三个素数猜想的证明

采用新的构造方法,把不规则分布的素数进行分类,即把单个素数a都同时表示成等距的区间[a,a+h](a为任意素数),在[a,a+h]中的元素为自然数,将[a,a+h]中对应位置有相同情况,或都是素数,或都不是素数的为同一等价类,其中每个[a,a+h]中至少有一个素数a,h取不同自然数时,分类方法不同,显然[a,a+h]的等价类的个数在h有限时是有限的,小于2h/2。

Data Flow&Transaction Mode Classification and An Explorative Estimation on Data Storage&Transaction Volume

The public has shown great interest in the data factor and data transactions,but the current attention is overly focused on personal behavioral data and transactions happening at Data Exchanges.To deliver a complete picture of data flaw and transaction,this paper presents a systematic overview of the flow and transaction of personal,corporate and public data on the basis of data factor classification from various perspectives.By utilizing various sources of information,this paper estimates the volume of data generation&storage and the volume&trend of data market transactions for major economies in the world with the following findings:(i)Data classification is diverse due to a broad variety of applying scenarios,and data transaction and profit distribution are complex due to heterogenous entities,ownerships,information density and other attributes of different data types.(ii)Global data transaction has presented with the characteristics of productization,servitization and platform-based mode.(iii)For major economies,there is a commonly observed disequilibrium between data generation scale and storage scale,which is particularly striking for China.(i^v)The global data market is in a nascent stage of rapid development with a transaction volume of about 100 billion US dollars,and China s data market is even more underdeveloped and only accounts for some 10%of the world total.All sectors of the society should be flly aware of the diversity and complexity of data factor classification and data transactions,as well as the arduous and long-term nature of developing and improving relevant institutional systems.Adapting to such features,efforts should be made to improve data classification,enhance computing infrastructure development,foster professional data transaction and development institutions,and perfect the data governance system.

Classification of Thai Honey Origins by Their Mineral Contents and Color Parameters

Honey is a product of the elaboration of flower nectar by bees. The general features and elemental composition of honey depend on its botanical origin. In this study, five color parameters （L＊： lightness, a＊： red color, b＊： yellow color, C＊ab and hab） and five elements （Na, K, Mg, Ca and Zn） were determined and related with 91 Thai honey samples. The origins of four botanic types of （1） longan flower （Dimocarpus sp.）, （2） lynchee flower （Litchi sp.）, （3） sunflower （Helianthus sp.） and （4） wild flower （Eupatorium sp.） using principle component analysis （PCA）. The results showed that five color parameters and five metal contents related with the Thai botanic origins of the honeys using principle component analysis （PCA）. Six major indicators of PC i （variance is 44.33%） from three color parameters are L＊（-0.926）, a＊（0.927） and hue or hab （0.824） and from three metal contents are K（0.833）, Ca（0.816） and Mg（0.595）. Two minor indicators of PC2 （variance is 21.58%） from color parameters are b＊（-0.934） and Chroma or C＊ab （-0.834）. Two indicators of PC3 （%variance is 12.47%） from contents of Na （-0.722） and Zn （0.704）. Thai Lynchee （C） flower honeys classified using both six parameters in PC 1 and two color parameters in PC2. Thai longan flower （G） honeys classified using the contents of Zn and Na in PC3 parameters. Thai sunflower （S） honeys classified using two color parameters in PC2. Thai wild flower （W） honeys classified using the metal contents of K in PC 1 parameter, Zn and Na in PC3 parameters.

Numerical Classification of Brevibacterium and Related Genera Using Linocin M18 Bacteriocin

Fifty bacterial strains isolated from dairy product, skin and blood from cancer and kidney failure dialysis patients were identified to 22 species and the following genera： Brevibacterium, Corynebacterium, Arthrobacter, Actinomyces, Exiguobacterium, Kocuria, Micrococcus, Rothia, Rhodococcus and classified numerically using a set of 52 phenetic characteristics, using simple matching coefficient （Ssm） and clustering method of unweighted average linkage between groups by SPSS program. They were also grouped to 7 main clusters and 29 sub-clusters in the hierarchical tree. Twelve isolates of the different species from the genera Brevibacterium, Arthrobacter, Corynebacterium, Kocuria, Rhodococcus, Rothia were selected from the taxonomic clusters and probed for lin gene by peR. One species Kocuria rhizophila which inhibited most of the test organism did not have lin gene in the chromosome while the species Corynebacterium glucuronolyticum, Arthrobacter comminsii, Arthrobacter oxydans have the lin gene. Our results establish a wide distribution of the structural gene encoding this Iinocin M 18 within coryneform bacteria and also in the genus Kocuria.

Semisymmetric graphs of order 6p^2 and prime valency

In this paper, we investigate semisymmetric graphs of order 6p2 and of prime valency. First, we give a classification of the quasiprimitive permutation groups of degree dividing 3p2, and then, on the basis of the classification result, we prove that, for primes k and p, a connected graph Γ of order 6p2 and valency k is semisymmetric if and only if k = 3 and either Γ is the Gray graph, or p ≡ 1 (mod 6) and Γ is isomorphic to one known graph.

The Betti Numbers of Real Toric Varieties Associated to Weyl Chambers of Type B

The authors compute the(rational) Betti number of real toric varieties associated to Weyl chambers of type B, and furthermore show that their integral cohomology is p-torsion free for all odd primes p.