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A Study on the Vector Space by Taking the Tetra-cosine Rule (Tetra-cosine Rule 에 의한 Vector Space고찰)

  • 김건희;이수종;김홍건
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.389-394
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    • 1997
  • Consider a tetrhedron is composed of six dihedral angles .phi.(i=1,2..., 6), and a vertex of a tetrahedron is also three dihedral angles. It will assume that a vertex A, for an example, is composed of there angles definded such as .alpha..betha. and .gamma. !. then there is a corresponding angle can be given as .phi1.,.phi2.,.phi3.. Here, in order to differentiate between a conventional triangle and dihedral angle, if a dihedral angle degined in this paper is symbolized as .phi..LAMBDA.,the value of cos.theta.of .phi./sab a/, in a trigonometric function rule,can be defined to tecos.phi..LAMBD/sab A/., and it is defined as a tetradedral cosine .phi. or simply called a tecos.phi.. Moreover, in a simillar method, the dihedral angle of tetrahedron .phi..LAMBDA. is given as : value of sin .theta. can defind a tetra-sin.phi..LAMBDA., and value of tan .theta. of .phi..LAMBDA. is a tetra-tan .phi..LAMBDA. By induction it can derive that a tetrahedral geometry on the basis of suggesting a geometric tetrahedron

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The ($\textsc{k}, t_p$) Replacement Policy for the System subject to Two Types of Failure

  • Lee, Seong-Yoon
    • Journal of the military operations research society of Korea
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    • v.25 no.2
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    • pp.144-157
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    • 1999
  • In this paper, we consider a new preventive replacement policy for the system which deteriorates while it is in operation with an increasing failure rate. The system is subject to two types of failure. A type 1 failure is repairable while a type 2 failure is not repairable. In the new policy, a system is replaced at the age of $t_p$ or at the instant the$\textsc{k}^{th}$ type 1 failure occurs, whichever comes first. However, if a type 2 failure occurs before a preventive replacement is performed, a failure replacement should be made. We assume that a type 1 failure can be rectified with a minimal repair. We also assume that a replacement takes a non-negligible amount of time while a minimal repair takes a negligible amount of time. Under a cost structure which includes a preventive replacement cost, a failure replacement cost and a minimal repair cost, we develop a model to find the optimal ($\textsc{k},t_p$) policy which minimizes the expected cost per unit time in the long run while satisfying a system availability constraint.

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Design and Fabrication of a Fire-damper using a Micro-Controller (마이크로컨트롤러를 이용한 소방용 댐퍼의 설계 및 제작)

  • Hwang, In-Gab;Han, Jae-Gil
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.55 no.2
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    • pp.89-93
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    • 2006
  • Recently as a people recognize a safety more about a high and large buildings the importance of a fire-damper which supplies fresh air into the building in case of fire increases greatly. Therefore, in this paper a fire-damper using a micro-controller is designed and fabricated. In the design of fire-damper a pressure sensor is modeled as a capacitor and the p-spice is used as a circuit simulator PIC16F72 is used as a micro-controller to drive a pressure sensor and to display a pressure value from the pressure sensor and to drive a motor to open and close a damper. A photo-coupler is used to protect a motor from a overcurrent.

PREORDERINGS ON LOCAL GLOBAL RINGS

  • Shin, Kee-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.105-110
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    • 1995
  • Suppose A is a local global ring (with many units) and $T{\subset}A$ is a preordering. Let $a_i{\in}A^*$, $i=1,2,{\cdots},n$ and $a{\in}({\sum}_{i=1}^{l-1}\;a_iT){\cap}A^*$. Then, for any integer l, 1 < l ${\leq}$ n, there exist $x{\in}({\sum}_{i=1}^{l-1}\;a_iT){\cap}A^*$ and $y{\in}({\sum}_{i=l}^n\;a_iT){\cap}A^*$ such that a=x+y.

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Compliance control of a telerobot system using a neuro-fuzzy model (뉴로-퍼지 모델을 이용한 원격로보트의 컴플라이언스 제어)

  • 차동혁;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.805-810
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    • 1993
  • In this paper, we propose a compliance control scheme using a neurofuzzzy compliance model(NFCM). as a new control paradigm for telerobot systems. A NFCM, used as a compliance controller, is composed of a fuzzy compliance model(FCM), a neural network and a low pass filter. The NFCM is trained through a reinforcement learning algorithm, and then, can generate suitable compliant motion for a given task. A series of simulations have been performed to show applicability of the proposed algorithm send it is found that the NFCM can implement suitable compliant motion for a given task through the learning procedure.

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THE RELATIVE LUSTERNIK-SCHNIRELMANN CATEGORY OF A SUBSET IN A SPACE WITH RESPECT TO A MAP

  • Moon, Eun Ju;Hur, Chang Kyu;Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.11 no.1
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    • pp.1-12
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    • 1998
  • In this paper we shall define a relative Lusternik-Schnirelmann category of a subset in a space with respect to a map which generalizes the category of a space, the category of a map and the relative category of a subset in a space. We shall study some properties of the relative Lusternik-Schnirelmann category of a subset in a space with respect to a map and generalize many results of the above categories.

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ZPI Property In Amalgamated Duplication Ring

  • Hamed, Ahmed;Malek, Achraf
    • Kyungpook Mathematical Journal
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    • v.62 no.2
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    • pp.205-211
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    • 2022
  • Let A be a commutative ring. We say that A is a ZPI ring if every proper ideal of A is a finite product of prime ideals [5]. In this paper, we study when the amalgamated duplication of A along an ideal I, A ⋈ I to be a ZPI ring. We show that if I is an idempotent ideal of A, then A is a ZPI ring if and only if A ⋈ I is a ZPI ring.

GENERALIZED BROWDER, WEYL SPECTRA AND THE POLAROID PROPERTY UNDER COMPACT PERTURBATIONS

  • Duggal, Bhaggy P.;Kim, In Hyoun
    • Journal of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.281-302
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    • 2017
  • For a Banach space operator $A{\in}B(\mathcal{X})$, let ${\sigma}(A)$, ${\sigma}_a(A)$, ${\sigma}_w(A)$ and ${\sigma}_{aw}(A)$ denote, respectively, its spectrum, approximate point spectrum, Weyl spectrum and approximate Weyl spectrum. The operator A is polaroid (resp., left polaroid), if the points $iso{\sigma}(A)$ (resp., $iso{\sigma}_a(A)$) are poles (resp., left poles) of the resolvent of A. Perturbation by compact operators preserves neither SVEP, the single-valued extension property, nor the polaroid or left polaroid properties. Given an $A{\in}B(\mathcal{X})$, we prove that a sufficient condition for: (i) A+K to have SVEP on the complement of ${\sigma}_w(A)$ (resp., ${\sigma}_{aw}(A)$) for every compact operator $K{\in}B(\mathcal{X})$ is that ${\sigma}_w(A)$ (resp., ${\sigma}_{aw}(A)$) has no holes; (ii) A + K to be polaroid (resp., left polaroid) for every compact operator $K{\in}B(\mathcal{X})$ is that iso${\sigma}_w(A)$ = ∅ (resp., $iso{\sigma}_{aw}(A)$ = ∅). It is seen that these conditions are also necessary in the case in which the Banach space $\mathcal{X}$ is a Hilbert space.

Anatomy of a flare-producing current layer dynamically formed in a coronal magnetic structure

  • Magara, Tetsuya
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.2
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    • pp.41.3-42
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    • 2016
  • No matter how intense magnetic flux it contains, a coronal magnetic structure has little free magnetic energy when a composing magnetic field is close to a potential field, or current-free field where no volume electric current flows. What kind of electric current system is developed is therefore a key to evaluating the activity of a coronal magnetic structure. Since the corona is a highly conductive medium, a coronal electric current tends to survive without being dissipated, so the free magnetic energy provided by a coronal electric current is normally hard to release in the corona. This work aims at clarifying how a coronal electric current system is structurally developed into a system responsible for producing a flare. Toward this end, we perform diffusive MHD simulations for the emergence of a magnetic flux tube with different twist applied to it, and go through the process of structuring a coronal electric current in a twisted flux tube emerging to form a coronal magnetic structure. Interestingly, when a strongly twisted flux tube emerges, there spontaneously forms a structure inside the flux tube, where a coronal electric current changes flow pattern from field-aligned dominant to cross-field dominant. We demonstrate that this structure plays a key role in releasing free magnetic energy via rapid dissipation of a coronal electric current, thereby producing a flare.

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Definition of Scientific Hypothesis: A Generalization or a Causal Explanation?

  • Jeong, Jin-Su;Kwon, Yong-Ju
    • Journal of The Korean Association For Science Education
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    • v.26 no.5
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    • pp.637-645
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    • 2006
  • This study reviewed and discussed the nature of scientific hypothesis described in philosophy, the philosophy of science, science, and science education. In these descriptions, a hypothesis was defined as one of five types: hypothesis as an assumption, hypothesis as a prediction, hypothesis as a tentative explanation, hypothesis as a tentative law, and hypothesis as a tentative causal explanation. Most scholars agreed that a hypothesis is a proposition or a set of propositions proposed as an explanation for an observed situation. In this view, a hypothesis is a possible answer to or an explanation of a question that accounts for all the observed facts. Also, it is a statement that explains why things happen in nature or an explanation for an observation that can be tested. In the five types of hypothesis meanings, a tentative explanation includes a tentative law and a tentative causal explanation. However, tentative laws are not explanation but description which are general statements drawn from specific experiences by way of a process known as induction. A number of studies also have distinguished hypothesis from assumption, tentative explanation, tentative law, and prediction. Therefore, a hypothesis is concluded to be a proposition or a set of propositions proposed as a tentative causal explanation for an observed situation.