Showing papers by "Nagoya University published in 1978"

On the Segal-Shale-Weil representations and harmonic polynomials

Abstract: In this paper, we give the answer to the following two intimately related problems. (a) To decompose the tensor products of the harmonic representations into irreducible components to get a series of new unitary irreducible representations with highest weight vectors of the group G= Mp(n), two-sheeted covering group of the symplectic group, or G = U(p, q). (b) To describe the representations of the group GL(n, ~ ) x O(k, ~) (resp. GL(p, C) x GL(q, C) x GL(k, C)) in the space of pluriharmonic polynomials on the space M(n, k; C) of n • k complex matrices (resp. M(p, k; C) x M~q, k; ~)). The second problem arises when we construct an intertwining operator from the tensor product of the harmonic representation into a space of vector-valued holomorphic functions on the associated hermitian symmetric space G/K, or equivalently when we consider highest weight vectors in the tensor products. Some of our motivations are the following: 1) Apart from special cases the unitary dual G of a real semi-simple Lie group is not known. There exist isolated points in G which are not members of discrete or "mock-discrete" series, (for exemple for Sp(2, C) where the unitary dual has been computed by M. Duflo [-18], there are two isolated points in ~, the trivial representation and the odd component of the Segal-Shale-Weil representation) and we are interested to produce series of such representations. 2) We are extending to matrix spaces classical results for harmonic polynomials on N".

Juvenile type of distal and segmental muscular atrophy of upper extremities

Abstract: Seventy-one cases of distal and segmental muscular atrophy of the upper extremities with juvenile onset were studied. The clinical features consisted of: juvenile onset, male preponderance, unique distribution of the muscular atrophy in the hand and forearm, tendon reflexes hypoactive in most cases but hyperactive in some, no definite sensory disturbances, no involvement of the cranial nerves, and autonomic nerve disorders in the affected region. There was rapid progression during the 2 to 3 years after onset with a slowly progressive course thereafter. There were no abnormal laboratory findings except for electrophysiological and morphological findings of the affected muscles. The site of lesion was surmised to be from the C5 to T1 spinal segments with intramedullary involvement. The cause is unknown.

Comparison of the uptake of nitrate and ammonium by rice seedlings: influences of light, temperature, oxygen concentration, exogenous sucrose, and metabolic inhibitors.

Abstract: The uptake of nitrate and ammonium by rice (Oryza sativa) seedlings was compared under various conditions. Nitrate uptake showed a 1-hour lag phase and then a rapid absorption phase, whereas ammonium uptake showed passive absorption during the first hour, then a shoulder of absorption, followed by a rapid metabolism-dependent absorption phase. Light did not affect the uptake of nitrate or ammonium. The uptake of nitrate and ammonium was markedly suppressed by removal of the endosperm. After removal of the endosperm, the uptake was restored by exogenous supply of 30 mm sucrose. No appreciable nitrate uptake was detected at temperatures below 15 C, whereas appreciable ammonium uptake occurred at 15 C, although lowered passive absorption and complete inhibition of the rapid metabolism-dependent absorption phase were observed at 5 C.Nitrate uptake was decreased by aeration and also by bubbling the mixture with O(2). It was greatly depressed by bubbling the mixture with N(2). These results suggest that there is a low optimal O(2) concentration for nitrate uptake. In contrast, ammonium uptake was increased by aeration, not influenced by bubbling with O(2), and slightly decreased by bubbling the mixture with N(2).Nitrate uptake was almost entirely inhibited by addition of cycloheximide, KCN, or arsenate. These compounds had scarcely any effect on the passive absorption of ammonium, but entirely depressed its successive metabolism-dependent absorption. Ammonium uptake occurred before nitrate uptake in solution containing both nitrate and ammonium.

Chemical studies on soil humic acids

Abstract: Relationships between elementary compositions and types of humic acids or the "degrees of humification were studied statistically using 39 humic acids prepared from various types of soils. Mean values of C%. H%. N%, 0%, H/C, N/C, and O/C of the different types of humic acids (A. B. Rp(l), Rp(2). and Po) were compared. The elementary compositions of various types of humic acids were proven by variance analyses to be significantly distinct. Linear regression analyses of C%, H%, N%. 0%, H/C, N/C, or O/C on RF or AlogK values were also carried out on 35 humic acids excluding the P+~+++ type humic acids. The linear associations were found to be significant between C%-RF (5% level), H%-RF, H%-▵logK, H/C-RF and HIC-▵logK (0.1% level), N/C-RF(O.1% level). N%-RF(l% level), N%-▵logK N/C-▵logK(5% level), and ▵logK (1% level), while no significant relationship was found with regard to C%;-▵logK, 0%-▵logK (both 5% level) and O/C-RF and O/C-▵logK (l0% level). Carbon and oxygen contents of humic acids may be ap...

Numerical Analysis of Two-Dimensional Nonsteady Detonations

Abstract: In the present work, a system of two-dimension al nonsteady hydrodynamic and chemical kinetic equations was numerically integrated for an exothermic system. An assumed two-step reaction model simulates an oxyhydrogen mixture. The calculation starts from a plane Chapman-Jouguet detonation as an initial condition. Two-dimensional disturbances are generated by artificially placing nonuniformities ahead of the detonation front. Regardless of the difference in the given initial disturbances, a fixed number of triple shock waves were produced for a fixed combination of mixture model and geometry when the transition period was over. This shows that for a given detonation tube geometry, any exothermic system has its own characteristic multidimensional structure. The obtained number of triple shock waves contained in the detonation front was in agreement with existing experimental observations under the same condition.

Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System

Abstract: The higher order approximations in the reductive perturbation method are studied for the weakly dispersive nonlinear system. It is shown that the secular terms appearing in the high order terms are eliminated by adding to the Korteweg-de Vries equation the derivatives of the higher-order conserved densities, the physical effects of which are given by the renormalization of the velocities of the KdV solitons.

Thermal structure of the sanbagawa metamorphic belt in central shikoku

Abstract: A detailed metamorphic zonal mapping is being in progress on the Sanbagawa metamorphic belt in central Shikoku. The mapping is based upon the distribution of index minerals, garnet and biotite in pelitic schists, and on the sliding equilibrium among silicate and oxide minerals. The distribution of mineral zones has revealed a peculiar thermal structure of the metamorphic complex that the highest-grade rocks occur in the middle of apparent stratigraphy. A large scale recumbent fold, with south vergency and extending for more than 20km, is postulated as a possible structural interpretation.It is concluded, as the most probable model we could imagine at the moment, that before the maximum temperature of metamorphism was reached, the Sanbagawa schists had been metamorphosed in more or less normal thermal regime that the temperature had increased downwards. Then a large scale recumbent fold took place, separating the higher-grade rocks from the heat source and bringing them in between the lower-grade ones. This recumbent fold was accompanied by the start of the uplift of the whole metamorphic complex, while continuing metamorphic reactions with decreasing temperature and pressure.The fact that the Sanbagawa belt is overturned suggests that a very distinctive crustal shortening took place in the present day Sanbagawa terrain in the Mesozoic time, and that the present day distribution of pre-Tertiary geologic units in the outer zone of the south-western Japan can hardly be in situ.

Successive Phase Transitions in Ferroelectric NaNO 2 and SC(NH 2 ) 2

Abstract: The successive phase transitions from a prototype to an incommensurate phase and then to a commensurate phase are studied on the basis of a model thermodynamic potential where the instability of a one-dimensional representation is assumed. The model is suitable to a unified description of the phase transitions in SC(NH 2 ) 2 and NaNO 2 which show ferroelectricity in their commensurate phases. The incommensurate states of the model and its dielectric properties are analysed by taking harmonics into account. It has turned out that the present model can satisfactorily reproduce the transitions actually observed in SC(NH 2 ) 2 and NaNO 2 .

Prevention of cystoid macular edema after lens extraction by topical indomethacin (III) radioimmunoassay measurement of prostaglandins in the aqueous during and after lens extraction procedures.

Abstract: The amounts of Prostaglandin (PG) E and F2α in the aqueous humor were measured by radioimmunoassay techniques before and immediately after intracapsular and extracapsular cataract extractions. We found that: 1. The levels of PG E and PG F2α are elevated by cataract extraction. 2. The elevated levels of PGs can all be prevented by preoperative applications of topical indomethacin. 3. No differences in the amounts of PGs biosynthesized during intracapsular and extracapsular lens extraction were found. 4. In some cases, the levels of PG E were still elevated one week after surgery.

Uptake of phosphate ions by calcium carbonate

Abstract: The coprecipitation of phosphate ions with calcium carbonate precipitated from calcium bicarbonate solution and the adsorption of phosphate ions on suspended calcium carbonate have been studied experimentally. (1) There are some differences in the mode of coprecipitation of phosphate ions with calcium carbonate formed from calcium bicarbonate solution between stirring and non-stirring (keeping still) the solution as follows: The amount of phosphate ions coprecipitated with calcium carbonate is larger when stirred than when kept still. In the keeping still system the amount of phosphate ions coprecipitated with calcite is approximately equal to that with aragonite, whereas in the stirring system the amount increases with increasing proportion of aragonite in calcium carbonate formed. (2) Phosphate ions in a parent solution favor the formation of calcite. (3) Phosphate ions are more easily adsorbed on suspended aragonite than on suspended calcite. The adsorption of phosphate ions on suspended calcium carbonate occurs in a solution containing fluoride ions by the following three steps: (a) The first remarkable adsorption occurs within several hours independent of the chemical composition of the solution. (b) The adsorption apparently reaches saturation. (c) Then the great adsorption occurs again after about 80 hours. This final adsorption is observed very clearly in a solution containing a large amount of fluoride ions. The adsorption of fluoride ions occurs with the final adsorption of phosphate ions. The marked adsorption of phosphate and fluoride ions on suspended calcium carbonate is related to the formation of apatite.

CHEMICAL STUDIES ON SOIL HUMIC ACIDS : II. Composition of Oxygen-Containing Functional Groups of Humic Acids

Abstract: The levels of alcoholic and phenolic hydroxyl, methoxyl, carboxyl, and carbonyl groups of 33 to 38 humic acids obtained from various types of soils were determined to analyze the relationships between the amounts of these functional groups and the degree of humification or the types of soils. The amounts of various oxygen-containing functional groups examined were all proven to be significantly different among the various types of humic acids by analyses of variance. During humification. generally, the carboxyl and carbonyl groups increased while alcoholic and phenolic hydroxyl and methoxyl groups decreased. Linear and logarithmic regression analyses of carboxyl group contents on RF values (optical density of the alkaline solution of humic acids at 600 nm) gave very significant positive correlations. The carboxyl group contents of Rp type humic acids and humic acids from calcareous soils were largely distributed in the upper side of the regression curve. The carbonyl group contents showed a very ...

Boninite as a possible calc-alkalic primary magma

Abstract: Boninite is an unusual, plagioclase-free magnesian andesite, occurring as vesicular pillow lavas and hyaloclastites, accompanied by andesites and dacites in Chichi-jima, Bonin Islands. The Bonin Islands belong to the Izu-Mariana arc and consist of dominant volcanic rocks and subordinate sedimentary rocks of late Oligocene-early Miocene age. The chemistry of boninite is characterized by high contents of MgO. Cr and Ni similar to primitive basalts, but apparently in ill accord with its relatively high SiO2 content of ≃ 55%. The relation of SiO2 to total FeO/MgO ratio indicates that boninite belongs to the cale-alkalic rock suite. The mineralogy of boninite consists of olivine (Fo87-90), orthopyroxene (En87-90), clinopyroxene (Wo38-35En37-44Fs25-21), hydrous glass and Cr-spinel, Experimental studies show that the magma of boninite composition could be in equilibrium with upper mantle peridotite at pressures less than 17 kb and temperatures of 1200–1050°C under high PH2O. It is suggested that boninite is a sea-floor quenched product (900°C) of a direct partial melt of the upper mantle. Related andesites and dacites are considered to be probably fractional crystallization products from the same magma.

Coprecipitation of borate-boron with calcium carbonate.

Abstract: The behavior of borate-boron in a calcium bicarbonate parent solution during the precipitation of calcium carbonate has been studied experimentally. The amount of borate-boron coprecipitated with calcium carbonate is proportional to the concentration of borate-boron dissolved in a parent solution, and this relationship is affected by the crystal form of calcium carbonate precipitated and the concentration of sodium chloride dissolved in the parent solution. Borate-boron is easily coprecipitated with aragonite rather than with calcite. These experimental results agree with the trend of boron content in carbonate skeletons of marine organisms such as bivalved mollusks. There is a difference in the influence of sodium chloride dissolved in a parent solution on the coprecipitation between calcite and aragonite: The amount of borate-boron coprecipitated with calcite increases with increasing concentration of sodium chloride in a parent solution, whereas the amount of borate-boron coprecipitated with aragonite decreases with increasing concentration of sodium chloride in the parent solution. This fact suggests that the mechanism of the coprecipitation of borate-boron with calcite is different from that with aragonite. Borate-boron dissolved in a parent solution has little influence on the crystal form of precipitated calcium carbonate.

Incommensurate Phase Transitions under the Existence of the Lifshitz Invariant

Abstract: The numerical solutions of the phase transitions under the existence of the Lifshitz invariant are presented. The temperature dependences of thermodynamic potential and dielectric susceptibility are shown for some values of coefficients appearing in a model thermodynamic potential. The feature of space modulation of order parameters is also shown. The results will be discussed in the relationship with some ferroelectric materials in which the incommensurate phase is actually realized in some temperature range.