• Title/Summary/Keyword: Normal Distribution

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Analysis of the Secondary Pre-service Mathematics Teachers' Mathematical Knowledge for Teaching(MKT): Focused on Normal Distribution (중등 예비 수학교사들의 수학교수지식(MKT)분석: 정규분포를 중심으로)

  • Hwang, Hye Jeang;Chae, Joon Hwan
    • Journal of the Korean School Mathematics Society
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    • v.23 no.4
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    • pp.427-448
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    • 2020
  • The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the pre-service mathematics teachers on the normal distribution through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 24 secondary pre-service mathematics teachers, in this study the test items of the MKT on the normal distribution were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) of the preparatory mathematics teacher was confirmed as a high score, whereas the SCK(Specialized Content Knowledge) and KCS(Knowledge of Content and Students) were confirmed as low scores. In addition, through these results, it could be confirmed that the difference in MKT of preparatory mathematicians occurred.

Exceedance probability of allowable sliding distance of caisson breakwaters in Korea (국내 케이슨 방파제의 허용활동량 초과확률)

  • Kim, Seung-Woo;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.6
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    • pp.495-507
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    • 2009
  • The expected sliding distance for the lifetime of a caisson breakwater has a limitation to be used as the stability criterion of the breakwater. Since the expected sliding distance is calculated as the mean of simulated sliding distances for the lifetime, there is possibility for the actual sliding distance to exceed the expected sliding distance. To overcome this problem, the exceedance probability of the allowable sliding distance is used to assess the stability of sliding. Latin Hypercube sampling and Crude Monte Carlo simulation were used to calculate the exceedance probability. The doubly-truncated normal distribution was considered to complement the physical disadvantage of the normal distribution as the random variable distribution. In the case of using the normal distribution, the cross-sections of Okgye, Hwasun, and Donghae NI before reinforcement were found to be unstable in all the limit states. On the other hand, when applying the doubly-truncated normal distribution, the cross-sections of Hwasun and Donghae NI before reinforcement were evaluated to be unstable in the repairable limit state and all the limit states, respectively. Finally, the shortcoming of the expected sliding distance as the stability criterion was investigated, and we reasonably assessed the stability of sliding of caissons by using the exceedance probability of allowable sliding distance for the caisson breakwaters in Korea.

3D Model Retrieval using Distribution of Interpolated Normal Vectors on Simplified Mesh (간략화된 메쉬에서 보간된 법선 벡터의 분포를 이용한 3차원 모델 검색)

  • Kim, A-Mi;Song, Ju-Whan;Gwun, Ou-Bong
    • Journal of Korea Multimedia Society
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    • v.12 no.11
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    • pp.1692-1700
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    • 2009
  • This paper proposes the direction distribution of surface normal vectors as a feature descriptor of three-dimensional models. Proposed the feature descriptor handles rotation invariance using a principal component analysis(PCA) method, and performs mesh simplification to make it robust and nonsensitive against noise addition. Our method picks samples for the distribution of normal vectors to be proportional to the area of each polygon, applies weight to the normal vectors, and applies interpolation to enhance discrimination so that the information on the surface with less area may be less reflected on composing a feature descriptor. This research measures similarity between models with a L1-norm in the probability density histogram where the distances of feature descriptors are normalized. Experimental results have shown that the proposed method has improved the retrieval performance described in an average normalized modified retrieval rank(ANMRR) by about 17.2% and the retrieval performance described in a quantitative discrimination scale by 9.6%~17.5% as compared to the existing method.

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Distribution of the Muscarinic Cholinergic Receptors and Characterization in the Brain of Wistar Rats and Spontaneously Hypertensive Rats (SHR Strain) by Digital Autoradiography (Digital Autoradiographic System을 이용한 선천성고혈압에서의 Muscarinic Cholinergic Receptor 분포 및 특성)

  • Sohn, In;Lee, Myung-Chul;Koh, Chang-Soon
    • The Korean Journal of Nuclear Medicine
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    • v.27 no.1
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    • pp.28-34
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    • 1993
  • Using in vitro autoradiography with a digital autoradiography system and radioreceptor assay, the distribution and the binding characteristics of the muscarinic cholinergic receptors (mAChR) were studied in regions of rat brain. Radioreceptor assay revealed that mAChR could be measured with saturation binding assay in the brain and heart homogenates: No difference in Kd or Bmax of the brain or heart was found between the normal Wistar rats and SHR rats. Specific binding of $^3H$ quinuclidinyl benzilate (QNB) increased and saturation was reached by 2 hours after incubation with slide-mounted brain tissue. The distribution of mAChR was heterogeneous along the fields of brain. Affinity (Kd) of mAChR was not different significantly among cortex, hippocampus and caudate-putamen. No difference was found between normal rats and SHR strain. More receptors (Bmax) were found in the cortex and hippocampus than in the caudate-putamen in normal rats. More receptors were found in the cortex and caudate-putamen in SHR rats than in normal rats. Radioreceptor assay and digital autoradiographic analysis of affinity and number of mAChR gave the same results. With the above findings, we concluded that we could use digital autoradiographic system with $^3H$-QNB in the characterization of mAChR of rats and that the cortex and caudate-putamen of SHR strain rats have more receptors than those of normal rats.

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Variable Selection in Clustering by Recursive Fit of Normal Distribution-based Salient Mixture Model (정규분포기반 두각 혼합모형의 순환적 적합을 이용한 군집분석에서의 변수선택)

  • Kim, Seung-Gu
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.821-834
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    • 2013
  • Law et al. (2004) proposed a normal distribution based salient mixture model for variable selection in clustering. However, this model has substantial problems such as the unidentifiability of components an the inaccurate selection of informative variables in the case of a small cluster size. We propose an alternative method to overcome problems and demonstrate a good performance through experiments on simulated data and real data.

Estimation of Visual Evoked Potentials Using Time-Frequency Analysis (시-주파수 분석법을 이용한 시각자극 유발전위에 관한 연구)

  • 홍석균;성홍모;윤영로;윤형로
    • Journal of Biomedical Engineering Research
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    • v.22 no.3
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    • pp.259-267
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    • 2001
  • The visual evoked potentials(VEPs) is used to assist in the diagnosis of specific disorders associated with involvement of the sensory visual pathways. The P100 latency is an important parameter which is diagnosis of optic nerve disorders. There are characteristics of latency delay, wave distortion, amplitude deduction in abnormal subjects. It is difficult to diagnose in the case of producing peak at the P100 latency. In this paper, difference of pattern between normal VEPs and abnormal VEPs using the Choi-Williams distribution method is studied. We observed the relationship about time and spectrum. The result shown that normal VEPs had maximum spectral value at 20Hz~26.7Hz and abnormal VEPs had maximum spectral value at 16.7Hz~20Hz. Also normal VEPs spectrum is higher than abnormal VEPs spectrum.

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Comparison and Evaluation of Performance for Standard Control Limits and Bootstrap Percentile Control Limits in $\bar{x}$ Control Chart ($\bar{x}$ 관리도의 표준관리한계와 부트스트랩 백분률 관리한계의 수행도 비교평가)

  • 송서일;이만웅
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.52
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    • pp.347-354
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    • 1999
  • Statistical Process Control(SPC) which uses control charts is widely used to inspect and improve manufacturing process as a effective method. A parametric method is the most common in statistical process control. Shewhart chart was made under the assumption that measurements are independent and normal distribution. In practice, this assumption is often excluded, for example, in case of (equation omitted) chart, when the subgroup sample is small or correlation, it happens that measured data have bias or rejection of the normality test. A bootstrap method can be used in such a situation, which is calculated by resampling procedure without pre-distribution assumption. In this study, applying bootstrap percentile method to (equation omitted) chart, it is compared and evaluated standard process control limit with bootstrap percentile control limit. Also, under the normal and non-normal distributions, where parameter is 0.5, using computer simulation, it is compared standard parametric with bootstrap method which is used to decide process control limits in process quality.

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An Experimental Study on The Differential Dry Shrinkage of Concrete Using Artificial Lightweight Aggregate (인공 경량골재를 사용한 콘크리트의 부등 건조수축에 관한 실험적 연구)

  • Lee, Chang-soo;Kim, Young-ook;Lin, Yan
    • Journal of the Society of Disaster Information
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    • v.6 no.1
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    • pp.78-90
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    • 2010
  • Exposure to the outside, the concrete is differential moisture distribution depending on the depth. Such a differential moisture distribution causes the differential drying shrinkage in concrete structures. This thesis is researched to compare the shrinkage of lightweight concrete depending on depth to normal concrete. It is used artificial lightweight aggregate which has 20% of pre-absorb value by lightweight concrete. When water-binder ratio is 30%, average shrinkage of lightweight concrete section decreased than normal concrete, but differential shrinkage of lightweight concrete section increased. However water-binder ratio is 40% and 50% average shrinkage and differential shrinkage of lightweight concrete section decreased than normal concrete.

A Study of FO's realization in Emotional speech (감정에 따른 음성의 기본주파수 실현 연구)

  • Park, Mi-Young;Park, Mi-Kyoung
    • Proceedings of the KSPS conference
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    • 2005.11a
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    • pp.79-85
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    • 2005
  • In this Paper, we are trying to compare the normal speech with emotional speech -happy, sad, and angry states- through the changes of fundamental frequency. Based on the distribution charts of the normal and emotional speech, there are distinctive cues such as range of distribution, average, maximum, minimum, and so on. On the whole, the range of the fundamental frequency is extended in happy and angry states. On the other hand, sad states make the range relatively lessened. Nevertheless, the ranges of the 10 frequency in sad states are wider than the normal speech. In addition, we can verify that ending boundary tones reflect the information of whole speech.

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Anisotropic Phase Transitions of Hard-Spheres Confined in Hard Walls

  • Yun, Byeong Jip
    • Bulletin of the Korean Chemical Society
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    • v.22 no.12
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    • pp.1375-1379
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    • 2001
  • Monte Carlo simulations of hard-spheres confined in parallel hard walls have been carried out extensively at various densities and for various wall distances. The compressibility factors in the directions parallel and normal to the wall have been calculated from the radial free space distribution function (RFSDF) with the results showing that the compressibility factors normal to the wall are smaller than those in parallel direction and that a solid phase is formed in the direction normal to the wall while a fluid phase remains in the parallel direction. An order parameter is found to classify the phases whether a system (or a molecule) is in a fluid or a solid state. The compressibility factors of narrow wall are very small compared to those when the wall is put away. A plausible mechanism of the rise of sap in xylem vessel has been proposed.