita a una teleonomía.

A new method of studying the dynamical behavior of the sine-gordon equation

We try to connect the theory of infinite dimensional dynamical systems and nonlinear dynamical methods. The sine-Gordon equation is used to illustrate our method of discussing the dynamical behaviour of infinite dimensional systems. The results agree with those of Bishop and Flesch [SLAM J. Math. Anal. 21 (1990) 1511].

Sine-Gordon方程的截断系统的同宿轨道

研究ＳｉｎｅＧｏｒｄｏｎ方程的广义渐近惯性流形上的常微分方程组，证实了在一定参数条件下存在Ｗｉｇｇｉｎｓ［１］意义下的同宿轨道．计算表明，与Ｂｉｓｈｏｐ［２］用数值计算得到的ＳｉｎｅＧｏｒｄｏｎ方程产生混沌的参数值尚有差别，考虑到同宿出现参数值往往低于混沌出现参数值，故结果在定性上正确，而且改进了文［１］中的结果．

Carta enviada por el Dr. Robert Worms a Justo Garate

1 carta (manuscrita) ; 202x145mm.

Applications of a Concise and General Strategy for the Syntheses of Transtaganolide and Basiliolide Natural Products

Herein are described the total syntheses of all members of the transtaganolide and basiliolide natural product family. Utilitzation of an Ireland–Claisen rearrangement/Diels–Alder cycloaddition cascade (ICR/DA) allowed for rapid assembly of the transtaganolide and basiliolide oxabicyclo[2.2.2]octane core. This methodology is general and was applicable to all members of the natural product family.

A brief introduction outlines all the synthetic progress previously disclosed by Lee, Dudley, and Johansson. This also includes the initial syntheses of transtaganolides C and D, as well as basiliolide B and epi-basiliolide B accomplished by Stoltz in 2011. Lastly, we discuss our racemic synthesis of basililide C and epi-basiliolide C, which utilized an ICR/DA cascade to constuct the oxabicyclo[2.2.2]octane core and formal [5+2] annulation to form the ketene-acetal containing 7-membered C-ring.

Next, we describe a strategy for an asymmetric ICR/DA cascade, by incorporation of a chiral silane directing group. This allowed for enantioselective construction of the C8 all-carbon quaternary center formed in the Ireland–Claisen rearrangement. Furthermore, a single hydride reduction and subsequent translactonization of a C4 methylester bearing oxabicyclo[2.2.2]octane core demonstrated a viable strategy for the desired skeletal rearrangement to obtain pentacyclic transtaganolides A and B. Application of the asymmetric strategy culminated in the total syntheses of (–)-transtaganolide A, (+)-transtaganolide B, (+)-transtaganolide C, and (–)-transtaganolide D. Comparison of the optical rotation data of the synthetically derived transtaganolides to that from the isolated counterparts has overarching biosynthetic implications which are discussed.

Lastly, improvement to the formal [5+2] annulation strategy is described. Negishi cross-coupling of methoxyethynyl zinc chloride using a palladium Xantphos catalyst is optimized for iodo-cyclohexene. Application of this technology to an iodo-pyrone geranyl ester allowed for formation and isolation of the eneyne product. Hydration of the enenye product forms natural metabolite basiliopyrone. Furthermore, the eneyne product can undergo an ICR/DA cascade and form transtaganolides C and D in a single step from an achiral monocyclic precursor.

Rings faithfully represented on their left socle

In 1964 A. W. Goldie [1] posed the problem of determining all rings with identity and minimal condition on left ideals which are faithfully represented on the right side of their left socle. Goldie showed that such a ring which is indecomposable and in which the left and right principal indecomposable ideals have, respectively, unique left and unique right composition series is a complete blocked triangular matrix ring over a skewfield. The general problem suggested above is very difficult. We obtain results under certain natural restrictions which are much weaker than the restrictive assumptions made by Goldie.

We characterize those rings in which the principal indecomposable left ideals each contain a unique minimal left ideal (Theorem (4.2)). It is sufficient to handle indecomposable rings (Lemma (1.4)). Such a ring is also a blocked triangular matrix ring. There exist r positive integers K₁,..., K_r such that the i,j^th block of a typical matrix is a K_i x K_j matrix with arbitrary entries in a subgroup D_ij of the additive group of a fixed skewfield D. Each D_ii is a sub-skewfield of D and D_ri = D for all i. Conversely, every matrix ring which has this form is indecomposable, faithfully represented on the right side of its left socle, and possesses the property that every principal indecomposable left ideal contains a unique minimal left ideal.

The principal indecomposable left ideals may have unique composition series even though the ring does not have minimal condition on right ideals. We characterize this situation by defining a partial ordering ρ on {i, 2,...,r} where we set iρj if D_ij ≠ 0. Every principal indecomposable left ideal has a unique composition series if and only if the diagram of ρ is an inverted tree and every D_ij is a one-dimensional left vector space over D_ii (Theorem (5.4)).

We show (Theorem (2.2)) that every ring A of the type we are studying is a unique subdirect sum of less complex rings A₁,...,A_s of the same type. Namely, each A_i has only one isomorphism class of minimal left ideals and the minimal left ideals of different A_i are non-isomorphic as left A-modules. We give (Theorem (2.1)) necessary and sufficient conditions for a ring which is a subdirect sum of rings A_i having these properties to be faithfully represented on the right side of its left socle. We show ((4.F), p. 42) that up to technical trivia the rings A_i are matrix rings of the form

[...]. Each Q_j comes from the faithful irreducible matrix representation of a certain skewfield over a fixed skewfield D. The bottom row is filled in by arbitrary elements of D.

In Part V we construct an interesting class of rings faithfully represented on their left socle from a given partial ordering on a finite set, given skewfields, and given additive groups. This class of rings contains the ones in which every principal indecomposable left ideal has a unique minimal left ideal. We identify the uniquely determined subdirect summands mentioned above in terms of the given partial ordering (Proposition (5.2)). We conjecture that this technique serves to construct all the rings which are a unique subdirect sum of rings each having the property that every principal-indecomposable left ideal contains a unique minimal left ideal.

New doubly periodic waves of the (2+1)-dimensional double sine-Gordon equation

New exact solutions of the (2 + 1)-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein-Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions.

Ouvir na pele o terceiro som: ficções experimentadas e transformações sensoriais

A pesquisa surgiu a partir de investigações e experiências próprias com a escuta, a produção de sonoridades, a criação de ambientes e a realização de derivas intersensoriais. A articulação se dá segundo uma perspectiva transdisciplinar e em relação a alguns trabalhos art��sticos e textuais especialmente significativos. A construção do sensorial e das subjetividades e suas possibilidades de transformação e emancipação, através de uma arte vinculada à vida, são quest��es centrais. Os conceitos de fabulação, linhas, cartografias e desterritorializações desenvolvidos por Deleuze, a ecosofia de Félix Guattari e a noção de corpos vibráteis em Suely Rolnik são fundamentais, assim como as observações de Lygia Clark e Hélio Oiticica a respeito de suas próprias experiências. Estudos hist��ricos e culturais dos sentidos, como os de Constance Classen e David Howes, além de observações de teóricos distintos como Karl Marx, Walter Benjamin, Michel Serres e Jacques Ranciére auxiliam a traçar um panorama inicial do constructo sensorial no Ocidente moderno e contemporâneo. Quest��es relativas a som, silêncio e ruído levaram à utilização de conceitos como escuta e ressonância em um sentido ampliado, que não se restringe a fenômenos sonoros ou físicos. A articulação entre escuta, intersensorialidade, imaginação e memória contribuiu para o desenvolvimento inicial do conceito de terceiro som aqui presente. A percepção do texto como ativador de sensações e devaneios, as relações entre conceito e concreto e o relato não-realista de acontecimentos levaram às ficções experimentadas. O ato da deriva relaciona-se ao desregramento de todos sentidos e implica a vivência de margens, desvios e extremos, fronteiras em dissolução, diásporas nos interst��cios. Poéticas e políticas da alteridade, da diferença e do estranhamento fazem-se presentes em experiências de um ambiente-vivo, paisagem-corpo-outro. Tais quest��es atravessam meus trabalhos, que são realizados de diferentes maneiras, em cartografias e rituais que podem incluir sons, textos, desenhos, objetos, fotografia, vídeos, vestimentas, ações, situações, etc. A abordagem das quest��es presentes se dá através de algumas passagens por escritores como Rimbaud, Borges e Italo Calvino; teóricos de diferentes áreas, como Guy Brett, Douglas Kahn, De Certeau, Michel Onfray, James J.Gibson e Donna Haraway; e trabalhos e textos de diversos artistas fundamentais, como Marcel Duchamp, John Cage, Allan Kaprow, George Maciunas e o Fluxus, Yoko Ono, Laurie Anderson, Gordon-Matta-Clark, Robert Smithson, Bill Viola, Cildo Meireles e Lygia Pape, entre outros