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Global Small Solutions of the Cauchy Problem for Nonisotropic Schrödinger Equations

  • Zhao, Xiangqing;Cui, Shangbin
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.101-108
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    • 2008
  • In this paper we study the existence of global small solutions of the Cauchy problem for the non-isotropically perturbed nonlinear Schr$\"{o}$dinger equation: $iu_t\;+\;{\Delta}u\;+\;{\mid}u{\mid}^{\alpha}u\;+\;a{\Sigma}_i^d\;u_{x_ix_ix_ix_i}$ = 0, where a is real constant, 1 $\leq$ d < n is a integer is a positive constant, and x = $(x_1,x_2,\cdots,x_n)\;\in\;R^n$. For some admissible ${\alpha}$ we show the existence of global(almost global) solutions and we calculate the regularity of those solutions.

FURTHER BOUNDS FOR THE ESTIMATION ERROR VARIANCE OF A CONTINUOUS STREAM WITH STATIONARY VARIOGRAM

  • DRAGOMIR, S.S.;BARNETT, N.S.;GOMM, I.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.101-107
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    • 2000
  • In this paper we establish an upper bound for the estimation error variance of a continuous stream with a stationary variogram V which is assumed to be of the r-Holder type (Lipschitzian) on [-d, d]. Functional properties for the mapping ${\xi}(t):=E[(X-X(t))^2]$, $t{\in}[0,d]$, are also given.

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The Crystal Structure of N-(Diphenylmethylene) aminomethylphosphonate (N-(Diphenylmethylene)aminomethylphosphonate의 결정 구조)

  • 김문집;박호종;김대영
    • Korean Journal of Crystallography
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    • v.13 no.2
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    • pp.86-90
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    • 2002
  • The structure of N-(Diphenylmethylene)aminomethylphosphonate has been determined by X-ray diffraction methods. The crystal system is triclinic, space group P(equation omitted), unit cell constants, a=8.967(2) (equation omitted), b=9.309(2) (equation omitted), c= 10.981(2) (equation omitted), α=101.42(2)°, β=92.22(2)°, γ=92.23(2)°, V=896.8(3) (equation omitted), T=296 K, Z=2, D/sub c/=1.227 Mgm/sup -3/. The intensity data were collected on an Enraf-Nonius CAD-4 Diffractometer with graphite monochromated MoKα radiation (λ=0.7107(equation omitted)). The molecular structure was solved by direct methods and refined by full-matrix least-squares to a final R=7.3% for 979 unique observed F/sub o/>4σ(F/sub o/) refections and 209 parameters.

Structural and Electrical Properties of WOx Thin Films Deposited by Direct Current Reactive Sputtering for NOx Gas Sensor

  • Yoon, Young-Soo;Kim, Tae-Song;Park, Won-Kook
    • Journal of the Korean Ceramic Society
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    • v.41 no.2
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    • pp.97-101
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    • 2004
  • W $O_{x}$-based semiconductor type thin film gas sensor was fabricated for the detection of N $O_{x}$ by reactive d.c. sputtering method. The relative oxidation state of the deposited W $O_{x}$ films was approximately compared by the calculation of the difference of the binding energy between Ols to W4 $f_{7}$2/ core level XPS spectra in the standard W $O_3$ powder of known composition. As the annealing temperature increased from 500 to 80$0^{\circ}C$, relative oxygen contents and grain size of the sputtered films were gradually increased. As the results of sensitivity ( $R_{gas}$/ $R_{air}$) measurements for the 5 ppm N $O_2$ gas, the sensitivity was 110 and the sensor showed recovery time as fast as 200 s. The other sensor properties were examined in terms of surface microstructure, annealing temperature, and relative oxygen contents. These results indicated that the W $O_3$ thin film with well controlled structure is a good candidate for monitoring and controlling of automobile exhaust.haust.t.t.t.

Texture Development of Cold Rolled and T-6 Treated 7X1X Al-alloy with 0.1% Sc (0.1% Sc이 첨가된 7X1X Al-합금의 압연과 T-6열처리에 따른 집합조직의 발달)

  • Jea, C.W.;Jin, S.J.;Chung, D.S.;Lim, S.T.;Park, N.J.
    • Journal of the Korean Society for Heat Treatment
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    • v.17 no.2
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    • pp.101-105
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    • 2004
  • After extrusion, cold rolling and T-6 treatment, texture development of 7x1x Al-alloy with 0.1% Sc is studied. During extrusion the very strong <111>+weak <100> fiber texture is developed, which is Influenced on the formation of rolling texture. The texture after 80% cold rolling can be described by strong{112}<111>(Cu)+{123}<634>(S) component in the cross section of the extruded rod, the strong -fiber+weak{110}<001>(Goss) components in the longitudinal section, and the strong {110}<112>(Bs)+weak{001}<100>(Cube) components in the transverse section. The components of rolling texture are remained after T-6 treatment, but the maximum density of ODF is higher. The calculated mean r-values and the planar anisotropy are relatively high, which are dependent on the texture. After T-6 treatment, recrystallized equiaxed grains with average grain size of $1{\sim}2{\mu}m$ are obtained.

The Resolving Method of Graft-Tunnel Mismatch in Arthroscopic ACL Reconstruction Using Bone-Patellar Tendon-Bone Graft (골-슬개건-골을 이용한 관절경적 전방십자인대 재건술시 이식물-터널 길이의 부조화를 줄이는 방법)

  • Cho, Se-Hyun;Park, Hyung-Bin;Ha, Sung-Jin
    • Journal of the Korean Arthroscopy Society
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    • v.3 no.2
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    • pp.97-101
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    • 1999
  • Purpose : The purpose of this study is to prevent thc graft-tunnel mismatch by measuring the patellar tendon length, intertunnel distance, tibial tunnel length and by obtaining appropriate bone block length. Materials and Methods : Authors analyzed 15 patients who had taken the anterior cruciate ligament reconstruction from March 1997 to June 1999. Tibial guide was always set on the "endo" $40^{\circ}$ position(Acufex, MA, USA). We measured the following indices, intertunnel distance(X), tibial tunnel length(T), patellar tendon length(N), tibia bone plug length(Y). Both of the femoral tunnel length(F) and the patellar bone plug length(P) were made in 25mm. The appropriate tibial bone plug length was simply calculated by subtracting the patellar tendon length from the sum of the intertunnel distance and thc tibial tunnel length(Y=X+T-N). Results : The average indices were as follows ; the intertunnel distance(X) was $23.4{\pm}1.4mm$, the tibial tunnel length(T) was $43.6{\pm}1.7mm$, the patellar tendon length was $40{\pm}2.4mm$, and the tibia bone plug length was $27{\pm}2.4mm$. Conclusion : In authors' endoscopic technique, establishment of individually determined optimal tibial bone plug length, based on total tunnel length and patellar tendon length could prevent the problem of graft-tunnel mismatch.

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Design and Fabrication of a Micro Gas Sensor Using Nano Sensing Materials on Multi-layer Type Micro Platform with Low Power Consumption (마이크로 플랫폼 상에 나노 감지 재료를 이용한 저전력 NOX 센서의 설계 및 제조)

  • Park, Sang-Il;Park, Joon-Shik;Lee, Min-Ho;Park, Kwang-Bum;Kim, Seong-Dong;Park, Hyo-Derk;Lee, In-Kyu
    • IEMEK Journal of Embedded Systems and Applications
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    • v.2 no.2
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    • pp.76-81
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    • 2007
  • A novel multi-layer type micro gas sensor for $NO_X$ detection was designed and fabricated. Micro platform defined as type II-1 in this article for micro gas sensor was fabricated using the MEMS technology to meet the demanding needs of lower power consumption. Nano composite materials were fabricated with nanosized tin oxide powder and $\underline{m}$ulti-$\underline{w}$all $\underline{c}$arbon $\underline{n}$ano $\underline{t}$ube (MWCNT) to improve sensitivity. We investigated characteristics of fabricated multi-layer type micro gas sensor with $NO_2$ concentration variations at constant 2.2 V. Sensitivity (S) of micro gas sensor were observed to increase from 2.9, to 7.4 and 11.2 as concentrations of $NO_2$ gases increased from 2.4 ppm, to 3.6 ppm and 4.9 ppm. When 2.4 ppm of $NO_2$ gas was applied, response time and recovery time of micro gas sensor were recorded as 101 seconds and 142 seconds, respectively.

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Effects of Abdominal Meridian Massage with Aroma Oils on Relief of Constipation in Institutionalized Children with Cerebral Palsy (향 요법 복부 경락마사지가 뇌성마비 아동의 변비완화에 미치는 효과)

  • Kim, Tae-Im;Nam, Mi-Jung
    • Child Health Nursing Research
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    • v.13 no.1
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    • pp.90-101
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    • 2007
  • Purpose: To evaluate the effects of abdominal meridian massage either with the use of aroma oils or without using the oils for the relief of constipation in institutionalized children with cerebral palsy. Method: Using a nonequivalent control group pretest-posttest design, 40 children were randomly assigned to experimental (n=21) and control (n=19) groups. The experimental group received abdominal meridian massage with mixture of aroma oils, and the control group received abdominal meridian massage only. Prior to the intervention, baseline data were collected, and then abdominal meridian massage with or without aroma oils were given to both groups every morning for 15 minutes a day, six days a week, for 2 weeks. Outcome measures were number of bowel movements, amount of stool (gm), and frequency of laxatives, suppositories or enema. Using SPSS/Win 12.0 program, data were analyzed by $X^2$ test, t-test, and repeated measures ANOVA. Results: Children in the experimental group defecated a larger volume of stool, and used fewer laxatives than those in the control group. The treatment effects lasted for 1 week after treatment. Conclusion: Abdominal meridian massage with aroma oils appears to be an effective adjunct maneuver in relieving constipation among institutionalized children with cerebral palsy.

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The study on the synthesise of Ga$_2$O$_3$ nanomaterials (Ga$_2$O$_3$ 나노물질 합성에 관한 연구)

  • 이종수;박광수;노태용;성만영;김상식
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07a
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    • pp.13-17
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    • 2002
  • Ga$_2$O$_3$ nanomaterials were synthesized from mechanically ground GaN powders with thermal annealing Ga$_2$O$_3$ nanobelts were farmed in a nitrogen atmosphere, while Ga$_2$O$_3$ nanoparticles were formed inan oxygen atmosphere. The structural properties of the Ga$_2$O$_3$ nanomaterials were investigated by X-ray diffractometer (XRD) and high-resolution transmission eleotron microscope (HRTEM). The study of field emission scanning electron microscopy (FESEM) on the microstructures of nanomaterials revealed that the nanobelts are with the range of about 10∼200nm width and 10∼50nm thickness, and that nanoparticles are with the range of about 20∼50nm radius. On the basis of XRD and HRTEM data, we determined that the nanobelts grow toward a direction perpendicular to the (010) lattice plane and that they are enclosed by facets of the (10T) and (101) lattice planes. The formation of the nanobelts may be described by the vapor-solid(VS) mechanism, and the supersaturation device of gaseous phase may play an important role in the formation of Ga$_2$O$_3$ nanomaterials.

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10 year follow up of a boy with Lesch Nyhan Syndrome

  • Kim, Sook Za;Song, Wung Ju
    • Journal of The Korean Society of Inherited Metabolic disease
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    • v.11 no.1
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    • pp.88-98
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    • 2011
  • Lesch-Nyhan syndrome is a X-linked recessive disorder caused by a deficiency of the enzyme hypoxanthine-guanidine phosphoribosyltransferase (HPRT), enzyme to recycle purines. Case history: born induced vaginal delivery at 40 weeks complicated by premature membrane ruputure, body weight 2.820 gm. He showed failure to thrive showing severe protein aversion like milk products and pink daper. Developmental delay revealing rolling over at 10.5 month, followed by regression. Seizure at 2 months, His poor oral feeding was lifelong problem. Weak crying, spastic, choreoathetoid movement. Self mutilating behavior noted and diagnosed at age 3 years. No family history of consanguinity and neurological disorders. Method: Laboratory test, physical exam, imaging study and molecular. Clinical follow up Treat ment with allopurinol. Result: uric acid 10.5 mg/dL (N 3.5-7.9), APRT 151.1uM/ min/ml pro(25.7-101), HPRT 7.6 (N 233.5-701) and c.151C>T hemizygote (p,Arg51X). Abdominal sonogram showed staghorn calculi in both kidneys, brain MRI brain atrophy. Clinical follow up showed, seizure at 2 mo, developmental delay (head control and, rolling over at at 11mo, pointing body part at 2 yr 7 mo, eye hand coordination at 2 y 11mo,creeping at 3 y 7 mo, speaking words at 6 y 6 mo ),and developmental regression at 3 yr of age. Sleeping problem including insomnia and severe constipation. Self mutilating behavior (lip bite) started at 2.5 yr, neurologic sx including intermittent upward gaze accompanied by swallowing difficulty at 3 y 7 mo grand mal seizure at 4.5 yr and spastic extremity and trunchal hypotonia and choleoathetoid movement and ataxia at 6.5 yr. Scoliosis with severe spasticity at 9 yr 9 mo. Acute life threatening episode with irregular breathing at 9 yr and 9 mo, Emaciation and nephrolithiasis and recurrent pneumonia. Died suddenly at 10 yr 3 mo. Conclusion: life long feeding problem, chronic gut motility dysfunction, sleeping difficulty and progressing neurologic deterioration and nephrolithiasis despite normal serum uric acid maintence by allopurinol treatment.

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