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A convenient,effcient and environmentally benign procedure has been developed for the synthesis of pyrano[4,3-b]pyran derivatives via a one-pot,three-component reaction of 4-hydroxy-6-methylpyran-2-one,aldehydes and malononitrile in water using H6P2W18O62á18H2O as catalyst.Reusability of the catalyst and reaction media,short reaction times and easy isolation of products are some added advantages of the present methodology. 相似文献
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图的邻点可区别全色数的一个上界 总被引:5,自引:0,他引:5
Let G = (V, E) be a simple connected graph, and |V(G)| ≥ 2. Let f be a mapping from V(G) ∪ E(G) to {1,2…, k}. If arbitary uv ∈ E(G),f(u) ≠ f(v),f(u) ≠ f(uv),f(v) ≠ f(uv); arbitary uv, uw ∈ E(G)(v ≠ w), f(uv) ≠ f(uw);arbitary uv ∈ E(G) and u ≠ v, C(u) ≠ C(v), where
C(u)={f(u)}∪{f(uv)|uv∈E(G)}.
Then f is called a k-adjacent-vertex-distinguishing-proper-total coloring of the graph G(k-AVDTC of G for short). The number min{k|k-AVDTC of G} is called the adjacent vertex-distinguishing total chromatic number and denoted by χat(G). In this paper we prove that if △(G) is at least a particular constant and δ ≥32√△ln△, then χat(G) ≤ △(G) + 10^26 + 2√△ln△. 相似文献
C(u)={f(u)}∪{f(uv)|uv∈E(G)}.
Then f is called a k-adjacent-vertex-distinguishing-proper-total coloring of the graph G(k-AVDTC of G for short). The number min{k|k-AVDTC of G} is called the adjacent vertex-distinguishing total chromatic number and denoted by χat(G). In this paper we prove that if △(G) is at least a particular constant and δ ≥32√△ln△, then χat(G) ≤ △(G) + 10^26 + 2√△ln△. 相似文献
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对圈、扇和轮作了简单的剖分,得到了其剖分图的星全色数,并运用Lovasz局部引理证明了若G(V,E)是一个最大度为△≥3的简单无向图,则Χ_(st)(G)≤22Δ~2. 相似文献
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提出了图的Smarandachely邻点无圈边染色的概念,讨论了图的Smarandachely 邻点无圈边染色与邻点可区别无圈边染色之间的关系,并运用概率方法得到了图G的Smarandachely邻点无圈边色数的一个上界,其中G为无孤立边的图. 相似文献
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Replication of human immunodeficiency virus type 1 (HIV-1) requires specific interactions of Tat protein with the transactivation responsive region (TAR) RNA. Disruption of Tat-TAR RNA interaction could inhibit HIV-1 replication. Here four target compounds were designed and synthesized to bind to TAR RNA for blocking the interaction of Tat-TAR RNA. The core molecule 6,6'-diamino-6,6' -dideoxy-α,α-trehalose was obtained from selective bromination of α,α-trehalose at C-6,6', fo… 相似文献
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利用Utev S.和Peligrad M.不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果. 相似文献
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本文依据历史资料,简述了国际理论与应用力学联合会(International Union of Theoretical and Applied Mechanics,IUTAM)的建立过程,以及中国力学学会 (Chinese Society of Theoretical and Applied Mechanics,CSTAM) 1980年加入国际理论与应用力学联合会的一些情况,供大家研究力学史时参考。 相似文献
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本文研究了Szász-Mirakjan算子加权同时逼近的问题.利用加权光滑模ω2φλ(f,t)u,获得了Szász-Mirakjan算子加权同时逼近的点态结果,推广了已知的结果. 相似文献
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