Suppose that we have a set of numbers x1, . . . , xn which have nonnegative sum. How many subsets of k numbers from {x1, . . . , xn} must have nonnegative sum? Manickam, Miklós, and Singhi conjectured that for n ≥ 4k the answer is ( n−1 k−1 ) . This conjecture is known to hold when n is large compared to k. The best known bounds are due to Alon, Huang, and Sudakov who proved the conjecture when...

In this paper we develop an adaptive algorithm for decomposition and filtering of grayscales images. This method is highly adaptive decomposition image called Bidimensional Empirical Mode Decomposition (BEMD) based in blocks. This proposed approach decomposes image into a basis functions named Intrinsic Mode Function (IMF) and residue. This method offers a good result in visual quality but it c...

This paper addresses the problem of identifying causal effects from nonexperimental data in a causal Bayesian network, i.e., a directed acyclic graph that represents causal relationships. The identifiability question asks whether it is possible to compute the probability of some set of (effect) variables given intervention on another set of (intervention) variables, in the presence of non-obser...

Traditional distribution network fault location methods often cannot be effectively applied for the structure of the branch in complex distribution network. A new accurate fault location for the single-phaseground fault in complex distribution network with structure of the branch based on Hilbert-Huang transform was proposed in this paper. First, the distribution network was modeled. The faults...

The current study was designed to evaluate the activity of the aqueous extract of Huang-lian, and the main apoptosis pathway induced by the extracts of Huang-lian was detected on lung cancer. Antiproliferactive activity was evaluated by 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTT) and TUNEL methods against human lung cancer cells (A549). Huang-lian regulated the Bcl-2 fami...

Multivariate Quadratic Equations over Finite Fields Heliang Huang, Wansu Bao* Zhengzhou Information Science and Technology Institute, Zhengzhou 450000, China ABSTRACT Solving systems of m multivariate quadratic equations in n variables (MQ-problem) over finite fields is NP-hard. The security of many cryptographic systems is based on this problem. Up to now, the best algorithm for solving the un...

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