The iterated function system with two element digit set is the simplest case and the most important case in the study of self affine measures.The one dimensional case corresponds to the Bernoulli convolution whose spe...The iterated function system with two element digit set is the simplest case and the most important case in the study of self affine measures.The one dimensional case corresponds to the Bernoulli convolution whose spectral property is understandable.The higher dimensional analogue is not known,for which two conjectures about the spectrality and the non spectrality remain open.In the present paper,we consider the spectrality and non spectrality of planar self affine measures with two element digit set.We give a method to deal with the two dimensional case,and clarify the spectrality and non spectrality of a class of planar self affine measures.The result here provides some supportive evidence to the two related conjectures.展开更多
为研究香椿籽多糖(Polysaccharides of seeds of Toona sinensis,STSP)不同组分的体外抗凝血活性,以水提醇沉法得到的香椿籽粗多糖为实验材料,通过聚酰胺法脱蛋白、活性炭脱色,经离子交换柱DEAE Sepharose CL-6进行纯化。采用高效凝胶...为研究香椿籽多糖(Polysaccharides of seeds of Toona sinensis,STSP)不同组分的体外抗凝血活性,以水提醇沉法得到的香椿籽粗多糖为实验材料,通过聚酰胺法脱蛋白、活性炭脱色,经离子交换柱DEAE Sepharose CL-6进行纯化。采用高效凝胶过滤色谱(HPGFC)和离子色谱分别对多糖的分子质量和其单糖组成进行分析,初步研究了纯化后的香椿籽多糖组分的体外抗凝血活性。结果表明:共得到4种纯化多糖组分即STSP-1、STSP-2、STSP-3、STSP-4;HPGFC法测定STSP-2、STSP-3皆为单峰,为均一多糖,其重均分子质量分别为13218 u和36080 u;单糖测定表明,香椿籽多糖主要由阿拉伯糖(Ara)、鼠李糖(Rha)、氨基葡萄糖(GluN)、半乳糖(Gal)、葡萄糖(Glu)、木糖(Xyl)、甘露糖(Man)、葡萄糖醛酸(GluA)、半乳糖醛酸(GalA)组成。体外抗凝血实验表明,STSP-3能显著延长凝血酶原时间(Prothrombin time,PT)和凝血酶时间(Thrombin time,TT),表明其抗凝血活性是通过影响外源性途径、共同途径实现。实验结果为香椿籽多糖的纯化及资源利用奠定了基础。展开更多
This paper shows an important relation between the fractal analysis and the boundary properties of harmonic functions.It is proved that the multifractal analysis of a finite measureμonIR^(d)determines the(non-tangent...This paper shows an important relation between the fractal analysis and the boundary properties of harmonic functions.It is proved that the multifractal analysis of a finite measureμonIR^(d)determines the(non-tangential)boundary increasing properties ofPμ,the Poisson integral ofμwhich is harmonic onIR^(d+1)_(+).Some examples are given.展开更多
基金supported by the Key Project of Chinese Ministry of Education(Grant No. 108117)National Natural Science Foundation of China (Grant No. 10871123,61071066,11171201)
文摘The iterated function system with two element digit set is the simplest case and the most important case in the study of self affine measures.The one dimensional case corresponds to the Bernoulli convolution whose spectral property is understandable.The higher dimensional analogue is not known,for which two conjectures about the spectrality and the non spectrality remain open.In the present paper,we consider the spectrality and non spectrality of planar self affine measures with two element digit set.We give a method to deal with the two dimensional case,and clarify the spectrality and non spectrality of a class of planar self affine measures.The result here provides some supportive evidence to the two related conjectures.
文摘为研究香椿籽多糖(Polysaccharides of seeds of Toona sinensis,STSP)不同组分的体外抗凝血活性,以水提醇沉法得到的香椿籽粗多糖为实验材料,通过聚酰胺法脱蛋白、活性炭脱色,经离子交换柱DEAE Sepharose CL-6进行纯化。采用高效凝胶过滤色谱(HPGFC)和离子色谱分别对多糖的分子质量和其单糖组成进行分析,初步研究了纯化后的香椿籽多糖组分的体外抗凝血活性。结果表明:共得到4种纯化多糖组分即STSP-1、STSP-2、STSP-3、STSP-4;HPGFC法测定STSP-2、STSP-3皆为单峰,为均一多糖,其重均分子质量分别为13218 u和36080 u;单糖测定表明,香椿籽多糖主要由阿拉伯糖(Ara)、鼠李糖(Rha)、氨基葡萄糖(GluN)、半乳糖(Gal)、葡萄糖(Glu)、木糖(Xyl)、甘露糖(Man)、葡萄糖醛酸(GluA)、半乳糖醛酸(GalA)组成。体外抗凝血实验表明,STSP-3能显著延长凝血酶原时间(Prothrombin time,PT)和凝血酶时间(Thrombin time,TT),表明其抗凝血活性是通过影响外源性途径、共同途径实现。实验结果为香椿籽多糖的纯化及资源利用奠定了基础。
文摘This paper shows an important relation between the fractal analysis and the boundary properties of harmonic functions.It is proved that the multifractal analysis of a finite measureμonIR^(d)determines the(non-tangential)boundary increasing properties ofPμ,the Poisson integral ofμwhich is harmonic onIR^(d+1)_(+).Some examples are given.
