The purpose of this study is to propose a new method for three dimensional joint angle applied to the upper and lower joint limitations in the Indication Table of Joint Movement. This method assigns the range of motion (ROM) to the volumetric concept called joint solid angle similar to an angle in two dimensions. The basic idea is that the joint solid angle can equivalently be defined as the area of the corresponding unit spherical surface regions for the joint limitations. The boundary curves of this region were defined as the arcs or circles using the joint angle as the parameter. Thus, the vector expressions with the joint vectors were used for the joint solid angle in terms of spherical trigonometry. An example of the use of such method is shown with a computer. It may be useful to understand the differences in joint limitations between those of the presence or absence of dysfunction.

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To examine components of images of sport brands held by female students, we have analyzed T-shirt. As a result, the followings were founded.
1) Female students answered about 15 antitheses questions on the basis of SD method. As a result, the average values calculated from them showed common trend among the brands.
2) The factors composed of sports brand images turned out to be ‘rough-sophisticate’, ‘traditional-trendy’, and ‘sporty- pretty’. With these three factors, we plotted twenty brand names on the figures.
3) Cluster analysis categorized the brands into five groups.
Our research and analyze of these brand advertisings on the magazine led to the following results.
The first group: on the axis of delicate and characterised as basic, rich, graceful and so on.
The second group: on the axis of tradition and characterised as everyday wear, not tired, pretty, womanly neck and so on.
The third group: not characterized.
The fourth group: on the axis of trendy-rough and characterised as attractive logotype design, intensive logotype design and so on.
The fifth group: on the axis of sporty and characterised as sporty design, sport club with special function and so on.

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This paper describes the relation between the flexural resistance values obtained with a trially manufactured instrument and the basic mechanical characteristics obtained by KES-FB system.
The relation has been discussed with the grey relational analysis and the coefficient of correlation. Samples used in the experiment were 5 types of fabric blended with wool and polyester fibers.
The results obtained are as follows;
1) The loop rigidity and the ratio of loop resistance showed a high relation with the bending rigidity. The loop hysteresis is highly related to the bending and shearing hysteresis.
2) From these relations, the flexural resistance may roughly substitute bending rigidity, bending and shear hysteresis.
3) It is not always agreed with the ranking of grey relational grade obtained by grey relational analysis and coefficient of correlation. Then, it is better to discuss with both grey relational analysis and coefficient of correlation.

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