an analytical equation of state (eos) developed by ihm-song-mason (ism) has been applied tocalculate some thermophysical properties of molten polymers including poly (1-octene) (po), poly (vinylmethyl ether) (pvme), poly (vinyl chloride) (pvc), and poly (styrene) (ps). three temperature-dependentparameters of the ism eos have been determined based on the alternative scaling constants, dispersiv...

We give algorithms for approximation by low-rank positive semidefinite (PSD) matrices. For symmetric input matrix A ∈ Rn×n, target rank k, and error parameter ε > 0, one algorithm finds with constant probability a PSD matrix Ỹ of rank k such that ‖A− Ỹ ‖2F ≤ (1+ε)‖A−Ak,+‖ 2 F , where Ak,+ denotes the best rank-k PSD approximation to A, and the norm is Frobenius. The algorithm takes time O(nnz(A...

We study the 2-center problem with outliers in high-dimensional data streams. Given a stream of points in arbitrary d dimensions, the goal is to find two congruent balls of minimum radius covering all but at most z points. We present a (1.8 + ε)approximation streaming algorithm, improving over the previous (4+ε)-approximation algorithm available for the problem. The space complexity and update ...

The problem of testing monotonicity of a Boolean function f : {0, 1}n → {0, 1} has received much attention recently. Denoting the proximity parameter by ε, the best tester is the non-adaptive Õ( √ n/ε) tester of Khot-Minzer-Safra (FOCS 2015). Let I(f) denote the total influence of f . We give an adaptive tester whose running time is I(f)poly(ε logn).

We give a nonstandard variant of Jordan’s proof of the Jordan curve theorem which is free of the defects his contemporaries criticized and avoids the epsilontic burden of the classical proof. The proof is selfcontained, except for the Jordan theorem for polygons taken for granted.

Vinyl functionalized poly (ε-caprolactone) with molar mass ranging from 500–5000 Da were synthesized by ring opening polymerization and further photopolymerized. One-step synthesis and functionalization is achieved based on ring opening polymerization (ROP). Hydroxyl butyl vinyl ether (HBVE) was employed to play the role as the initiator of ROP, and photo-curable functional group. The presence ...

The preference of red imported fire ants, Solenopsis invicta, for microencapsulated (MC) pyriproxifen based corn grit baits (P-bait) was conducted in laboratory and field conditions. A positive correlation between the microencapsulation rate and water tolerance ability of P-bait was observed. A 20% increment of water tolerance ability of P-baits was observed when P-baits were microencapsulated ...