Ladder-type conjugated polymers (LCPs) have attracted extensive attention in rechargeable lithium-ion batteries (LIBs) due to their inherent stability, poor solubility, tunable structure, and strong π—π intermolecular interactions. Herein, we describe the synthesis of two heteroatom nitrogen/oxygen-rich LCPs (TABQ-NTCDA, named TNL, TABQ-PMDA, TPL) by polycondensation reaction tetromino-benzoqui...

Based on the concept of the regularized central path, a new non-interior-point path-following algorithm is proposed for solving the P0 linear complementarity problem (P0 LCP). The condition ensuring the global convergence of the algorithm for P0 LCPs is weaker than most previously used ones in the literature. This condition can be satisfied even when the strict feasibility condition, which has ...

Geosocial networks are online social networks centered on the locations of subscribers and businesses. Providing input to targeted advertising, profiling social network users becomes an important source of revenue. Its natural reliance on personal information introduces a trade-off between user privacy and incentives of participation for businesses and geosocial network providers. In this paper...

This paper presents a numerically robust algorithm for solving linear complementarity problems (LCPs), and applies it to simulation of frictional contacts of articulated rigid bodies each modeled as a general polygonal object. We first point out two problems of the popular pivot-based LCP solver called Lemke Algorithm and its extension with lexicographic ordering, due to numerical errors especi...

Histones are frequently decorated with covalent modifications. These histone modifications are thought to be involved in various chromatin-dependent processes including transcription. To elucidate the relationship between histone modifications and transcription, we derived quantitative models to predict the expression level of genes from histone modification levels. We found that histone modifi...

An extension of the linear complementarity problem (LCP) of mathematical programming is the so-called rational complementarity problem (RCP). This problem occurs if com-plementarity conditions are imposed on input and output variables of linear dynamical in-put/state/output systems. The resulting dynamical systems are called linear complementar-ity systems. Since the RCP is crucial both in issu...

An extension of the linear complementarity problem (LCP) of mathematical programming is the so-called rational complementarity problem (RCP). This problem occurs if complementarity conditions are imposed on input and output variables of linear dynamical input/state/output systems. The resulting dynamical systems are called linear complementarity systems. Since the RCP is crucial both in issues ...

The number of individuals with age-related cognitive impairment is rising dramatically in the UK and globally. There is considerable interest in the general hypothesis that improving the diet of older people may slow the progression of cognitive decline. To date, there has been little attention given to the possible protective role of n-3 long-chain polyunsaturated fatty acids (n-3 LCPs) most c...

We suggest new pseudopolynomial and subexponential algorithms for Mean Payoff Games (MPGs). The algorithms are based on representing the MPG decision problem in the forms of non-standard and standard Linear Complementarity Problems (LCPs): find w, z ≥ 0 satisfying w = Mz + q and w · z = 0, (1.1) and monotonic iterative propagation of slack updates.