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

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An analysis of pedestrian queueing 行人排队现象分析
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.018
G. Weiss
{"title":"An analysis of pedestrian queueing","authors":"G. Weiss","doi":"10.6028/JRES.067B.018","DOIUrl":"https://doi.org/10.6028/JRES.067B.018","url":null,"abstract":"This paper considers the steady state queueing properties of pedestrians who are delayed by traffic on a main road. It is assumed that the size of the gap between two successive cars dete rmines the probability that an individual pedestrian or a group of pedestrians will cross. The technique of imbedded Markov chains yields many new results as well as some previously found , by co mbinatorial methods by Tanner in 1951.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116230105","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
On the graphs of finite idempotent Boolean relation matrices 有限幂等布尔关系矩阵的图
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.020
D. Rosenblatt
{"title":"On the graphs of finite idempotent Boolean relation matrices","authors":"D. Rosenblatt","doi":"10.6028/JRES.067B.020","DOIUrl":"https://doi.org/10.6028/JRES.067B.020","url":null,"abstract":"This paper presents a graph-theoretic characterization of idempotent Boolean relation matrices of finite order. A relation-theoretic point of view is adopted in the paper. Idempotent matrices appear in the sequence of powers of any Boolean relation matrix, and are of purely theoretical as well as applied interest in connection with issues of convergence. The results provide a detailed description of the connectivity and cyclic structure of the directed graphs of idempotent matrices. The study is basically motivated by certain connectivity and flow problems which arise in the analysis of largescale information systems. The formal results are exemplified in an investigation of the asymptotic forms of a recursive model of an information system which affords a conjoin t representation of processes of communication and derivation of information. A second principal application is given in a process formulation for the generation of cons istent rank orderings. The relation between system des ign and idempotent forms is exhibited in the two applications.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134562327","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: 16
Solutions of the equation psi-xx+1/x-psi-x+Kxne-psi=0 方程psi-xx+1/x-psi-x+Kxne-psi=0的解
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.019
E. Kearsley
{"title":"Solutions of the equation psi-xx+1/x-psi-x+Kxne-psi=0","authors":"E. Kearsley","doi":"10.6028/JRES.067B.019","DOIUrl":"https://doi.org/10.6028/JRES.067B.019","url":null,"abstract":"","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"38 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120983567","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
Zonal harmonic perturbations of an accurate reference orbit of an artificial satellite 人造卫星精确参考轨道的纬向谐波摄动
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.016
J. Vinti
{"title":"Zonal harmonic perturbations of an accurate reference orbit of an artificial satellite","authors":"J. Vinti","doi":"10.6028/JRES.067B.016","DOIUrl":"https://doi.org/10.6028/JRES.067B.016","url":null,"abstract":"The theory developed in an earli er paper, for an accurate reference orbit of an artific ial satellite, is fi rs t slightly modified, so as to prepare the way for a treatment of zonal harmonic perturbations. Delaunay variables are next introduced , by means of certai n linear combinations of the action variables, along with their canonical conjugates. Application of the von Zeipel method then permits the calc ulation of the most important zonal harmonic perturbations. These ari se from the third , with coefficie nt 13, and the residual fourth, with coefficient 1. + 1~ . The accuracy of the secular and shortperiodic effects is through terms of order 1~ and that of the long-periodic e ffects is through terms of order h . Since the reference orbit itself, with its exac t secular terms, takes care of all but 0.5 per· cent of the de viation of the earth 's gr avitational fie ld from spherical symmetry, the overall secular accuracy of the final orbit surpasses that of other second order theories. T he results are compared with those of Kozai .","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131720360","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: 34
Error bounds in the pointwise approximation of solutions of elastic plate problems 弹性板问题逐点逼近解的误差界
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-07-01 DOI: 10.6028/JRES.067B.012
J. Bramble, L. Payne
{"title":"Error bounds in the pointwise approximation of solutions of elastic plate problems","authors":"J. Bramble, L. Payne","doi":"10.6028/JRES.067B.012","DOIUrl":"https://doi.org/10.6028/JRES.067B.012","url":null,"abstract":"Methods are presented for obtaining upper and lower pointwise bounds for the deflection (and its derivatives) in certain physically interesting elastic plate problems.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115523003","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
Zeros of first derivatives of Bessel functions of the first kind, j'n(x), 21 第一类贝塞尔函数j'n(x)的一阶导数的零
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-07-01 DOI: 10.6028/JRES.067B.015
G. Morgenthaler, H. Reismann
{"title":"Zeros of first derivatives of Bessel functions of the first kind, j'n(x), 21","authors":"G. Morgenthaler, H. Reismann","doi":"10.6028/JRES.067B.015","DOIUrl":"https://doi.org/10.6028/JRES.067B.015","url":null,"abstract":"are frequently required for the solution of problems in mathematical physics and engineering. Typical problems of this kind occur in the theory of heat conduction [1],1 hydrodynamics, finite Hankel transforms, Fourier-Bessel expansions, etc. In conjunction with a heat transfer problem [2], the authors conducted a literature search in the spring of 1961 to find a table of zeros of J~(x). No adequate tables were found at that time, and a table of such zeros for 0 ~ n ~ 51, 0 ~ x ~ 100 was generated. It was subsequently learned that the new Royal Society Tables [3], published in 1960 and available in 1961, contained zeros of J;,(x ) for orders 0 ~ n ~ 20. For this reason the present table is given for orders 21 ~ n ~ 51 and 0 ~ x ~ 100. A thorough summary of existing tables is given on page 411 of volume I [4].","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"270 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125828081","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
Effect of error in measurement of elastic constants on the solutions of problems in classical elasticity 弹性常数测量误差对经典弹性问题解的影响
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-07-01 DOI: 10.6028/JRES.067B.013
J. Bramble, L. Payne
{"title":"Effect of error in measurement of elastic constants on the solutions of problems in classical elasticity","authors":"J. Bramble, L. Payne","doi":"10.6028/JRES.067B.013","DOIUrl":"https://doi.org/10.6028/JRES.067B.013","url":null,"abstract":"","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131470120","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: 10
Remarks on hypo-elasticity 关于低弹性的评论
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-07-01 DOI: 10.6028/JRES.067B.011
C. Truesdell
{"title":"Remarks on hypo-elasticity","authors":"C. Truesdell","doi":"10.6028/JRES.067B.011","DOIUrl":"https://doi.org/10.6028/JRES.067B.011","url":null,"abstract":"","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133744203","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 Meaning of Betti's Reciprocal Theorem 贝蒂互反定理的意义
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-04-01 DOI: 10.6028/JRES.067B.008
C. Truesdell
{"title":"The Meaning of Betti's Reciprocal Theorem","authors":"C. Truesdell","doi":"10.6028/JRES.067B.008","DOIUrl":"https://doi.org/10.6028/JRES.067B.008","url":null,"abstract":"It was remarked long ago (1)1 that Betti 's l'eciprocal theorem, famili ar in the linearized theory of elasticity, remains valid for infinitesi mal strain superimposed upon fLn arbitmrily strained tate of a hyperelastic material, and recently a proof was published [2]. The true significance of Betti's theorem, however, lies in its being a criterion jor the existence oj a stored-energy junction. Indeed, the differen t ial equations and stress boundary conditions to be sl1tisfied by the superimposed displacement field u are [3]","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114858758","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: 19
Maximum cellular boolean functions and perfect gray codes 最大的细胞布尔函数和完美的灰色代码
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics Pub Date : 1963-04-01 DOI: 10.6028/jres.067b.007
A. J. Goldman, B. Bender
{"title":"Maximum cellular boolean functions and perfect gray codes","authors":"A. J. Goldman, B. Bender","doi":"10.6028/jres.067b.007","DOIUrl":"https://doi.org/10.6028/jres.067b.007","url":null,"abstract":"I. A Boolean function of n variables, considered as a subset of t he discl'cLe uni t n-cube Bn> is called cellular if each of its connected components is a face of Bn. Hammin g'~ determination of optimal binary single-error-detectin g codes is generalized to a characteri zation of all propel' cellular functions with the greatest possible number of clements . II. An analysis is made of a class of Gray codes (H amiltonian circuits on Bn) with certain special propcrti es, e.g., ad mi tting for O:Sd:Sn a parti tion in to 2n d subpaths eac h formin g a d-c1 imensional face of Bn.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1963-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125797211","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: 1
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