• International Journal of Industrial Entomology and Biomaterials
• /
• 제2권1호
• /
• pp.79-81
• /
• 2001

A study was conducted to establish the degree of genetic divergence between different hybrid forms and rearing conditions through estimation of the minimum number of genes (allelic pairs) differentiating parents in terms of specific quantitative traits. It was established that the minimum gene numbers differentiating parental lines in the inheritance of cocoon was 1, of cocoon shell weight- between 1 and 2, and of silk filament length- between 2 and 3. The variability in the specific genetic parameter could be explained by the reliability of the statistical-and-genetic method used and the expression of genes affecting the formation of each of the characters tested. Gene expression, in its turns is conditioned both by the gene interaction within the genotypes and the different genotype response to environmental change. To go deep in the problem, experiments should be conducted under strictly controlled conditions, reducing the mathematical-and-genetic analysis to a physiological levels and hence to analyse the genetic nature of the specific quantitative character formation and its genetic control.

• 한국경영과학회지
• /
• 제24권2호
• /
• pp.81-94
• /
• 1999

ATM network design procedure is different from the current circuit or packet networks design procedure because of the variety of the offered services and the variability of requested bandwidth for each connection of ATM network. A number of optimization models for the link dimensioning of ATM network design have been proposed in the literature. However, most of the literature did not consider the modularity of resources allocated to a transmission path and the non-bifurcation of a VP link over the more than one TP, which are standardized in recent ITU-T Recommendations. In thIs paper, we propose a mathematical model for link dimensioning of ATM networks, based on the network synthesis method and a generalized bin-packing problem. The suggested model satisfies the constraints mentioned in the ITU-T Recommendations. We also propose efficient and practical algorithms for the suggested model. Computational experiment shows that the suggested algorithm gives efficient solutions even for moderate and large-sized networks within reasonable time.

• Restorative Dentistry and Endodontics
• /
• 제43권3호
• /
• pp.34.1-34.5
• /
• 2018

In the previous section, we established a simple linear regression line by finding the slope and intercept using the least square method as: ${\hat{Y}}=30.79+0.71X$. Finding the regression line was a mathematical procedure. After that we need to evaluate the usefulness or effectiveness of the regression line, whether the regression model helps explain the variability of the dependent variable. Also, statistical inference of the regression line is required to make a conclusion at the population level, because practically, we work with a sample, which is a small part of population. Basic assumption of sampling method is simple random sampling.

• International Journal of Reliability and Applications
• /
• 제8권2호
• /
• pp.183-197
• /
• 2007

There is a growing trend for asset intensive industries to outsource maintenance services of their complex assets since outsourcing through service contract reduces upfront investments in infrastructure, expertise and specialised maintenance facilities. Estimation of costs for such contracts is complex and it is important to the user and the service providers for economic variability. The service provider's profit is influenced by many factors such as the terms of the contract, reliability of asset, and the servicing strategies, costs of resources needed to carryout maintenance. There is a need to develop mathematical models for understanding future costs to build it into the contract price. Three policies for service contracts are proposed in this paper considering the concepts of outsourcing maintenance service of assets to the service providers. Conceptual models are developed for estimating servicing costs of outsourcing through service contracts by considering time dependent failure mode.

• 한국임상약학회지
• /
• 제21권2호
• /
• pp.145-155
• /
• 2011

The objective of this study was to determine whether any pretreatment parameters were associated with pharmacological effect or toxicity parameters after vincristine administration and to describe a mathematical model, which explains the interpatient pharmacodynamic variability. The relationship between patient characteristics and vincristine dose and hematological toxicity were evaluated. 68 pediatric and adolescence patients and 107 adults with acute lymphoblastic leukemia were treated with vincristine $1.5mg/m^2/day$ IV and other anticancer drugs as scheduled. Complete blood counts and other blood test results were obtained. The input variables were age, gender, weight, lean body weight (LBW), height, body surface area, vincristine dose and total vincristine dose. The outcome measures were nadir values (white blood cells, absolute neutrophil counts, hemoglobin, and platelets); the absolute decrease, relative decrease, and survival fraction of blood cells. Polynomial regression analysis was carried out to determine the other significant covariates. The variability of $WBC_{nadir}$ was modeled with good precision and accuracy with a two-covariate model. This model should be validated and improved on with further clinical data. We believe that such pharmacodynamic modeling should be explored further to determine its performance and clinical relevance compared with modeling using pharmacokinetic parameter.

• 대한의용생체공학회:학술대회논문집
• /
• 대한의용생체공학회 1997년도 춘계학술대회
• /
• pp.165-170
• /
• 1997

In this paper, we consider the aortic sinus baroreceptor, which is the most representative baroreceptors sensing the variance of pressure in the cardiovascular system(CVS), and propose heart activity control model to observe the effect of delay time in heart period and stroke volume under the regulation of baroreflex in arotic sinus. The proposed heart activity baroreflex regulation model contains CVS electric circuit sub-model, baroreflex regulation sub-model and time delay sub-model. In these models, applied electric circuit sub-model is researched by B.C.Choi and the baroreflex regulation sub-model transforms the input, the arotic pressure of CVS electric circuit sub-model, to outputs, heart period and stroke volume by mathematical nonlinear feedback. We constituted the time delay sub-model to observe sensitivity of heart activity baroreflex regulation model by using the variable value to represent the control signal transmission time from the output of baroreflex regulation model to efferent nerve through central nervous system. The simulation object of this model is to observe variability of the CVS by variable value in time delay sub-model. As simulation results, we observe three patterns of CVS variability by the time delay. First, if the time delay is over 2.5 sec, arotic pressure, stroke volume and heart rate is observed nonperiodically and irregularly. Second, if the time delay is from between 0.1 sec and 0.25 sec, the regular oscillation is observed. Finally, if time delay is under 0.1 sec, then heart rate and arotic pressure-heart rate trajectory is maintained in stable state.

• 대한음성학회:학술대회논문집
• /
• 대한음성학회 1996년도 10월 학술대회지
• /
• pp.274-274
• /
• 1996

This presents the preliminary results from work in progress of a paired study of the acquisition of voiceless stops by Spanish speakers learning English, and American English speakers learning Spanish. For this study the hypothesis was that the American speakers would have no difficulty suppressing the aspiration in Spanish unaspirated stops; the Spanish speakers would have difficulty acquiring the aspiration necessary for English voiceless stops, according to Eckman's Markedness Differential Hypothesis. The null hypothesis was proved. All subjects were given the same set of disyllabic real words of English and Spanish in carrier phrases. The tokens analyzed in this report are limited to word-initial voiceless stops, followed by a low back vowel in stressed syllables. Tokens were randomized and then arranged in a list with the words appearing three separate times. Aspiration was measured from the burst to the onset of voicing(VOT). Both the first language (Ll) tokens and second language (L2) tokens were compared for each speaker and between the two groups of language speakers. Results indicate that the Spanish speakers, as a group, were able to reach the accepted target language VOT of English, but English speakers were not able to reach the accepted range for Spanish, in spite of statistically significant changes of p<.OOl by speakers in both groups of learners. A closer analysis of the speech samples revealed wide variability within the speech of native speakers of English. Not only is variability in English due to the wide range of VOT (120 msecs. for English labials, for example) but individual speakers showed different patterns. These results are revealing for the demands requied in experimental designs and the number of speakers and tokens requied for an adequate description of different languages. In addition, a simple report of means will not distinguish the speakers and the respective language learning situation; measurements must also include the RANGE of acceptability of VOT for phonetic segments. This has immediate consequences for the learning and teaching of foreign languages involving aspirated stops. In addition, the labelling of spoken language in speech technology is shown to be inadequate without a fuller mathematical description.

• 대한수학교육학회지:학교수학
• /
• 제8권4호
• /
• pp.417-439
• /
• 2006

본 연구의 목적은 프로이덴탈의 수학화 교수 학습론을 토대로 현행 고등학교 미적분 교수 학습의 문제점을 해결하기 위한 대안을 탐색하는 데 있다. 이러한 연구의 목적을 달성하기 위해 프로이덴탈의 수학화 이론과 딘즈의 개념학습의 다양성 이론의 변증법적 통합을 시도하고 이를 토대로 수학 II 미분 영역의 교과서 분석을 통해 문제점을 도출한 후, 수정된 수학화 과정에 충실한 미분계수 개념의 수학화 적분 교수 학습 자료를 개발하였다. 개발된 자료의 특징은 미분계수 개념의 역사적 근원문제인 접선문제와 속도문제를 다양한 표현도구를 이용하여 해결하는 과정에서 접선개념과 속도개념을 수학화 한 후에 미분계수 개념을 수학화하는 데 있다.

• 한국학교수학회논문집
• /
• 제24권2호
• /
• pp.191-216
• /
• 2021

본 연구는 2015 개정 수학과 교육과정에 따른 <확률과 통계> 교과서의 통계적 추정 단원에서, 통계적 문제해결과정과 함께 통계적 소양이 어떻게 구현되는가를 분석하였다. 문헌 연구를 통해 통계적 소양의 성장에 기여하는 요소로서 '맥락', '변이성', '수학적·통계적 지식', '공학 도구의 활용', '비판적 태도', '의사소통'을 도출하여 통계적 문제해결과정에 따른 분석 관점을 설정하고, 이를 코드화하여 개발한 분석틀을 토대로 교과서 분석을 실시하였다. 통계적 문제해결과정의 관점에서 분석결과 '자료 분석'에 해당하는 과제가 많이 제시되어 있었고 '결과 해석', '문제 설정'과 관련한 과제가 부족하였다. 통계적 소양의 요소별 반영에 관한 분석 결과 '수학적·통계적 지식'을 요구하는 과제가 가장 많았으며, '비판적 태도', '공학 도구 활용'은 거의 다루어지지 않고 있었다. 이러한 교과서 분석결과를 바탕으로 통계적 소양의 함양 교육을 위한 교육과정 개선 및 교과서 개발에 대한 시사점을 제시하였다.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제63권2호
• /
• pp.209-231
• /
• 2024

4차 산업혁명과 인공지능의 발전으로 교육 분야에서 많은 변화가 일어나고 있다. 특히, 인공지능을 기반으로 하는 교육의 중요성이 강조되고 있다. 이러한 흐름에 따라 본 연구에서는 고등학교 수학에서 딥러닝 예측을 이용한 통계교육 프로그램을 개발하고 이러한 통계적 문제해결 과정 중심의 통계교육 프로그램이 고등학생들의 통계적 소양 및 컴퓨팅 사고력에 미치는 영향을 고찰하고자 한다. 먼저, 본 연구에서는 고등학교 수학에 적용할 수 있는 딥러닝 예측을 이용한 통계교육 프로그램을 개발하였고, 이를 실제 수업상황에 적용하여 분석하였다. 분석 결과, 학생들은 자료가 어떤 맥락에서 생성되고 수집되었는지 경험함으로써 맥락에 대한 이해도가 향상되었으며, 다양한 데이터셋을 탐색하고 분석하는 과정에서 자료의 변이성에 대한 이해도가 높아졌고, 자료의 신뢰성을 검증하는 과정에서 자료를 비판적으로 분석하는 능력을 보였다. 통계교육 프로그램이 고등학생들의 컴퓨팅 사고력에 미치는 영향을 분석하고자 대응 표본 t-검정 시행하였고, 수업 전과 후의 컴퓨팅 사고력 (t=-11.657, p<0.001)은 통계적으로 유의한 차이가 있음을 확인하였다.