The symmetric encryption problem which manifests itself when two parties must securely transmit a message m with a short shared secret key is considered in conjunction with a computationally unbounded adversary. As the adversary is unbounded, any encryption scheme must leak information about m; in particular, the mutual information between m and its… (More)
In this paper, the concept of weakly compact set in L-fuzzy topological space have been introduced. The characterization of weakly compact set are researched. Also it is pointed out that weakly compactness is an L-good extension of usual weak compactness. compact set，fuzzy mapping.
Let k, t and n be three integers with t ~ 2, k ~ 2t and n ~ 3t. We conjecture that if G is a graph of order n with minimum degree at least k, then G contains t vertex-disjoint cycles covering at least min(2k, n) vertices of G. We will show the conjecture to be true for t = 2.
We propose a conjecture: for each integer k 2:: 2, there exists N (k) such that if G = (Vb \12; E) is a bipartite graph with IV 1 1 = 1\121 = n 2: N(k) and d(x) + d(y) 2: n + k for each pair of non-adjacent vertices x and y of G with x E V 1 and y E \12, then for any k independent edges Let k be a positive integer and let G = (Vi, \12; E) be a bipartite… (More)
Magnetic Resonance Imaging (MRI), being noninvasive and having no radiation hazards, provides abundant tissue information and has become an efficient instrument for clinical diagnoses and research in recent years. When tissues are classified by means of MRI, the images are multi-spectral. Therefore, if only a single image with a certain spectrum is… (More)
An asteroid landing trajectory optimization method is studied based on Gauss Pseudo-spectral. Firstly, we analyze the characteristics of probe landing on asteroid, and put forward the initial conditions, process constraints, terminal constraints and the optimization performance index. The probe's landing trajectory optimization should meet the index.… (More)
Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are discussed. The results can be used as powerful tools in the analysis of certain classes of differential equations, integral equations, and evolution equations. An example is presented to show boundedness of solution of a differential equation here.
A graph G of order n is k-placeable if there exist k edge-disjoint copies of G in the complete graph K n. Previous work characterized all trees that are k-placeable for k ≤ 3. This work extends those results by giving a complete characterization of all 4-placeable trees.
We conjecture that if k ≥ 2 is an integer and G is a graph of order n with minimum degree at least (n + 2k)/2, then for any k independent edges e 1 ,. passes through e i for all 1 ≤ i ≤ k. We show that this conjecture is true for the case k = 2. The minimum degree condition is sharp in general.
We have fabricated the TaN– ͓SiO 2 – LaAlO 3 ͔ – ZrON– ͓LaAlO 3 – SiO 2 ͔ – Si charge-trapping flash device with highly scaled 3.6 nm equivalent-Si 3 N 4-thickness. This device shows large 4.9 V initial memory window, and good retention of 3.4 V ten-year extrapolated retention window at 85 ° C, under very fast 100 s and low Ϯ16 V program/erase. These… (More)