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PARAMETRIC EQUATIONS OF SPECIAL CURVES LYING ON A REGULAR SURFACE IN EUCLIDEAN 3-SPACE

  • El Haimi, Abderrazzak;Chahdi, Amina Ouazzani
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.2
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    • pp.225-236
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    • 2021
  • In this paper, we determine position vector of a line of curvature of a regular surface which is relatively normal-slant helix, with respect to Darboux frame. Then, a vector differential equation is established by means Darboux formulas, in the case of the geodesic torsion is vanishes. In terms of solution, we determine the parametric representation of a line of curvature which is relatively normal-slant helix, with respect to standard frame in Euclidean 3-space. Thereafter, we apply this result to find the position vector of a line of curvature which is isophote curve.

TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E42

  • Aydin, Tuba Agirman;Ayazoglu, Rabil;Kocayigit, Huseyin
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.310-324
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    • 2022
  • In this paper, we define timelike curves in R42 and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R42, taking into account their curvatures. In addition, we study timelike slant helices, timelike B1-slant helices, timelike B2-slant helices in four dimensional semi-Euclidean space, R42. And then we obtain an approximate solution for the timelike B1 slant helix with Taylor matrix collocation method.

Successful mitral repair in dogs by mitral annuloplasty using Hegar dilator: two case reports

  • Lee, Won-Jong;Kim, Junyoung;Moon, Chang-Hwan;Eom, TaeHeum;Son, DongJu;Lee, Seungmin;Lee, Haebeom;Jeong, Seong-Mok;Kim, Dae-Hyun
    • Journal of Veterinary Science
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    • v.23 no.1
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    • pp.11.1-11.10
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    • 2022
  • Mitral regurgitation (MR) is the most common heart disease in small-breed dogs. Mitral repair, which comprise artificial chorda tendineae implantation and mitral annuloplasty, has become the mainstay of treatment in the veterinary field. We report on two small dogs who underwent mitral repair surgery for MR. A Hegar dilator was used during mitral annuloplasty for accurate and reproducible surgery. In both cases, mitral regurgitant flow almost disappeared after surgery, and clinical signs improved. The treatment regimen was terminated 3 months after the surgery. We concluded that using a Hegar dilator may facilitate mitral valve repair surgery.

Backbone assignment of human Hoxc9DBD

  • Ja-Shil Hyun;Sung Jean Park
    • Journal of the Korean Magnetic Resonance Society
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    • v.27 no.4
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    • pp.23-27
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    • 2023
  • Hoxc, or the Homeobox C cluster, is a group of genes that play a crucial role in embryonic development, particularly in patterning the body along the anterior-posterior axis. These genes encode transcription factors, which are proteins that bind to DNA and regulate the expression of other genes. Hoxc9 is specifically involved in the development of the skeletal system, nervous system, and adipose tissue. Hoxc9 overexpression has been linked to the development of various cancers such as leukemia and breast cancer. Here, we assigned the chemical shifts Hoxc9 DNA binding domain (DBD) using heteronuclear NMR techniques. The helical regions of Hoxc9 DBD correspond to the residues T200 - F213 (Helix I), T218 - L229 (Helix II), and T232 - K249 (Helix III). Our result would be helpful for studing the molecular interactions of the Hoxc9 DBD and other proteins.

Effect of Configuration of Shaft and Helix Plate on Bearing Capacity of Moderate-size Helical Pile : I. Test-bed Construction and Field Loading Test (중소구경 헬리컬 파일의 축과 원판의 형상이 지지력에 미치는 영향 평가 : I. 시험시공과 현장재하시험)

  • Lee, Jongwon;Lee, Dongseop;Kim, Hyung-Nam;Choi, Hangseok
    • Journal of the Korean Geosynthetics Society
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    • v.13 no.2
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    • pp.31-39
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    • 2014
  • The helical pile is a manufactured steel pile consisting of one or more helix-shaped bearing plates affixed to a central shaft. This pile is installed by rotating the shaft into the ground to support structural loads. The advantages of helical piles are no need for boring or grout process, and ability to install with relatively light devices. The bearing capacity of the helical pile is exerted by integrating the bearing capacity of each helix plate attached to the steel shaft. In this paper, to estimate the bearing capacity of moderate-size helical piles, 6 types of helical piles were constructed with different shaft diameter, plate configuration and the penetration depth. A series of field loading tests was performed to evaluate the effect of helical pile configuration on the bearing capacity of helical pile, constructed in two different shaft diameters (i.e. 73 mm and 114 mm). In the same way, the diameter of bearing plate was also changed from 400mm to 250mm with one or three plates. As well, the penetration depth was varied from 3m to 6m to analyze the relation between the penetration depth and the bearing capacity. As a result, not only the increase of the shaft diameter, but also the number or diameter of helix bearing plates enhances the bearing capacity. Especially the configuration of the helix plate is more critical than the shaft diameter.

A study on the changes of the posterior segments between before, after treatment and postretention period through maxillary expansion therapy (상악궁 확장술을 통한 치료전, 후 및 보정후 상악 구치부 변화에 관한 연구)

  • Park, Tae-Seo;Lee, Jin-Woo;Cha, Kyung-Suk
    • The korean journal of orthodontics
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    • v.27 no.1
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    • pp.55-63
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    • 1997
  • The purpose of thus study was to measure the changes of arch and dentition of maxillary posterior teeth before and after treatment and postretentios in patients treated with Quad-helix. Measurements and analysis were performed on study model with carlipers. Seventeen cases, eight boys and nine girls, were selected with average ages of 12.7 years. Mean retention period was 4 months, and mean wearing time was. 127 days. The result were as follows 1. The interpremolar widths and intermolar width were significantly increased in maxillary first piennolar and molar when compared between before and after treatment and postretention. The maxillary second premolar resulted in significant increase in interpremolar between after tretment and post retention. 2. The long axis of maxillary first premolar and first molar accompaning buccal tipping was significant increased before and after Tx and post retention. Significant increase of the lingual inclination of maxillary second premolar was obsered both in before and after Tx, and before Tx and post retention. 3. The distance between the height of tooth contour was significantly increased in the first and second premolar before and after Tx, and was significant increased in the first molar before and after Tx and post retention. 4. Intermolar width at the palatal groove was increased in before and after Tx. and post retention. The palatal depth was significant increased in before and after Tx. In conclusion expansion of maxillary dental arch showed no relapse and results were stable retention

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A NEW APPROACH FOR CHARACTERIZATION OF CURVE COUPLES IN EUCLIDEAN 3-SPACE

  • Karakus, Siddika Ozkaldi;Ilarslan, Kazim;Yayli, Yusuf
    • Honam Mathematical Journal
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    • v.36 no.1
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    • pp.113-129
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    • 2014
  • In this study, we have investigated the possibility of whether any Frenet plane of a given space curve in a 3-dimensional Euclidean space $\mathbb{E}_3$ also is any Frenet plane of another space curve in the same space. We have obtained some characterizations of a given space curve by considering nine possible case.

Prediction of Cutting Force in Down End Milling (엔드밀의 하향절삭시 절삭력 예측)

  • 이영문;이선호;태원익
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.907-911
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    • 2000
  • In this study, a modified model for prediction of cutting force components in down end milling process is presented. Using this cutting force components of 4-tooth endmills with various helix angles have been predicted. Predicted values of cutting force components are well coincide with the measured ones. As helix angle increases overlapping effects of the active cutting edges increase and as a result the amplitudes of cutting force components decrease.

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Prediction of Cutting Force in Up end Milling (엔드밀의 상향절삭시 절삭력 예측)

  • 이영문
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.3-7
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    • 2000
  • In this study, a modified model for prediction of cutting force components in up end milling process is presented. Using this cutting force components of 4-tooth endmils with various helix angles have been predicted. Predicted value of cutting force components are well coincide with the measured ones. As helix angle increases overlapping effects of the active cutting edges increase and as a result the amplitudes of cutting force components decrease and the specific cutting energy consumed also decreases

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