The distribution of square-full integers

Let , wheref(n) is the characteristic function of square-full integers. A formula is proved that can be used to obtain better upper bound estimate for (x). We get (x)=O(x ^5/33+), which improves the exponent 11/72 obtained by R. Blasubramania and K. Ramachandra.     

The dilution of silica in a NiZnCo spinel ferrite matrix

Silica may dissolve up to about 0.05 wt% in an iron excess NiZnCo spinel matrix, affecting noticeably the magnetic properties at low and high values of the applied field. The initial permeability is reduced by about 50% with the addition of only 0.1 % SiO₂, while the coercivity almost triples, without noticeable changes in porosity or grain distribution. The vacancy and Fe²⁺ content of the sintered material also show a considerable change. The energy associated to the transformation Fe³⁺ Fe²⁺ for the samples without SiO₂ was found to be 0.41–0.42 eV, while for the samples with SiO₂ additions it decreased to 0.26 eV. The changes in magnetic properties are thought to be caused, more than because of the mentioned changes in ion distribution, by the stresses and defects created in the lattice due to the very small size of the Si⁴⁺ ion, which substitutes Fe³⁺ ions in tetrahedral sites. The transition Fe³⁺ Fe²⁺ seems to take place exclusively in the octahedral sites.     

Best possibility of the Furuta inequality

Let , and . Furuta (1987) proved that if bounded linear operators on a Hilbert space satisfy , then . In this paper, we prove that the range and is best possible with respect to the Furuta inequality, that is, if or , then there exist which satisfy but .

     

Geometry and the Jones projection of a state

LetA be a von Neumann algebra and a faithful normal state. ThenO = { ºAd(g ¹) :g G _A }andU = { ºAd(u ^*) :u U _A are homogeneous reductive spaces. IfA is aC ^* algebra,e the Jones projection of the faithful state viewed as a conditional expectation, then we prove that the similarity orbit ofe by invertible elements ofA can be imbedded inAA in such a way thate is carried to 1 1 and the orbit ofe to a homogeneous reductive space and an analytic submanifold ofAA.     

Isometries of symmetric operator spaces associated with AFD factors of typeII and symmetric vector-valued spaces

If is a surjective isometry of the separable symmetric operator spaceE(M, ) associated with the approximately finite-dimensional semifinite factorM and if · _E(M,) is not proportional to · _{L 2}, then there exist a unitary operatorUM and a Jordan automorphismJ ofM such that(x)=UJ(x) for allxME(M, ). We characterize also surjective isometries of vector-valued symmetric spacesF((0, 1), E(M, )).Research supported by the Australian Research Council     

鸡冠花红色素的提取及稳定性研究

介绍了以鸡冠花为原料,提取其红色素的方法及工艺流程。通过光谱分析的手段,研究了酸度、温度、光、时间、金属离子等因素对色素稳定性的影响。     

牛蒡中多酚氧化酶的活性及其影响因素研究

对牛蒡中所含的多酚氧化酶的活性及其影响因素的研究表明,牛蒡中多酚氧化酶的适宜ｐＨ值是６．０～７．５,适宜温度４５℃,较有效的抑制剂是２％钾明矾和０．０２％ＳＳＡ的混合液,或０．５８％磷酸和０．０２％ＳＳＡ的混合液．用此溶液浸泡过的牛蒡,再用ＨＰＥ薄膜袋包装后,在－４０℃下速冻,放在－１８℃冷冻库保存,贮藏期达６个月以上．     

小菜蛾Plutella xylostella羧酸酯酶、酰胺酶及乙酰胆碱酯酶的研究

研究结果表明,小菜蛾(Plutella xylostella)乙酰胆碱酶、酰胺酶的最适pH值分别为8.0和8.5。pH值对闳酸酯酶活力影响较小,酰胺酶和羧酸酯酶反应速度在反应开始60钟内,仍在线性范围,乙酰胆碱酯酶反应速度在反应开始的8分钟内呈线性关系。羧酸酯酶、酰胺酶和乙酰胆碱酯酶的Vmax分别为551.81(nmol/mg,mln)、5.25×10~(-4)(μmol/mg.min)和20.36(nmol/mg.min);km分别为5.52×10~(-5)(mol)、1.18×10~(-3)(mol)和8.33×10~(-3)(mol)。     

风信子子房的组织培养

通过组织培养技术可以从风信子（ＨｙａｃｉｎｔｈｕｓｏｒｉｅｎｔａｌｉｓＬ．）子房诱导出完整植株．在我们的研究中,ＭＳ＋ＢＡ５ｍｇ／Ｌ＋ＮＡＡ１ｍｇ／Ｌ较适于诱导愈伤组织和芽．适于芽生长的培养基是ＭＳ＋ＢＡ２ｍｇ／Ｌ＋ＮＡＡ２ｍｇ／Ｌ．ＭＳ（不加任何外源激素）培养基适于诱导生根