In this paper, the two-elastic media problem is analyzed by the superposition method of the Green function. For a numerical example, the stress concentration problem of a plate with a circular inclusion is treated. As a result, the stresses and the stress concentration factors are accurately analyzed. Finally, the availability of this method for the two-elastic media problem is shown.

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Flame colors in kerosene spray flames were quantitatively determined by the correlated color temperature. Detailed relations between the flame colors and air ratio were investigated by using a water-cooled furnace. The heat input of an atomizing oil burner was 100kW and the air ratio changed from 1.1 to 2.5. The results indicated that the correlated color temperature was useful to accurately express the change of flame color. The correlated color temperature ranged between 1580K and 2250K. It was also suggested that the mean value of the correlated color temperature could be used to evaluate the air ratio. Thus the mean value of the correlated color temperature has the possibility to be a valuable information source for combustion diagnostics and combustion control.

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A chamber with a variable temperature (〜300℃) for magneto-transport property measurement of GaAs based semiconductor thin films was made. Good heat insulation between the sample space and others and good ohmic contact between a sample and a terminal were verified. The temperature dependence of Hall voltage vs the magnetic field on p-GaAs thin film was also measured. It was confirmed that the carrier concentration increases with increasing temperature.

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In this study, we made an experiment to study the control of the speed of a wheel with a new brake system composed of a CVT and a brake-energy storage device. The control methods are P (Proportional) control and PI (Proportional and Integral) control. The axis of speed control on the CVT is rotated by a DC servomotor utilized for those control methods. The brake system is different from the system in the previous paper. This system has one oil pump/motor for simplified structure. The previous system had two oil/pumps. In this result, the control of the wheel speed was successful by PI control, but the deviation was because of the PI control.

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This paper proposes a visualization method for multi-purpose job-shop scheduling. Recently, the petal diagram has been reported to visualize a multi-purpose function. However, it is difficult to make use of it in a real problem, because the petal diagram requests a normalizing procedure for an individual function, of which a multi-purpose function consists. Genetic algorithm (GA) is a useful method to solve a multi-purpose job-shop scheduling problem, in practice. One of GA's features is that it approximately searches a wide range of feasible solutions. In other words, it iteratively generates not only better solutions but also worse ones. This feature is adopted to normalize the individual function approximately. In the normalizing procedure, an obtained solution is mapped into [0, 1], where 0 and 1 respectively correspond to the worst and best solution searched in past. Some numerical experiments verify that visualization of multi-purpose job-shop scheduling solutions is intuitively achieved.

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Implementing an appropriate proficiency test for learners of English as a foreign language has important implications for facilitating the learners' language attainment, reviewing the curriculum and for teaching as a whole. This study reports on the appropriateness of using the Secondary Level English Proficiency Test to secondary school students in Japan by analyzing the indices of reliability, item facility, item discrimination, and the correlation coefficients between the SLEP Test score and the Pre-2nd Grade STEP Test scores. The appropriateness of the SLEP Test was supported with (1) the overall high reliability coefficients and the number of items with an acceptable item discrimination index both on the listening section and the reading section except for two subsections with insufficient values, (2) the existence of a high correlation (r=.79) between the SLEP Test scores and the Pre-2nd Grade STEP Test scores, which strongly supported the criterion validity of the SLEP Test scores as a predictor variable for its counterpart. Another finding was that the valid threshold proficiency level of the SLEP Test coincided with that of the STEP Test, and that the upper threshold was well above the proficiency range that the Pre-2nd Grade STEP Test could cover.

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(1) ボウリング授業中の心拍数変動の特性について ボウリングも他のスポーツ種目と同様, 授業内容・やり方次第でその運動強度はかなり異なってくることは当然であるが, 本授業ではだいたい基本練習時 (15分) で80〜120拍/分, ゲーム時・自由練習時で100〜140拍/分のゾーンで心拍数が変動しており, その幅は40拍/分程度であった。また, 本授業中における3被験者の平均心拍数113.1拍/分 (Fig.5) は今井らの114拍/分 (1980)^<1)> ・北川の110〜120拍/分 (1999)^<12)> といった先行研究にピタリと符合しておりその客観性は高い。その結果, ボウリングはバレーボール^<7)>・テニス^<1)> (変動幅60〜80拍/分程度) 等の球技と比較して瞬間的に急激な動きをすることは殆どなく, 一定の運動強度で長時間持続可能な心拍数変動の幅が小さいスポーツ種目であることがわかった。そして, 基本練習時にはやや不足気味であったがゲーム時・自由練習時の約50分間は有酸素運動として理想的な運動強度が得られていた。本校の運動不足気味の一般学生にとっては週に1度の運動不足解消・ストレス解消の絶好の機会となっている。このことはボウリングが安全で楽しく誰もが親しみやすい有酸素運動として優れたスポーツ種目であり, 生涯スポーツとしての適格性・有効性を客観的に示しているといえる。(Fig.4・5参照) (2) 今後のボウリング授業の改善点について ウォーミング・アップの運動強度について Ekbolm と Hermansen は最大酸素摂取量 (VO2max.) の50%Astrand と Saltin は55%が適切であるとみなしている (「心拍数の科学」P. 244)^<1)>が, これに相当するこの年代の心拍数レベルは120〜130拍/分になる。今回の授業の基本練習時では被験者Bが120拍/分位に上がっただけで, しかも2分間程度であった。この事実から今後は基本練習時にもう少し負荷の強い準備運動を取り入れて, 120〜130拍/分の心拍数レベルにある時間帯を5分程度確保すべきであろう。つまり, 授業開始時のウォーミング・アップに改善の余地が有ることが明らかとなった。

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(1)パークゴルフ中の心拍数変動の特性について パークゴルフも他のスポーツ種目と同様, 実施方やコース次第でその運動強度はかなり異なってくることは当然であるが, 本測定では3名ともウォーミング・アップ時 (6分間) で, ゲーム時 (58分間) の内平均87%で80〜112拍/分の有酸素運動ゾーンで心拍数が変動しており, その最高心拍数と最低心拍数の差は38〜59拍/分であった。また, 本測定中における3被験者の平均心拍数101.6拍/分という水準は, 星川らの先行研究 (1978)^<1)> によるゴルフ (ティーショットからホールインまでの平均) 98拍/分・卓球 (練習時) 97〜98拍/分とほぼ同様のレベルであった。その結果, パークゴルフはバレーボール^<7)>・^<1)>テニス (変動幅60〜80拍/分程度)・ボウリング^<18)> (変動幅40拍/分程度) 等の球技と比較して瞬間的に急激な動きをすることは殆どなく, 一定の運動強度で長時間持続可能な心拍数変動の幅が小さいスポーツ種目であることがわかった。そして, ウォーミング・アップ時・ゲーム時の約65分間の約87%において有酸素運動として理想的な運動強度が得られていた。(Fig.4・5参照) (2) パークゴノレフの歩数・消費カロリーについて パークゴルフ1ラウンド (18ホール) の平均歩数は2595歩で平均消費カロリーは58.6kcal.であった。これは平均歩数で男性より221歩多く, 平均消費カロリーはほぼ同じであった。(V. 項 (1) 参照) これは約15分間の歩行に相当する運動量であるといえる。^<12)>

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This paper extends some results of the previous papers [1, 3, 4, 5]. Let dμ=dσ(r)dθ be a Borel measure on the open unit disc D where dσ (r) is a positive measure on [0, 1] with dσ([0, 1])=1/ 2π and dθ is the Lebesgue measure on 〓D. We assume that L^2_a is a closed subspace of L^2 whose element is analytic on D as in [3]. We suppose M is a closed subspace in L^2 which is invariant under the multiplication by the coordinate function z. Let P^M denotes the orthogonal projection from L^2 onto M. For φ in L^∞ (D, dμ) , the intermediate Hankel operator H^M_φ is defined by H^M_φ f= (I-P^M) (φf ) for f in L^2_a. In the paper [1], we give three necessary and sufficient conditions that H^M_φ is of finite rank in case M⊇zL^2_a, when φ is in L^∞. In this paper, we give the same conditions in that H^M_φ is of finite rank in case M⊆L^2_a, when φ is in L^∞_a (D, dμ). As a result, we show that if M is of finite codimension in L^2_a then there does not exist a finite rank H^M_φ except H^M_φ=0.

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In this report a new calculation algorithm of FD-TD is proposed. The principle of FD-TD depends on only the calculus of finite difference. It can be applied to the complex structure of a waveguide without any mathematical principle. The disadvantage of FD-TD is simple. If the simulation need high calculation accuracy, the fundamental mesh size of the difference equation must be short. It means huge memory capacity is required to make a virtual waveguide on the computer. Our method uses the outer storage unit with high efficiency to simulate the longer waveguide size with the real memory capacity. Then new algorithm can offer the high speed FD-TD calculation for the longer waveguide without the collision happening on the waveguide end boundary due to the improved data moving system.

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First year students in the Academic year of 2003/2004 have studied under the new Course of Study system. The writer, who taught mathematics to the first year students in the academic year of 2003/2004 studied the actual condition of the students. From his observations he reports some facts. In this paper the writer : 1. Describes the contents of junior high mathematics. 2. Analyzes the result of a questionnaire for first year students 3. Analyzes the validity of the regular exams. He also discusses the future mathematics curriculum with regards to mathematics in the high school's Science and Mathematics Course.

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