• Title/Summary/Keyword: dichotomies

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CHARACTERIZATION OF TEMPERED EXPONENTIAL DICHOTOMIES

  • Barreira, Luis;Rijo, Joao;Valls, Claudia
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.171-194
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    • 2020
  • For a nonautonomous dynamics defined by a sequence of bounded linear operators on a Banach space, we give a characterization of the existence of an exponential dichotomy with respect to a sequence of norms in terms of the invertibility of a certain linear operator between general admissible spaces. This notion of an exponential dichotomy contains as very special cases the notions of uniform, nonuniform and tempered exponential dichotomies. As applications, we detail the consequences of our results for the class of tempered exponential dichotomies, which are ubiquitous in the context of ergodic theory, and we show that the notion of an exponential dichotomy under sufficiently small parameterized perturbations persists and that their stable and unstable spaces are as regular as the perturbation.

PARAMETER DEPENDENCE OF SMOOTH STABLE MANIFOLDS

  • Barreira, Luis;Valls, Claudia
    • Journal of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.825-855
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    • 2019
  • We establish the existence of $C^1$ stable invariant manifolds for differential equations $u^{\prime}=A(t)u+f(t,u,{\lambda})$ obtained from sufficiently small $C^1$ perturbations of a nonuniform exponential dichotomy. Since any linear equation with nonzero Lyapunov exponents has a nonuniform exponential dichotomy, this is a very general assumption. We also establish the $C^1$ dependence of the stable manifolds on the parameter ${\lambda}$. We emphasize that our results are optimal, in the sense that the invariant manifolds are as regular as the vector field. We use the fiber contraction principle to establish the smoothness of the invariant manifolds. In addition, we can also consider linear perturbations, and thus our results can be readily applied to the robustness problem of nonuniform exponential dichotomies.

Beyond Factual Knowledge and Symbolic Competence: Interculturality as Transcultural Intersubjectivity

  • Omengele, Theophile Ambadiang
    • Cross-Cultural Studies
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    • v.20
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    • pp.295-321
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    • 2010
  • The trend of globalization has sharpened the debate on interculturality, which scholars examine from different and often conflicting points of view ('content' vs. 'practice', 'culture-specific' vs. 'universal', 'communication (meta)theory' vs. 'communication practice', 'individual' vs. 'collective', etc.). Whereas all these approaches are necessary to describe the multiple dimensions of interculturality, their dichotomous nature does not help to account for its internal complexity, which cannot be dissociated from the connections that exist among all these dimensions. The difficulty posed by the essentialist interpretations that tend to result from these dichotomies is compounded by the fact that in postmodern debates priority has been given to approaches that emphasize individual or collective agency over structural constraints which have to do with political economy or with cultural and linguistic codes and traditions. This paper aims mainly at suggesting that the dissolution of the boundaries that exist between these approaches should be pursued in order to get a fuller and richer approach to their common object of study. After discussing, by way of illustration, content-based and practice-based perspectives, we suggest that one way of getting beyond these dichotomies consists in focusing on the 'interactional' dimension of interculturality, which means laying emphasis on intersubjectivity and, particularly, on the individual subjects considered as members of different cultural communities who strive to transcend their sociocultural boundaries in order to reach harmonious interactions in a world in which inequality and the de-territorialization of people and cultures are central features.

Thoughts on'dogu' Aesthetics (부통도구조식론 (1) 조선시대 여성과 여성신변신구에 나타난 미적 가치탐구를 중심으로)

  • 조재경
    • Archives of design research
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    • v.11 no.1
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    • pp.259-268
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    • 1998
  • Ideals of beauty has expressed variously through the centuries and in different cultures. Each traditional 'togu' has it's own morphology (in the meaning of nonverval linguistic) as using various type of language in each cultural erea. Korean aesthetics on 'dogu'philosophy introduces a whole new set of basic concepts outside western aesthetic framework of beauty Most distinctive is the insistence on overcoming dichotomies, especially between cognition and emotion, (momism)body and mind, self and other, and individual and group. Several topics are particularly illuminating within aesthetics: furniture, calligraphy, traditional garments pose interesting challenging to the art/nature, inside/outside, ethics/desire dichotomies so crucial to moral and cultural context. aesthetics are equally deserving of philosophical scrutiny: the ways in which philosophy of 'dogu'and aesthetics are integrated with daily life, the emphasis on process or understanding context rather than product itself or product 'form'. Dogu did not separate daily life and aesthetics from understanding social context. Language of 'togu' also has own vocabulary and grammar. But we often cannot gain our persnol experience truthful beauty of togu until understand context of understanding. it would be immpossible to explain ,or to analize different way of thinkings and behaivor precisly without understanding same codes of language.

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Ensemble of Nested Dichotomies for Activity Recognition Using Accelerometer Data on Smartphone (Ensemble of Nested Dichotomies 기법을 이용한 스마트폰 가속도 센서 데이터 기반의 동작 인지)

  • Ha, Eu Tteum;Kim, Jeongmin;Ryu, Kwang Ryel
    • Journal of Intelligence and Information Systems
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    • v.19 no.4
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    • pp.123-132
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    • 2013
  • As the smartphones are equipped with various sensors such as the accelerometer, GPS, gravity sensor, gyros, ambient light sensor, proximity sensor, and so on, there have been many research works on making use of these sensors to create valuable applications. Human activity recognition is one such application that is motivated by various welfare applications such as the support for the elderly, measurement of calorie consumption, analysis of lifestyles, analysis of exercise patterns, and so on. One of the challenges faced when using the smartphone sensors for activity recognition is that the number of sensors used should be minimized to save the battery power. When the number of sensors used are restricted, it is difficult to realize a highly accurate activity recognizer or a classifier because it is hard to distinguish between subtly different activities relying on only limited information. The difficulty gets especially severe when the number of different activity classes to be distinguished is very large. In this paper, we show that a fairly accurate classifier can be built that can distinguish ten different activities by using only a single sensor data, i.e., the smartphone accelerometer data. The approach that we take to dealing with this ten-class problem is to use the ensemble of nested dichotomy (END) method that transforms a multi-class problem into multiple two-class problems. END builds a committee of binary classifiers in a nested fashion using a binary tree. At the root of the binary tree, the set of all the classes are split into two subsets of classes by using a binary classifier. At a child node of the tree, a subset of classes is again split into two smaller subsets by using another binary classifier. Continuing in this way, we can obtain a binary tree where each leaf node contains a single class. This binary tree can be viewed as a nested dichotomy that can make multi-class predictions. Depending on how a set of classes are split into two subsets at each node, the final tree that we obtain can be different. Since there can be some classes that are correlated, a particular tree may perform better than the others. However, we can hardly identify the best tree without deep domain knowledge. The END method copes with this problem by building multiple dichotomy trees randomly during learning, and then combining the predictions made by each tree during classification. The END method is generally known to perform well even when the base learner is unable to model complex decision boundaries As the base classifier at each node of the dichotomy, we have used another ensemble classifier called the random forest. A random forest is built by repeatedly generating a decision tree each time with a different random subset of features using a bootstrap sample. By combining bagging with random feature subset selection, a random forest enjoys the advantage of having more diverse ensemble members than a simple bagging. As an overall result, our ensemble of nested dichotomy can actually be seen as a committee of committees of decision trees that can deal with a multi-class problem with high accuracy. The ten classes of activities that we distinguish in this paper are 'Sitting', 'Standing', 'Walking', 'Running', 'Walking Uphill', 'Walking Downhill', 'Running Uphill', 'Running Downhill', 'Falling', and 'Hobbling'. The features used for classifying these activities include not only the magnitude of acceleration vector at each time point but also the maximum, the minimum, and the standard deviation of vector magnitude within a time window of the last 2 seconds, etc. For experiments to compare the performance of END with those of other methods, the accelerometer data has been collected at every 0.1 second for 2 minutes for each activity from 5 volunteers. Among these 5,900 ($=5{\times}(60{\times}2-2)/0.1$) data collected for each activity (the data for the first 2 seconds are trashed because they do not have time window data), 4,700 have been used for training and the rest for testing. Although 'Walking Uphill' is often confused with some other similar activities, END has been found to classify all of the ten activities with a fairly high accuracy of 98.4%. On the other hand, the accuracies achieved by a decision tree, a k-nearest neighbor, and a one-versus-rest support vector machine have been observed as 97.6%, 96.5%, and 97.6%, respectively.

Equivalence-Singularity Dichotomies of Gaussian and Poisson Processes from The Kolmogorov's Zero-One Law

  • Park, Jeong-Soo
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.367-378
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    • 1994
  • Let P and Q be probability measures of a measurable space $(\Omega, F)$, and ${F_n}_{n \geq 1}$ be a sequence of increasing sub $\sigma$-fields which generates F. For each $n \geq 1$, let $P_n$ and $Q_n$ be the restrictions of P and Q to $F_n$, respectively. Under the assumption that $Q_n \ll P_n$ for every $n \geq 1$, a zero-one condition is derived for P and Q to have the dichotomy, i.e., either $Q \ll P$ or $Q \perp P$. Then using this condition and the Kolmogorov's zero-one law, we give new and simple proofs of the dichotomy theorems for a pair of Gaussian measures and Poisson processes with examples.

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The effects of CPR education on CPR knowledge and self-efficacy for dental hygiene students from different regions

  • Lee, Young-Soo
    • Journal of Korean society of Dental Hygiene
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    • v.17 no.6
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    • pp.1003-1012
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    • 2017
  • Objectives: The purpose of this study is to investigate the knowledge and self-efficacy of dental hygiene students after cardiopulmonary resuscitation (CPR) education. Methods: A self-reported questionnaire was filled out by 260 dental hygiene students in the period between 5 November 2015 and 30 December 2015. The data analysis was performed by SPSS win 22.0 program for frequency analysis, chi-square analysis, and dichotomies multiple response analysis. Results: Self-efficacy and knowledge increased after CPR education. Most of the dental hygiene students are statistically significant difference in self-efficacy depending on CPR knowledge. Conclusions: Based on the results of this study, we suggest that the theory and practice of CPR, if taught to dental hygiene students, will boost their self-efficacy, and enable them to perform it correctly when faced with and emergency situation.

TWO COMPONENT MODEL OF INITIAL MASS FUNCTION

  • Hong, S.S.
    • Journal of The Korean Astronomical Society
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    • v.14 no.2
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    • pp.89-93
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    • 1981
  • Weibull analyses given to the initial mass function (IMF) deduced by Miller and Scalo (1979) have shown that the mass dependence of IMF is an exp$[-{\alpha}m]$- form in low mass range while in the high mass range it assumes an exp$[-{\alpha}\sqrt{m}]/\sqrt{m}$-form with the break-up being at about the solar mass. Various astrophysical reasonings are given for identifying the exp$[-{\alpha}m]$ and exp$[-{\alpha}\sqrt{m}]/\sqrt{m}$ with halo and disk star characteristics, respectively. The physical conditions during the halo formation were such that low mass stars were preferentially formed and those in the disk high mass stars favoured. The two component nature of IMF is in general accord with the dichotomies in various stellar properties.

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The Study of Personality Types between Pediatric and Other Dental Residents (소아치과 전공의와 타과 전공의 간 성격 유형 연구)

  • Jang, Seokhun;Kim, Sunah;Nam, Okhyung;Kim, Misun;Choi, Sungchul;Lee, Hyoseol
    • Journal of the korean academy of Pediatric Dentistry
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    • v.44 no.3
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    • pp.327-334
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    • 2017
  • The purpose of this study was to compare the personality types between pediatric and other dental residents. 77 pediatric dental residents and 71 other dental residents in Korea were surveyed by Myers-Briggs Type Indicator questionnaire. Myers-Briggs Type Indicator (MBTI) had 4 personality dichotomies consisting of 2 opposite characteristics that were extraversion / introversion, sensing / intuition, thinking / feeling, and judging / perception. Combinations of these four dichotomies could make 16 personality types. The percentage of pediatric dental residents was higher in sensing and judging, but there were no statistically differences. The majority of personal type was ISTJ in both groups. Statistical significance observed only in gender. The ratio of thinking was higher in male than in female (p < 0.05). The meaning of this study was the first survey performed on the personality types between pediatric dental residents and other dental residents in Korea. Further study with pre-survey orientation and increased sample size should proceed.

The Dilemma of Representation: Appropriation of Gender Dichotomy by Women Artists from the Middle East (재현의 딜레마: 포스트페미니즘세대 중동출신 여성작가들의 젠더 이분법 차용방식 연구)

  • Lee, Hyewon
    • The Journal of Art Theory & Practice
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    • no.15
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    • pp.111-135
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    • 2013
  • This study explores gender images represented in the works of women artists from the Middle East, where male chauvinism is recognized to be more predominant than elsewhere. The artists included in this study such as Mona Hatoum, Shirin Neshat, Lida Abdul and Sigalit Landau are Post-Feminist generation of artists who were born in the Middle East but spent significant amount of time in the West. In addition, they were trained as artists under the influences of the Western Feminist Art. This particular group of female artists pays much attention to the ontological question of their identities rather than male/female inequality, and each artist represents men and women in the ways that can hardly be found in the works by women artists in the West. These artists not only connect gender identities to the socio-political geography of the Middle East but also deconstruct Western stereotypes of men and women from Arab world. The paper focuses on the way these women artists incorporate male/female vs. culture/nature dichotomies into their works to subvert the premises on which Western Feminism has been based and not only to cast light on women's freedom and their ontological conflicts but also to emphasize social suppression inflicted upon men. In such process, these artists resist stereotypical images of Middle Eastern men and women widely circulated in the mainstream media of the West.

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