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PEBBLING ON THE MIDDLE GRAPH OF A COMPLETE BINARY TREE

  • LOURDUSAMY, A.;NELLAINAYAKI, S. SARATHA;STEFFI, J. JENIFER
    • Journal of applied mathematics & informatics
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    • 제37권3_4호
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    • pp.163-176
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    • 2019
  • Given a distribution of pebbles on the vertices of a connected graph G, a pebbling move is defined as the removal of two pebbles from some vertex and the placement of one of those pebbles at an adjacent vertex. The t-pebbling number, $f_t(G)$, of a connected graph G, is the smallest positive integer such that from every placement of $f_t(G)$ pebbles, t pebbles can be moved to any specified vertex by a sequence of pebbling moves. A graph G has the 2t-pebbling property if for any distribution with more than $2f_t(G)$ - q pebbles, where q is the number of vertices with at least one pebble, it is possible, using the sequence of pebbling moves, to put 2t pebbles on any vertex. In this paper, we determine the t-pebbling number for the middle graph of a complete binary tree $M(B_h)$ and we show that the middle graph of a complete binary tree $M(B_h)$ satisfies the 2t-pebbling property.

유치악자와 총의치 장착자의 저작운동시 교근과 측두근의 근할성도에 관한 비교연구 (A COMPARATIVE ELECTROMYOGRAPHIC STUDY OF THE MASSETER AND ANTERIOR TEMPORAL MUSCLES DURING MASTICATORY FUNCTION OF SUBJECTS WITH NATURAL TEETH AND COMPLETE DENTURE WEARERS)

  • 최승현;최부병;최대균
    • 대한치과보철학회지
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    • 제29권1호
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    • pp.53-71
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    • 1991
  • This study was performed to investigate the muscular activity of the complete denture wearers compare with subjects with natural teeth. For the study, 10 subjects with natural dentition and 18 upper and lower complete denture wearers selected and the Bio-electric Processor EM2(Myo-tronics Reaserch, Inc., U.S.A.) with the surface electrodes was used to record electromyographic activity from the right and left middle of masseter and anterior temporal muscles of each subject during mandibular postural rest position, tapping of teeth from postural rest position, maximal clench, and right and left gum and raw carrow chewing. This results of this study were as follows : 1. In mandibular postural rest position, the denture wearers produces high muscular activity in contrast to natural objects(P<0.05) but, there was no difference between the state of denture removal and insertion, and the muscle activity of the anterior temporal muscle was high than the middle of masseter muscle in natural objects and denture wearers. 2. In tapping of teeth, there was no difference in muscle activity between natural objects and the state of denture removal of denture wearers. 3. In maximal clench, there was markedly lower denture wearers than natural objects in muscle activity, and the ratio of mean voltages was about 36 percentages. 4. In gum and raw carrow chewing, the activity was lower than natural object, the ratio was about 59 percentages. 5. In chewing, the mean voltages of the middle of masster muscle on the chewing side was highest, followed by the anterior temporal on the chewing side, the anterior temporal and masster muscles on the non-chewing side.

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경부 결핵성 림프절염에서 외과적 절제수술후 항결핵제 요법시의 치료 성적 (The Treatment Result of Antituberculous Chemotherapy Followed by Surgical Excisions in Tuberculous Cervical Lymphadenitis)

  • 박동은;김상호
    • 대한두경부종양학회지
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    • 제18권2호
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    • pp.192-196
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    • 2002
  • Objectives: Tuberculous cervical lymphadenitis is a frequently recurring disease when treated with chemotherapy alone without enough surgical removal of the tuberculous lesions. Authors reviewed retrospectively the treatment result of antituberculous chemotherapy following almost complete surgical removal of tuberculous foci in the neck. Materials and Methods: A retrospective clinical review and analysis was made in 127 cases of tuberculous cervical lymphadenitis patients treated during the past 10 years from 1989 to 1998 at the Department of General Surgery, Inje University Paik Hospital, Pusan. Results: 1) The peak age incidence was the 2nd decade(37.8%), and female was predominated over male by 2.3:1. 2) The time interval from the onset of symptoms to the first visit was less than 3 months in 60.6% of the patient. 3) The location of lymphadenitis was the right neck in 60%, the left neck 34%, and bilateral in 6% of the patient. 4) Signs on the first visit showed solitary masses(60%), abscess(25%) and both mixed(15%). 5) 25 patients(19%) had present or past history of tuberculosis; pulmonary tuberculosis 12 patients, tuberculous lymphadenitis 10 patients, and others 3 patients. 6) Locations of tuberculous lymphadenitis were posterior cervical triangle 70, supraclavicular 51, submandibular 19, anterior triangle 16 and others 4 cases. 7) The principle of treatment of cervical lymphadenitis was surgical management followed by chemotherapy. Surgical procedures were excision(s), curettage and drainage of abscess, combination of both, and biopsy in 60%, 22%, 12% and 6% respectively. Mean duration of antituberculous medication was 9 months after surgery. 8) The rate of recurrent and persistent tuberculous lymphadenitis was 9% in 4 years follow up. Conclusion: Tuberculous cervical lymphadenitis is a frequently recurring disease in young adult when only antituberculous chemotherapy was employed without almost complete removal of the lesions. It is considered that antituberculous medications for 6-9 months after removing the foci at a maximal extent by surgical excision and curettage will reduce the recurrence rate or persistence of tuberculous lymphadenitis.

Degradation of energetic compounds using an integrated zero-valent iron-Fenton process

  • Oh Seok-Young;Kim Byung J.;Chiu Pei C.;Cha Daniel K.
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.493-500
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    • 2003
  • The effect of reductive treatment with elemental iron on the extent of mineralization by Fenton oxidation was studied for the explosive 2,4,6-trinitrotoluene (TNT) and hexahydro-l,3,5-trinitro-l,3,5-triazine (RDX) using a completely-stirred tank reactor (CSTR). The results support the hypothesis that TNT and RDX are reduced with elemental iron to products that are oxidized more rapidly and completely by Fenton's reagent. Iron pretreatment enhanced the extent of TOC removal by approximately $20\%\;and\;60\%$ for TNT and RDX, respectively. Complete TOC removal was achieved for TNT and RDX solutions with iron pretreatment under optimal conditions. On the other hand, without iron pretreatment, complete mineralization of TNT and RDX solutions were not achieved even with much higher $H_2O_2$ and $Fe^{2+}$ concentrations. The bench-scale iron treatment-Fenton oxidation integrated system showed more than $95\%$ TOC removal for TNT and RDX solutions under optimal conditions. The proposed zero-valent iron-Fenton process was evaluated with pink water from the Iowa Army ammunition plant. Results from batch and column experiments show that TNT, RDX, and octahydro-l,3,5,7-tetranitro-l,3,5,7-tetrazocine (HMX) were completely removed from the pink water and that triaminotoluene (TAT) and ${NH_4}^+$ were recovered as products in reduction with zero-valent iron. By using an integrated system, $83.3\pm4.2\%$ of TOC was removed in a CSTR with 10 mM of $Fe^{2+}$ and 50 mM of $H_2O_2$. These results suggest that the reduction products of TNT and RDX are more rapidly and completely mineralized by Fenton oxidation and that a sequential iron treatment-Fenton oxidation process may be a viable technology for pink water treatment.

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Degradation of toxic azo dye (AO7) using Fenton's process

  • Sharma, Ashish;Verma, Manisha;Haritash, A.K.
    • Advances in environmental research
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    • 제5권3호
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    • pp.189-200
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    • 2016
  • This study aimed at advanced oxidation of hetero tri-functional reactive dye Acid orange 7 using photo-Fenton conditions in a lab-scale experiment. Decolourisation of Acid Orange 7 dye by Fenton's process was dependent on concentration of Hydrogen peroxide, Ferrous sulphate, pH, and contact time. A $2^3$ factorial design was used to evaluate the effects of these key factors: pH, Fe(II), and $H_2O_2$ concentration, for a dye concentration of 50 mg/L with COD of 340 mg/L at pH 3.0. The response function was removal of colour under optimised conditions; pH 3.0, [Fe(II)] 40.83 mg/L, [$H_2O_2$] 4.97 mmol/L; 13.6 min. of treatment resulting in 100% colour removal. The final COD of treated wastewater was nil suggesting that AOP is a potentially useful process of color removal and dye degradation/mineralisation of effluent having AO7. Minimum contact time for complete decolourisation was at 5 mmol/l $H_2O_2$ concentration. Increase in $FeSO_4$ (mg/l) concentration resulted in decrease of time for complete decolourisation. Box-Behnken Design was used to optimize the process variables. Maximum and minimum levels of pH (3-5), $H_2O_2$ (4-6 mmol/l), $FeSO_4$ (30-46 mg/l) and contact time (5-15 minutes) were used. The statistical analysis revealed a value of 0.88 for coefficient of regression ($R^2$) indicating a good fit of model. Calculated F-value was found higher than the tabulated value confirming to significance of the model. Based on student's t-test, Ferrous sulphate, pH, and contact time have a positive effect on the percent decolourisation of Acid Orange 7.

Hydraulic Evaluation and Performance of On-Site Sanitation Systems in Central Thailand

  • Koottatep, Thammarat;Eamrat, Rawintra;Pussayanavin, Tatchai;Polprasert, Chongrak
    • Environmental Engineering Research
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    • 제19권3호
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    • pp.269-274
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    • 2014
  • On-site sanitation systems are typically installed to treat grey and toilet wastewaters in areas without sewer and centralized treatment systems. It is well known that, due to inappropriate design and operation, treatment performance of these systems in developing countries is not satisfactory in the removal of pathogens and organic matters. This research aimed to investigate the hydraulic conditions occurring in some on-site sanitation systems and the effects of hydraulic retention times (HRTs) on the system performance. The experiments were conducted with a laboratory-scale septic tank (40L in size) and an actual septic tank (600L in size), to test the hydraulic conditions by using tracer study with HRTs varying at 12, 24 and 48 hr. The experimental results showed the dispersion numbers to be in the range of 0.017-0.320 and the short-circuit ratios in the range of 0.014-0.031, indicating the reactors having a high level of sort-circuiting and approaching complete-mix conditions. The removal efficiency of $BOD_5$ was found to be 67% and the $k_{30}$ values for $BOD_5$ was $2.04day^{-1}$. A modified complete-mix model based on the relationship between $BOD_5$ removal efficiencies and HRTs was developed and validated with actual-scale septic tank data having a correlation coefficient ($R^2$) of 0.90. Therefore, to better protect our environment and minimizing health risks, new generation toilets should be developed that could minimize short-circuiting and improving treatment performance.

Electrochemical treatment of cefalexin with Sb-doped SnO2 anode: Anode characterization and parameter effects

  • Ayse, Kurt;Hande, Helvacıoglu;Taner, Yonar
    • Advances in nano research
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    • 제13권6호
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    • pp.513-525
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    • 2022
  • In this study, it was aimed to evaluate direct oxidation of aqueous solution containing cefalexin antibiotic with new generation Sn/Sb/Ni: 500/8/1 anode. The fact that there is no such a study on treatment of cefalexin with these new anode made this study unique. According to the operating parameters evaluation COD graphs showed clearer results compared to TOC and CLX and thus, it was it was chosen as major parameter. Furthermore, pseudo-first degree kd values were calculated from CLX results to show more accurate and specific results. Experimental results showed that after 60 min of electrochemical oxidation, complete removal of COD and TOC was accomplished with 750 mg L-1 KCl, at pH 7, 50 mA cm-2 current density and 1 cm anode-cathode distance. Also, the stability of the Sn/Sb/Ni anode was evaluated by taking SEM and AFM images and XRD analysis before and after of electrochemical oxidation processes. According to the results, it was not occurred too much change on the anode surface even after 300 h of electrolysis. Thus, it was thought that the anode material was not corroded to a large extent. Furthermore, the removal efficiencies were very high for almost all the time and conditions. According to the results of the study, electrochemical oxidation with new generation Sn/Sb/Ni anodes for the removal of cefalexin antibiotic was found very successful and applicable due to require less reaction time complete mineralization and doesn't require pH adjustment step compared to other studies in literature. In future studies, different antibiotic types should be studied with this anode and maybe with real wastewaters to test applicability of the process in treatment of pharmaceutical wastewaters containing antibiotics, in a better way.

Hydrogen Plasma와 Oxygen Plasma를 이용한 50 nm 텅스텐 패턴의 Oxidation 및 Reduction에 관한 연구

  • 김종규;조성일;남석우;민경석;김찬규;염근영
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2012년도 제43회 하계 정기 학술대회 초록집
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    • pp.288-288
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    • 2012
  • The oxidation characteristics of tungsten line pattern during the carbon-based mask layer removal process using oxygen plasmas and the reduction characteristics of the WOx layer formed on the tungsten line surface using hydrogen plasmas have been investigated for sub-50 nm patterning processes. The surface oxidation of tungsten line during the mask layer removal process could be minimized by using a low temperature ($300^{\circ}K$) plasma processing instead of a high temperature plasma processing for the removal of the carbon-based material. Using this technique, the thickness of WOx on the tungsten line could be decreased to 25% of WOx formed by the high temperature processing. The WOx layer could be also completely removed at the low temperature of $300^{\circ}K$ using a hydrogen plasma by supplying bias power to the tungsten substrate to provide an activation energy for the reduction. When this oxidation and reduction technique was applied to actual 40 nm-CD device processing, the complete removal of WOx formed on the sidewall of tungsten line could be observed.

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Effect of Lubricant Additives on the Surface Fatigue Performance of Gear Oils

  • Hong, Hyun-Soo;Huston, Michael E.;Stadnyk, Nicholas M.
    • Tribology and Lubricants
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    • 제11권5호
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    • pp.136-143
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    • 1995
  • The effect of additive chemistry on the serface fatigue of gears was investigated using the FZG gear tester and fluids based on an API GL-5 grade oil. Surface fatigue lives were determined as a function of load and additive chemistry. At 1.52 GPa, the removal of the primary extreme pressure additive (EP) from the fully formulated gear oil decreased the fatigue life of gears slightly (4%), however, the removal of the primary antiwear additive (AW) decreased the fatigue life of gears significantly (83%). At 1.86 GPa, the removal of the EP additive from the fully formulated gear oil decresed the gear fatigue life 27%, however, the removal of the primary AW additive decreased the fatigue life of gears significantly (75%). Micropitting was the dominant surface morphology in the dedendum of gears tested With two oils at load stage: one using the complete additive package, and a second where the EP additive has been removed. However, spalling is the primary failure mode of gears tested without an AW additive independent of whether an EP agent was present. Surface analysis of pinion gears showed the formation of a mixed phosphate/phosphite-oxide layer on the surface of gears tested with fluids containing an AW. Formation of this layer seems to be key to long fatigue life.

Comparison of three different endoscopic approaches in the treatment of bladder calculi

  • Jang, Jae Youn;Ko, Young Hwii;Song, Phil Hyun;Choi, Jae Young
    • Journal of Yeungnam Medical Science
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    • 제36권1호
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    • pp.16-19
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    • 2019
  • Background: This study compared the following three endoscopic techniques used to treat bladder stones: transurethral cystoscope used with a pneumatic lithoclast or nephroscope used with a pneumatic lithoclast and nephroscope used with an ultrasonic lithoclast. Methods: Between January 2013 and May 2016, 107 patients with bladder stones underwent endoscopic treatment. Patients were classified into three groups based on the endoscopic techniques and energy modalities used in each group as: group 1 (transurethral stone removal using a cystoscope with pneumatic lithoclast), group 2 (transurethral stone removal using a nephroscope with pneumatic lithoclast), and group 3 (transurethral stone removal using a nephroscope with ultrasonic lithoclast). Baseline and perioperative data were retrospectively compared between three groups. Results: No statistically significant intergroup differences were observed in age, sex ratio, and stone size. A statistically significant intergroup difference was observed in the operation time-group 1, $71.3{\pm}46.6min$; group 2, $33.0{\pm}13.7min$; and group 3, $24.6{\pm}8.0min$. All patients showed complete stone clearance. The number of urethral entries was higher in group 1 than in the other groups. Significant complications did not occur in any patient. Conclusion: Nephroscopy scores over cystoscopy for the removal of bladder stones with respect to operation time. Ultrasonic lithoclast is a safe and efficacious modality that scores over a pneumatic lithoclast with respect to the operation time.