• Title/Summary/Keyword: Quadratic Form

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Effect of Community-Based 'Goal-Achieving Program' in Patient with Late-Life Depression : Preliminary Study (노인성 우울증 환자에서 지역사회 기반 '목표달성 프로그램'의 효용성 : 예비 연구)

  • Kang, Gyu Ha;Chang, Ki Jung;Lim, Hyun Kook;Han, Jin joo;Lee, Eun Hee;Roh, Hyun Woong;Noh, Jai Sung;Chung, Young Ki;Lim, Ki Young;Hong, Chang Hyung;Son, Sang Joon
    • Journal of Korean geriatric psychiatry
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    • v.21 no.1
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    • pp.35-40
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    • 2017
  • Objective : This study aimed to investigate the effect of community-based Goal-Achieving program in geriatric depressive symptoms preliminarily. Methods : We obtained data from elderly Korean subjects with major depressive disorder (n=51) aged 60 years or older at baseline, taking case management from community mental health center. Subjects were randomly assigned to intervention group (n=24) and control group (n=27). We investigated depressive symptoms through Short Form Geriatric Depression Scale-Korean version (SGDS-K) at baseline and every month for 3 months to all subjects. We tested interaction between group and time in SGDS-K score to evaluate the effect of program. And post hoc test examined between group differences of SGDS-K at each time points. Results : In quadratic linear mixed effects model analysis, interaction between group and time was statistically significant (Total SGDS-K score : coefficient=0.29, p<0.001 ; SGDS-K dysphoria subscale : 0.18, p<0.001 ; SGDS-K hopelessness subscale : 0.05, p=0.089 ; SGDS-K cognitive impairment subscale : 0.06, p=0.003). And significant between group difference was shown in post hoc test at time points of third month (SGDS-K score of control group : SGDS-K score of intervention group=$10.74{\pm}3.482$ : $7.25{\pm}4.475$, p=0.0184). Conclusion : These results may suggest that 'Community-based the Goal-Achieving program' has efficacy in reducing geriatric depressive symptoms.

A Study on Teaching the Method of Lagrange Multipliers in the Era of Digital Transformation (라그랑주 승수법의 교수·학습에 대한 소고: 라그랑주 승수법을 활용한 주성분 분석 사례)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.65-84
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    • 2023
  • The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

Transition of Rice Culture Practices during Chosun Dynasty through Old References V. Cultivation and Cropping Patterns (주요 고농서를 통한 조선시대의 도작기술 전개 과정 연구 V. 재배양식)

  • Lee, Sung-Kyum;Guh, Ja-Ok;Lee, Eun-Woong;Lee, Hong-Suk
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.37 no.1
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    • pp.104-115
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    • 1992
  • The rice culture techniques included 'Jodosukyungbeob'(旱稻水耕法 : culture techniques of early-ripening paddy rice), 'Mandosukyungbeob' (晩稻水耕法) : culture techniques of late-Ripening paddy rice 'Handobeob'(旱稻&lt;山稻&gt;法 : culture techniques of upland rice), 'Myojongbeob'(苗種法 : culture techniques of paddy rice by transplanting), 'Kunangbeob'(乾秧法 : culture techniques of rice by transplanting which rears seeding in dry paddy) and 'Sudogunpanongbeob'(水稻乾播農法 : culture techniques of paddy rice seeding in dry field). Especially, 'Kunangbeob' and 'Sudogunpanongbeob' were originally developed in Korea as seen in 1600s(Kyoungje : 經濟) and early 1800s (Yoji : 要旨). In 'Jodosukyungbeob' it took 9 days for seed dipping, water-sprouting and prevent damage by birds, each for 3 days in China, but in Korea seed dipping in water took 3 days and the rest of the procedures were flexibly established. In matured soils, practices were fall plowing right after harvest, recognition of effective tillering and additional fertilization use of human manure, and stimulation of sprouting by lime application. The unique culture techniques adequate for Korean situations were practiced, which included weed control after draining accurately for 3 to 4 times, draining at mid season for improving wind and drought tolerance, rice harvesting at appropriate time for preventing grain shattering, and seeding in rows. 'Mandosukyungbeob' was improved techniques contrast to those of China, and the major contents were selection of proper varieties, good stand establishment by seeding high rates, induction of vigorous tillers, and adoption of 'Jokjongbeob'(足種法 : seeding method by foot). Also, one of the most prominent rice cultures by our ancestors was 'Kunpanongbeob' that was systemized form habitual practice of Pyongan Province. The unique technique actualized was 'Hando [旱稻(山稻)]' culture technique which was the combinations of 'Jokjongbeob', root stimulation method, and disaster-tolerant mixture cropping with adoptation of variety theory, although it was originated from China. The transplanting techniques has come before 'Jikseol'($\ulcorner$直說$\lrcorner$) and its merits were sufficiently realized. However, this method was basically prohibited from the early Chosun dynasty because extremely bad harvest was expected under drought conditions and insufficient conditions of water storage. But, it was permitted in the areas that contained water all the times and in case of large-scale farming especially. Most of rice culture was transplanted in the end of the Chosun dynasty because transplanting was continuously spreaded in the three southern provinces of Korea. Under these circumstances, transplanting technique was improved from the early to the end of the Chosun dynasty by weed control, fertilizing, water management, and quadratic transplanting. Based on these techniques, agricultural productivity was improved 5 times by that time. 'Kunpanongbeob' was created and developed properly for Korean conditions that is dry in early season and flooding in late season. This was successively developed and established into transplanting technique of nursery seedling.

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