• Title/Summary/Keyword: Schwartz

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Translation invariant and positive definite bilinear fourier hyperfunctions

  • Jaeyoung Chung;Chung, Soon-Yeong;Kim, Dohan
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.545-551
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    • 1996
  • It is well known in the theory of distributions and proved in [GS, S] that $$ (i) (Bochner-Schwartz) Every positive definite (tempered) distribution is the Fourier transform of a positive tempered measure \mu. $$ $$ (ii) (Schwartz kernel theorem) Let B(\varphi, \psi) be a bilinear distribution. Then for some u \in D'(R^n \times R^n) B(\varphi, \psi) = u(\varphi(x)\bar{\psi}(y)) for every \varphi, \psi \in C_c^\infty. $$ $$ (iii) A translation invariant positive definite bilinear distribution B(\varphi, \psi) is of the form B(\varphi, \psi) = \smallint \varphi(x)\psi(x) d\mu(x) for every \varphi, \psi \in C_c^\infty (R^n), where \mu is a positive tempered measure.

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ON A CLASS OF GENERALIZED LOGARITHMIC FUNCTIONAL EQUATIONS

  • Chung, Jae-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.325-332
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    • 2009
  • Reducing the generalized logarithmic functional equations to differential equations in the sense of Schwartz distributions, we find the locally integrable solutions of the equations.

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A Study on Values of Scientifically Gifted Students and the Relations among Values (과학영재학생의 가치 특성 및 가치유형 간 상호 관계성 분석)

  • Ju, Yeong-Hyeon;Choe, Ho-Seong
    • Journal of Gifted/Talented Education
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    • v.22 no.3
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    • pp.679-702
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    • 2012
  • Values can be regarded as an important factor which acts as an indicator showing each person's individual path of life. many researchers have suggested that values function as standards that guide thought and action. Values lead us to take particular positions on social issues and they predispose us to favor one perspective over another. Adolescence is an important period for the establishment of one's values. The values established during such a period become an important factor determining one's right personality and contents of life. In particular, it is important to take a study about the values possessed by gifted and talented children in Korea. There have been several researches regarding the cognitive and affective characteristics of gifted and talented learners in Korea. However, there has not been any research regarding their values in life. This study investigates the characteristics of values shown by 468 high-school students from two special schools for gifted students by using Schwartz's Value Survey Scale which is consisted of 57 value categories and 10 value types. According to the results of this study, the students from the special high-school for gifted children tend to promote such value types as 'autonomy' and 'stimulation' the most. Conversely, the same students tend to deny or ignore such value types as 'power' and 'tradition'. This study provides basic data regarding the values of gifted and talented students as the first research of its kind targeting gifted students in Korea. It has an important meaning for the research related to the characteristics shown by gifted students in Korea.

Personal Values and their Relationships with Public Library Use (개인의 가치관과 공공도서관 이용간의 관계성 분석)

  • Kwon, Nahyun
    • Journal of the Korean Society for Library and Information Science
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    • v.52 no.2
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    • pp.143-164
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    • 2018
  • The purpose of this study was to investigate the relationship between public library use and the individual's personal value system. The personal value system was measured by Schwartz's (1992) Theory of Basic Human Values. The theory includes ten universal values, which can be categorized into four higher-order values: namely, self-transcendence vs. self-enhancement; and openness to change vs. conservation. The data were collected on the web from 1,000 Korean adults who were 18 years old or above using a quota sampling method with respect to the distributions of gender, age, and geographic locations of the general Korean adult population. The collected data were analyzed using multi-dimensional scaling method, t-tests, and multiple correlations. The results showed that the public library is more likely to be used by the individuals who value "openness to change" (representing self-direction and stimulation), and "self-enhancement"(representing achievement, power, hedonism/sensuous pleasure) than those who value "conservation" (representing safety, stability of society, conformity to rules, tradition) and "self-transcendence" (representing interest in other's well-being, and tolerance, welfare of humanity and community). The findings suggest that public library uses reflect the characteristics of major library services, such as reading and self-learning, which are very autonomous and individualistic in their nature. The findings are valuable in understanding the nature of the functions performed by the current Korean public libraries that are reflected in the personal values of Korean adult library users.

The Preparation of Alkenyl Fluorides form Organometallic Reagents

  • 이승한;Martin Riediker;Jeffrey Schwartz
    • Bulletin of the Korean Chemical Society
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    • v.19 no.7
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    • pp.760-766
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    • 1998
  • Fluorination of alkenyllithium reagents can be accomplished in acceptable yield under conditions which give rise to low competitive alkene formation. These reactions are abetted by the use of the low temperature soluble, mild fluorinating agent N-fluoro-N-tert-butylbenzenesulfonamide; "simpler" fluorinating reagents such as F2, XeF2 or FClO3 failed to give acceptable amounts of the fluoroolefin with these alkenyllithiums.