• 대한수학회보
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• 제59권6호
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• pp.1423-1438
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• 2022

In this paper, we study a special exhaustion function on almost Hermitian manifolds and establish the existence result by using the Hessian comparison theorem. From the viewpoint of the exhaustion function, we establish a related Schwarz type lemma for almost holomorphic maps between two almost Hermitian manifolds. As corollaries, we deduce several versions of Schwarz and Liouville type theorems for almost holomorphic maps.

• International Journal of Control, Automation, and Systems
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• 제5권1호
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• pp.70-78
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• 2007

We prove that TCP Vegas globally converges to its equilibrium point in finite time assuming no feedback information delay. We analyze a continuous-time TCP Vegas model with discontinuity and high nonlinearity. Using the upper right-hand derivative and applying the comparison lemma, we cope with the discontinuous signum function in the TCP Vegas model; using a change of state variables, we deal with the high nonlinearity. Although we ignore feedback information delay in analyzing the model of TCP Vegas, the simulation results illustrate that TCP Vegas in the presence of feedback information delay shows very similar dynamic trends to TCP Vegas without feedback information delay. Consequently, dynamic properties of TCP Vegas without feedback information delay can be used to estimate those of TCP Vegas in the presence of feedback information delay.

• 제어로봇시스템학회논문지
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• 제13권3호
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• pp.187-191
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• 2007

We analyze the stability property of a class of nonlinear time-delay systems. We show that the state variable is bounded both below and above, and the lower and upper bounds of the state are obtained in terms of a system parameter by using the comparison lemma. We establish a time-delay independent sufficient condition for the global asymptotic stability by employing a Lyapunov-Krasovskii functional obtained from a change of the state variable. The simulation results illustrate the validity of the sufficient condition for the global asymptotic stability.

• Asian-Australasian Journal of Animal Sciences
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• 제14권7호
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• pp.986-993
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• 2001

In balance experiments with rats either 25 or 50% of the casein protein in the control diet was replaced with one of the following eight sun-dried tropical biomass products: water spinach plants (WS) (Ipomoea aquatica Forsk), leucaena leaves (LL) (Leuceana leucocephala), duckweed plants (DW) (Lemma minor L.), groundnut foliage (OF) (Arachis hypogaea L.), trichantera leaves (Tric) (Trichantera gigantea), indicago leaves (Ind) (Indigofera hirsuta), mungbean foliage (Mb) (Phaseolus aureus), and cassava leaves (CL) (Manihot esculenta Crantz). The experiment included 102 rats with six individuals per treatment group. In three of the 16 biomass treatment groups, feed intake and weight gain of the rats were unacceptably low, and therefore they were excluded from the statistical evaluation, The crude protein (CP) content of the biomass products varied between 20.9% (Tric) and 33.2% (DW), whereas the content of NDF varied between 18.5% (Ind) and 32.2% (DW) of dry matter (DM). The total content of essential amino acids (g/16 g N) was comparable with that of alfalfa meal, except for GF and Tric, which were inferior. Between plant species, differences in dietary digestibility of organic matter (dOM) and CP (dCP) were observed (p<0.001). Also, the replacement level negatively influenced dOM and dCP (p<0.001). The lowest values for dOM (p<0.001) were observed for diets including biomass products with the highest content of NDF (OF, Tric, Mb, LL). Digestibility of CP was negatively affected by level of protein replacement. Significant (p<0.001) differences were found in N-retention and biological value among diets with different biomass products. The most favourable overall results were obtained for DW, WS and CL. The main factors affecting the nutritive value of the diets tested were their NDF content, dCP and AA profile of the biomass. Also antinutritive component(s) may have influenced the process of digestion and metabolism of some of the biomass products.

• 한국작물학회지
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• 제42권5호
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• pp.503-514
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• 1997

벼 다수성 통일계 밀양 2003와 일본형 품종 고시히카리를 1/5000a 포트에 담수조건으로 재배하여, 유수시원체 분화기의 전후로부터 출수 직전까지 연속적으로 주경을 채취하여 유수와 영화의 발달을 Cryo-SEM을 이용 관찰하였다. 1. 생식상으로 이행한 경정은 후드상의 지엽시원체 반대편 위쪽에 제1포엽시원체가 분화되었고, 그 상부에 1차지경시원체가 포시원세포층의 분화와 함께 향정적으로 분화 융기하였는데, 최상위의 1차지경시원체가 분화종료 후 유수의 생장점은 발육이 정지하여 퇴화하는 경우가 보여졌다. 2. 1차지경 시원체수가 분화 종료되면, 늦게 분화된 상위 1차지경시원체의 기부로부터 빠르게 신장 발육하면서 배축면에 2열 호생적으로 2차 지경과 소지경 시원체를 분화하였고, 각각의 지경 및 소지경은 발육을 계속하여 영화시원체를 분화발달시켰다. 3. 1, 2차지경 시원체의 분화 징후는 기부에서 포엽 또는 포모가 되는 포시원세포의 분화융기로부터 시작되었으며, 각 지경시원체는 포모 또는 포엽에 액생하는 형식으로 착생하였다. 4. 1수내 위치별 영화의 발육순서는 상위 1차지경의 정단부 영화일수록 빠랐으며, 하위1차지경의 기부측 2차지경의 영화일수록 느렸는데, 약 7∼10일 정도 발육의 차이가 있었다. 또한 각 1차지경 및 2차지경의 영화에서는 정단에서 2번째 영화의 발육이 느리고 그 크기도 작았다. 5. 유수와 영화의 기본적인 분화 발달과정은 두 품종에서 유사한 양상을 나타냈으나, 밀양 2003는 1차지경 시원체수가 고시히카리보다 2개 정도 많이 분화되었고, 중하위 1차지경에서는 많은 2차시경시원체가 분화하는 경향이었는데, 일부의 2차지경에서는 3차지경시원체와 3차지경으로부터 영화 시원체의 분화가 관찰되었다. 또한 유수의 크기는 전 유수발달기를 통하여 항상 밀양 2003가 고시히카리보다 컸다.