摘要:

The authors discuss in this paper the Chinese remainder theorem as given in some Chinese classical books of mathematics.

ISSN:0020-739X    

DOI:10.1080/0020739800110411

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Analytical solutions for the downwash and induced drag wall corrections are given for a finite lifting‐rolling wing at low speeds in a circular test‐section wind tunnel. The spanwise lift distribution is represented by a Fourier cosine series instead of the Fourier sine series as has been the general practice in the literature so far. Unlike the sine distributions, the cosine distributions do not produce a singularity in shed vorticity at the wing tips and hence these are considered more realistic in mimicking actual lift distributions. For a given lift, comparisons are made for tunnel corrections for uniform, elliptic, and parabolic lift distributions (the last being an example of cosine distributions) to highlight the fact that tip loadings have a primary influence on the magnitude of tunnel corrections at large wing span: tunnel test‐section diameter ratios, and thus must be correctly represented. Similar comparisons are made for a given rolling moment at zero lift for the simplest of the antisymmetric Fourier sine and cosine lift distributions.

ISSN:0020-739X    

DOI:10.1080/0020739800110412

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

This article describes an exercise in applied mathematics which may be useful for teaching mathematics at senior secondary school or tertiary level. The exercise utilizes a number of skills from plane geometry, trigonometry and elementary calculus. Some comments on classroom use and student reaction to the study are included.

ISSN:0020-739X    

DOI:10.1080/0020739800110413

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

Recently the problem of finding the mass, centre of gravity and moments of inertia for laminae bounded by polygons arose in a programming course for first year civil engineering degree students. It was suggested that it would be useful for them to construct a program that would take as input the vertices of the polygon, and print out area, centroid and moment of inertia. In order to make the program have a logically simple structure, the method presented in this note was devised. After consultation with many standard textbooks and engineering handbooks it was discovered that the method was either original or completely neglected. Since in many respects the method compares favourably with the subdivision techniques of the standard sources it would appear to be worth publicising the technique.

ISSN:0020-739X    

DOI:10.1080/0020739800110414

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739800110415

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739800110416

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor