• Title/Summary/Keyword: W-B-C-N

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TOEPLITZ TYPE OPERATOR IN ℂn

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.697-705
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    • 2014
  • For a complex measure ${\mu}$ on B and $f{\in}L^2_a(B)$, the Toeplitz operator $T_{\mu}$ on $L^2_a(B,dv)$ with symbol ${\mu}$ is formally defined by $T_{\mu}(f)(w)=\int_{B}f(w)\bar{K(z,w)}d{\mu}(w)$. We will investigate properties of the Toeplitz operator $T_{\mu}$ with symbol ${\mu}$. We define the Toeplitz type operator $T^r_{\psi}$ with symbol ${\psi}$, $$T^r_{\psi}f(z)=c_r\int_{B}\frac{(1-{\parallel}w{\parallel}^2)^r}{(1-{\langle}z,w{\rangle})^{n+r+1}}{\psi}(w)f(w)d{\nu}(w)$$. We will also investigate properties of the Toeplitz type operator with symbol ${\psi}$.

Isolation and Structure of $[Ph_3P(OH)]^+[ $N_3$]^-$ ($[Ph_3P(OH)]^+[ $N_3$^-$의 분리 및 구조)

  • Beom Jun Lee;Won Seok Han;Soon Won Lee
    • Korean Journal of Crystallography
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    • v.12 no.3
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    • pp.141-144
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    • 2001
  • From the reaction of Na[Ga(N₃)₄] with PPh₃, an ionic compound [Ph₃P(OH)]/sup +/[N₃]/sup -/ (1) was isolated. Compound 1 was characterized by spectroscopy (¹H-NMR, /sup 13C{¹H}-NMR, and IR) and X-ray diffraction. Crystallographic data for 1 : orthorhombic space group P2₁2₁2₁, a = 10.491 (4) Å, b=11.603(5)Å, c=13.149(5)Å, Z=4, R(wR₂)=0.0547(0.0978).

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The Jerking Force by Hooked Carp and its Periodicity with the Tail Beat (낚시에 물린 잉어가 미치는 힘과 꼬리 진동에 의한 주기성)

  • KO Kwan-Soh;KIM Yong-Hae
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.15 no.3
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    • pp.226-232
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    • 1982
  • The measurements of the jerking force and the tail beat by hooked carp were carried out using a strain gauge at a fish pond from July to August 1981. The maximum jerking force was sustained for a while in the initial state after a carp was hooked, but the jerking force was gradually decreased as a function of the time elapsed until the fish was utterly exhausted, and it converged to the body weight at last. The results are as follows : 1. The maximum jerking force $F_m(g)$ can be expressed with empirical formula : $$F_m=3.23W+105$$ where W (g) is the body weight. 2. Dynamic change of the maximum jerking force $F_n(g)$ by one tail beat with time $t_{n}(-10T/2{\leq}\;t_n{\leq}10T/2)$ can he induced with the equation as follows : $$F_n=(0.27W-6.52)(|t_n|+C)^{-2.10}$$ where the period T (sec) is given by the following equation with the body weight : T=0.000385W+0.193 3. The jerking force at each of the peak points $F_p$ (g) varies with the time elapsed t (sec) as following equation : $$F_{p}=(2.23W+105)e^{-{\beta}t}+W$$. The value of durability index $\beta$ was nearly zero in the initial state and about 1.7 in the exhausted state at last. 4. It was clearly shown that the change of jerking force by hooked carp was closely related to the tail beat from a paired difference T-test.

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A Compact C-Band 50 W AlGaN/GaN High-Power MMIC Amplifier for Radar Applications

  • Jeong, Jin-Cheol;Jang, Dong-Pil;Han, Byoung-Gon;Yom, In-Bok
    • ETRI Journal
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    • v.36 no.3
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    • pp.498-501
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    • 2014
  • A C-band 50 W high-power microwave monolithic integrated circuit amplifier for use in a phased-array radar system was designed and fabricated using commercial $0.25{\mu}m$ AlGaN/GaN technology. This two-stage amplifier can achieve a saturated output power of 50 W with higher than 35% power-added efficiency and 22 dB small-signal gain over a frequency range of 5.5 GHz to 6.2 GHz. With a compact $14.82mm^2$ chip area, an output power density of $3.2W/mm^2$ is demonstrated.

BERGMAN TYPE OPERATORS ON SOME GENERALIZED CARTAN-HARTOGS DOMAINS

  • He, Le;Tang, Yanyan;Tu, Zhenhan
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1347-1365
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    • 2021
  • For µ = (µ1, …, µt) (µj > 0), ξ = (z1, …, zt, w) ∈ ℂn1 × … × ℂnt × ℂm, define $${\Omega}({\mu},t)=\{{\xi}{\in}\mathbb{B}_{n_1}{\times}{\cdots}{\times}\mathbb{B}_{n_t}{\times}\mathbb{C}^m:{\parallel}w{\parallel}^2 where $\mathbb{B}_{n_j}$ is the unit ball in ℂnj (1 ≤ j ≤ t), C(χ, µ) is a constant only depending on χ = (n1, …, nt) and µ = (µ1, …, µt), which is a special type of generalized Cartan-Hartogs domain. We will give some sufficient and necessary conditions for the boundedness of some type of operators on Lp(Ω(µ, t), ω) (the weighted Lp space of Ω(µ, t) with weight ω, 1 < p < ∞). This result generalizes the works from certain classes of generalized complex ellipsoids to the generalized Cartan-Hartogs domain Ω(µ, t).

On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works. (노천굴착에서 발파진동의 크기를 감량 시키기 위한 정밀파실험식)

  • Huh Ginn
    • Explosives and Blasting
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    • v.9 no.1
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    • pp.3-13
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    • 1991
  • The cautious blasting works had been used with emulsion explosion electric M/S delay caps. Drill depth was from 3m to 6m with Crawler Drill ${\phi}70mm$ on the calcalious sand stone (soft -modelate -semi hard Rock). The total numbers of test blast were 88. Scale distance were induced 15.52-60.32. It was applied to propagation Law in blasting vibration as follows. Propagtion Law in Blasting Vibration $V=K(\frac{D}{W^b})^n$ were V : Peak partical velocity(cm/sec) D : Distance between explosion and recording sites(m) W : Maximum charge per delay-period of eight milliseconds or more (kg) K : Ground transmission constant, empirically determind on the Rocks, Explosive and drilling pattern ets. b : Charge exponents n : Reduced exponents where the quantity $\frac{D}{W^b}$ is known as the scale distance. Above equation is worked by the U.S Bureau of Mines to determine peak particle velocity. The propagation Law can be catagorized in three groups. Cubic root Scaling charge per delay Square root Scaling of charge per delay Site-specific Scaling of charge Per delay Plots of peak particle velocity versus distoance were made on log-log coordinates. The data are grouped by test and P.P.V. The linear grouping of the data permits their representation by an equation of the form ; $V=K(\frac{D}{W^{\frac{1}{3}})^{-n}$ The value of K(41 or 124) and n(1.41 or 1.66) were determined for each set of data by the method of least squores. Statistical tests showed that a common slope, n, could be used for all data of a given components. Charge and reduction exponents carried out by multiple regressional analysis. It's divided into under loom over loom distance because the frequency is verified by the distance from blast site. Empirical equation of cautious blasting vibration is as follows. Over 30m ------- under l00m ${\cdots\cdots\cdots}{\;}41(D/sqrt[2]{W})^{-1.41}{\;}{\cdots\cdots\cdots\cdots\cdots}{\;}A$ Over 100m ${\cdots\cdots\cdots\cdots\cdots}{\;}121(D/sqrt[3]{W})^{-1.66}{\;}{\cdots\cdots\cdots\cdots\cdots}{\;}B$ where ; V is peak particle velocity In cm / sec D is distance in m and W, maximLlm charge weight per day in kg K value on the above equation has to be more specified for further understaring about the effect of explosives, Rock strength. And Drilling pattern on the vibration levels, it is necessary to carry out more tests.

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$^1H$ NMR Study of 4-Aminopyrimidine Coordinated to the Paramagnetic Undecatung-stocobalto(Ⅱ)silicate Anion: Rates of Internal Rotation of the Amine Group

  • 김병안;소현수
    • Bulletin of the Korean Chemical Society
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    • v.20 no.10
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    • pp.1149-1152
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    • 1999
  • 1H NMR spectrum of a DMF-d7 solution containing 4-aminopyrimidine and [SiW11CoIIO39]6- (SiW11Co) shows separate peaks from two linkage isomers, a and b, in which N(1) and N(3) of the pyrimidine ring are coordinated to SiW11Co, respectively. The signal from the amine group in the isomer a exhibits temperature dependence that is characteristic of a two-site exchange problem. Rates of internal rotation of the amine group were determined by simulating the NMR spectra at 5-35℃. The amine group of free 4-aminopyrimidine also shows temperature-dependent spectra at lower temperatures; rates of internal rotation at (-25)-25℃ were determined. The internal rotation of the amine group in the complex is much slower than that for free 4-aminopyrimidine, indicating that π-character of the C-N bond increases on coordination to SiW11Co. The amine group in the isomer b does not show such behavior. It is probable that hydrogen bonding between N-H and a bridging oxygen atom of SiW11Co prevents it from rotating at low temperatures.

$MgB_2$ Thin Films on SiC Buffer Layers with Enhanced Critical Current Density at High Magnetic Fields

  • Putri, W.B.K.;Tran, D.H.;Kang, B.;Lee, N.H.;Kang, W.N.
    • Progress in Superconductivity
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    • v.14 no.1
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    • pp.30-33
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    • 2012
  • We have grown $MgB_2$ superconducting thin films on the SiC buffer layers by means of hybrid physical-chemical vapor deposition (HPCVD) technique. Prior to that, SiC was first deposited on $Al_2O_3$ substrates at various temperatures from room temperature to $600^{\circ}C$ by using the pulsed laser deposition (PLD) method in a vacuum atmosphere of ${\sim}10^{-6}$ Torr pressure. All samples showed a high transition temperature of ~40 K. The grain boundaries of $MgB_2$ samples with SiC layer are greater in amount, compare to that of the pure $MgB_2$ samples. $MgB_2$ with SiC buffer layer samples show interesting change in the critical current density ($J_c$) values. Generally, at both 5 K and 20 K measurements, at lower magnetic field, all $MgB_2$ films deposited on SiC buffer layers have low $J_c$ values, but when they reach higher magnetic fields of nearly 3.5 Tesla, $J_c$ values are enhanced. $MgB_2$ film with SiC grown at $600^{\circ}C$ has the highest $J_c$ enhancement at higher magnetic fields, while all SiC buffer layer samples exhibit higher $J_c$ values than that of the pure $MgB_2$ films. A change in the grain boundary morphologies of $MgB_2$ films due to SiC buffer layer seems to be responsible for $J_c$ enhancements at high magnetic fields.

Synthesis and Properties of Molybdenum and Tungsten Oxo-Nitrosyl Complexes of Methylthioamidoxime (산소-니트로실 착물의 연구(제3보): 티오메틸아미드옥심의 몰리브덴과 텅스텐 산소-니트로실 착물의 합성과 특성)

  • Roh, Soo Gyun;Oh, Sang Oh
    • Journal of the Korean Chemical Society
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    • v.40 no.1
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    • pp.28-36
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    • 1996
  • The pentanuclear complexes have been obtained by the reactions of molybdenum(VI) and tungsten(VI) polynuclear complexes with molybdenum(O) and tungsten(O) dinitrosyl mononuclear complexes, and methylthioamidoxime. The prepared complexes (n-Bu4N)2[Mo4O12Mo(NO)2{CH3SCH2C(NH2)NHO}2{CH3SCH2C(NH)NO}2](1), (n-Bu4N)2[W4O12Mo(NO)2{CH3SCH2C(NH2)NHO}2{CH3SCH2C(NH)NO}2](2), (n-Bu4N)2[Mo4O12W (NO)2{CH3SCH2C(NH2)NHO}2{CH3SCH2C(NH)NO}2] (3) have been characterized by elemental analysis, infrared, UV-visible and 1H NMR spectra. The complexes are elucidated the cis-{M(NO)2}2+(M = Mo, W) unit and a slight delocalization by spectroscopy. The structure of (n-Bu4N)2[W4O12Mo(NO) 2{CH3SCH2C(NH2)NHO}2{CH3SCH2C(NH)NO}2] was determined by X-ray single crystal diffraction. Crystal data are follows: Monoclinic, $P21}a$, a = 22.14(2) $\AA$, b = 14.93(1) $\AA$, c = 23.20(1) $\AA$, $\beta$ = 111.08(6) $\AA$, V = 7155(9) $\AA$, Z = 4, final R = 0.072 for 6191(I > $3\sigma(I)).$ The structure of complex forms two dinuclear [W2O5{CH3SCH2C(NH2)NHO}{CH3SCH2C(NH)NO}] and a central {Mo(NO)2} 2+ core. The geometric structure of the {Mo(NO)2} 2+unit is the formally cistype and C2v symmetry.

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Synthesis and Structure of trans-Dichlorobis(diisopropylaniline) palladium(II), trans-$[Pd(NH_2-C_6H_3-2, 6-i-Pr_2)_2Cl_2]$ (trans-Dichlorobis(diisopropylaniline) palladium(II), trans-$[Pd(NH_2-C_6H_3-2, 6-i-Pr_2)_2Cl_2]$의 합성 및 구조)

  • Hye Jin Kim;Won Seok Han;Soon Won Lee
    • Korean Journal of Crystallography
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    • v.12 no.3
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    • pp.137-140
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    • 2001
  • Compound PdCl₂(Phc≡N)₂(1) reacted with 2,6-diisopropylaniline to give trans-[Pd(NH₂-C/sub 6/-H₃-2, 6-i-Pr₂)₂Cl₂] (2). Compound 2 was characterized by spectroscopy (¹H-NMR, /sup 13/C-NMR, and IR) and X-ray diffraction. Crystallographic data for 2: monoclinic space group P2₁/n, a=13.532(3) Å, b=5.749(1) Å, c=17.880(4)Å, β=103.84(2)°, Z=2, R(wR₂)=0.0466(0.1226).

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