严格凸函数充分必要条件

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严格凸函数充分必要条件

关于凸函数的两个充分必要条件.pdf

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℃ [J ]. Journal of Solution Chemistry ,2003 ,32 (3) :273 -281.[10 ] 　 Piekarski H , Waliszewsk D. Hydration effect on urea2non2electrolyte enthalpic pair interaction coefficients. Dissolutionenthalpies of urea in aqueous solution of alkoxyethanols at298. 15K[J ]. Thermochimica Acta , 1995 ,258 :67 - 70.[11 ] 　 邵 爽 ,胡 新 根 ,林 瑞 森 . 水 溶 液 中 八 种 氨 基 酸 与 尿 素 的焓 相 互 作 用 [J ]. 化 学 学 报 ,2000 ,58 :1240 - 1246.The Study of the Enthalpic Interactions between Six kinds of AminoAcid and Two Acid Amides in Aqueous Solutions at 310. 15 KYANG Yan ,ZHAO Yan , SUN Hai2tao ,ZHANG Hong2lin(College of Chemical Science , Qufu Normal University ,Qufu Shangdong 273165 ,China)Abstract :The enthalpies of mixing of two acid amides and six kinds of aqueous amino acid solutions (glycine , L2alanine ,L2serine , L2valine , L2proline and L2threonine) in aqueous solutions have been determined at 310. 15K by 2277 flow mi2cro calorimetric system. The data have been analyzed in terms of the McMillan2Mayer theory to obtain the enthalpic pairinteraction coefficient (hxy) and compared with the enthalpic pair interaction coefficients of two acid amide with six aminoacids. The results show that because of the more CH3 in N , N2dimethyl acetamide , which makes its difference from theEnthalpic of N2methyl with amino acids. The results are discussed in terms of solute2solute and solute2solvent interactionstheory.Key words :aminoacids ； N2methyl acetamide ； N , N2dimethyl acetamide ； enthalpic interaction coefficient(上 接 第 11 页 )( x2 - x) f ( x1) + ( x1 - x2) f ( x) + ( x - x1) f ( x2) ≤ 0 ,令 　 x = x1 + x22 , 则 x2 - x

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