Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics最新文献_第8页

Zeros of polynomials in several variables and fractional order differences of their coefficients 若干变量多项式的零点及其系数的分数阶差

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-07-01 DOI: 10.6028/JRES.068B.017

B. Mond, O. Shisha

引用次数: 1

Generalization of Rennie's inequality 雷尼不等式的推广

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.010

A. J. Goldman

引用次数: 6

ON THE ASYMPTOTIC JOINT NORMALITY OF QUANTILES FROM A MULTIVARIATE DISTRIBUTION 多元分布中分位数的渐近联合正态性

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.011

L. Weiss

引用次数: 18

Existence of k-edge connected ordinary graphs with prescribed degrees 给定度的k边连通普通图的存在性

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.013

J. Edmonds

{"title":"Existence of k-edge connected ordinary graphs with prescribed degrees","authors":"J. Edmonds","doi":"10.6028/JRES.068B.013","DOIUrl":"https://doi.org/10.6028/JRES.068B.013","url":null,"abstract":"An ordinary graph G is a set of objects called nodes and a family of unord e re d pai rs of. th e nodes called edges. The degree of a node in G is the number of edges in G whi ch co ntain it. G is called connected if it is not the union of two di sjoint none mpty subgraphs. A graph H is called k-edge connected if deletin g any fewer than k edges from H leaves a co nn ected graph. It is proved that th ere exists a k-edge connected gr aph H fo r k > 1 with prescribed int.ege r degrees d; if and only if th ere exists an ordinary graph with th ese degrees a nd all d; \"\" k. The re ex ist.s a l-co nn ec ted (i.e., co nnec ted) ordinary graph with presc ribed pos itive integer degrees d; if and only if the re ex ists an ordinary graph \" with these degrees and L d; \"\" 2(n-l). An ordinary graph G is a finite set of objects and a family of two-m e mber sub se ts of th e objects. The objects are called the nodes of G and the pairs are called the edges of G. An edge and a nod e are said to meet if one contains the oth er. The degree of a node in G is the number of edges in G which it meets. A cut of graph G, de noted by (5,5), is a partition of the nodes of G into_ two none mpty s ubsets 5 and S.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1964-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120955677","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: 56

Inequalities for solutions of mixed boundary value problems for elastic plates 弹性板混合边值问题解的不等式

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.014

J. Bramble, L. Payne

{"title":"Inequalities for solutions of mixed boundary value problems for elastic plates","authors":"J. Bramble, L. Payne","doi":"10.6028/JRES.068B.014","DOIUrl":"https://doi.org/10.6028/JRES.068B.014","url":null,"abstract":"In two recent papers [2,3] I the authors prese nted methods for obtaining pointwise bounds in the three most common boundary value problems for elasti c plates . These bounds were of a priori type, that is they held for a class of functions r equired to sati sfy only smoothness conditions . Hence one could approximate the (unknown) solution of one of these proble ms in terms of essentially arbitrary functions, and the inequaliti es gave bounds on the error. In this paper we derive s imilar a priori bounds in the three most common mixed boundary value problems for elastic plates . For simplicity we consider only the case of a simply conn ec ted region R whose boundary I consists of two disjoint portions II, and I 2 (each co nnected) on which different se ts of boundary conditions are imposed. It will be clear how the results are to be extended if II, and/or I 2 are not connec ted or if R is multiply connected. In this paper we shall res tric t our atte ntion to the proble m of obtaining bounds for the L2 integrals of an arbitrary sufficiently smooth function w in term s of L2 integrals of quantities which are data whenever the arbitrary fun c tion w is actually the solution u to the problem in ques tion. By use of mean value inequalities and the Rayleigh-Ritz technique as indicated in [2,3], the desired pointwise bounds are then obtained. The well known Rayleigh-Ritz tec hniqu e consis ts in choosing tV w = U L a;<Pi, where the <Pi are N linearly indepe nde nt sufficiently smooth fun ctions, and the ai 1= 1 al'e de termined in such a way as to minimize the terms involving the data of u. The particular problems treated here are the following:","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1964-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128868101","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

Fitting y equals beta x when variance depends on x 当方差依赖于x时，拟合y = x

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.012

J. Dyke

引用次数: 0

General application of Youden's rank sum test for outliers and tables of one-sided percentage points 约登秩和检验对异常值和单侧百分比表的一般应用

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.009

T. A. Willke

引用次数: 1

Determinations based on duplication of readings 基于重复读数的测定

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-04-01 DOI: 10.6028/JRES.068B.008

J. A. Speckman

引用次数: 0

IMPROVEMENT OF BOUNDS TO EIGENVALUES OF OPERATORS OF THE FORM T*T, 形式为t * t的算子的特征值界的改进，

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1964-02-26 DOI: 10.6028/JRES.068B.022

N. Bazley, D. Fox

引用次数: 14

Optimal periodic inspection programs for randomly failing equipment 随机故障设备的最优定期检查方案

Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-10-01 DOI: 10.6028/JRES.067B.017

G. Weiss

引用次数: 4