An lp oblivious subspace embedding is a distribution over r × n matrices Π such that for any fixed n× d matrix A, Pr Π [for all x, ‖Ax‖p ≤ ‖ΠAx‖p ≤ κ‖Ax‖p] ≥ 9/10, where r is the dimension of the embedding, κ is the distortion of the embedding, and for an n-dimensional vector y, ‖y‖p = ( ∑n i=1 |yi|) 1/p is the lp-norm. Another important property is the sparsity of Π, that is, the maximum numbe...

A series of poly(o-/m-toluidine-co-o-/m-chloroaniline) copolymers of different compositions were synthesized by an emulsion method with ammonium persulfate as the oxidant. The conductivity of the copolymers was two to five orders of magnitude higher than that of the homopolymers poly(o-toluidine) and poly(m-chloroaniline). Among the copolymers, the copolymer of o-toluidine and m-chloroaniline e...

Experimentally determined changes in free energy (delta G(o)) for thymine-thymine interactions occurring in oligo(dT).poly(dA) are dependent on the method used for preparation of the double-stranded template. A rapid laser cross-linking technique was used to examine the equilibrium between oligomers of (dT) bound to either poly(dA) or poly(rA). The single-pulse (4-6 nsec) ultraviolet laser exci...

We consider the problem of learning unions of rectangles over the domain [b]n, in the uniform distribution membership query learning setting, where both b and n are “large”. We obtain poly(n, log b)-time algorithms for the following classes: • poly(n log b)-way MAJORITY of O( log(n log b) log log(n log b))-dimensional rectangles. • Union of poly(log(n log b)) many O( log (n log b) (log log(n lo...

We have developed a facile, scalable method for preparation of enzyme-responsive copolypeptide vesicles that requires no protecting groups or expensive components. We designed amphiphilic copolypeptides containing segments of water-soluble methionine sulfoxide, M(O), residues that were prepared by synthesis of a fully hydrophobic precursor diblock copolypeptide, poly(l-methionine)65-b-poly(L-le...

The role of cobalt(II) complexes containing 2-formylpyrrolyl chelating ligands and phosphine ligands combined with a bromo-alkyl ester, an alkyl bromide or an azo compound in the formation of suitable initiator systems for vinyl monomer controlled radical polymerization was studied. The formation of syndiotactic-rich (Pr>0.7) poly(methyl methacrylate) (PMMA) and atactic (Pr=0.49) poly(styrene) ...

As part of an educational exercise designed to introduce school students the technique single-crystal X-ray diffraction and enhance their understanding primary secondary bonding, a group nine was given opportunity prepare new compounds solve refine data collected on crystalline materials they had prepared. Their investigation alkali metal salts 4-hydroxybenzoic acid (H 2 hba) yielded structures...

Let D ={d1, d2, ...dD} be a given set of D string documents of total length n, our task is to index D, such that the k most relevant documents for an online query pattern P of length p can be retrieved efficiently. We propose an index of size |CSA|+ n logD(2 + o(1)) bits and O(ts(p)+k log log n+poly log log n) query time for the basic relevance metric term-frequency, where |CSA| is the size (in...