Runninghead: LLN for quadratic forms. Abstract Let X; X i be i.i.d. real random variables with EX 2 =1. Necessary and suucient conditions in terms of the law of X are given for 1 n max 1i<jn jX i X j j!0 a.s. in general and for 1 n P 1i6 =jn X i X j !0 a.s. when the variables X i are symmetric or regular and the normalizing sequence f n g is (mildly) regular. The rates of a.s. convergence of su...

Preface This is a report on the author's research initiated during the stay in GG ottingen in 1987/88 and continued over the past few years. The question posed at the very beginning was simple: to identify the area where we can still apply the classical limit theory for sums and maxima of independent random variables. Existence of asymptotic independent representations became a natural frame fo...

Soft lithography molding is a promising technique for patterning polymer integrated optical devices, however the presence of a background residue has the potential to limit the usefulness of this technique. We present the soft lithography technique for fabricating polymer waveguides. Several effects of the background residue are investigated numerically, including the modal properties of an ind...

MOTIVATION The problem of ab initio protein folding is one of the most difficult in modern computational biology. The prediction of residue contacts within a protein provides a more tractable immediate step. Recently introduced maximum entropy-based correlated mutation measures (CMMs), such as direct information, have been successful in predicting residue contacts. However, most correlated muta...

in this study the effect of different nitrogen source substrates on the amount of chitosan production by aspergillus niger was investigated. a. niger ptcc 5012 from the persian type culture collection (ptcc) was grown on soy bean, corn seed and canola residues at 30 °c for specified cultivation days under sterilized conditions. chitosan was extracted from the fungal mycelia using hot alkaline a...

The evaluation of cereal-based product contamination by pesticide residues is a topic worldwide importance, and reliable analytical methods for official check analyses monitoring studies are required multi-residue analysis at trace levels. In this work, validated multi-residual method gas-chromatography tandem mass spectrometry coupled with rapid QuEChERS procedure was used the determination 37...

the effect of different juice extraction treatments on the qualitative properties of lime juice was investigated. samples were selected from jahromi lime variety and lime juice extracted by means of a screw type juice extraction device. the mechanical parameters of the helical juice extractor [screw velocity (270, 360 and 450 rpm), outlet pressure (minimum, medium vs. maximum)] and lime pretrea...

for small cheese-making factories, with no effluent treatment plants, whey can be a serious problem and the landfarming technique represents an alternative for its disposal. however, whey may contain antibiotic residues at the maximum residue limits. therefore, in this work, we evaluated the phytotoxic effect of different concentrations of five antibiotics (enrofloxacin, kanamycin, oxytetracycl...

The toric residue is a map depending on n + 1 semi-ample divisors on a complete toric variety of dimension n . It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the as...

It is shown that the extended quadratic residue code of length 20 over GF(7) is a unique self-dual [20, 10, 9] code C such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D 20, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.