start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=249 end-page=258 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Asymptotic Theory of Rayleigh Problem in Rarefied Gas en-subtitle= kn-subtitle= en-abstract= kn-abstract=The asymptotic theory of Rayleigh shear flow for large values of time is developed on the basis of the linearized Boltzmann-Krook equation. Asymptotic equations for mean velocity outside the Knudsen layer are obtained by employing the Hilbert expansion. Slip boundary conditions are derived from the analysis of the Knudsen layer adjacent to the wall. A solution of the asymptotic equation is obtained under the slip boundary condition and zero initial condition. Discussions are also made of the flow induced by a slowly oscillating flat plate. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=YamamotoKyoji kn-aut-sei=Yamamoto kn-aut-mei=Kyoji aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Engineering Mathematics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=239 end-page=248 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A GRAPH-THEORETIC STUDY OF THE MINIMUM FILL-IN PROBLEM FOR SPARSE MATRIX METHOD en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper the minimum fill-in problem which arises at the application of the sparse matrix method for linear sparse systems is discussed from the graphtheoretic viewpoint and the author gives some results which can be directly introduced in the design of, so called, the optimal elimination ordering algorithm which gives the minimum fill-in(the number of zeros in coefficient matrix which become non-zero during the elimination process). Through this investigation only graphs are treated instead of the coefficient matrices for linear systems, and the elimination process for a matrix is equivalated to the vertx eliminations for the graph. Then, the results by the theoretical investigation are summarized as following: 1. Optimal elimination for each subgraph which is subdivided appropriately from whole graph leads to the global optimum. 2. In each subgraph there are only two kind of eliminations. Furthermore, some numerical experiments show the characteristics of the subset of vertices, which subdivide a subgraph from the residual. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TaniguchiTakeo kn-aut-sei=Taniguchi kn-aut-mei=Takeo aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Civil Engineering END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=225 end-page=238 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An Adaptive Observer via Optimal Control Law en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper deals with the adaptive observer which estimates the states and parameters of unknown system. It is shown that the adaptive observer problem is reduced to the identification of the transformation matrix for an arbitrary designable observer. Moreover, the adaptive process of the unknown parameters is reduced to the linear optimal regulator problem. As the result, a new method is presented to obtain an appropriate adaptive process with good insight. And, in this identification, a linear filter is found to be also useful against noises in input-output data. To achieve high accuracy, a particular nonlinear filtering can improve SN ratio only in the direction of the unknown vector. Even if SN ratio of input-output data has zero dB, sufficient accuracy can be accomplished within suitable correction time. This design algorithm seems to be rather straightforward and practical. Since input sequence is required to be only sufficiently general, the method is applicable to on-line identification also. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=KanedaMasahiro kn-aut-sei=Kaneda kn-aut-mei=Masahiro aut-affil-num=1 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=ShinjiHiroshi kn-aut-sei=Shinji kn-aut-mei=Hiroshi aut-affil-num=2 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=AoyamaMikio kn-aut-sei=Aoyama kn-aut-mei=Mikio aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Electronics affil-num=2 en-affil= kn-affil=Nissan Chemical Corp affil-num=3 en-affil= kn-affil=Department of Electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=219 end-page=224 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Longitudinal Properties of Two-Dimensional Classical Electron Liquids en-subtitle= kn-subtitle= en-abstract= kn-abstract=The dynamic form factor and the dispersion relation of the plasma oscillation of two-dimensional classical systems of electrons with ordinary Coulomb interaction are obtained by numerical experiments in the domain of the plasma parameter 2.24?γ=(ƒΞn)(1/2)e(2)/T?70.7, where n, e, and T are the areal number density, the electronic charge, and the temperature in energy units, respectively. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TotsujiHiroo kn-aut-sei=Totsuji kn-aut-mei=Hiroo aut-affil-num=1 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=KakeyaHideyuki kn-aut-sei=Kakeya kn-aut-mei=Hideyuki aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Electronics affil-num=2 en-affil= kn-affil=Department of Electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=209 end-page=218 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Lower Bounds for Thermodynmnic Quantities of Classical Ionic Mixtures en-subtitle= kn-subtitle= en-abstract= kn-abstract=Exact lower bounds are given for thermodynamic quantities of ionic mixtures in the uniform background in d dimensions with three-dimensional (1/r) Coulomb interaction (d=2 and 3) and with d-dimensional Coulomb interaction (d=1, 2, and 3). It is shown that these lower bounds improve upon known ones and give values close to experimental results which are available in the case of d=3. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TotsujiHiroo kn-aut-sei=Totsuji kn-aut-mei=Hiroo aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=195 end-page=207 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Performance Analysis For An Air-Pollution Monitoring Using A Pulsed Dye Laser en-subtitle= kn-subtitle= en-abstract= kn-abstract=The maximally attainable accuracy of an airpollution monitoring system is investigated. The system is composed of a tunable pulsed dye laser as the light source, photodiodes as the opto-electric converter and a low noise electronic signal processor specifically designed by the authors. The extreme value of the accuracy is given in terms of the standard deviation of the attenuation. The value is 3.4~10(-4)[Nepγ(pulse number)] for an averaged value for multiple laser shots. Also the wavelength reproduceability of a dye laser was examined, which resulted in that a computer should take a part in the wavelength control in order that this method should be feasible. en-copyright= kn-copyright= en-aut-name=SanoHiroya en-aut-sei=Sano en-aut-mei=Hiroya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KogaRyuji en-aut-sei=Koga en-aut-mei=Ryuji kn-aut-name=ŒΓ‰κ—²Ž‘ kn-aut-sei=ŒΓ‰κ kn-aut-mei=—²Ž‘ aut-affil-num=2 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TanadaYoshihiro kn-aut-sei=Tanada kn-aut-mei=Yoshihiro aut-affil-num=3 ORCID= en-aut-name=KosakaMegumi en-aut-sei=Kosaka en-aut-mei=Megumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of electronics affil-num=2 en-affil= kn-affil=Department of electronics affil-num=3 en-affil= kn-affil=Department of electronics affil-num=4 en-affil= kn-affil=Department of electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=181 end-page=193 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Notion of Adjoint Spectrum in the Application to Air-pollution Monitoring en-subtitle= kn-subtitle= en-abstract= kn-abstract=This report deals with a notion of adjoint spectrum which is applicable to air-pollution monitoring by using pulsed lasers. Both Raman and absorption spectra of multiple gas complex are linear combinations of the spectra, each of which is specific to a gas species and its magnitude is proportional to the density. An extended formulation of the method of least squares is made in terms of a new notion, adjoint spectra, which visualizes the structure of the numerical filter. Applications of the derived numerical filters to the two methods are shown and features are described about the synthesized filters. en-copyright= kn-copyright= en-aut-name=SanoHiroya en-aut-sei=Sano en-aut-mei=Hiroya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KogaRyuji en-aut-sei=Koga en-aut-mei=Ryuji kn-aut-name=ŒΓ‰κ—²Ž‘ kn-aut-sei=ŒΓ‰κ kn-aut-mei=—²Ž‘ aut-affil-num=2 ORCID= en-aut-name=TanadaYoshihiro en-aut-sei=Tanada en-aut-mei=Yoshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=KosakaMegumi en-aut-sei=Kosaka en-aut-mei=Megumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of electronics affil-num=2 en-affil= kn-affil=Department of electronics affil-num=3 en-affil= kn-affil=Department of electronics affil-num=4 en-affil= kn-affil=Department of electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=163 end-page=180 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Walsh Waoofonn Analyzer and Its Applications to Filtering of Pulse Signals en-subtitle= kn-subtitle= en-abstract= kn-abstract=A new waveform analyzer based on the Walsh transform@is developed and is applied to a real-time filtering of fast pulse signals, and the linear filterings@of time signals through the Walsh transform is@discussed. The analyzer converts a solitary waveform during 16 ƒΚs into the 16 Walsh amplitude spectra in a hybrid manner: it has the sequency band from 62.5 kzps to 500 kzps. The spectra are parallelly held during 16 ƒΚs by analog integrators, while serially displayed by the CRT, and one of them is digitally read out. The spectra of the test waves are measured within the error rate of several per cent. The analyzer is applied to the correlative detection of the photoelectric pulse signals in a gasspectroscopic system using a pulse laser, and there composes the matched filter, which is useful for measuring the signals superposed by Gaussian noises with a high accuracy. For the real-time filtering of fast signals, the arithmetic convolution and the frequency power spectra are approximated using the complex Walsh transform. These approximations are of practical use in 16 or 32 dimensions. Then, the matched filters for pulse peaking are given by the approximate convolution and by the dyadic convolution. en-copyright= kn-copyright= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=TanadaYoshihiro kn-aut-sei=Tanada kn-aut-mei=Yoshihiro aut-affil-num=1 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=SanoHiroya kn-aut-sei=Sano kn-aut-mei=Hiroya aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Department of Electronics affil-num=2 en-affil= kn-affil=Department of Electronics END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=153 end-page=162 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Coupling-Network Dependence of Locking Phenomena in Microwave Oscillators en-subtitle= kn-subtitle= en-abstract= kn-abstract=A unified treatment of injection and mutual phase locking phenomena in microwave oscillators coupled by a network characterized by a Y-matrix is presented. Under certain simplifying assumptions, steady state solutions such as locking frequency and oscillation phase relation are given with emphasis placed on the coupling-network dependence of locking bandwidth. Also, some examples of locking system specified by y(21)=0, Y(21)= Y(12) and y21= -Y12 are briefly discussed. en-copyright= kn-copyright= en-aut-name=FukuiKiyoshi en-aut-sei=Fukui en-aut-mei=Kiyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NogiShigeji en-aut-sei=Nogi en-aut-mei=Shigeji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaMasuo en-aut-sei=Yamada en-aut-mei=Masuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SakakibaraAkira en-aut-sei=Sakakibara en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Electronics affil-num=2 en-affil= kn-affil=Department of Electronics affil-num=3 en-affil= kn-affil=Department of Electronics affil-num=4 en-affil= kn-affil=Department of Industrial Science END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=133 end-page=152 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aging and Reversion in Dilute Al-Ag Alloys en-subtitle= kn-subtitle= en-abstract= kn-abstract=Aging and reversion in dilute Al-Ag alloys are studied by means of the measurements of electrical resistivity. Results obtained are as follows: 1) Increase in the as-quenched resistivity is found for a low quenching temperature. This increase may be due to the fluctuation of solute concentration at the quenching temperature. 2) When the fluctuation exists in the alloy, the aging rate becomes slow and the maximum resistivity in the isothermal aging curve becomes small as the vacancyconcentration becomes low. The maximum resistivity becomes large again when the vacancy concentration becomes further lower, and finally the maximum does not appear. 3) These behaviors are explained in terms of the difference in the rate of growth of the G.P. zones in the regions of higher and lower solute concentration induced by the fluctuation and in terms of the change of this difference with vacancy concentration. 4) G.P. zones may be formed by the spinodal decomposition with indefinite surfaces at first, grown to larger ones with difinite surfaces and changed to ordered nzones in the alloy. 5) It is confirmed that G.P. zones are formed by the nucleation-and-growth mechanism also in Al-Ag alloys above the spinodal temperature. en-copyright= kn-copyright= en-aut-name=OhtaMutsuo en-aut-sei=Ohta en-aut-mei=Mutsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KanadaniTeruto en-aut-sei=Kanadani en-aut-mei=Teruto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaMasuo en-aut-sei=Yamada en-aut-mei=Masuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SakakibaraAkira en-aut-sei=Sakakibara en-aut-mei=Akira kn-aut-name=εŒ΄Έ kn-aut-sei=εŒ΄ kn-aut-mei=Έ aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Industrial Science affil-num=2 en-affil= kn-affil=Okayama University of Science affil-num=3 en-affil= kn-affil=Department of Industrial Science affil-num=4 en-affil= kn-affil=Department of Industrial Science END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=119 end-page=132 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effects of the Fluctuation of Solute Concentration in Al-Zn Alloys on the Aging at Low Temperatures; II. Electron Microscopy and Measurements of SAXS Intensity en-subtitle= kn-subtitle= en-abstract= kn-abstract=The effects of the fluctuation of solute concentration on the process of aging in Al-10wt % Zn alloy were studied by measurements of the intensity of small-angle X-ray scattering and by electron microscopy. Specimen was quenched from a higher temperature(T(Ql), mainly 300Ž) to an intermediate temperature (T(Q2), 110~230Ž), held there for a time, quenched again into iced water and aged isothermally at 0Ž or 40Ž. Results obtained are as follows: (1) When the specimen was held at T(Q2) for a sufficient time and aged at relatively high temperatue(e.g. Ihr at 125Ž and aged at 40Ž), a two-step increasing of both resistivity and integrated intensity was found. (2) Each of the steps has characteristics of the formation of G.P. zones by the spinodal decomposition. (3) When the maximum resistivity(p(max)) takes a minimum, Size distribution of the G.P. zones, estimated from the difference between Guinier and Porod radii, is much broader than that at p(max) in the usual direct quenching. (4) When the holding time at T(Q2) is long enough, the size distribution at p(max) is as broad as that at p(max) in the usual case. (5) After a prolonged aging under the condition that P(max) takes minimum, G.P. zones grow markedly and become oblate ellipsoidal with a major axis of about 20nm. (6) These results are consistently understood in terms of the fluctuation of solute concentration at T(Q2) and the change in the concentration of vacancies during annealing at T(Q2). That is, it is considered that these results are due to the difference in aging behavior between the regions of relatively high concentration and the ones of low concentration induced by the fluctuation. en-copyright= kn-copyright= en-aut-name=OhtaMutsuo en-aut-sei=Ohta en-aut-mei=Mutsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamadaMasuo en-aut-sei=Yamada en-aut-mei=Masuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KanadaniTeruto en-aut-sei=Kanadani en-aut-mei=Teruto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SakakibaraAkira en-aut-sei=Sakakibara en-aut-mei=Akira kn-aut-name=εŒ΄Έ kn-aut-sei=εŒ΄ kn-aut-mei=Έ aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Industrial Science affil-num=2 en-affil= kn-affil=Okayama University of Science affil-num=3 en-affil= kn-affil=Department of Industrial Science affil-num=4 en-affil= kn-affil=Department of Industrial Science END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=95 end-page=117 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effects of the Fluctuation of Solute Concentration in Al-Zn Alloys on the Aging at Low Temperatures; ‡T. Measurements of Electrical Resistivity en-subtitle= kn-subtitle= en-abstract= kn-abstract=Aging process in Al-Zn alloys was studied by the measurements of the electrical resistivity when the alloy was quenched from a high temperature, about 300Ž (the first quenching temperature), to an intermediate temperature, between 110Ž and 230Ž (the second quenching temperature), held at this temperature for a time, quenched again into iced water and aged at a low temperature. Variation of the holding time at the second quenching temperature brings about the variation of the isothermal aging curves. Maximum resistivity of the isothermal aging curve, p(max) , decreases at first, passes a minimum and then increases to reach a stationary value as the holding time at the intermediate temperature increases. It is pointed out that this phenomenon is mainly due to the fluctuation of solute concentration and the vacancy concentration decreasing at the intermediate temperature. en-copyright= kn-copyright= en-aut-name=OhtaMutsuo en-aut-sei=Ohta en-aut-mei=Mutsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KanadaniTeruto en-aut-sei=Kanadani en-aut-mei=Teruto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaMasuo en-aut-sei=Yamada en-aut-mei=Masuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SakakibaraAkira en-aut-sei=Sakakibara en-aut-mei=Akira kn-aut-name=εŒ΄Έ kn-aut-sei=εŒ΄ kn-aut-mei=Έ aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Industrial Science affil-num=2 en-affil= kn-affil=Okayama University of Science affil-num=3 en-affil= kn-affil=Department of Industrial Science affil-num=4 en-affil= kn-affil=Department of Industrial Science END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue= article-no= start-page=83 end-page=93 dt-received= dt-revised= dt-accepted= dt-pub-year=1979 dt-pub=19790305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Computer Program of Line Balancing, Regarding Efficiency and Number of Stations as Variables en-subtitle= kn-subtitle= en-abstract= kn-abstract=To assign work elements to the work stations in an assembly or manufacturing line, various computer programs have been developed and used. And it does that the number of stations or the cycle time is even given. But in practice it is desirable to obtain the assignment which shows the highest efficiency of line balancing under all possible combinations of the number of stations and the cycle time. Therefore we propose a computer program of the assignment method in which the efficiency of line balancing, Ebb and the number of stations, NN are regarded as variables. In this method the minimum value (EEb) of efficiency and the constant term (d) by which Ebb is reduced are given previously. And for any COmbination of Ebb (EE