• Title/Summary/Keyword: generalized helix

Search Result 6, Processing Time 0.025 seconds

INTEGRAL CURVES CONNECTED WITH A FRAMED CURVE IN 3-SPACE

  • Mustafa Duldul;Zeynep Bulbul
    • Honam Mathematical Journal
    • /
    • v.45 no.1
    • /
    • pp.130-145
    • /
    • 2023
  • In this paper, we define some integral curves connected with a framed curve in Euclidean 3-space. These curves include framed generalized principal-direction curve, framed generalized binormal-direction curve, framed principal-donor curve and framed Darboux-direction curve. We obtain some relations between the framed curvatures of new defined framed curves and framed curvatures of given framed curve. By using the obtained relationships we give some characterizations for such curves. We also give methods for constructing framed helix and framed slant helix from planar curves.

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

  • Karakus, Siddika Ozkaldi;Ilarslan, Kazim;Yayli, Yusuf
    • Honam Mathematical Journal
    • /
    • v.36 no.1
    • /
    • pp.113-129
    • /
    • 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.

CURVE COUPLES AND SPACELIKE FRENET PLANES IN MINKOWSKI 3-SPACE

  • Ucum, Ali;Ilarslan, Kazim;Karakus, Siddika Ozkaldi
    • Honam Mathematical Journal
    • /
    • v.36 no.3
    • /
    • pp.475-492
    • /
    • 2014
  • In this study, we have investigated the possibility of whether any spacelike Frenet plane of a given space curve in Minkowski 3-space $\mathbb{E}_1^3$ also is any spacelike 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.

Generalized Method for Constructing Cutting Force Coefficients Database in End-milling (엔드밀링 가공에서 절삭력 계수 데이터베이스 구현을 위한 일반화된 방법론)

  • 안성호;고정훈;조동우
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.20 no.8
    • /
    • pp.39-46
    • /
    • 2003
  • Productivity and machining performance can be improved by cutting analysis including cutting force prediction, surface error prediction and machining stability evaluation. In order to perform cutting analysis, cutting force coefficients database have to be constructed. Since cutting force coefficients are dependent on cutting condition in the existing research, a large number of calibration tests are needed to obtain cutting force coefficients, which makes it difficult to build the cutting force coefficients database. This paper proposes a generalized method for constructing the cutting force coefficients database us ins cutting-condition-independent coefficients. The tool geometry and workpiece material were considered as important components for database construction. Cutting force coefficients were calculated and analyzed for various helix and rake angles as well as for several workpiece. Furthermore, the variation of cutting force coefficients according to tool wear was analyzed. Tool wear was found to affect tool geometry, which results in the change of cutting force coefficients.

DNAchip as a Tool for Clinical Diagnostics (진단의학 도구로서의 DNA칩)

  • 김철민;박희경
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2004.04a
    • /
    • pp.97-100
    • /
    • 2004
  • The identification of the DNA structure as a double-stranded helix consting of two nucleotide chain molecules was a milestone in modern molecular biology. The DNA chip technology is based on reverse hybridization that follows the principle of complementary binding of double-stranded DNA. DNA chip can be described as the deposition of defined nucleic acid sequences, probes, on a solid substrate to form a regular array of elements that are available for hybridization to complementary nucleic acids, targets. DNA chips based on cDNA clons, oligonucleotides and genomic clons have been developed for gene expression studies, genetic variation analysis and genomic changes associated with disease including cancers and genetic diseases. DNA chips for gene expression profiling can be used for functional analysis in human eel Is and animal models, disease-related gene studies, assessment of gene therapy, assessment of genetically modified food, and research for drug discovery. DNA chips for genetic variation detection can be used for the detection of mutations or chromosomal abnormalities in cnacers, drug resistances in cancer cells or pathogenic microbes, histocompatibility analysis for transplantation, individual identification for forensic medicine, and detection and discrimination of pathogenic microbes. The DNA chip will be generalized as a useful tool in clinical diagnostics in near future. Lab-on-a chip and informatics will facilitate the development of a variety of DNA chips for diagnostic purpose.

  • PDF

Role of CopA to Regulate repABC Gene Expression on the Transcriptional Level (전사 수준에서 repABC 유전자 발현을 조절하는 CopA 단백질의 역할)

  • Sam Woong Kim;Sang Wan Gal;Won-Jae Chi;Woo Young Bang;Tae Wan Kim;In Gyu Baek;Kyu Ho Bang
    • Journal of Life Science
    • /
    • v.34 no.2
    • /
    • pp.86-93
    • /
    • 2024
  • Since replication of plasmids must be strictly controlled, plasmids that generally perform rolling circle replication generally maintain a constant copy number by strictly controlling the replication initiator Rep at the transcriptional and translational levels. Plasmid pJB01 contains three orfs (copA, repB, repC or repABC) consisting of a single operon. From analysis of amino acid sequence, pJB01 CopA was homologous to the Cops, as a copy number control protein, of other plasmids. When compared with a CopG of pMV158, CopA seems to form the RHH (ribbon-helix-helix) known as a motif of generalized repressor of plasmids. The result of gel mobility shift assay (EMSA) revealed that the purified fusion CopA protein binds to the operator region of the repABC operon. To examine the functional role of CopA on transcriptional level, 3 point mutants were constructed in coding frame of copA such as CopA R16M, K26R and E50V. The repABC mRNA levels of CopA R16M, K26R and E50V mutants increased 1.84, 1.78 and 2.86 folds more than that of CopA wt, respectively. Furthermore, copy numbers owing to mutations in three copA genes also increased 1.86, 1.68 and 2.89 folds more than that of copA wt, respectively. These results suggest that CopA is the transcriptional repressor, and lowers the copy number of pJB01 by reducing repABC mRNA and then RepB, as a replication initiator.