Relative entropy maximization and directed diffusion equations

Motivated by the concept of maximum entropy methods in signal and image processing, we introduce and discuss a class of ‘directed diffusion equations’ with suitable boundary conditions. The paradigmatic ‘directed diffusion equation’ is The relative entropy $ Sb[f](t): = - \int_\Omega {f(t,x)} \;\ln \;(f(t,x)/b(x))dx $ is rapidly increasing along solution trajectories of (i). This suggests that solving (i) will yield efficient procedures for entropy maximization. We also discuss the asymptotic behavior of solutions of (i)—this is readily done because (i) has a large family of Ljapunov functionals.     

Nachweis der Exposition gegen O,O-Dimethyl-O-(3-methyl-4-nitrophenyl)-thiophosphat durch die Bestimmung von p-Nitro-m-kresol im Harn

Zusammenfassung Die spektrophotometrische Bestimmung von p-Nitro-m-kresol bei 400 nm wurde zum Zweck eines frühzeitigen und empfindlichen Nachweises der Exposition, sowie zur Untersuchung des Metabolismus von Metation (Folithion, Sumithion) modifiziert. Nach der sauren Hydrolyse von Harn beseitigt man die Harnpigmente durch Oxydation mit H₂O₂ und durch Abtrennung von p-Nitro-m-kresolat durch Ausschütteln mit Acetonitril aus 5 n Natronlauge. Die Ausbeute der Rückgewinnung bei einer Konzentration von 0,5 ppm p-Nitro-m-kresol betrug 97,3±6,3%, bei 5 ppm 92,6±2,4%. Bei stark pigmentierten Harnen (insbesondere tierischer Herkunft) wird eine weitere Reinigung vorgenommen und zwar durch die Beseitigung der Abbauprodukte mit Oxalatpuffer aus Toluol. Die Ausbeute betrÄgt bei 0,5 ppm 86,5±5,1%, bei 5 ppm 85,2±3,1%. Die untere Bestimmungsgrenze liegt bei 1,5 g p-Nitro-m-kresol in 10 ml Harn (0,15 ppm).

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Summary The early and sensitive detection of an exposure to Metation (Folithion, Sumithion) has been performed by a modified spectrophotometric determination of p-nitro-m-cresol in the urine at 400nm. After acid hydrolysis of the urine the pigments are removed by means of oxidation with H₂O₂ and separation of p-nitro-m-cresol by extraction from 5 N NaOH solution into acetonitrile. The recovery of p-nitro-m-cresol was 97.3±6.3% and 92.6±2.4% with concentrations of 0.5 ppm and 5 ppm, respectively. Further purification is required for highly pigmented urines (especially of animal origin), viz., the removal of decomposition products by extraction from toluene solution into oxalate buffer. 86.5±5.1% and 85.2±3.1% have been recovered with concentrations of 0.5 ppm and 5 ppm, respectively. The lower limit of determination is 1.5 g of p-nitro-m-cresol in 10 ml of urine (0.15 ppm).

     

Verbesserte Apparatur zur Bestimmung der primären Aminogruppe

Zusammenfassung Die früher beschriebene Apparatur zur Bestimmung der primären Aminogruppe wurde verbessert. Auch die Handhabung wurde vereinfacht. Die einzelnen Teile der Apparatur (Desaminierungsteil, Absorber) können nun unabhängig voneinander ausgewaschen und luftfrei gemacht werden. Die Absorber sind für etwa 30 bis 50 Analysen benützbar, bevor sie erneuert werden müssen.

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Summary The apparatus previously described for the determination of primary amino groups has been improved. Also the manipulation is simplified. The individual segments of the apparatus (deamination part, absorber) can now be washed out independently of each other, and rendered free of air. The absorbers may be used for around 30 to 50 analyses before they must be renewed.

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Der Firma P. Haack, Wien danken wir für das besondere Entgegen-Kommen bei der Entwicklung der Apparatur.     

Neue anorganische Ringsysteme. 34. Derivate eines Cyclo-1-thiaIV- und eines Cyclo-1-thiaIV- 3,4-disila-2,5-diazans

Novel Inorganic Ring Systems. 34. Derivatives of the Cyclo-1-thia^IV- and of the Cyclo-1-thia ^VI-3,4-disila-2,5-diazane Variations of fivemembered “hetero” cyclosilazanes of the type Si₂N₂El could be enlarged to the systems with El = SO and SO₂. They are obtained by the formation principles 4 + 1 and 2 + 3 respectively, according to the equation (1), (4) and (5). The prepared compound are described in their properties and confirmed in their structure (Tables 1–2).     

Synthetically attractive indolization processes and newer methods for the preparation of selectively substituted indoles

The synthetically interesting processes available for indolization reactions are discussed and illustrated in tabular form and particular emphasis is placed on the more recent methods.     

Zur komplexchemie von 4-zentren-π-systemen : VIII. ESR-untersuchungen an heterobutadien-chelaten. I. Kalium-(diazabutadien-tetracarbonyl-metallate)

Glyoxal- and diacetyl-bis(imine)metal tetracarbonyls (RNCR′CR′NR)M(CO)₄ (M = Cr, Mo, W) are reduced with potassium in DME to give paramagnetic mono-anions. Their high-resolutior, ESR spectra show the hyperfine splittings of the magnetically active ligand atoms as well as the satellites of the metal isotopes ⁵³Cr,^95,97Mo and ¹⁸³W. The coupling constants are discussed with respect to π-bonding mechanisms.     

Quecksilber(II)-Titrationen mit Variaminblau als Redoxindicator

Zusammenfassung Es wird eine volumetrische Methode zur Bestimmung von Cyanid- und Quecksilber(II)-ionen mit titrierter Quecksilber(II)-nitratlösung gegen Variaminblau als Indicator beschrieben. Das Verfahren liefert genaue, wenig streuende Werte.Vorgetragen auf der III. Arbeitstagung für analytische Chemie in Prag am 1. September 1959.     

A case study in conformation design: learning by doing

Efforts are described to design simple, fully flexible but conformationally preorganised omega-hydroxy-nonanoic acids that could serve as the conformation controlling unit in analogues of the potent protein-kinase C activator aplysiatoxin. Such analogues are macrodilactones incorporating the designed omega-hydroxy-nonanoic acid and 3,4-dihydroxy-pentanoic acid, which contains the pharmacophoric groups. The design process (replacement of CH(2) groups by an oxygen atom, annelation of a six-membered ring and placement of alkyl substituents) of the omega-hydroxy-nonanoic acids was monitored by force-field calculations. In the end of this process simple analogues of aplysiatoxin are proposed in which the proper disposition of the pharmacophoric groups is secured by a conformationally flexible but preorganised template structure as part of the macrodilactone ring.