• Communications of the Korean Mathematical Society
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• v.31 no.4
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• pp.811-817
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• 2016

Using the periodic continued fraction, we give concrete examples of the points at which the derivatives of the Minkowski question mark function does not exist. We also give examples of the differentiability points which show that recent apparently independent results are consistent and closely related.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.2
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• pp.155-159
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• 2009

Using the Binet's formula, we show that the quotient related ratio $l_{1(x)}\;\neq\;0$ for the eventually periodic continued fraction x. Using this ratio, we also show that the derivative of the Minkowski question mark function at the simple periodic continued fraction is infinite or 0. In particular, $l_1({[\bar{1}]})$ = 2 log $\gamma$ where $\gamma$ is the golden mean $(1+\sqrt{5})/2$ and the derivative of the Minkowski question mark function at the simple periodic continued fraction $[\bar{1}]$ is infinite.

• The Korean Journal of Community Living Science
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• v.17 no.3
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• pp.3-14
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• 2006

The purpose of this study was to investigate the relationship between conversational function and question type in mothers' utterances and their infant's language development. The subjects were 20 infants from 1;07 to 1;11 years of age in Yanji, China. Each child's spontaneous natural speech during interaction with his/her mother was videotaped for about 30 minutes. The children and their mother's spontaneous utterances were transcribed and coded for the number of type and token of word, grammatical morpheme conversational function and type of question in mother's language input to her child. The result showed that mothers used questions as the most frequent conversational function with their infants. The number of questions in conversational function in mothers' utterances positively correlated with the type of word, type of morpheme and grammatical morpheme in infants' utterance. However, there was no correlation between mothers' language input and infant early language development.

• The Mathematical Education
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• v.58 no.2
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• pp.239-262
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• 2019

This study deals with the anxieties that originated from specific student questions. Through the analysis of the textbooks, we confirmed that the question was a sufficiently plausible question. Third interviews were also held with three high school students. Through the interviews, we analyzed students' expressions about the new correspondence relationship that the two correspondence relations are linked. In the determination of the composite function and the determination of the inverse function existence, We have observed a case of how the worries about domain are being reconstructed from students into meaningful mathematical knowledge. Through this, we confirmed that the question will be confusing to students in the field. In this study, we observed the transfer of domain in relation to student domain in composite function. In particular, a present study revealed that the students involved in the interview were influenced by this domain transfer phenomenon in determining whether the task given in the interview was a function. This was the same in determining the existence of a inverse function. The examples presented in this study are limited to specific cases in limited circumstances. Therefore, it can not be applied directly to teaching and learning situations. However, it is expected that this study will provide other researchers with insight into function learning related research.

• Kyungpook Mathematical Journal
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• v.46 no.3
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• pp.437-444
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• 2006

In this paper, we deal with the uniqueness of meromorphic functions concerning one question of Gross (see [5, Question 6]), and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.4
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• pp.537-543
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• 2015

In [9], the authors determine an infinite class of non-unimodal Gorenstein sequence, which includes the example $$\bar{h}_1\text{ = (1, 125, 95, 77, 71, 77, 95, 125, 1)}$$. They raise a question whether there is a Gorenstein algebra with Hilbert function $$\bar{h}_2\text{= (1, 125, 95, 77, 70, 77, 95, 125, 1)}$$, which has remained an open question. In this paper, we prove that there is no Gorenstein algebra with Hilbert function $\bar{h}_2$.

• Journal of Korean Society of Archives and Records Management
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• v.6 no.1
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• pp.113-136
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• 2006

This study aims for the above mentioned. After all, through the analysis of Electronic Question/Answering Function to understand a user's demand under online circumstances, groping for the method to provide an appropriate Archival Information Service is the most important thing. For this, in this study, it researched the users interviews and the research related to users as a precedence study, and the studies having examined the state of demanding information by users through analyzing the e-mail actually. Additionally, by looking over the study of Library and Information Science that is activated in a field of Electronic Question/Answering Function rather than Archival Science, as a matter of fact, the study has come up with the standard for analyzing Electronic Question/Answering Function. And based on the precedence study, the instances for the National Archives from USA, England, Australia and Canada were analyzed, and the chance of activating Archival Information Service were tried to grope for in the study. This study might be one of methodologies in examining the users study that is not activated yet in Archival Science. Therefore, the users study can be carried out in various methods as well as Electronic Archives/Answering Service. This study might be the important information in providing far better Archival Information Services. It is desirable that based on this opportunity, the study related to the various users by examining not only Electronic Archives/Answering Function but also Question/Answering of the users and the Archivists in the filed to the larger extend will be activated for Archival Science.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.825-838
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• 2017

In this paper we study the uniqueness question of meromorphic functions whose certain differential polynomials share a small function.

• Journal of Science Education
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• v.36 no.2
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• pp.167-185
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• 2012

This study aimed at finding points of improvement in teaching expertise by analyzing the question patterns that appeared during teaching demonstrations which applied science teaching models prepared by a pre-service biology teacher. The question analysis frame for analyzing question types were categorized largely into the question types of Category 1 (questions in cognitive domain, questions with research function, questions in affective domain), Category 2 (repeated questions, questions for narrowing the range, practice questions), and Category 3 (questions on student activity progress, memory questions, and thinking questions). The results of analyzing question patterns from five different science teaching models revealed a high frequency of questions in the fields of cognition and memory. For the circular learning model, questions from the cognitive field appeared the most often, while, student activity progressive questions in particular were used mostly in the 'preliminary concept introduction stage' of the circular learning model and the 'secondary exploratory stage', in which experiments were conducted, and displayed the characteristics of these stages. The discovery learning model combined the courses of observation, measurement, classification and generalization, but, during teaching demonstrations, memory questions turned up the most, while the portion of inquisitive function questions was low. There were many questions from the inquisitive learning model, and, compared to other learning models, many exploratory function questions turned up during the 'experiment planning stage' and 'experiment stage'. Definitional questions and thought questions for the STS learning model turned up more than other learning models. During the change of concept learning model, the five concepts of students were stimulated and the modification of scientific concepts was very much aided by using many memory questions.

• Journal of Korean Elementary Science Education
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• v.33 no.2
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• pp.273-285
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• 2014

Purpose of this study is to analyze eye movements of pre-service teachers and elementary students about a visual material of the change on the lunar phases. Eye-Tracker was used for analysis for eye-fixation time and eye movement at the structure, behavior, function question on the visual material. The Results were as follows. First, the pre-service teacher checked the visual materials from a holistic perspective depending on the function questions and fixed eye-fixation on the moon of the behavior question concerned. On the contrary, elementary school student only checked function of the moon located in the upper part and eye-fixation focus was spread here and there regardless of the questions. Second, the pre-service teacher gazed at the sun, earth and moon in a consecutive order depending on the questions to identify their spatial relations and checked location of the moon related to the question. On the contrary, the elementary school student did not view relations between earth, sun and moon from a spatial perspective. These findings indicate that the pre-service teacher conjures up the mechanism of the change on the lunar phases and confirms it in visual materials by visualizing change on the lunar phase model from earth's point of view while the elementary school student fails to take advantage of visual materials to visualize it from earth's point of view.