ISSN:0020-739X    

DOI:10.1080/0020739720030101

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A presentation of the case for our approach to mathematics in the primary school: what influences have promoted it, what principles underlie it and how they are implemented, what research supports it and what we hope to achieve thereby.

ISSN:0020-739X    

DOI:10.1080/0020739720030102

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

It is argued that quantum mechanics is a better theory than classical mechanics because it gives all the classical results and in addition explains new phenomena that classical mechanics cannot convincingly explain. However, little time seems to be spent in introductory courses on quantum mechanics to show that one can indeed obtain even the simplest classical results. In this paper we discuss two simple classical phenomena, a ball bouncing against a wall and a ball bouncing backwards and forwards inside a box. By explicitly finding the square integrable solutions of the time‐dependent Schrodinger equation we show that there is an analogous quantum mechanical bouncing process. It is possible to find explicit solutions near the classical limit since there is negligible dispersion of the wave functions, a fact that enables the integrals over the improper eigenfunctions to be evaluated with little error.

ISSN:0020-739X    

DOI:10.1080/0020739720030103

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

This article is concerned with the application of probability generating functions and Laplace transforms to the solution of specific probability problems. In particular, it presents the interpretation (or collective marks) method of van Dantzig and Runnenburg. With this method, generating functions and Laplace transforms can be interpreted as probabilities and these can often be obtained directly, without having first to derive a recursion formula or a differential equation. It is demonstrated how this method can be used to derive the binomial, the Poisson and the compound Poisson distributions, and it is also applied to the thinning of renewal streams and to some stochastic service systems.

ISSN:0020-739X    

DOI:10.1080/0020739720030104

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Both the analysis of variance and principal component analysis divide sums of squares into orthogonal components. The major difference is that the first uses external criteria, the second internal. The calculations involved in these techniques are demonstrated with an example. The way in which data may be standardized before principal component analysis is discussed. In some cases, the information discarded on standardization may be examined by an analysis of variance, and related to the results of the principal component analysis.

ISSN:0020-739X    

DOI:10.1080/0020739720030105

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

This paper describes a simple alternative method of assessing the profitability of quantity discounts in stock control situations. The procedure is based upon the concept of a discount indifference curve which relates the ratio of the proposed order quantity to the economic batch quantity (EBQ) and the ratio of the proposed (discount) price to the EBQ price.

ISSN:0020-739X    

DOI:10.1080/0020739720030106

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Computer science is a new academic discipline established to serve the professional development needs of the computing community. Its relation with more established disciplines, notably mathematics and engineering, is tentatively considered and some research problems of a theoretical nature are briefly discussed.

ISSN:0020-739X    

DOI:10.1080/0020739720030107

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

As part of a teacher training course for graduate mathematicians, an experiment has been conducted in which the trainee teachers have visited industrial situations. The main purpose of these visits was to discover examples of mathematical concepts and operations that are implicit in the organization and activities within the company. An encouraging number of ‘discoveries' were made, and these varied from food and container factories to those concerned with motor parts and paint. The concepts included those used in Number Systems, Spatial Relationships, Mensuration, Statistics, Functional Relationships, Loci and Graphical Representations.

ISSN:0020-739X    

DOI:10.1080/0020739720030108

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The content of a first year course of about thirty lectures is presented with an explanation of why the course was constructed and what its aims are.

ISSN:0020-739X    

DOI:10.1080/0020739720030109

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

† Paper presented to the Conference of the Indian Mathematical Society (1968) and notified in the Bulletin of the Mathematical Association of India, April 1969.

ISSN:0020-739X    

DOI:10.1080/0020739720030110

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor