• Nonlinear Functional Analysis and Applications
• /
• v.27 no.2
• /
• pp.223-232
• /
• 2022

The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.

• Journal of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.335-351
• /
• 2005

This paper concerns the relation between the degree and the projective dimension of linear systems on curves. We generalize Clifford's theorem and its improvement by Coppens and G. Martens and classify the special curves for our problem, and estimate their gonality.

• Korean Journal of Logic
• /
• v.22 no.2
• /
• pp.253-290
• /
• 2019

Wittgenstein presents so-called picture theory in the Tractatus Logico-Philosophicus. What is, then, the point of the picture theory? What are the philosophical problems which the picture theory tries to solve? In this paper, I will endeavor to show that the object of a picture is different from the sense of a picture, that the representing relation is different from the projective relation, that picture theory is applied to composite propositions as well as elementary propositions and that on the one hand the basic problems that picture theory tries to solve are problem of theory of meaning and that of theory of truth, but on the other hand the more important problem is what Wittgenstein calls "the mystery of negation." From these discussions, we can see that it is not correct at all to interpret that the picture theory in the Tractatus Logico-Philosophicus is nothing but an analogy which does not have a significant content.

• Korean Journal of Mathematics
• /
• v.22 no.2
• /
• pp.325-337
• /
• 2014

In 1911 Schur[6] derived degree and character formulas for projective representations of the symmetric groups remarkably similar to the corresponding formulas for ordinary representations. Morris[3] derived a recurrence for evaluation of spin characters and Stembridge[8] gave a combinatorial reformulation for Morris' recurrence. In this paper we give combinatorial interpretations for the orthogonality relations of spin characters based on Stembridge's combinatorial reformulation for Morris' rule.

• Bulletin of the Korean Mathematical Society
• /
• v.54 no.5
• /
• pp.1677-1697
• /
• 2017

The purpose of this paper is to investigate the close relation between Okounkov bodies and Zariski decompositions of pseudoeffective divisors on smooth projective surfaces. Firstly, we completely determine the limiting Okounkov bodies on such surfaces, and give applications to Nakayama constants and Seshadri constants. Secondly, we study how the shapes of Okounkov bodies change as we vary the divisors in the big cone.

• Kyungpook Mathematical Journal
• /
• v.53 no.1
• /
• pp.37-47
• /
• 2013

Let M and X be right R-modules. We introduce several modules relative to the class of B(M, X) and we investigate relation among these modules. In this note, we show if M is X-${\oplus}$-supplemented such that $M=M_1{\oplus}M_2$ implies $M_1$ and $M_2$ are relatively B-projective, then M is an X-H-supplemented module.

• Korean Journal of Computational Design and Engineering
• /
• v.9 no.4
• /
• pp.397-405
• /
• 2004

Texture mapping is the process of covering 3D models with texture images in order to increase the visual realism of the models. For proper mapping the coordinates of texture images need to coincide with those of the 3D models. When projective images from the camera are used as texture images, the texture image coordinates are defined by a camera calibration method. The texture image coordinates are determined by the relation between the coordinate systems of the camera image and the 3D object. With the projective camera images, the distortion effect caused by the camera lenses should be compensated in order to get accurate texture coordinates. The distortion effect problem has been dealt with iterative methods, where the camera calibration coefficients are computed first without considering the distortion effect and then modified properly. The methods not only cause to change the position of the camera perspective line in the image plane, but also require more control points. In this paper, a new iterative method is suggested for reducing the error by fixing the principal points in the image plane. The method considers the image distortion effect independently and fixes the values of correction coefficients, with which the distortion coefficients can be computed with fewer control points. It is shown that the camera distortion effects are compensated with fewer numbers of control points than the previous methods and the projective texture mapping results in more realistic image.

• Journal of the Korean Society of Fashion and Beauty
• /
• v.4 no.1 s.7
• /
• pp.28-34
• /
• 2006

The purpose of this study is to historically examine the thoughts and ideas of geometry and to analyze the expression style of design applied to the mass communication such as magazines and world wide webs, by giving definitions on the ideas of geometry and the pattern of cognition. Geometry was evolved to Descartes's analytical geometry, projective geometry, non-Euclidean geometry and Topology at the end of 19th century. When geometry applies to design styles, it is devided into two field, plane geometry and solid geometry. The development of geometry was completed from the Pythagoras symbolic theory of number to Platonic spiritual geometry and Euclidean geometry. It can be studied that those have what kind of symbolic meanings and transformations on each hair design plan. It can also analized how those symbolic forms are appeared on the design form. This tendency means that there is always a try for the use of geometry as reasonable device for hair design. If the hair design and geometry have logical and artistical relation, we can make buildings which have a order, balance and harmony.

• Journal of the Architectural Institute of Korea Planning & Design
• /
• v.34 no.11
• /
• pp.125-134
• /
• 2018

This study examines Dalibor Vesely's theoretical proposition of communicative space and tries to develop it through a review of the contemporary architectural case. Vesely poses a critical question about communication: how do the situational conditions of our everyday life and the spatial characteristics of the natural world in which we live communicate through representation. He emphasizes the spatial and situational conditions and the role of representation in communication, arguing that architecture should create the formation of communicative space to restore its primary role as the corporeal foundation of culture. This study thus focuses on one of the critical concepts of his theory: "the communicative movement," which is, according to him, ontological and situational because it animates and transforms human circumstances as a whole. Further, it pursues some practical knowledge of creating the communicative space, by examining the design theory and practice of Zaha Hadid, who thematizes communication and movement in her architectural approach. This study analyses the different levels of representation and modes of movement in her architectural space to reveal the possibilities and limits of its communicative roles. We will find that the representation of Hadid's architectural space is not the formal representation of reality, but a mathematical and projective representation of abstract concepts. Despite its apparent aesthetic consistency, the inward and self-referential relation between the individual elements of the architectural space reveals its limit for the communicative space.

• The Korean Journal of Elementary Counseling
• /
• v.6 no.1
• /
• pp.217-245
• /
• 2007

This research work was aimed at assisting isolated children to adapt their school life having examined the process of their changes by reducing isolation level and isolative behavior through means of implementing group art therapy program. To accomplish this purpose of research, 36 participants were selected from children attending Class 6, 4th Grade of D Elementary School located in Dajeon Metropolitan City, to which researcher was served as homeroom teacher. And the participants were asked to complete a survey that included social and emotional isolation scale test which was designed by Heh Sung-hee(1993) and 4 children marked more than 96 points were designated as isolated children. The group art therapy program exercised in this research was the one that reorganized by research to suit the research purpose based on the precedent works, and survey was conducted total 12 times, two time a week, within 60 minutes per time, between 6 September and 24 October 2006, and researcher conducted group art therapy program directly at Class 6, 4th Grade of D Elementary School using extra hours after school. And following analyses were performed in relation to results therefrom: First, to analyze changes of isolation level of isolated children Quantitatively, the results from pre and post test concerning social and emotional isolation scale were comparatively analyzed. Second, to analyze changes of psychological state of isolated children, projective drawing tests were performed using Kinetic House-Tree-Person(K-HTP) Drawing and Kinetic School Drawing(KSD) and results therefrom were comparatively analyzed. Third, to analyze Quantitatively what changes have been occurred in the isolated children during the course of forming interrelationships with group members while participating in group art therapy, proceedings were summarized per each stage of the program and analyzed accordingly. Fourth, results from researcher's observation of what changes have been occurred in the isolative behavior of isolated children before and after implementation of group art therapy were compared accordingly. Followings are resulting conclusions. First, group art therapy program reduced isolation level of isolated children. Second, group art therapy program changed the isolated children's psychological state into a stable and positive fashion. Third, isolated children became able to experience positive interrelations as well as establishment of new human relationships with group members during the course of participating in the group art therapy program. Fourth, group art therapy program reduced isolative behaviors of the isolated children. Therefore, conclusions could have been reached that the group art therapy program implemented in this research reduced isolative behaviors of the isolated children, and changed their anxious and depressed mental state into stable and positive ones, also established positive interrelationships as well as new human relationships. And, it will be able to expect a greater effect if a program which has been associated with their family could be proceeded along with continuous guidance and teaching having developed objective test tools that will discern isolated children.