Robust locally testable codes and products of codes

We continue the investigation of locally testable codes, i.e., error‐correcting codes for which membership of a given word in the code can be tested probabilistically by examining it in very few locations. We give two general results on local testability: First, motivated by the recently proposed notion of robust probabilistically checkable proofs, we introduce the notion of robust local testability of codes. We relate this notion to a product of codes introduced by Tanner and show a very simple composition lemma for this notion. Next, we show that codes built by tensor products can be tested robustly and somewhat locally by applying a variant of a test and proof technique introduced by Raz and Safra in the context of testing low‐degree multivariate polynomials (which are a special case of tensor codes). Combining these two results gives us a generic construction of codes of inverse polynomial rate that are testable with poly‐logarithmically many queries. We note that these locally testable tensor codes can be obtained from any linear error correcting code with good distance. Previous results on local testability, albeit much stronger quantitatively, rely heavily on algebraic properties of the underlying codes. © 2006 Wiley Periodicals, Inc. Random Struct. Alg., 2006     

Hydroxide ion initiated reactions under phase transfer catalysis conditions II. The roles of water and quat

The effects of water molecules and quat structure are shown to be significant in determining the behavior of alkylation reactions of weakly acidic carbon acids under PTC/OH^? conditions.     

Constructing the CF3 group; unique trifluorodecarboxylation induced by BrF3

A variety of 2-alkyl-1,3-dithiane-2-carboxylic acids was prepared from the appropriate alkyl halides, 1,3-dithiane and CO₂. These acids were reacted with BrF₃ to form the trifluoromethylalkyl derivatives via a combination of ionic and radical trifluorodecarboxylation in about 50-60% yield.     

The synthesis of 6,6′-cyclo-6′-deoxyhexofuranosyluracils via a diazomethane-promoted ring-enlargement reaction

The protected 5′-oxo-6,5′-cyclouridine 13 reacts with diazomethane to afford mostly the spiro-epoxide 18 (79%), but it also undergoes ring-expansion to give the corresponding 5′-oxo-6,6′-cyclonucleoside 16. Under the conditions of the reaction, ketone 16 reacts further with diazomethane to give the enol ether 20 (12% overall), the isomeric 4-methoxy nucleoside 15 (2%), and the spiro-epoxide 19 (4.4%). Acid hydrolysis of the enol ether 20 , followed by reduction of the resulting ketone with sodium borohydride, affords a separable mixture of the 5′S (L-talo) and 5′R (D-allo) methylene-bridged cyclonucleosides 7 and 8 , respectively. From proton nmr measurements, it appears that the 6′-methylene groups of these cyclonucleosides project towards the 2′,3′-edge of the furanose ring.     

Directed Evolution of a Soluble Human IL-17A Receptor for the Inhibition of Psoriasis Plaque Formation in a Mouse Model

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Highlights? IL-17 is involved in many inflammatory diseases ? Directed evolution of IL-17A receptor results in improved IL-17A affinity ? The engineered receptors efficiently inhibit IL-17A induced cytokine secretion ? Engineered receptor promotes the recovery of psoriasis plaques in mouse model     

A novel method for the preparation of alpha,alpha'-difluoroesters and acids using BrF3

Alkyl-, haloalkyl-, and ketoalkyl-2-ethoxycarbonyl-1,3-dithianes were easily made from the appropriate primary or secondary alkyl bromides, 1,3-dithiane, and ethyl chloroformate. They were reacted with BrF(3) to form the corresponding alpha,alpha-difluoro esters in 65-75% yield. Reaction conditions are very mild (1-2 min, 0 degrees C). The two sulfur atoms of the dithiane are essential for the reaction.     

Non-Expansive Hashing

non-expansive hashing scheme, similar inputs are stored in memory locations which are close. We develop a non-expansive hashing scheme wherein any set of size from a large universe may be stored in a memory of size (any , and ), and where retrieval takes operations. We explain how to use non-expansive hashing schemes for efficient storage and retrieval of noisy data. A dynamic version of this hashing scheme is presented as well. Received: February 5, 1996     

Gundelia tournefortii: Fractionation,Chemical Composition and GLUT4 Translocation Enhancement in Muscle Cell Line

Type 2 diabetes (T2D) is a chronic metabolic disease, which could affect the daily life of patients and increase their risk of developing other diseases. Synthetic anti-diabetic drugs usually show severe side effects. In the last few decades, plant-derived drugs have been intensively studied, particularly because of a rapid development of the instruments used in analytical chemistry. We tested the efficacy of Gundelia tournefortii L. (GT) in increasing the translocation of glucose transporter-4 (GLUT4) to the myocyte plasma membrane (PM), as a main strategy to manage T2D. In this study, GT methanol extract was sub-fractionated into 10 samples using flash chromatography. The toxicity of the fractions on L6 muscle cells, stably expressing GLUTmyc, was evaluated using the MTT assay. The efficacy with which GLUT4 was attached to the L6 PM was evaluated at non-toxic concentrations. Fraction 6 was the most effective, as it stimulated GLUT4 translocation in the absence and presence of insulin, 3.5 and 5.2 times (at 250 μg/mL), respectively. Fraction 1 and 3 showed no significant effects on GLUT4 translocation, while other fractions increased GLUT4 translocation up to 2.0 times. Gas chromatography–mass spectrometry of silylated fractions revealed 98 distinct compounds. Among those compounds, 25 were considered anti-diabetic and glucose disposal agents. These findings suggest that GT methanol sub-fractions exert an anti-diabetic effect by modulating GLUT4 translocation in L6 muscle cells, and indicate the potential of GT extracts as novel therapeutic agents for T2D.