• 제목/요약/키워드: one-to-one correspondence

검색결과 317건 처리시간 0.022초

ON SUB-KAC ALGEBRAS AND SUBGROUPS

  • Lee, Jung-Rye
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제6권1호
    • /
    • pp.1-8
    • /
    • 1999
  • Let $K_{\alpha}(G)$ (resp. $K_s(G)$) be the abelian (resp. symmetric) Kac algebra for a locally compact group G. We show that there exists a one-to-one correspondence between the subgroups of G and the sub-Kac algebras of $K_{\alpha}(G)$ (resp. $K_s(G)$). Moreover we obtain similar correspondences between the subgroups of G and the reduced Kac algebras of $K_{\alpha}(G)$ (resp. $K_s(G)$).

  • PDF

Smooth Ideals

  • Ramadan, A.A.;Kim, Y.C.;EI-Gayyar, M.K.
    • 한국지능시스템학회논문지
    • /
    • 제12권1호
    • /
    • pp.90-95
    • /
    • 2002
  • In this paper, we show that there exists a one-to-one correspondence between the collection of generalized ideals on a set and the collection of smooth ideals on a set. We study some properties of the images and preimages of smooth ideals. Smooth ideals, Generalized ideals, Images and preimages of smooth ideals.

PSEUDO - COMPLEMENTATION ON GENERALIZED ALMOST DISTRIBUTIVE FUZZY LATTICES

  • Wondifraw, Yohannes Gedamu
    • Korean Journal of Mathematics
    • /
    • 제30권1호
    • /
    • pp.11-23
    • /
    • 2022
  • In this paper, the concept of pseudo - complementation on a generalized almost distributive fuzzy lattices (GADFLs) is introduced as a fuzzification of the crisp concept pseudo - complementation on a generalized almost distributive lattices. It is also established a one - to - one correspondence between the pseudo - complemented GADFL (R, A), R with 0 and the left identity element of R.

C12-SPACE FORMS

  • Gherici Beldjilali;Nour Oubbiche
    • 대한수학회논문집
    • /
    • 제38권2호
    • /
    • pp.629-641
    • /
    • 2023
  • The aim of this paper is two-fold. First, we study the Chinea-Gonzalez class C12 of almost contact metric manifolds and we discuss some fundamental properties. We show there is a one-to-one correspondence between C12 and Kählerian structures. Secondly, we give some basic results for Riemannian curvature tensor of C12-manifolds and then establish equivalent relations among 𝜑-sectional curvature. Concrete examples are given.

단일 투사 절대 코드 패턴을 이용한 3차원 얼굴 데이터의 유클리디안 복원 (A Euclidean Reconstruction of 3D Face Data Using a One-Shot Absolutely Coded Pattern)

  • 김병우;유선진;이상윤
    • 대한전자공학회논문지SP
    • /
    • 제42권6호
    • /
    • pp.133-140
    • /
    • 2005
  • 본 논문에서는 3차원 얼굴 인식기에서의 입력 데이터로 적합한 얼굴 데이터의 유클리디안 복원 시스템을 제안한다. 카메라 영상을 통한 유클리디안 복원을 위해서는 카메라의 보정정보와 복원할 특징 점의 대응 쌍 정보가 필요한데, 보정정보는 시스템의 변경이 없다면 불변한다. 따라서 고속의 유클리디안 복원을 위해서는 스테레오 영상간의 대응 쌍 정보 획득이 가장 중요하다. 시스템은 두 개의 카메라와 프로젝터 한 대로 구성하며, 피사체에 패턴을 투사하고 두 개의 카메라로부터 영상을 획득함으로써 동작한다. 사용 패턴은 단일 투사 줄무늬 패턴을 사용하며 줄무늬의 색도 정보와 채도 정보를 이용하여 '절대 코드 패턴'을 생성한다. 사용 시스템은 두 개의 카메라를 사용하기 때문에 색도 정보와 채도 정보가 비슷한 두 개의 영상을 얻을 수 있으며 이것은 획득한 두 개의 영상에 있는 줄무늬들에 대해 동일한 절대 라벨을 얻을 수 있게 한다. 절대 라벨링 된 줄무늬는 에피폴라 라인(epipolar line)상의 점들과 일대일 정합을 통해 고속의 3차원 데이터 복원을 가능하게 한다. 제안 방식은 얼굴 데이터에 적용되었으며 정확도와 총 소요 시간의 측정을 통해 제안 방식이 기존 방식에 비해 정확도 면에서 뒤지지 않으면서도 복원 속도 면에서 장점을 가짐을 확인할 수 있었다.

ENERGY FINITE p-HARMONIC FUNCTIONS ON GRAPHS AND ROUGH ISOMETRIES

  • Kim, Seok-Woo;Lee, Yong-Hah
    • 대한수학회논문집
    • /
    • 제22권2호
    • /
    • pp.277-287
    • /
    • 2007
  • We prove that if a graph G of bounded degree has finitely many p-hyperbolic ends($1) in which every bounded energy finite p-harmonic function is asymptotically constant for almost every path, then the set $\mathcal{HBD}_p(G)$ of all bounded energy finite p-harmonic functions on G is in one to one corresponding to $\mathbf{R}^l$, where $l$ is the number of p-hyperbolic ends of G. Furthermore, we prove that if a graph G' is roughly isometric to G, then $\mathcal{HBD}_p(G')$ is also in an one to one correspondence with $\mathbf{R}^l$.

Dynamism Competent LEACH Replication Deliberate for Wireless Sensor Network

  • KONDA HARI KRISHNA;TAPSI NAGPAL;Y. SURESH BABU
    • International Journal of Computer Science & Network Security
    • /
    • 제23권5호
    • /
    • pp.7-12
    • /
    • 2023
  • Remote sensor systems are utilized in a few applications, including military, restorative, ecological and family unit. In every one of these applications, vitality use is the deciding component in the execution of wireless sensor systems. Thusly, strategies for information steering and exchanging to the base station are critical in light of the fact that the sensor hubs keep running on battery control and the vitality accessible for sensors is constrained. There are two explanations for the various leveled directing Low Energy Adaptive Clustering Hierarchy convention be in investigated. One, the sensor systems are thick and a considerable measure of excess is engaged with correspondence. Second, with a specific end goal to build the versatility of the sensor arrange remembering the security parts of correspondence. In this exploration paper usage of LEACH steering convention utilizing NS2 test system lastly upgraded vitality productive EE-LEACH directing convention guarantees that the chose cluster heads will be consistently conveyed over the system with a specific end goal to enhance the execution of the LEACH convention. EE-LEACH enhances vitality utilization by around 43%.

천인상응(天人相應)의 관점에서 바라본 "황제내경(黃帝內經)"의 인체관 연구 (Study on the Perception of the Human Body in "Huangdineijing" Viewed from the Perspective of the Correspondence between Nature and Human)

  • 임채광
    • 동의생리병리학회지
    • /
    • 제26권6호
    • /
    • pp.855-863
    • /
    • 2012
  • The organic and holistic recognition method about nature in east asian philosophy is also applied to the study of the human body in Korean medicine. In Korean medicine, the human body is being understood from a holistic point of view rather than a mechanical or reductive one. The main east asian philosophies are the heavens thought and the Yin-yang/Five Phase Theory. This study will explore the influence the general flow of heavens thought has on explaining the human body in Korean medicine and the formation of how the human body is perceived in "Huangdineijing"(黃帝內經). First, the primitive meaning of heaven was developed to include the natural heaven of Xia (夏), the lord heaven of Shang(商) and the moral heaven of Zhou(周) dynasties. Among these, the natural heaven notion of the Xia(夏) dynasty which recognized heaven as the one with the power to create everything. This was followed by Taoism which established the contrasting system of heaven and earth. Based on this, "Huangdineijing"(黃帝 內經) developed the perception of the human body, taking into account, heaven as the original substance to generate the human body through the mutual sympathy between heavenly energy and earthly form. The perspective of the correspondence between nature and human in "Huainantzu"(淮南子) and "L$\breve{u}$shichunqiu"(呂氏春秋) was succeeded by Tung Chung-Shu(董仲舒). Based on this development, the perception of the human body in "Huangdineijing"(黃帝內經) is related to the seasonal cycle and the notion of night and day to balance the physiology of the human body. It recognizes that its structure, shape, emotional state and physiological actions are correlated with heaven.

"황제내경(黃帝內經)"의 의물사상(宜物思想) 연구(硏究) (A Study on 'Idea of Uimul' (宜物思想) in "Hwangjenaikyung(黃帝內經)")

  • 박철;김수중;정창현
    • 대한한의학원전학회지
    • /
    • 제21권2호
    • /
    • pp.113-124
    • /
    • 2008
  • The main characteristic of 'Idea of Uimul(宜物思想)' lies in specifically laying down rules on the subject of thought, and creating correlated measures and ways based on those grounds. Thus, 'Ui(宜)' emphasizes the pertinence of the measures and ways. By making a detailed analysis, the importance of 'Mul(物)', the subject of thought, the perception of it, the human reaction to it, and the specific principle of the action, can be seen. Ancient Chinese considered Heaven and Earth the largest frame of perception, and perceived all things through it. Heaven and Earth was differentiated from 'Gi'(氣), and the Gi of Heaven and the Gi of Earth interacted with one another in endless motion. "Hwangjenaegyeong(黃帝內經)" considered nature and all things in it through this ideology of 'Correspondence between Heaven and Humanity(天人相應)'. It considered humans to be born from the Gi of Heaven and Earth and to associate with one another under the influence of the Gi of Heaven and Earth. Therefore, in "Hwangjenaegyeong(黃帝內經)", the ideology of 'Correspondence between Heaven and Humanity(天人相應)' is the fundamental frame of Idea of Uimul(宜物思想). On the other hand, the Ui(宜) in Idea of Uimul(宜物思想) indicates the pertinent measures and ways towards a subject, that is, humans acting appropriately according to the laws of Heaven and Earth inside the ideology of 'Correspondence between Heaven and Humanity(天人相應)'. Humans are affected by nature and adapt to it, but they also recognize the laws of nature and strive to wholly protect the human life by versatilely taking adequate measures against the numerous changes of nature.

  • PDF

On the Numbers of Palindromes

  • Bang, Sejeong;Feng, Yan-Quan;Lee, Jaeun
    • Kyungpook Mathematical Journal
    • /
    • 제56권2호
    • /
    • pp.349-355
    • /
    • 2016
  • For any integer $n{\geq}2$, each palindrome of n induces a circulant graph of order n. It is known that for each integer $n{\geq}2$, there is a one-to-one correspondence between the set of (resp. aperiodic) palindromes of n and the set of (resp. connected) circulant graphs of order n (cf. [2]). This bijection gives a one-to-one correspondence of the palindromes ${\sigma}$ with $gcd({\sigma})=1$ to the connected circulant graphs. It was also shown that the number of palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ is the same number of aperiodic palindromes of n. Let $a_n$ (resp. $b_n$) be the number of aperiodic palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ (resp. $gcd({\sigma}){\neq}1$). Let $c_n$ (resp. $d_n$) be the number of periodic palindromes ${\sigma}$ of n with $gcd({\sigma})=1$ (resp. $gcd({\sigma}){\neq}1$). In this paper, we calculate the numbers $a_n$, $b_n$, $c_n$, $d_n$ in two ways. In Theorem 2.3, we $n_d$ recurrence relations for $a_n$, $b_n$, $c_n$, $d_n$ in terms of $a_d$ for $d{\mid}n$ and $d{\neq}n$. Afterwards, we nd formulae for $a_n$, $b_n$, $c_n$, $d_n$ explicitly in Theorem 2.5.