Automorphismes induits et valeurs propres

Summary Let T be an aperiodic automorphism on a non atomic probability space (W,A,P), A being a countably generated tribe. It is shown that for all >0 and all alo, there exists A, such that P(A)1–, and such that the automorphism T_A induced by T on A admits exp(2 i a) as a proper value.     

Weight‐Reduction of Sandwich Structures by an Efficient Topology Optimization Technique

A heuristic algorithm for the weight minimization of sandwich structures by a specific kind of topology optimization is presented. The method employs a preexisting algorithm for the layerwise topology optimization of symmetric laminates under in‐plane loads and expands this method for the case of bending. During the optimization procedure the algorithm adds or subtracts material from the layers of the face sheets and the core of the sandwich plate in regions of high or low stresses respectively. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Anti-Inflammatory and Antinociceptive Activities of the Essential Oil of Tagetes parryi A. Gray (Asteraceae) and Verbenone

Tagetes parryi is a plant empirically used to treat gastrointestinal and inflammatory diseases, its essential oil (EOTP) was obtained from the aerial parts, and the composition was elucidated by GC-MS. The in vivo and in vitro anti-inflammatory activities and the antinociceptive activity of EOTP and (1S)-(-)-verbenone (VERB) were assessed. The major compounds identified for EOTP were verbenone (33.39%), dihydrotagetone (26.88%), and tagetone (20.8%). EOTP and VERB diminished the ear oedema induced with TPA by 93.77 % and 81.13 %, respectively. EOTP and VERB decreased inflammation in a 12-O-tetradecanoylphorbol-13-acetate (TPA) chronic model with ED₅₀ = 54.95 mg/kg and 45.24 mg/kg, respectively. EOTP (15 µg/mL) inhibited the in vitro production of the pro-inflammatory mediators NO (67.02%), TNF-α (69.21%), and IL-6 (58.44%) in LPS-stimulated macrophages. In the acetic induced writhing test, EOTP and VERB showed antinociceptive effects with ED₅₀ = 84.93 mg/kg and ED₅₀ = 45.24 mg/kg, respectively. In phase 1 of the formalin test, EOTP and VERB showed no antinociceptive effects, whereas in phase 2, EOTP (ED₅₀ = 35.45 mg/kg) and VERB (ED₅₀ = 24.84 mg/kg) showed antinociceptive effects. The antinociceptive actions of ETOP and VERB were blocked with the co-administration of L-NAME. This study suggests that EOTP and VERB might be used in the treatment of pain and inflammatory problems.     

Information processing in three-state neural networks

We introduce networks of three-state neurons, where the additional state embodies the absence of information. Their dynamical behavior is studied from the standpoint of information processing. These networks display strong pattern completion capabilities. Moreover, inference naturally occurs between coherent patterns.     

Atmospheric chemistry of C3-C6 cycloalkanecarbaldehydes

The rate coefficients for the gas phase reaction of NO3 and OH radicals with a series of cycloalkanecarbaldehydes have been measured in purified air at 298 +/- 2 K and 760 +/- 10 Torr by the relative rate method using a static reactor equipped with long-path Fourier transform infrared (FT-IR) detection. The values obtained for the OH radical reactions (in units of 10(-11) cm3 molecule(-1) s(-1)) were the following: cyclopropanecarbaldehyde, 2.13 +/- 0.05; cyclobutanecarbaldehyde, 2.66 +/- 0.06; cyclopentanecarbaldehyde, 3.27 +/- 0.07; cyclohexanecarbaldehyde, 3.75 +/- 0.05. The values obtained for the NO3 radical reactions (in units of 10(-14) cm3 molecule(-1) s(-1)) were the following: cyclopropanecarbaldehyde, 0.61 +/- 0.04; cyclobutanecarbaldehyde, 1.99 +/- 0.06; cyclopentanecarbaldehyde, 2.55 +/- 0.10; cyclohexanecarbaldehyde, 3.19 +/- 0.12. Furthermore, the reaction products with OH radicals have been investigated using long-path FT-IR spectroscopy and proton-transfer-reaction mass spectrometry (PTR-MS). The measured carbon balances were in the range 89-97%, and the identified products cover a wide spectrum of compounds including nitroperoxycarbonyl cycloalkanes, cycloketones, cycloalkyl nitrates, multifunctional compounds containing carbonyl, hydroxy, and nitrooxy functional groups, HCOOH, HCHO, CO, and CO2.     

Sur le problème des marges

Summary LetX be a set,A an algebra of subsets ofX, m andM two mappings fromA to . Then there exists a finitely additive measure onA such thatmM if and only if for all the sequences (A ₁, ...,A _p ) and (B ₁, ...,B _q ) inA such that the inequality is satisfied. This simple condition permits us to deduce and generalize many previous results relating to the marginal problem.     

The Application of Trichloroacetic Acid as an Ion Pairing Reagent in LC–MS–MS Method Development for Highly Polar Aminoglycoside Compounds

A simple, sensitive and robust liquid chromatography-tandem mass spectrometry method was developed and validated for highly polar aminoglycoside compounds gentamicin, kanamycin and apramycin. The effect of trichloroacetic acid (TCA) concentration on plasma protein precipitation and sample recovery was studied and an optimized concentration of 25–30% TCA were determined that gives the best sample recovery for aminoglycosides from rat plasma. The effect of TCA concentration on the chromatographic behavior of gentamicin and tobramycin was studied on a Synergy Max RP-column using a mobile phase with a pH of 2.78. Other than protein precipitation, TCA also acted as ion pairing reagent and was only present in the samples but not in the mobile phases. The data demonstrated that by increasing the TCA concentration, the analyte retention and sensitivity were improved. The absence of TCA in mobile phase helped to reduce the ion source contamination and to achieve good reproducibility. The plasma method was linearly calibrated from 1–5,000, 20–10,000, 10–10,000 ng mL^?1 with precisions of 2.6–4.1, 3.3–5.0, 1.5–9.9%, and accuracies of 94.7–103.7, 87.9–104.9, 91.3–103.6% for gentamicin, kanamycin and apramycin, respectively. The LLOQs corresponding with a coefficient of variation less than 20% were 1, 20 and 10 ng mL^?1 for gentamicin, kanamycin and apramycin, respectively.     

Mesures marginales et théorème de Ford-Fulkerson

Sans résumé