The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed

In the n{body problem a central con guration is formed when the position vector of each particle with respect to the center of mass is a common scalar multiple of its acceleration vector. Lindstrom showed for n = 3 and for n > 4 that if n ? 1 masses are located at xed points in the plane, then there are only a nite number of ways to position the remaining nth mass in such a way that they de ne a central con guration. Lindstrom leaves open the case n = 4. In this paper we prove the case n = 4 using as variables the mutual distances between the particles.

1.° Joannis de Muris tractatus de mensurandi ratione. — 2.° Anonymi opus cujus is est titulus : liber practicorum geometriae. — 3.° Aultre maniere de mesurer par le gnomon, c'est a scavoir par le dos de l'astrolabe. — 4.° Alius tractatus de geometria practica. — 5.° Traité d'arithmetique.

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1.° Opus cujus is est titulus : tractatus instrumenti astronomici Magistri Leonis Judaei de Balneolis, ad summum Pontificem Clementem VI. ex hebraïca lingua in latinam anno Incarnationis 1342. conversus. — 2.° Anonymi tractatus de Deo ab aeterno, sive pars operis theologici majoris. — 3.° Anonymi postillae in epistolam ad Romanos ; et considerationes super passione Domini et Scriptura sacra.

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1.° Descriptio instrumenti cujusdam astronomici, quod Saphea vocatur : authore Joanne de Lineriis ; accedunt ejusdem canones. — 2.° Turketi tractatus, qui horizon dicitur, editus à Magistro Francone de Polonia ; sive liber de nominibus partium instrumenti astronomici, quod dicitur Turketus, et de ejusdem utilitatibus. — 3.° Opus cujus is est titulus : libri duo de motibus planetarum per instrumenta manualiter mota : hujusce operis initio haec antiqua manu annotata reperias ; Magister Henricus Arnault, Medicus Alemannus de Zuvolis, qui olim Divione domicilium elegit, superiorem litteram scripsit, et hunc librum suo labore compilavit, clarus scientia horologiorum ; qui in aede beati Stephani Divionensis sepultus media navi, plurimùm laudis sibi reliquit anno 1460. — 4.° Liber proportionum musicalium : authore Magistro Joanne de Muris, olim Canonico Parisiensi. — 5.° Philonis liber de ingeniis aquarum : finis desideratur.

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The 3' half of the mouse mammary tumor virus orf gene is not sufficient for its superantigen function in transgenic mice.

The Mouse Mammary Tumor Virus (MMTV) long terminal repeat contains an open reading frame (orf) of 960 nucleotides encoding a 36 kDa polypeptide with a putative transmembrane domain and five N-glycosylation sites in the N-terminal part of the protein. Transgenic mice bearing either the complete or the 3' terminal half of the orf sequence of MMTV-GR under the control of the SV40 promoter were raised. As shown previously by FACS analysis transgenic mice which express the complete orf gene have a significant deletion of V beta 14 expressing T cells at 6 weeks of age. Here we show that no clonal deletion of V beta 14 bearing T cells takes place in transgenic mice that contain orf sequences from the fifth ATG to the termination codon. The pattern of tissues expressing the truncated transgene was studied by the Polymerase Chain Reaction (PCR) and was very similar to the one obtained in the V beta 14 deleting animals. These data suggest that the amino-terminal portion of the ORF protein (pORF) is required for a superantigen function, while our previous data indicated that determinants from the carboxy-terminus play an important role for TCR V beta specificity.

IFN Stimulated Gene Expression in the Liver is a Better Predictor of Treatment Response in Chronic Hepatitis C than the IL28B (IFN lambda 3) Genotype

BACKGROUND: Therapy of chronic hepatitis C (CHC) with pegIFNα/ribavirin achieves a sustained virologic response (SVR) in ∼55%. Pre-activation of the endogenous interferon system in the liver is associated with non-response (NR). Recently, genome-wide association studies described associations of allelic variants near the IL28B (IFNλ3) gene with treatment response and with spontaneous clearance of the virus. We investigated if the IL28B genotype determines the constitutive expression of IFN stimulated genes (ISGs) in the liver of patients with CHC. METHODS: We genotyped 93 patients with CHC for 3 IL28B single nucleotide polymorphisms (SNPs, rs12979860, rs8099917, rs12980275), extracted RNA from their liver biopsies and quantified the expression of IL28B and of 8 previously identified classifier genes which discriminate between SVR and NR (IFI44L, RSAD2, ISG15, IFI22, LAMP3, OAS3, LGALS3BP and HTATIP2). Decision tree ensembles in the form of a random forest classifier were used to calculate the relative predictive power of these different variables in a multivariate analysis. RESULTS: The minor IL28B allele (bad risk for treatment response) was significantly associated with increased expression of ISGs, and, unexpectedly, with decreased expression of IL28B. Stratification of the patients into SVR and NR revealed that ISG expression was conditionally independent from the IL28B genotype, i.e. there was an increased expression of ISGs in NR compared to SVR irrespective of the IL28B genotype. The random forest feature score (RFFS) identified IFI27 (RFFS = 2.93), RSAD2 (1.88) and HTATIP2 (1.50) expression and the HCV genotype (1.62) as the strongest predictors of treatment response. ROC curves of the IL28B SNPs showed an AUC of 0.66 with an error rate (ERR) of 0.38. A classifier with the 3 best classifying genes showed an excellent test performance with an AUC of 0.94 and ERR of 0.15. The addition of IL28B genotype information did not improve the predictive power of the 3-gene classifier. CONCLUSIONS: IL28B genotype and hepatic ISG expression are conditionally independent predictors of treatment response in CHC. There is no direct link between altered IFNλ3 expression and pre-activation of the endogenous system in the liver. Hepatic ISG expression is by far the better predictor for treatment response than IL28B genotype.

The Pseudomonas aeruginosa antimetabolite L -2-amino-4-methoxy-trans-3-butenoic acid (AMB) is made from glutamate and two alanine residues via a thiotemplate-linked tripeptide precursor.

The Pseudomonas aeruginosa toxin L-2-amino-4-methoxy-trans-3-butenoic acid (AMB) is a non-proteinogenic amino acid which is toxic for prokaryotes and eukaryotes. Production of AMB requires a five-gene cluster encoding a putative LysE-type transporter (AmbA), two non-ribosomal peptide synthetases (AmbB and AmbE), and two iron(II)/α-ketoglutarate-dependent oxygenases (AmbC and AmbD). Bioinformatics analysis predicts one thiolation (T) domain for AmbB and two T domains (T1 and T2) for AmbE, suggesting that AMB is generated by a processing step from a precursor tripeptide assembled on a thiotemplate. Using a combination of ATP-PPi exchange assays, aminoacylation assays, and mass spectrometry-based analysis of enzyme-bound substrates and pathway intermediates, the AmbB substrate was identified to be L-alanine (L-Ala), while the T1 and T2 domains of AmbE were loaded with L-glutamate (L-Glu) and L-Ala, respectively. Loading of L-Ala at T2 of AmbE occurred only in the presence of AmbB, indicative of a trans loading mechanism. In vitro assays performed with AmbB and AmbE revealed the dipeptide L-Glu-L-Ala at T1 and the tripeptide L-Ala-L-Glu-L-Ala attached at T2. When AmbC and AmbD were included in the assay, these peptides were no longer detected. Instead, an L-Ala-AMB-L-Ala tripeptide was found at T2. These data are in agreement with a biosynthetic model in which L-Glu is converted into AMB by the action of AmbC, AmbD, and tailoring domains of AmbE. The importance of the flanking L-Ala residues in the precursor tripeptide is discussed.

The SUD1 Gene Encodes a Putative E3 Ubiquitin Ligase and Is a Positive Regulator of 3-Hydroxy-3-Methylglutaryl Coenzyme A Reductase Activity in Arabidopsis

The 3-hydroxy-3-methylglutaryl-CoA reductase (HMGR) enzyme catalyzes the major rate-limiting step of the mevalonic acid (MVA) pathway from which sterols and other isoprenoids are synthesized. In contrast with our extensive knowledge of the regulation of HMGR in yeast and animals, little is known about this process in plants. To identify regulatory components of the MVA pathway in plants, we performed a genetic screen for second-site suppressor mutations of the Arabidopsis thaliana highly drought-sensitive drought hypersensitive2 (dry2) mutant that shows decreased squalene epoxidase activity. We show that mutations in SUPPRESSOR OF DRY2 DEFECTS1 (SUD1) gene recover most developmental defects in dry2 through changes in HMGR activity. SUD1 encodes a putative E3 ubiquitin ligase that shows sequence and structural similarity to yeast Degradation of a factor (Doa10) and human TEB4, components of the endoplasmic reticulum-associated degradation C (ERAD-C) pathway. While in yeast and animals, the alternative ERAD-L/ERAD-M pathway regulates HMGR activity by controlling protein stability, SUD1 regulates HMGR activity without apparent changes in protein content. These results highlight similarities, as well as important mechanistic differences, among the components involved in HMGR regulation in plants, yeast, and animals.

Flavianate, an amino acid precipitant, is a competitive inhibitor of trypsin at pH 3.0

Textile dyes bind to proteins leading to selective co-precipitation of a complex involving one protein molecule and more than one dye molecule of opposite charge in acid solutions, in a process of reversible denaturation that can be utilized for protein fractionation. In order to understand what occurs before the co-precipitation, a kinetic study using bovine ß-trypsin and sodium flavianate was carried out based on reaction progress curve techniques. The experiments were carried out using a-CBZ-L-Lys-p-nitrophenyl ester as substrate which was added to 50 mM sodium citrate buffer, pH 3.0, containing varying concentrations of ß-trypsin and dye. The reaction was recorded spectrophotometrically at 340 nm for 30 min, and the families of curves obtained were analyzed simultaneously by fitting integrated Michaelis-Menten equations. The dye used behaved as a competitive inhibitor of trypsin at pH 3.0, with Ki = 99 µM; kinetic parameters for the substrate hydrolysis were: Km = 32 µM, and kcat = 0.38/min. The competitive character of the inhibition suggests a specific binding of the first dye molecule to His-57, the only positively charged residue at the active site of the enzyme.

1.° Suppletiones, vel additiones textus et glossarum, et ipsarum reprobationes super Infortiato, confectae per dominum Dynum. — 2.° Ejusdem additiones super Digesto novo. — 3.° Jacobi de Butrigariis lectura super paragraphum, Rursus, Inst. de actionibus. — 4.° Dyni Mugellani commentum super paragraphum, Utrum, in lege, Si is qui ducenta : Digestis de rebus dubiis. — 5.° Ejusdem additiones super Infortiato et Digesto novo

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1.° Raimundi Lullii tractatus cujus is est titulus : Compendium super lapidarium. — 2.° Ejusdem liber medicinae magnae, quae omnes infirmitates sanare docet et prorogare vitam usque ad terminum à Deo praefixum : sic enim se habet titulus. — 3.° Ejusdem tractatus de compositione et virtutibus auri potabilis.

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What is history?Y7 : a starter unit for key stage 3.

Contiene siete actividades que presentan a los alumnos las ideas clave que necesitan para el estudio de la historia. Este texto pertenece al Schools History Project creado en 1972 para ayudar a renovar la enseñanza de la historia entre los estudiantes de trece a dieciséis años. Reconsidera las formas en que la historia contribuye a las necesidades educativas de los jóvenes, y por ello idea nuevos objetivos, nuevos criterios para la planificación y desarrollo del curso, así como nuevos materiales de apoyo. Requiere nuevos criterios de evaluación y, por tanto nuevos exámenes y, adquirió mayor expansión con la introducción del General Certificate of Secondary Education (GCSE) en 1987.

This is Citizenship 3.

Cumple con todos los requisitos exigidos por el curriculum nacional inglés de 2008 para la materia de Ciudadanía en el primer ciclo de secundaria (KS3). Su contenido se divide en tres temas básicos: derechos y responsabilidades, justicia (derechos humanos y libertades civiles, los derechos y la policía, las leyes contra el terrorismo, libertad de información, ¿igualdad de oportunidades para todos?) el gobierno nacional (¿En que clase de país quieres vivir?, partidos políticos, ¿Cómo es el Reino Unido gobernado? ¿La monarquía tiene futuro en el Reino Unido?) Gran Bretaña y el mundo (resolviendo problemas globales, Gran Bretaña y la Unión Europea, ¿Por qué es tan difícil resolver conflictos en el mundo?.

trans-[Ru-III(N-N)(2)Cl-2](+) species, where N-N is bis(3,5-dimethylpyrazol-1-yl)methane

Using bis(3,5-dimethylpyrazol-1-yl)methane as an N-N donor ligand, a trans-[Ru-III(N-N)(2)Cl-2](+) core has been isolated from the direct reaction of the ligand with RuCl3 center dot xH(2)O and characterized structurally for the. first time. The core displays a rhombic EPR spectrum and a quasireversible Ru(II/III) couple with an E-1/2 of -0.34 V versus NHE. (C) 2008 Elsevier B.V. All rights reserved.