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On complemented modular lattices meet-homomorphic to a modular lattice 在补模格上，满足同态于模格
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138843226
Y. Utumi
{"title":"On complemented modular lattices meet-homomorphic to a modular lattice","authors":"Y. Utumi","doi":"10.2996/KMJ/1138843226","DOIUrl":"https://doi.org/10.2996/KMJ/1138843226","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130143481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A new proof of Liber's theorem 利伯定理的新证明
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138843145
S. Hashimoto
{"title":"A new proof of Liber's theorem","authors":"S. Hashimoto","doi":"10.2996/KMJ/1138843145","DOIUrl":"https://doi.org/10.2996/KMJ/1138843145","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130463881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Controlled Galton-Watson process and its asymptotic behavior 可控Galton-Watson过程及其渐近性
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138847159
T. Fujimagari
{"title":"Controlled Galton-Watson process and its asymptotic behavior","authors":"T. Fujimagari","doi":"10.2996/KMJ/1138847159","DOIUrl":"https://doi.org/10.2996/KMJ/1138847159","url":null,"abstract":"1. In a stochastic population process described as a Galton-Watson process each individual splits independently according to a given probability law and new born particles constitute the following generation. In addition to the independence in splitting the law of splitting of each individual depends on neither the generation to which an individual belongs nor the existence of the other individuals of the same generation and is common to all individuals. We shall consider a somewhat generalized Galton-Watson process in the sense that the law of splitting of each individual depends on the total number of individuals of the same generation and the other independence properties are reserved. The object of this note is to study asymptotic behaviors of such processes, although we can hardly obtain any complete results up to now except some partial results. The difficulties in analysing the process will be due to the dependence introduced above from which it no longer holds such as the iteration property of a generating function which plays a fundamental role in GaltonWatson processes. We shall formulate the process under consideration as follows. Let Zn be the size or the total number of individuals which belong to the n-th generation and given a sequence of probability distributions £>(i)= pr(i): rΞ>0}, z=0, 1,2, ••• oo","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134235528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
The axiom of coholomorphic 3-spheres in an almost Tachibana manifold 几乎立花流形上的全纯三球公理
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138847324
S. Yamaguchi
{"title":"The axiom of coholomorphic 3-spheres in an almost Tachibana manifold","authors":"S. Yamaguchi","doi":"10.2996/KMJ/1138847324","DOIUrl":"https://doi.org/10.2996/KMJ/1138847324","url":null,"abstract":"§","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133916482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
A remark on ultrahyperelliptic surfaces 关于超椭圆曲面的评述
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138845443
Mitsuru Ozawa
{"title":"A remark on ultrahyperelliptic surfaces","authors":"Mitsuru Ozawa","doi":"10.2996/KMJ/1138845443","DOIUrl":"https://doi.org/10.2996/KMJ/1138845443","url":null,"abstract":"and every an is a simple zero of g(z) and s=0 or 1. Hiromi and Mutδ [1] proved the following result: Assume there exists a nontrivial analytic mapping φ from R into S. Then p=n-r, where r is the order of g(z) and n is an integer. The aim of the present paper is to prove the following THEOREM. If S is an ultrahyperelliptic surface of non-zero finite order into which there is a non-trivial analytic mapping from an ultrahyperelliptic surface R of finite order and with P(7?)=4, then the order of S is a half of an integer. 2. Proof of theorem. For our purpose we need our previous result in [4], which asserts the existence of two functions h(z) and f(z) such that f(z) is meromorphic in |2|<oo and h(z) is a polynomial of degree n in the present situation [1] satisfying","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131796515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On a simplified estimate of correlogram for a stationary non-Gaussian process 平稳非高斯过程相关图的简化估计
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138845495
Mituaki Huzii
{"title":"On a simplified estimate of correlogram for a stationary non-Gaussian process","authors":"Mituaki Huzii","doi":"10.2996/KMJ/1138845495","DOIUrl":"https://doi.org/10.2996/KMJ/1138845495","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130790528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed points of reversible semigroups of nonexpansive mappings 非扩张映射的可逆半群的不动点
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138846168
Theodore Mitchell
{"title":"Fixed points of reversible semigroups of nonexpansive mappings","authors":"Theodore Mitchell","doi":"10.2996/KMJ/1138846168","DOIUrl":"https://doi.org/10.2996/KMJ/1138846168","url":null,"abstract":"Takahashi [7, p. 384] proved that if K is a compact convex subset of a Banach space, and S is a left amenable semigroup of nonexpansive self-maps of K, then K contains a common fixed point of S. This theorem generalizes a result of DeMarr [2, p. 1139], who obtained the above implication for the case where S is commutative. In this note, we observe that Takahashi's theorem can be further extended, and the proof slightly simplified, by considering a purely algebraic property that every left amenable semigroup must possess, that of left reversibility. The proof employs suitable modifications of the methods of [2] and [7].","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130813282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 30
The structure of trivariate Poisson distribution 三变量泊松分布的结构
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138847374
K. Kawamura
{"title":"The structure of trivariate Poisson distribution","authors":"K. Kawamura","doi":"10.2996/KMJ/1138847374","DOIUrl":"https://doi.org/10.2996/KMJ/1138847374","url":null,"abstract":"In this paper we discuss the structure of trivariate Poisson distribution. In the first section usual univariate Poisson distribution and bivariate general Poisson distribution [2] are stated. It is stated in section 2 the main result of this paper that is, the structure of trivariate Poisson distribution. The discussion is constructed by the three parts 2.1. definition of the trivariate Bernoulli distribution 2.2. definition of the trivariate binomial distribution 2.3. definition of the trivariate Poisson distribution and the relation of the trivariate Poisson distribution and the trivariate binomial distribution. In the part (3) some characters of the trivariate Poisson distribution and the notion of the generalization to the multivariate Poisson distribution are stated.","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131057348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
A note on the ordinal power and the lexicographic product of partially ordered sets 关于部分有序集的序数幂和字典积的注释
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138843209
T. Ohkuma
{"title":"A note on the ordinal power and the lexicographic product of partially ordered sets","authors":"T. Ohkuma","doi":"10.2996/KMJ/1138843209","DOIUrl":"https://doi.org/10.2996/KMJ/1138843209","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131073305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Structure of homogeneous chains 均质链结构
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/kmj/1138843293
T. Ohkuma
{"title":"Structure of homogeneous chains","authors":"T. Ohkuma","doi":"10.2996/kmj/1138843293","DOIUrl":"https://doi.org/10.2996/kmj/1138843293","url":null,"abstract":"Especially, for any pair of elements a, b of X, the set of elements between (properly) a and b is an interval of X, which we ca31 an open interval (a, b). The set oϊ upper bounds and the set of lower bounds of an element a of X, excluding the element a, are also called (unbounded) open intervals, and are denoted by (a,-) and (-, a) respectively. When two elements a and b are adjoined to the open interval (a, bj, we call it a closed interval [a, bl [a, b) denotes the interval (a, b)with adjoined a only, (a, b], [a, ) , and (-, a] are similarly defined*,","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131154333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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