• Title/Summary/Keyword: 수학식 색인

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Indexing and Ranking Mathematical Equations Using Postfix Notation (후위 표기법을 사용한 수학식 색인 및 랭킹)

  • Lee, Sehee;Shin, Junsoo;Kim, Harksoo
    • Annual Conference on Human and Language Technology
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    • 2009.10a
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    • pp.160-164
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    • 2009
  • 최근 인터넷 및 컴퓨터의 사용이 활발해짐에 따라 문서의 디지털화가 빠르게 진행되고 있다. 이런 변화에 따라 수학식이 많이 사용되는 과학, 공학, 수학 등의 분야와 관련된 문서들을 검색해야할 필요성이 늘어가고 있다. 그러나 현재 일반 검색엔진은 텍스트 검색만을 제공하며 별도의 수학식 검색은 제공하지 않는다. 따라서 본 논문에서는 수학식 검색이 가능하도록 수학식의 색인 방법 및 랭킹 방법을 제안한다. 제안하는 색인 방법은 MathML로 입력되는 수학식을 후위 표기법과 일반 색인 방법의 두 가지로 색인하며, 언어모델을 사용하여 질의에 적합한 수학식을 랭킹한다. 일반 검색 엔진의 성능과 비교하기 위하여 2-포아송 모델과 제안 모델을 비교하였으며, 그 결과 제안 모델의 성능이 더 우수함을 보였다.

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Analytic Expression of the Signal Distortion in Dispersion-Managed Optical Transmission (최적으로 색분산 보상된 광통신 시스템에서 신호 왜곡에 관한 근사적 수학식 연구)

  • Kim, Sung-Man
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.8
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    • pp.1235-1240
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    • 2013
  • We investigate an approximate analytic expression of signal distortion caused by the interaction between self-phase modulation (SPM) and dispersion in the dispersion-managed optical transmission where the dispersion is optimally compensated. From the analytic study, we obtain the analytic expression of the signal distortion in dispersion-managed optical transmission system. To confirm the validity of the analytic expression, we show that the eye-opening penalties calculated by the analytic expression correspond with the simulation results. Using the analytic result, we can easily estimate the signal distortion without complex nonlinear simulations.

A Mathematical Equation Retrieval System Based on Formula Patterns Expressed in Korean (한글화된 수식 패턴을 이용한 수학식 검색 시스템)

  • Kim, Shin-Il;Yang, Seon;Ko, Young-Joong
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06a
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    • pp.233-236
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    • 2011
  • 일반적인 문서에 대한 정보 검색 연구는 활발히 진행되고 있으며, 일상 생활 속에서도 대중화되어 많이 사용되고 있다. 이에 따라 음성, 이미지 검색 등 특정 분야의 검색에 대한 연구도 활발히 진행되고 있지만, 수학식 검색에 대한 연구는 비교적으로 미비한 실정이다. 수학식 검색과 관련된 연구들은 대부분 MathML (Mathematical Markup Language), TeX 등으로 작성된 수학식을 대상으로 진행되었지만, 특정 언어나 별개의 수학 입력 툴들을 이용한 검색 방법은 일반 사용자들이 사용하기에는 쉽지 않다는 단점이 있다. 그래서, 본 논문에서는 일반 문서 검색과 마찬가지로, 수학식을 읽듯이 한글을 입력했을 때 색인어 추출 방법 및 검색 방법에 대해 제안한다. 실험을 위해서 수학 문제집에 나오는 1,432개의 수학식을 한글화 시켰고, 한글화된 결과에 대해 패턴 등을 추출하여 MRR (Mean Reciprocal Rank), $Rel_{EQ}$@N(Relevance evaluation at N)로 평가하였다. 100개의 한글 질의어에 대해 MRR@5로 계산된 수학식 검색 결과가 약 0.6 정도 되는 것을 확인할 수 있었고, 학습 데이터에 포함되지 않은 질의수학식 5개에 대해 $Rel_{EQ}$@5로 계산했을 때 평균 60% 의 정확률을 보였다.

Mathematical Simulation of the Temperature Dependence of Time Temperature Integrator (TTI) and Meat Qualities (육류의 품질과 Time Temperature Integrator(TTI) 온도의존성에 대한 수학적 Simulation)

  • Park, Han-Jo;Shim, Soo-Dong;Min, Sang-Gi;Lee, Seung-Ju
    • Food Science of Animal Resources
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    • v.29 no.3
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    • pp.349-355
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    • 2009
  • The temperature dependence of time temperature integrator (TTI) was investigated in terms of the Arrhenius activation energy (Ea) to determine TTI requirements to accurately predict meat quality during storage. Mathematical simulation was conducted using a numerical analysis. First, using Euler's method and MS Excel VBA, the TTI color change was kinetically modeled and numerically calculated under several storage conditions. From the TTI color variable profiles calculated from the storage time-temperature profiles, $T_{eff}$, which is a constant temperature representing the whole temperature profiles, was calculated. Upon predicting Pseudomonas spp. concentrations (one of the meat qualities) from $T_{eff}$, it was found that if $Ea_{microbial\;spoilage}=Ea_{TTI}$ be true, then Pseudomonas concentrations were calculated to be constant with the same TTI color values, regardless of time-temperature profiles, whereas if $Ea_{microbial\;spoilage}{\neq}Ea_{TTI}$ then Pseudomonas concentrations varied even with the same TTI color values. This indicates that each TTI color value represents its own fixed degree of meat quality, only if $Ea_{meat\;qualities}=Ea_{TTI}$.

Optimization of Time to Activate Time-Temperature Integrator (TTI) in Cold Chain System of Alaska Pollack (명태의 냉장유통 단계에서 시간-온도이력 지시계(TTI) 부착시점의 최적화)

  • Choi, Jung-Hwa;Park, Soo Yeon;Kang, Jin Won;Hwang, Sang Min;Kim, Min Jung;Kim, Min Jung;Lee, Man Hi;Lee, Seung Ju
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.20 no.3
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    • pp.97-102
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    • 2014
  • It was mathematically analyzed at which steps to activate TTI in the cold chain for Alaska pollack, assuming that the performance of a commercial TTI product, and Fresh-check, could not always be optimized for the pollack. Three places were selected for the TTI activation, such as on fishing ship, Busan cooperative fish market, and mart. First, the kinetic and Arrhenius temperature dependent models were experimentally built under isothermal conditions. The color index of TTI and the level of Pseudomonas spp. of pollack were measured at time intervals. Second, the resultant models were used in the mathematical calculations for dynamic temperature conditions included in the cold chain. As a result, the TTI activated at the mart place showed the best agreement between the spoilage time of the pollack and the time for the TTI color to reach its end-point. It was therefore found that it is practically important to optimally select the TTI activation place or time when using a commercial TTI product.

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Extraction of Urban Boundary Using Grey Level Co-Occurrence Matrix Method in Pancromatic Satellite Imagery (GLCM기법을 이용한 전정색 위성영상에서의 도시경계 추출)

  • Kim, Gi Hong;Choi, Seung Pil;Yook, Woon Soo;Sohn, Hong Gyoo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1D
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    • pp.211-217
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    • 2006
  • Growing urban areas modify patterns of local land use and land cover. Land use changes associated with urban expansion. One way to understand and document land use change and urbanization is to establish benchmark maps compiled from satellite imagery. Old satellite Imagery is useful data to extract urban information. CORONA is a photo satellite reconnaissance program used from 1960 to 1972 and its imagery was declassified and has been available to the public since 1995. Since CORONA images are collected with panoramic cameras, several types of geometric distortions are involved. In this study we proposed mathematical modeling method which use modified collinearity equations. After the geometric modeling, we mosaicked images. We can successfully extract urban boundaries using GLCM method and visual interpretation in CORONA (1972) and SPOT (1995) imagery and detect urban changes in Seoul quantitatively.

A Study on Replacing Method Global Illumination Using Ambient Occlusion (Ambient Occlusion을 이용한 Global Illumination 대체기법 연구)

  • Park, Jae-Wook;Kim, Yun-Jung
    • Cartoon and Animation Studies
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    • s.36
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    • pp.493-510
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    • 2014
  • From game consoles to TV and Hollywood films, 3D rendering technology is involved in various fields. Up until the late 90s, the computer image rendering method was rasterization that mainly used Phong Shading, and up until recently it was the go-to method for movies and film animation. In the 21st century, the quality provided by Ray Tracing and the development of Global Illumination was much more realistic and thus became popularized. However, despite its growing use in architectural rendering to the markets, Global Illumination in film animation and movies was limited due to its long render time. So, in this thesis, if one were to take the concept from each rendering method and consider it from a mathematical perspective, one could adapt the Ambient Occlusion's equation to the illumination loop equation used in rasterization. This algorithm modification has the capability to reflect the lighting of a diverse array of colors, like in Global Illumination, with a fast render time, as in rasterization, and the example RenderMan Shader is based upon this new algorithm. In conclusion, with Global Illumination's naturalistic lighting and rasterization's rendering speed, the combination of the best points of each is a new method with a short rendering time while producing good quality. I hope animations and films can benefit from this algorithm by the reduction of budget with an overall better quality output in VFX production.

A Two-Stage Learning Method of CNN and K-means RGB Cluster for Sentiment Classification of Images (이미지 감성분류를 위한 CNN과 K-means RGB Cluster 이-단계 학습 방안)

  • Kim, Jeongtae;Park, Eunbi;Han, Kiwoong;Lee, Junghyun;Lee, Hong Joo
    • Journal of Intelligence and Information Systems
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    • v.27 no.3
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    • pp.139-156
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    • 2021
  • The biggest reason for using a deep learning model in image classification is that it is possible to consider the relationship between each region by extracting each region's features from the overall information of the image. However, the CNN model may not be suitable for emotional image data without the image's regional features. To solve the difficulty of classifying emotion images, many researchers each year propose a CNN-based architecture suitable for emotion images. Studies on the relationship between color and human emotion were also conducted, and results were derived that different emotions are induced according to color. In studies using deep learning, there have been studies that apply color information to image subtraction classification. The case where the image's color information is additionally used than the case where the classification model is trained with only the image improves the accuracy of classifying image emotions. This study proposes two ways to increase the accuracy by incorporating the result value after the model classifies an image's emotion. Both methods improve accuracy by modifying the result value based on statistics using the color of the picture. When performing the test by finding the two-color combinations most distributed for all training data, the two-color combinations most distributed for each test data image were found. The result values were corrected according to the color combination distribution. This method weights the result value obtained after the model classifies an image's emotion by creating an expression based on the log function and the exponential function. Emotion6, classified into six emotions, and Artphoto classified into eight categories were used for the image data. Densenet169, Mnasnet, Resnet101, Resnet152, and Vgg19 architectures were used for the CNN model, and the performance evaluation was compared before and after applying the two-stage learning to the CNN model. Inspired by color psychology, which deals with the relationship between colors and emotions, when creating a model that classifies an image's sentiment, we studied how to improve accuracy by modifying the result values based on color. Sixteen colors were used: red, orange, yellow, green, blue, indigo, purple, turquoise, pink, magenta, brown, gray, silver, gold, white, and black. It has meaning. Using Scikit-learn's Clustering, the seven colors that are primarily distributed in the image are checked. Then, the RGB coordinate values of the colors from the image are compared with the RGB coordinate values of the 16 colors presented in the above data. That is, it was converted to the closest color. Suppose three or more color combinations are selected. In that case, too many color combinations occur, resulting in a problem in which the distribution is scattered, so a situation fewer influences the result value. Therefore, to solve this problem, two-color combinations were found and weighted to the model. Before training, the most distributed color combinations were found for all training data images. The distribution of color combinations for each class was stored in a Python dictionary format to be used during testing. During the test, the two-color combinations that are most distributed for each test data image are found. After that, we checked how the color combinations were distributed in the training data and corrected the result. We devised several equations to weight the result value from the model based on the extracted color as described above. The data set was randomly divided by 80:20, and the model was verified using 20% of the data as a test set. After splitting the remaining 80% of the data into five divisions to perform 5-fold cross-validation, the model was trained five times using different verification datasets. Finally, the performance was checked using the test dataset that was previously separated. Adam was used as the activation function, and the learning rate was set to 0.01. The training was performed as much as 20 epochs, and if the validation loss value did not decrease during five epochs of learning, the experiment was stopped. Early tapping was set to load the model with the best validation loss value. The classification accuracy was better when the extracted information using color properties was used together than the case using only the CNN architecture.

A Study on Batch-Type Remote Plasma Dry Cleaning Process for Native Oxide Removal (배치식 플라즈마 세정 설비를 이용한 자연산화막 제거 공정)

  • Park, Jae-Young;Yi, Wook-Yeol;Hyung, Yong-Woo;Nam, Seok-Woo;Lee, Hyeon-Deok;Song, Chang-Lyong;Kang, Ho-Kyu;Roh, Yong-Han
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.11a
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    • pp.247-251
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    • 2004
  • 반도체 소자의 제조에 있어 실리콘 표면에 성장한 자연산화막을 제거하기 위해 일반적으로 습식 세정 기술이 이용되어 왔다. 하지만 소자의 최소 선폭(design rule)이 nano급으로 고집적화 됨에 따라 contact hole 바닥의 자연산화막을 깨끗이 제거하는데 있어서 그 한계를 나타나고 있다. 이에 대한 효과적인 대안 공정으로 가스 건식 세정 기술이 연구되고 있다. 본 논문에서는 한 번에 50매 이상의 웨이퍼를 처리함으로써 생산성 측면에서 월등한 배치식 설비에서 원거리 플라즈마(remote plasma) 장치에서 2.450Hz의 마이크로웨이브(${\mu}$-wave)에 의해 형성시킨 수소라디칼과 $NF_3$ 가스를 이용하여 실리콘에 결함을 주지 않고 자연산화막을 선택적으로 제거하는 공정에 대해 고찰하였다. AFM을 이용한 표면분석, TEM을 이용한 물성분석, 그리고 ToF-SIMS 및 XPS를 이용한 화학 분석을 습식 및 건식 세정을 비교 평가한 결과, 건식 세정 공정이 실리콘 표면에 결함을 주지 않고 자연산화막을 제거 할 수 있음을 확인하였다. 산화막$(SiO_2)$, 질화막$(Si_3N_4)$, 그리고 다결정 실리콘(Poly-Si) 등의 각 막질별 식각 특성을 고찰하였으며, $NH_3$의 캐리어 가스인 $N_2$의 주입량을 조절함으로써 수소라디칼 형성 효율의 개선이 가능하였으며, 이로부터 게이트와 소스/드레인 사이를 절연하기 위해 이용되는 질화막의 식각 선택비를 2배 정도 개선할 수 있었다. nano급 소자에 실장하여 평가한 결과에서 불산(HF)에 의한 습식 세정 방식에 비하여 약 $20{\sim}50%$ 정도의 contact 저항 감소 효과가 있음이 확인되었다.두 소자 모두 $40mA/cm^2$ 에서 이상적인 화이트 발란스와 같은(0.33,0.33)의 색좌표를 보였다.epsilon}_0=1345$의 빼어난 압전 및 유전특성과 $330^{\circ}C$의 높은 $T_c$를 보였고 그 조성의 vibration velocity는 약4.5 m/s로 나타났다.한 관심이 높아지고 있다. 그러나 고 자장 영상에서의 rf field 에 의한 SAR 증가는 중요한 제한 요소로 부각되고 있다. 나선주사영상은 SAR 문제가 근원적으로 발생하지 않고, EPI에 비하여 하드웨어 요구 조건이 낮아 고 자장에서의 고속영상방법으로 적합하다. 본 논문에서는 고차 shimming 을 통하여 불균일도를 개선하고, single shot 과 interleaving 을 적용한 multi-shot 나선주사영상 기법으로 $100{\times}100$에서 $256{\times}256$의 고해상도 영상을 얻어 고 자장에서 초고속영상기법으로 다양한 적용 가능성을 보였다. 연구에서 연구된 $[^{18}F]F_2$가스는 친핵성 치환반응으로 방사성동위원소를 도입하기 어려운 다양한 방사성의 약품개발에 유용하게 이용될 수 있을 것이다.었으나 움직임 보정 후 영상을 이용하여 비교한 경우, 결합능 변화가 선조체 영역에서 국한되어 나타나며 그 유의성이 움직임 보정 전에 비하여 낮음을 알 수 있었다. 결론: 뇌활성화 과제 수행시에 동반되는 피험자의 머리 움직임에 의하여 도파민 유리가 과대평가되었으며 이는 이 연구에서 제안한 영상정합을 이용한 움직임 보정기법에 의해서 개선되었다. 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사고에 초점을 맞추어 개방형 문제가 확

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