• Title/Summary/Keyword: complete

Search Result 14,722, Processing Time 0.037 seconds

COMPLETE PROLONGATION AND THE FROBENIUS INTEGRABILITY FOR OVERDETERMINED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

  • Cho, Jae-Seong;Han, Chong-Kyu
    • Journal of the Korean Mathematical Society
    • /
    • v.39 no.2
    • /
    • pp.237-252
    • /
    • 2002
  • We study the compatibility conditions and the existence of solutions or overdetermined PDE systems that admit complete prolongation. For a complete system of order k there exists a submanifold of the ($\kappa$-1)st jet space of unknown functions that is the largest possible set on which the initial conditions of ($\kappa$-1)st order may take values. There exists a unique solution for any initial condition that belongs to this set if and only if the complete system satisfies the compatibility conditions on the initial data set. We prove by applying the Frobenius theorem to a Pfaffian differential system associated with the complete prolongation.

Current status and future perspectives of CAD/CAM fabricated complete denture (임상가를 위한 특집 2 - CAD/CAM 기술을 이용한 총의치 제작의 현재와 전망)

  • Park, Chan-Jin
    • The Journal of the Korean dental association
    • /
    • v.52 no.6
    • /
    • pp.346-353
    • /
    • 2014
  • Currently, computer-aided technology becomes one of main issues in clinical dentistry. About 25 years ago, the development of dental CAD/CAM systems for the fabrication of crowns and fixed partial dentures leads to be able to fabricate complete denture today. The fabrication of milled complete denture prostheses with digital scanning technology may decrease the number of patient appointments. However, the precise tooth arrangement and evaluation by patient is not promising relatively. The purpose of this review was to analyze the existing literature on computer aided technology for fabricating complete denture with historical background, current status, and future perspectives. In addition, two available commercial systems were introduced.

Clinico-biochemical Study on Experimental Partial and Complete Obstruction of the Common Bile Duct in Korean Goats (한국염소에서 실험적 총담관부분 및 완전폐쇄에 따른 임상생화학적 연구)

  • Yoo Ra-Gyeong;Cheong Jong-Tae;Nam Tchi-Chou
    • Journal of Veterinary Clinics
    • /
    • v.8 no.1
    • /
    • pp.71-80
    • /
    • 1991
  • Clinical signs, serum chemical values and histological findings of hepatic tissue after partial and complete obstruction of common bile duct in Korean goats were investigated. Abnormal clinical signs were not observed in partial obstruction of common bile duct, but in complete obstruction clinical signs such as jaundice, urine color change, were observed. Serum total bilirubin, total cholesterol, aspartate aminotransferase, sorbitol dehydrogenase, gamma glutamyltranspeptidase, and total protein values increased on the 1-4th day and then gradually decreased to normal level in partial obstruction. However, they tend to increase persistently by the 24th day in complete obstruction of common bileduct. Histologic features of hepatic tissue in partial obstruction were not changed as compared with normal hepatic tissue. On the other hand, in complete obstruction of common bite duct there were moderate bile duct proliferation in a portal area, rupture of bile canaliculi, phagocytosis of bile pigment by Kupffer cells, periportal fibrosis, intrahepatic bile stasis and hepatic cell necrosis.

  • PDF

Repair of Complete Cleft Lip Using Extended Mohler Repair (완전 구순열에서 확장 Mohler법의 적용)

  • Park, Young-Wook
    • Maxillofacial Plastic and Reconstructive Surgery
    • /
    • v.34 no.3
    • /
    • pp.200-204
    • /
    • 2012
  • In the repair of unilateral complete cleft lip, the most popular method is the rotation-advancement by Millard. Despite advantages of Millard repair, a few pitfalls exist. Above all, some of the scars, at the height of the cleft side philtral ridge, cross the Langer's line. Further, in the repair of complete cleft lip, small triangular lateral lip flap is often added in the base of an advancement flap to level the Cupid's bow. Moreover, preservation of the advancement flap has some negative effects on a primary nasal repair. As a result, the shape of philtrum is somewhat unnatural. Therefore, I applied the extended Mohler repair in the six cases of complete wide cleft lip to get a more esthetic scar. As a result, more natural, straight philtral ridge was obtained, without adding small triangular flap in the base of the advancement flap.

Unusual Isolated Complete Tear of Subscapularis and Biceps Long Head Tendon Associated with Heterotopic Ossification

  • Sohn, Hoon-Sang;Baek, Duck In;Shon, Min Soo
    • Clinics in Shoulder and Elbow
    • /
    • v.17 no.3
    • /
    • pp.127-133
    • /
    • 2014
  • Heterotopic ossification (HO) within the substance of the subscapularis tendon is a rare lesion which remains a poorly described condition with little known of the exact mechanisms involved. Furthermore, its clinical importance remains still unclear. To our knowledge, there are no studies present to data regarding HO within the substance of the subscapularis tendon, even with resultant isolated complete tear of the subscapularis tendon. Here we present a case of huge HO associated with unusual isolated complete tear of subscapularis tendon concomitant with tear of biceps long head tendon. After arthroscopic debridement for the complete tear site of biceps long head tendon, mini-open excision of the ossification and subscapularis repair with suture anchor fixation were performed. The patient showed complete recovery of strength and function of the subscapularis at subsequent 24 months follow up.

SIGNED A-POLYNOMIALS OF GRAPHS AND POINCARÉ POLYNOMIALS OF REAL TORIC MANIFOLDS

  • Seo, Seunghyun;Shin, Heesung
    • Bulletin of the Korean Mathematical Society
    • /
    • v.52 no.2
    • /
    • pp.467-481
    • /
    • 2015
  • Choi and Park introduced an invariant of a finite simple graph, called signed a-number, arising from computing certain topological invariants of some specific kinds of real toric manifolds. They also found the signed a-numbers of path graphs, cycle graphs, complete graphs, and star graphs. We introduce a signed a-polynomial which is a generalization of the signed a-number and gives a-, b-, and c-numbers. The signed a-polynomial of a graph G is related to the $Poincar\acute{e}$ polynomial $P_{M(G)}(z)$, which is the generating function for the Betti numbers of the real toric manifold M(G). We give the generating functions for the signed a-polynomials of not only path graphs, cycle graphs, complete graphs, and star graphs, but also complete bipartite graphs and complete multipartite graphs. As a consequence, we find the Euler characteristic number and the Betti numbers of the real toric manifold M(G) for complete multipartite graphs G.

NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX

  • Kang, Oh-Jin;Kim, Joohyung
    • Korean Journal of Mathematics
    • /
    • v.20 no.2
    • /
    • pp.161-176
    • /
    • 2012
  • The authors [6] introduced the concept of a complete matrix of grade $g$ > 3 to describe a structure theorem for complete intersections of grade $g$ > 3. We show that a complete matrix can be used to construct the Eagon-Northcott complex [7]. Moreover, we prove that it is the minimal free resolution $\mathbb{F}$ of a class of determinantal ideals of $n{\times}(n+2)$ matrices $X=(x_{ij})$ such that entries of each row of $X=(x_{ij})$ form a regular sequence and the second differential map of $\mathbb{F}$ is a matrix $f$ defined by the complete matrices of grade $n+2$.