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THE SUM OF SOME STRING OF CONSECUTIVE WITH A DIFFERENCE OF 2k

  • LEE, SOUNGDOUK
    • Journal of applied mathematics & informatics
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    • v.37 no.3_4
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    • pp.177-182
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    • 2019
  • This study is about the number expressed and the number not expressed in terms of the sum of consecutive natural numbers with a difference of 2k. Since it is difficult to generalize in cases of onsecutive positive integers with a difference of 2k, the table of cases of 4, 6, 8, 10, and 12 was examined to find the normality and to prove the hypothesis through the results. Generalized guesswork through tables was made to establish and prove the hypothesis of the number of possible and impossible numbers that are to all consecutive natural numbers with a difference of 2k. Finally, it was possible to verify the possibility and impossibility of the sum of consecutive cases of 124 and 2010. It is expected to be investigated the sum of consecutive natural numbers with a difference of 2k + 1, as a future research task.

Overview of Benign and Malignant Prostatic Disease in Pakistani Patients: A Clinical and Histopathological Perspective

  • Arshad, Huma;Ahmad, Zubair
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.5
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    • pp.3005-3010
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    • 2013
  • Background: To present the overall clinical and histological perspective of benign and malignant prostatic disease as seen in our practice in the Section of Histopathology, Department of Pathology and Microbiology, Aga Khan University Hospital, Karachi, Pakistan. Materials and Methods: All consecutive prostate specimens (transurethral resection or TUR, enucleation, needle biopsies) received between July 1, 2012 and December 31, 2012 were included in the study. Results: Of the total of 785 cases, 621 (79.1%) were TUR specimens, 80 (10.2%) enucleation specimens, and 84 (10.7%) needle biopsies. Some 595 (75.8%) were benign, while 190 (24.2%) were malignant. Mean weight of BPH specimens was 19 grams and 43 grams for TUR and enucleation specimens respectively. Almost 67% of adenocarcinomas were detected on TUR or enucleation specimens. Of the above cases, 41.7% were clinically benign while 58.3% were clinically malignant. The average volume of carcinoma in all cases ranged between 60 to 65%. The average number of cores involved in needle biopsies was 5. In general, higher Gleason scores were seen in TUR/enucleation specimens than in needle biopsies. Overall, in all types of specimens, commonest Gleason score was 7, seen in 74 (38.9%) cases, followed by Gleason score 9 seen in 47 (24.7%) cases. Out of the 63 needle biopsies with carcinoma, radical prostatectomy was performed in 16 cases (25.4%). Conclusions: Benign prostatic hyperplasia (BPH) is extremely common and constitutes the bulk of prostate specimens. TMajority of prostatic carcinomas are still diagnosed on TUR or enucleation specimens. These included both clinically benign and clinically malignant cases. The volume of carcinoma in these specimens was quite high indicating extensive disease. Gleason scores were also generally high compared with scores from needle biopsies. Commonest Gleason score in all type of specimens was 7. Pathologic staging was possible in very few cases since radical prostatectomies are rarely performed.

Traumatic Injury of Diaphragm (외상성 횡격막 손상)

  • 신호승
    • Journal of Chest Surgery
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    • v.28 no.3
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    • pp.308-312
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    • 1995
  • A 5-year retrospective study of 14 patients with diaphragmatic injuries revealed 9 blunt and 5 penetrating injuries. In the blunt trauma group, 7 were left and 2 were right side. The penetrating diaphragmatic wound consist of 3 left and 2 right sided. Sex ratio was 11: 3, with male predominanace. Preoperative diagnosis was possible in 9 cases and delayed diagnosis [greater than 24 hours occured in 5 cases.Simple chest X-ray was diagnostic or highly suggestive in 7 cases. 7 cases were diagnosed diaphragmatic injuries by computed tomography, fiuroscopy or by explorative operation. All of the cases had association injury. 11 cases of diaphragmatic ruptures were corrected through thoracotomy and 3 cases needed exploratory laparotomy. One death occured after operation due to associated injuries and respiratory failure. Blunt and penetrating diaphragmatic injuries remain a diagnostic challenge and associated injuries, delayed diagnosis determine the outcome.

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Traumatic diaphragmatic injuries (외상성 횡격막 손상)

  • 이형민
    • Journal of Chest Surgery
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    • v.27 no.8
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    • pp.643-649
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    • 1994
  • We evaluated sixteen patients of traumatic diaphragmatic injuries that we have experienced from Jan. 1987 to Aug 1993. Age was ranged from 6 to 71 years, predominantly in the fourth and fifth decades. 13 were male and 3 were female, a ratio of 4.3: 1. Blunt trauma was develped in 11 [Lt 7, Rt 4], penetrating trauma in 5 [Lt 2, Rt 3]. Preoperative diagnosis of diaphragmatic injury was possible in 8 patients [72.2 %] in blunt trauma, and 1 patient [20 %] in penetrating trauma. 8 cases[54.5%] in blunt trauma, and 4 cases in penetrating trauma were treated within 24 hours,meanwhile, patients treated after 10 days were 3, all by blunt trauma.The repair of 16 cases were performed with thoracic approach in 4 cases, thoracoabdominal approach in 3 cases, and abdominal approach in 9 cases. The herniated organs in thorax were stomach [5], colon [3], liver [2], and pancreas [1]. Postoperative complication were developed in 9cases[56.3%] significantly related with delayed operation time [p < 0.01 ]. Hospital mortality was 12.5 % [2/16], and the causes of death were hypovolemic shock in one and hepatic failure due to portal vein rupture in another.

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Coronoid Process Hyperplasia: A Rare Case of Restricted Mouth Opening Masquerading as Temporomandibular Disorder

  • Juhyun Cha;Jin Woo Chung
    • Journal of Oral Medicine and Pain
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    • v.48 no.3
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    • pp.112-117
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    • 2023
  • Coronoid process hyperplasia (CPH) of the mandible is a rare condition in which abnormal elongation of the coronoid process leads to chronic mandibular hypomobility. CPH causes impingement or impedance of the coronoid process on the inner surface of the frontal part of the zygomatic bone during mouth opening. The lack of significant symptoms makes the diagnosis difficult. Its etiology remains inconclusive despite several theories being suggested. In this report, three reviewed cases are presented. All three patients visited our clinic with limited mouth opening as the chief complaint. Standard clinical and radiographic examinations were conducted under the initial impression of temporomandibular disorders (TMDs), and restricted jaw movements were confirmed in all cases. The absence of improved signs and symptoms following conservative treatment for TMDs or the indeterminate plain radiographs required the attending clinicians to consider three-dimensional imagery. Computed tomography revealed bilateral coronoid hyperplasia in all cases and impingement on the zygomatic bone in two of the three cases. After concluding that this condition caused the patients' limited mouth opening, the patients were referred to the Department of Oral and Maxillofacial Surgery for possible bilateral coronoidectomy or coronoidotomy. CPH usually presents no symptoms apart from a progressive reduction of mouth opening over time. Diagnosis is often delayed, and patients may undergo unnecessary treatment procedures. Clinicians should be aware of this condition and exercise caution in the differential diagnosis of patients with chronic mandibular hypomobility.

Surgical Repair of Achilles Tendon Rupture by Minimal Incision Technique (최소 절개 기법에 의한 아킬레스건 파열의 수술적 봉합술)

  • Jung, Hong-Geun;Paik, Ho-Dong
    • Journal of Korean Foot and Ankle Society
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    • v.9 no.2
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    • pp.173-178
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    • 2005
  • Propose: There have been many debates about the ideal surgical technique for acute Achilles tendon rupture. The purpose of this study is to review and analyze the clinical outcome of the acute Achilles tendon ruptures that had been repaired by indirect suture technique with minimal incision that utilized an instrument called Achillon (Newdeal, France). Materials and Methods: This study is based on the 14 cases (14 patients) of acute Achilles tendon total ruptures that have been repaired by minimal incision technique utilizing Achillon instrument from June 2003 to December 2004. Two cases were reruptured before 8 weeks and repaired again using Krackow suture which left 12 feet for postoperative functional evaluation with at least 6 months of follow-up. Ten cases were men and average age at time of injury was 34.4 (26-49) years. The time from injury to surgery was an average of 4.5 (1-9) days and the postoperative evaluations were done by an Arner-Lindholm scale and AOFAS score. The ability to return to original work and sports activities as well as patient satisfaction were also evaluated. Results: The follow-up period was averaged for 13.2 (6-24) months. Seventy-one percent of cases were ruptured during sports activities. The ruptured level was the average of 5.1 cm (3.2-8 cm) above calcaneal attachment and the skin incision was averaged for 2.7 cm (2.5-3.0 cm) long. At final follow-up, standing on tip-toe was possible in all cases while the heel-floor height on ruptured side was shorter by 0.7 cm (0-2 cm). By Arner-Lindholm evaluation scale, 9 cases were excellent, and 3 cases were good. Overall AOFAS score was an average of 96.1 (94-100), and all patients were satisfied with the result. Patients returned to work at an average of 1.3 months after the surgery and pre-injury sports activities were all possible from at 6 months after operation. Conclusion: Since we have treated acute Achilles tendon ruptures with minimal incision technique utilizing the Achillon and gained encouraging functional results with all patients returning to previous work with high patient satisfaction, this technique could be recommended as one of the ideal surgical options for the Achilles tendon ruptures.

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A Clinical Study of Free Vascularized Osteocutaneous Fibular Transplantation in Infected Nonunion of Tibia (감염성 경골 불유합에 시행한 혈관 부착 유리 피부편 및 생비골 이식 수술의 임상적 고찰)

  • Song, Joon-Min;Kim, Jin-Ill;Kwon, Hee;Yoo, Jae-Eung;Park, Jong-Suk;Rah, Soo-Kyoon;Choi, Chang-Uk
    • Archives of Reconstructive Microsurgery
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    • v.9 no.1
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    • pp.27-36
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    • 2000
  • February 1995 to September 1999, authors have experienced seven cases of infected nonunion of tibial fractures with associated soft tissue injury and skin defect, and have accomplished union in all cases by free vascularized fibular graft. All grafts healed with no radiographic evidence of bone necrosis or resorption and have been able to treat large bony defect and skin defect simultaneously. In this study, five cases of vascularized free fibular osteocutaneous flap transfer and two cases of free fibular graft are reported. All of seven cases were infected nonunion of tibia. The results were obtained as follows 1) The mean duration of the radiologic bone union was average 5.3months. 2) Grafted fibular has been hypertrophied, average 10.6 months. 3) In five cases of preservation of posterior cortex of tibia, bony union and hypertrophy of grafted bone were earlier than that two cases of complete segmental resection of tibia. 4) In two cases which only free vascularized fibular graft were performed because achievement of cutaneous flap was failed, authors found that soft tissue defect was filled with granulation tissue and split-thickness skin graft was possible over the granulation tissue after 3 weeks postoperatively.

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Timing and Causes of Vascular Compromise in Breast Reconstruction with Free TRAM flap (복직근 유리 피판을 이용한 유방 재건에서 혈관성 이상 소견에 의한 재수술의 시점 및 원인)

  • Kim, Ji yeon;Chang, Hak;Minn, Kyung Won
    • Archives of Plastic Surgery
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    • v.36 no.5
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    • pp.555-558
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    • 2009
  • Purpose: The high success rate of free flap transfers is well documented in previous literature, and is possible due to the early detection of vascular compromise and timely reoperation. We specifically analyzed the operative results of immediate and delayed reconstruction with free transverse rectus abdominis musculocutaneous(TRAM) flap respectively in order to reveal its distinctive features on timing and causes of vascular compromise. Methods: The senior author operated on 158 patients, 161 cases of free TRAM flap for breast reconstruction. 51 patients underwent delayed reconstruction, whilst immediate reconstruction was performed in the other 107 patients. All patients were monitored every 3 hours for the first 3 days. We reviewed medical records of all patients, and tested statistical significance with the Fisher's test. Results: Reoperation was performed in 20 cases, but the cases include hematoma with bleeding focus and arterial anastomosis site rupture due to abrupt arm abduction. We performed reoperation in 15 cases of suspicious vascular compromise. Flap compromise was noticed mostly within 24 hours, but not longer than 72 hours. Venous compromise was dominant by 11 cases (73.3%). There was difference in the timing of flap compromise between immediate and delayed reconstruction. All the cases of delayed reconstruction did not show signs of vascular compromise after 12 hours postoperatively. On the other hand, cases of vascular compromise were observed until 72 hours postoperatively in cases of immediate reconstruction. Conclusion: Delayed reconstruction showed vascular compromise within 12 hours postoperatively, while immediate reconstruction showed compromised until the 3rd postoperative day. If more aggressive monitoring is maintained during this period, we believe salvage of flaps may be increased with more efficiency.

A Study of Testing Embedded System Software Based on Failure Mechanisms (고장메커니즘 기반의 임베디드 시스템 SW 테스트 방법에 관한 연구)

  • Jeong, Si-Young;Jang, Joong-Soon;Lee, Sang-Yong
    • Journal of Applied Reliability
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    • v.7 no.4
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    • pp.137-148
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    • 2007
  • Rapid increase of embedded systems in electronic and mechanical control systems requires reliable and error-free embedded software. State-based testing methods like FSM are usually used to assure the reliability of embedded software. However, because of possibility of explosion of test cases, only partial test cases are considered in practical tests, which cannot guarantee that all the possible errors are investigated. This study proposes a test procedure based on failure mechanisms that may occur in embedded systems, which can not only assure that certain kinds of possible errors are detected but reduce the testing time. The proposed procedure is applied to vehicle air control system.

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A Novel Algorithm for Reducing Restoration Time in Smart Distribution Systems Utilizing Reclosing Dead Time

  • Hussain, Akhtar;Choi, Myeon-Song;Lee, Seung-Jae
    • Journal of Electrical Engineering and Technology
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    • v.9 no.6
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    • pp.1805-1811
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    • 2014
  • After an occurrence of a fault in any distribution system, it is desired to limit the effects of the fault to smallest possible area and restore the un-faulty areas as soon as possible. Due the advancements in communication technologies, this task can be achieved in multiple efficient ways. In order to decrease the restoration time in the Smart Grid Distribution Management System (SDMS) a communication based algorithm is proposed in this paper, in which the restoration can be done during reclosing. This paper also analyzes various communication failures with power failures cases including the entire network of communication failures. Results of all these cases have been verified by doing simulations.