• 제목/요약/키워드: $MAP_1$

검색결과 5,676건 처리시간 0.031초

DIGITAL (k0,k1)-COVERING MAP AND ITS PROPERTIES

  • HAN, SANG-EON
    • 호남수학학술지
    • /
    • 제26권1호
    • /
    • pp.107-117
    • /
    • 2004
  • The aim of this paper is to introduce a digital $({\kappa}_0,\;{\kappa}_1)$-covering map and a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism. And further, we show that a digital $({\kappa}_0,\;{\kappa}_1)$-covering map is a local $({\kappa}_0,\;{\kappa}_1)$-homeomorphism and the converse does not hold. Finally, some property of a digital covering map is investigated with relation to some restriction map. Furthermore, we raise an open problem with relation to the product covering map.

  • PDF

ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

  • Dursun, Ugur
    • 대한수학회보
    • /
    • 제52권1호
    • /
    • pp.301-312
    • /
    • 2015
  • In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-space $\mathbb{E}^4_1$ with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in $\mathbb{E}^4_1$.

THE LUSTERNIK-SCHNIRELMANN π1-CATEGORY FOR A MAP

  • Hur, Chang Kyu;Yoon, Yeon Soo
    • 충청수학회지
    • /
    • 제13권1호
    • /
    • pp.87-94
    • /
    • 2000
  • In this paper we shall de ne a concept of ${\pi}_1$-category for a map relative to a subset which is a generalization of both the category for a map and the ${\pi}_1$-category of a space, and study some properties of the ${\pi}_1$-category for a map relative to a subset.

  • PDF

사례분석을 통한 화산재해지도 구성요소 도출 및 활용 방안 (The Finding Factors and Application Plans of the Volcanic Disaster Maps through Case Studies)

  • 장은미;박경;김은경
    • 한국지역지리학회지
    • /
    • 제20권1호
    • /
    • pp.128-140
    • /
    • 2014
  • 이 논문은 화산재해지도가 갖는 특성을 규명하고, 국내외 화산재해지도의 사례조사를 통해 유형화하였다. 저자들은 해외의 화산재해지도의 구성요소를 도출하여 백두산을 대상으로 활용방안을 모색하는 것을 목적으로 하였다. 국외 화산재해지도에 대해 세 가지 유형(Hazard Map, Risk Map, Damage Map)의 재해지도 분석틀을 통해 검토하고, 화산재해지도의 구성요소를 도출하였다. 도출된 화산재해지도 구성요소는 1) 과거이력 누적 지도, 2) 확률론적 위험지도, 3) 시나리오 기반 지도이며, 이를 바탕으로 활용사례별(피난활용형, 방재정보형, 방재교육형) 화산재해지도의 구성요소를 제시하였다.

  • PDF

Effect of Modified Atmosphere Packaging Varying in CO2 and N2 Composition on Quality Characteristics of Dry Fermented Sausage during Refrigeration Storage

  • Ameer, Ammara;Seleshe, Semeneh;Kang, Suk Nam
    • 한국축산식품학회지
    • /
    • 제42권4호
    • /
    • pp.639-654
    • /
    • 2022
  • The current study investigated the effects of the most suitable modified atmosphere packaging (MAP) on the physicochemical, microbiological, and sensory properties of fermented dry sausages during 45 days of refrigeration (4℃) storage period. Treatments were vacuum-packed (control), 25% CO2/75% N2 (MAP1), 50% CO2/50% N2 (MAP2), 70% CO2/30% N2 (MAP3), and 100% CO2 (MAP4). All MAP samples regardless of their CO2 composition significantly (p<0.05) decreased in pH, aw, total plate count, and lactic acid bacteria count values as compared to the vacuum-package during storage. The Enterobacteriaceae count in all MAP packaging was significantly (p<0.05) lower than the vacuum-packed samples and counts in MAP3 and MAP4 samples were markedly (p<0.05) lower than all other treatments in prolonged storage of 15 and 45 days. Based on the thiobarbituric acid reactive substance content at day 15 and 30 storage time, treatments are ranked as follows: Vacuum-packed>MAP1>MAP2>MAP3>MAP4. The a* of MAP4 was higher than all other treatments. In the final storage days, no variation was exhibited (p>0.05) among treatments in lactic acid aroma and sourness, and MAP2 samples had the lowest (p<0.05) overall acceptability. The use of MAPs with an increase in the CO2 from MAP1 to MAP4 samples can help in better microbial inhibition than vacuum package, and 70% CO2/30% N2 (MAP3) and 100% CO2 (MAP4) were effective to maintain several quality parameters (aw, pH, microbial inhibition, stability against lipid oxidation, and instrumental color traits) and extend the shelf life of dry fermented sausage.

BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41

  • Aksoyak, Ferdag Kahraman;Yayli, Yusuf
    • 대한수학회보
    • /
    • 제51권6호
    • /
    • pp.1863-1874
    • /
    • 2014
  • In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space $\mathbb{E}^4_1$. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

과학수업에서 Thinking Maps의 효과적인 활용 방안 (Effective Educational Use of Thinking Maps in Science Instruction)

  • 박미진;이용섭
    • 대한지구과학교육학회지
    • /
    • 제3권1호
    • /
    • pp.47-54
    • /
    • 2010
  • The purpose of this study is finding examine the Thinking Maps and how to use Thinking Maps effectively in Science Education. The result of this study were as follows: First, There are 8 type Maps, Circle Map, Tree Maps, Bubble Map, Double Bubble Map, Flow Map, Multi Flow Map, Brace Map, Bridge Map. Each Maps are useful in the following activities ; Circle Map-Express their thoughts. Tree Map-Activities as like determine the structure, classification, information organization. Bubble Maps-Construction. Double Bubble Map-Comparison of similarities and differences. Flow Map-Set goals, determine the result of changes in time or place. Multi Flow Map-Analysis cause and effect, expectation and reasoning. Brace Map-Analysis whole and part. Bridge Map-Activities need analogies. Second, each element of inquiry has 1~2 appropriate type of Thinking Maps. So student can choose the desired map. Third, the result of analysing of Science Curriculum Subjects, depending on the subject variety maps can be used. Therefore the Thinking Maps can be used for a variety on activities and subject. And student can be selected according to their learning style. So Thinking Maps are effective to improve student's Self-Directed Learning.

  • PDF

SPHERICAL SUBMANIFOLDS WITH FINITE TYPE SPHERICAL GAUSS MAP

  • Chen, Bang-Yen;Lue, Huei-Shyong
    • 대한수학회지
    • /
    • 제44권2호
    • /
    • pp.407-442
    • /
    • 2007
  • The study of Euclidean submanifolds with finite type "classical" Gauss map was initiated by B.-Y. Chen and P. Piccinni in [11]. On the other hand, it was believed that for spherical sub manifolds the concept of spherical Gauss map is more relevant than the classical one (see [20]). Thus the purpose of this article is to initiate the study of spherical submanifolds with finite type spherical Gauss map. We obtain several fundamental results in this respect. In particular, spherical submanifolds with 1-type spherical Gauss map are classified. From which we conclude that all isoparametric hypersurfaces of $S^{n+1}$ have 1-type spherical Gauss map. Among others, we also prove that Veronese surface and equilateral minimal torus are the only minimal spherical surfaces with 2-type spherical Gauss map.

Assessment of Accuracy of IKONOS Image Map, Traditional Orthophoto Map and Conventional Line Map of Kathmandu Valley : A Pilot Study

  • Kayastha, D.M.;Chhatkuli, R.R.;Paudel, J.R.
    • 대한원격탐사학회:학술대회논문집
    • /
    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
    • /
    • pp.988-990
    • /
    • 2003
  • IKONOS image mapping is being considered a possible replacement to the traditional mapping in many countries due to their ease of access to current data and their potential high resolution. Survey Department of His Majesty's Government completed traditional orthophoto mapping of all urban and semi-urban areas of the country. The 1:5000 monochrome orthophoto maps of Kathmandu Valley were completed in 2003. In 2002, as a test, production of a near natural colour Image Map at 1:5000 scale of a part of Kathmandu Valley based on IKONOS data was carried out. A conventional line map plotting of the same area at 1:5000 was also prepared. The objective of the pilot project was to assess the geometric accuracy and the information content of these maps. The details of the study and their results are underlined. The findings of the study helps to explain whether IKONOS image map can replace conventional orthophoto map at 1:5,000 for urban areas of Nepal like Kathmandu.

  • PDF