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DIFFERENTIAL EQUATIONS AND ZEROS FOR NEW MIXED-TYPE HERMITE POLYNOMIALS

  • JUNG YOOG KANG
    • Journal of applied mathematics & informatics
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    • v.41 no.4
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    • pp.869-882
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    • 2023
  • In this paper, we find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials. Moreover, we observe the structure and symmetry of the zeros of the 2-variable mixed-type Hermite equations.

Arthroscopic Findings of Biceps pulley in Shoulder Pathology (견관절 병변과 관련된 이두박건 활차의 관절경적 소견)

  • Choi Chang-Hyuk;Kim Shin-Kun;Jang Woo-Chang;Lee Sung-Jin
    • Journal of the Korean Arthroscopy Society
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    • v.6 no.2
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    • pp.136-141
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    • 2002
  • Purpose : The role of biceps pulley is stabilizing sling for the long head of the biceps tendon against anterior shearing stress in the rotator interval. The purpose of this study was to classify arthroscopic findings of biceps pulley and to evaluate the relationship with shoulder pathology. Materials and Methods : From January 2002 through July 2002, we observed biceps pulley in 49 cases of shoulder pathology treated with arthroscopically. There were 22 cases of anterior instability, 12 cases of rotator cuff tear, 5 of impingement syndrome, 6 of frozen shoulder, 2 of superior labral injury and 1 of each scapulothoracic bursitis and biceps dislocation. We classified biceps pulley as four types according to the arthroscopic appearance. Type I its stretched type. type II as sling type, type III at detached sling type, and type IV as concealed type. Results : We observed stretched type in 24 cases $(49\%)$, sling type in 5 cases $(10\%)$, detached sling type in 2 cases, concealed type in 1 case, and unidentified cases in 17 cases $(35\%)$. Conclusion : Development and variation of biceps pulley may have symptomatic correlation according to the degree of shoulder motion or pathologic status.

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COMPARATIVE STUDIES OF RETENTIVE FORCES IN MAXILLARY OVERDENTURE BAR ATTACHMENTS (상악 임플랜트 Overdenture에서 Bar Attachment 설계에 따른 유지력 변화에 관한 연구)

  • Son Cha-Young;Jeong Chang-Mo;Jeon Young-Chan;Lim Jang-Seop;Jeong Hee-Chan
    • The Journal of Korean Academy of Prosthodontics
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    • v.43 no.5
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    • pp.650-661
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    • 2005
  • Statement of problem: It could be hypothesised that attachments, which provide more retention against vortical and horizontal dislodgement, will be associated with more favorable parameters of oral function. Purpose: This study was to provide data of initial retentive force and retention loss of different bar attachment systems recommended for use with maxillary implant overdentures. Material and method: 4 implants were placed in the anterior region of edentulous maxilla, five different systems of bar attachment were fabricated as follows: cantilevered Hader bar using clips (Type 1), Hader bar using clips without cantilever (Type 2), Hader bar using clip and ERA attachment orange male (Type 3), Hader bar using clip and ERA attachment white male (Type 4), and Bar using magnets (Type 5). Each samples were placed in the universal testing machine for determination of retentive forces(at initial and after every 200 cycles up to 1,000 cycles). Results and Conclusion 1. Attachment type 1 showed the biggest initial retentive force followed by type 3, type 2, type 4, and lastly type 5(P<0.001). 2. After 1,000 cycles of repeated removals of attachments, significant loss of retentive forces was taken place except for attachment type 5. 3. After 1,000 cycles of repeated removals, the loss of retentive force between type 1 and type 2, which used Hader bar and clip attachments. was greater in type 1 that had wider clip formation. And between type 3 and type 4, which used ERA attachments, the loss of retentive force was greater in type 4 that had white male attached (P<0.001). 4. After 1.000 cycles of repeated removals, attachment type 3 showed the biggest retentive force followed by type 2, type 4, type 1 and lastly type. 5. There was no significant difference between attachment type 3 and 4, and type 4 and 1(P<0.001).

Approaching Chronic Tension-type Headache through Sasang Constitutional Therapy: A Series of 3 Cases who were classified as the Soeum Type and Taeeum Type (만성 긴장성 두통을 호소하는 소음인(少陰人), 태음인(太陰人) 환자 3례)

  • Oh, Hye-Won;Pak, Yun-Seong;Lee, Jun-Hee;Koh, Byung-Hee;Lee, Eui-Ju
    • Journal of Sasang Constitutional Medicine
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    • v.25 no.4
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    • pp.384-395
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    • 2013
  • Objectives We report a series of 3 chronic tension-type headache cases who were constitutionally typed as the Soeum type, Taeeum type and treated with Dangguibaekhaoguanjung-tang, Chungshimyeonja-tang or Chunghyulganggui-tang. Methods In treating 1 patient who was constitutionally typed as the Soeum type, Case 1 fell into the category of the Taeeum symptomatology, 2 patients who were constitutionally typed as the Taeeum type, Case 2 and Case 3 fell into the category of Dry-Heat symptomatology. Each patient was given Sasang medication according to protocol: Dangguibaekhaoguanjung-tang to Case 1, Chungshimyeonja-tang to Case 2, Chunghyulganggui-tang to Case 3. On admission day and approximately 2 weeks later, patients evaluated their pain and quality of life using SF-36 and HIT-6. The patients symptoms were observed daily and NRS scores were recorded daily. Results and Conclusions 2 Patients(Case1, Case2) showed improvement in their NRS scores, SF-36 scores and HIT-6 scores. 1 patient(Case3) showed improvement in NRS scores, but worse SF-36 scores and no improvement in HIT-6 scores. Treating chronic tension-type headache based on Sasang Constitutional therapy was found to be effective for managing pain. The treatment protocol suggested in this investigation should be explored and verified in future studies.

A Study on the Fabrication and Characteristic Analysis of Blue Organic Light Emitting Devices (청색 유기발광소자 제작 및 특성분석에 관한 연구)

  • 김중연;노병규;강명구;오환술
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.39 no.1
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    • pp.9-15
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    • 2002
  • In this thesis, blue emission organic light emitting devices were fabricated by using vacuum deposition method. Two types of device were employed to realize blue emission. Type I had an emitting layer containing TPB-doped $Alq_3$ and type II had an emitting layer containing DPA-doped $Alq_3$. The variable dopant concentration was 0.5 ~2 wt%. The electrical and optical characteristics of these devices have been investigated. The more dopant concentration increased, the nearer the blue coordinate. Type I than type II had a lower turn on voltage and driving voltage. The emission luminescence of type II was brighter than that of type I. When we applied 15V to type II with DPA(2wt%)-doped $Alq_3$, we have achived the emission luminescence of 1282cd/$m^2$, the emission wavelength of 476nm and the blue emission CIE coordination of (0.1273, 0.0672)

A Comparative Study of Interlocking IM Nailing and LCP Fixation through MIPPO Technique in the Treatment of Distal Metaphyseal Tibial Fracture (경골 원위부 골절 치료에서 최소 침습적 접근법을 통한 잠금 나사 금속판 고정술과 교합성 골수강 내 금속정 고정술의 비교 연구)

  • Lee, Chang-Soo;Suh, Jin-Soo;Kim, Ji-Hoon
    • Journal of Korean Foot and Ankle Society
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    • v.12 no.1
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    • pp.80-85
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    • 2008
  • Purpose: To evaluate and compare the outcome between interlocking IM nailing and LCP fixation in the treatment of distal metaphyseal tibial fracture. Materials and Methods: From January 2000 to December 2007, 17 patient were treated by interlocking IM nail and 13 patient were treated by LCP fixation for distal metaphyseal tibial fracture. Results: According to AO classification, there were 2 type A1 fracture (12%), 6 type A2 fracture (36%), 3 type A3 fracture (18%), 4 type B1 fracture (24%), 1 type B3 fracture (6%), 1 type C1 fracture (6%) in interlocking IM nailing group and 1 type A2 fracture (7.7%), 2 type A3 fracture (15.4%), 3 type B1 fracture (23%), 3 type B2 fracture (23%), 3 type C1 fracture (23%), 1 type C2 fracture (7.7%) in LCP fixation group. The clinical functional outcome (according to AOFAS score) is 75.6 point in IM nailing group and 81.5 point in LCP fixation group. In IM nailing group, 65% of patient showed satisfactory result and In LCP fixation group, 77% of patient showed satisfactory result. Conclusion: There is no difference on clinical results between IM nailing and MIPPO (minimal invasive percutaneous plate osteosynthesis) group in the treatment of distal tibia fracture. But MIPPO group have higher subjective satisfactory score and less complication rate. The weakness of our study is a small case number and limited follow-up and we believe a better designed prospective study will be needed.

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A Dose Analysis on the Ovary According to the Type of Shielding Material and the Change of Additional Filter in Radiography Using Diagnostic X-ray (진단용 X선을 이용한 방사선검사에서 차폐체 모양과 부가필터 변화에 따른 난소의 선량 분석)

  • Choi, Joon-Ho
    • Journal of radiological science and technology
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    • v.42 no.6
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    • pp.429-434
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    • 2019
  • The gonads are directly affected by radiation exposure during radiography of the pelvis, abdomen, and spine. Exposure of the gonads to radiation can cause genetic mutations and can result in the occurrence of malignant tumors. In this study, we created three types of shielding material shapes for shielding of the ovaries, which are the gonads of female during radiography of the pelvis, and comparative evaluations using shadow shielding methods. The source surface distance(SSD) was 100 cm and the field size was 42 cm × 43 cm. The three types of shielding material shapes(type 1, 2 and 3) were assessed and the entrance surface dose in the ovaries were measured. The thickness of the shielding material was expanded from 0.3 mm to 2.4 mm and after five repetitions, radiation values were measured and mean values were calculated. The mean dose were 3.09 mGy for type 1, 3.54 mGy for type 2, and 3.19 mGy for type 3, indicating that the measurements were the lowest for type 1. When an additional filter of 0.2 Cu + 1 Al was used, the dose were 3.72 mGy for type 1, 5.43 mGy for type 2, and 4.05 mGy for type 3, indicating that the measurements were the lowest for type 1. The results show that, even if the shielding material is not thick, in other words, even with a thickness of 2.94 mGy for the SN 3(0.9 mm) of type 1, shielding can be achieved, with a patient dose lower than the diagnostic reference level(3.42 mGy). Additionally, among the three types of shielding material, the type 1 appeared to be the most appropriate shielding material. It is thought that the use of shielding material could reduce the risk factors for stochastic effects or critical effects of ionizing radiation during pelvic or lumbar radiography.

Higher order DC for block ciphers with 2-block structure (2-블록 구조 블록 암호에 대한 고차 차분 공격)

  • 박상우
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.9 no.3
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    • pp.27-38
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    • 1999
  • We study on the security for the block ciphers with 20block structure which have provable security against DC and LC on the view point of higher order DC, 2-block structures are classified three types according to the location of round function such as C(Center)-type R(Right)-type and L(Left)-type We prove that in the case of 4 rounds encryption function these three types provide the equal strength against higher order DC and that in the case of 5 or more rounds R-type is weaker than C-type and L-type.

ANALYSIS OF QUEUEING MODEL WITH PRIORITY SCHEDULING BY SUPPLEMENTARY VARIABLE METHOD

  • Choi, Doo Il
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.147-154
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    • 2013
  • We analyze queueing model with priority scheduling by supplementary variable method. Customers are classified into two types (type-1 and type-2 ) according to their characteristics. Customers of each type arrive by independent Poisson processes, and all customers regardless of type have same general service time. The service order of each type is determined by the queue length of type-1 buffer. If the queue length of type-1 customer exceeds a threshold L, the service priority is given to the type-1 customer. Otherwise, the service priority is given to type-2 customer. Method of supplementary variable by remaining service time gives us information for queue length of two buffers. That is, we derive the differential difference equations for our queueing system. We obtain joint probability generating function for two queue lengths and the remaining service time. Also, the mean queue length of each buffer is derived.