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A New Pseudoinverse Matrix Method For Balancing Chemical Equations And Their Stability
Risteski, Ice B. Korean Chemical Society 2008 대한화학회지 Vol.52 No.3
이 논문에 화학반응식 균형을 맞추기 위한 새로운 유사 역행렬법이 기술되었다. 여기에 제공된 방법은 Moore-Penrose 유사 역행렬을 사용한 Diophantin 행렬식의 해에 기초를 둔다. 방법은 전형적인 여러 화학반응식에 시험적용되었고 폭넓은 균형연구에서 모든 반응식에 매우 성공적이었다. 이 방법은 아무 제한없이 성공적으로 적용되고, 또한 새로운 화학반응식의 타당성에 대한 검증력도 있고, 만일 새식이 타당하다면 화학식 균형을 이룰 것이다. 여기서 다루어진 화학반응식들은 소수산화수를 지닌 원자를 포함하고 있다. 또한, 화학반응식의 확장된 행렬의 안정성에 대한 화학반응식의 안정성의 필요충분조건을 이 연구에 소개하였다. this work is given a new pseudoniverse matrix method for balancing chemical equations. Here offered method is founded on virtue of the solution of a Diophantine matrix equation by using of a Moore-Penrose pseudoinverse matrix. The method has been tested on several typical chemical equations and found to be very successful for the all equations in our extensive balancing research. This method, which works successfully without any limitations, also has the capability to determine the feasibility of a new chemical reaction, and if it is feasible, then it will balance the equation. Chemical equations treated here possess atoms with fractional oxidation numbers. Also, in the present work are introduced necessary and sufficient criteria for stability of chemical equations over stability of their extended matrices.
A New Topology of Solutions of Chemical Equations
Risteski, Ice B. Korean Chemical Society 2013 대한화학회지 Vol.57 No.2
In this work is induced a new topology of solutions of chemical equations by virtue of point-set topology in an abstract stoichiometrical space. Subgenerators of this topology are the coefficients of chemical reaction. Complex chemical reactions, as those of direct reduction of hematite with a carbon, often exhibit distinct properties which can be interpreted as higher level mathematical structures. Here we used a mathematical model that exploits the stoichiometric structure, which can be seen as a topology too, to derive an algebraic picture of chemical equations. This abstract expression suggests exploring the chemical meaning of topological concept. Topological models at different levels of realism can be used to generate a large number of reaction modifications, with a particular aim to determine their general properties. The more abstract the theory is, the stronger the cognitive power is.
COMMUNICATION IN THE HEALTH AND PHYSICAL EDUCATION ORGANIZATIONS
Vacalis, T. Demetri,Ice, Janalee K.,Lee, Hee Soon 이화여자대학교 체육대학 1981 建美 Vol.- No.14
Health education is essentially an art of communicating a message with the ultimate objective being the changing of behavior or, at the very least, an understanding of the content of the message. Therefore, examining communication through an analytical perspective is a necessary skill for the health educator. It is the purpose of this paper, therefore, to examine the communication process in organization, and recognize major barriers to communication.