• 제목/요약/키워드: ODE's

검색결과 41건 처리시간 0.019초

A NEW METHOD FOR SOLVING THE NONLINEAR SECOND-ORDER BOUNDARY VALUE DIFFERENTIAL EQUATIONS

  • Effati, S.;Kamyad, A.V.;Farahi, M.H.
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.183-193
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    • 2000
  • In this paper we use measure theory to solve a wide range of second-order boundary value ordinary differential equations. First, we transform the problem to a first order system of ordinary differential equations(ODE's)and then define an optimization problem related to it. The new problem in modified into one consisting of the minimization of a linear functional over a set of Radon measures; the optimal measure is then approximated by a finite combination of atomic measures and the problem converted approximatly to a finite-dimensional linear programming problem. The solution to this problem is used to construct the approximate solution of the original problem. Finally we get the error functional E(we define in this paper) for the approximate solution of the ODE's problem.

A NEW APPROACH FOR ASYMPTOTIC STABILITY A SYSTEM OF THE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

  • Effati, Sohrab;Nazemi, Ali Reza
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.231-244
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    • 2007
  • In this paper, we use measure theory for considering asymptotically stable of an autonomous system [1] of first order nonlinear ordinary differential equations(ODE's). First, we define a nonlinear infinite-horizon optimal control problem related to the ODE. Then, by a suitable change of variable, we transform the problem to a finite-horizon nonlinear optimal control problem. Then, the problem is modified into one consisting of the minimization of a linear functional over a set of positive Radon measures. The optimal measure is approximated by a finite combination of atomic measures and the problem converted to a finite-dimensional linear programming problem. The solution to this linear programming problem is used to find a piecewise-constant control, and by using the approximated control signals, we obtain the approximate trajectories and the error functional related to it. Finally the approximated trajectories and error functional is used to for considering asymptotically stable of the original problem.

셸리의 Ode to the West Wind에 나타난 서풍의 실체 (The real nature of the West Wind in Shelley's Ode to the West Wind)

  • 전웅주
    • 영어어문교육
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    • 제5호
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    • pp.259-272
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    • 1999
  • The real nature of the west wind in Shelley's Ode to the West Wind is the divine providence which influences all things in this world- that is, whether they are on land, in the sky, or in the sea. The divine providence is the manifestation of something beyond the present and tangibel object. In the first stanza, the real nature of the west wind in this poem is the wild wind, the breath of Autumn's being, the unseen presence, the azure sister of the Spring, a Destroyer, a Preserver, the winged seed, a creator, a philosopher, a poet, Shelley, and the wild spirit moving everywhere. In the second stanza, the real nature of the west wind in this poem is cloud, the angel of rain and lightning, fierce Maenad, the approaching storm, the congregated might, the black rain, the fire, hail, solid atmosphere, the tremendous power of revolutionary change, and the power that influences all things in the sky. In the third stanza, the real nature of the west wind in this poem is the voice that makes the oozy woods which wear the sapless foliage of the Atlantic, and the power makes the blue Mediterranean wake from his summer dream. the fit medium of expression which Shelley's soul was seeking for, Shelley's passion, Shelley's partner, Shelley's co-worker, and a strong presence which influences in the sea. In the fourth stanza, the real nature of the west wind in this poem is the mightest presence, the power, the strength, the free presence, the uncontrollable, the wanderer over heaven, a vision, the tameless, the swift, the proud and the God who can save Shelley form the heavy weight of hours and lift Shelley as a wave a leaf, a cloud. In the fifth stanza, the real nature of the west wind in this poem is the mighty harmony, the fierce Spirit, Shelley's spirit, the impetuous spirit, incanation of this verse, spark, the trumpet of a prophecy, the Providence which can make the Winter depart and call Spring, and the prophet. To conclude, the real nature of the west wind in this poem is Shelley's accumulated insight that he visulize his impulse of revolutionary thought.

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도시 정체성과 시공간 구조의 관계 -장률(張律)의 영화 <군산: 거위를 노래하다>를 중심으로 (Relationship between Urban Identity and Time and Space - Focusing on , Zhang Lu's Film)

  • 조명기
    • 대중서사연구
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    • 제27권3호
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    • pp.151-191
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    • 2021
  • 이 글은, 영화 <군산>이 재현하는 군산 도시 정체성의 내용은 무엇이며 구성 양상은 어떠한지, 그리고 이 도시 정체성 내용과 구성양상이 영화 서사의 구조와 어떻게 호응하는지를 살핀다. <군산>은 군산과 서울을 즉자적인 도시로 전제하는 동시에 상호 영향 관계에 의해 끊임없이 재구성되는 도시로 엮어낸다. 영화 서사 시간이 종료되는 서울은 다시 군산 여행을 위한 출발지로 전환되는데, 관객이 사후적으로 회귀하는 두 곳 즉 영화 서사 시간의 시작 지점 그리고 타이틀이 제시되는 지점이다. 이 영화의 여로형 서사 구조는 2차원의 평면적 원점회귀라기보다는 3차원의 입체적 나선형이다. <군산>은 이 나선형의 시공간적 구조 위에서 두 도시의 성격 그리고 도시 정체성의 선험성에 대해 형상화한다. 서울은 거대서사·집단기억과 미시서사·개인기억의 관계를 불가지한 것으로 단절시키는 도시, 관계·기억을 단절시키고 기억의 지속을 부정하는 도시다. 반면, 군산은 거대서사·집단기억과 미시 서사·개인기억이 공존하는 도시며, 단절의식·고립의식이 치유되고 상호 위로받는 도시다. 동시에 영화는 군산을 서울의 잉여, 대타적 공간으로 재현하는 한편 군산의 정체성을 확고하고 즉자적인 것으로도 그린다. 영화는 스토리와 서사구성의 상응을 통해, 군산과 서울을 역사적 단절과 지속이 교호하는 장(場), 상호대타적인 공간인 동시에 완고한 고유성의 공간으로 이해한다. 이 글은, 도시 정체성을 구성하는 시공간적 관계성과 영화 서사의 구조가 호응하는 양상을 살폈다는 데 의의가 있다.

The Synergism of Human Lactobacillaceae and Inulin Decrease Hyperglycemia via Regulating the Composition of Gut Microbiota and Metabolic Profiles in db/db Mice

  • Peifan Li;Tong Tong;Yusong Wu;Xin Zhou;Michael Zhang;Jia Liu;Yongxin She;Zuming Li;Yongli Li
    • Journal of Microbiology and Biotechnology
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    • 제33권12호
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    • pp.1657-1670
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    • 2023
  • This study aimed to evaluate the effects of Limosilactobacillus fermentum and Lactiplantibacillus plantarum isolated from human feces coordinating with inulin on the composition of gut microbiota and metabolic profiles in db/db mice. These supplements were administered to db/db mice for 12 weeks. The results showed that the Lactobacillaceae coordinating with inulin group (LI) exhibited lower fasting blood glucose levels than the model control group (MC). Additionally, LI was found to enhance colon tissue and increase the levels of short-chain fatty acids. 16S rRNA sequencing revealed that the abundance of Corynebacterium and Proteus, which were significantly increased in the MC group compared with NC group, were significantly decreased by the treatment of LI that also restored the key genera of the Lachnospiraceae_NK4A136_group, Lachnoclostridium, Ruminococcus_gnavus_group, Desulfovibrio, and Lachnospiraceae_UCG-006. Untargeted metabolomics analysis showed that lotaustralin, 5-hydroxyindoleacetic acid, and 13(S)-HpODE were increased while L-phenylalanine and L-tryptophan were decreased in the MC group compared with the NC group. However, the intervention of LI reversed the levels of these metabolites in the intestine. Correlation analysis revealed that Lachnoclostridium and Ruminococcus_gnavus_group were negatively correlated with 5-hydroxyindoleacetic acid and 13(S)-HpODE, but positively correlated with L-tryptophan. 13(S)-HpODE was involved in the "linoleic acid metabolism". L-tryptophan and 5-hydroxyindoleacetic acid were involved in "tryptophan metabolism" and "serotonergic synapse". These findings suggest that LI may alleviate type 2 diabetes symptoms by modulating the abundance of Ruminococcus_gnavus_group and Lachnoclostridium to regulate the pathways of "linoleic acid metabolism", "serotonergic synapse", and" tryptophan metabolism". Our results provide new insights into prevention and treatment of type 2 diabetes.

스토리텔링과 롤 플레이 기법을 통한 비즈니스 중국어 말하기 교육방안 탐색 - 드라마를 중심으로 - (A Study on the Educational Plan of Business Chinese Speaking by Using the Method of Storytelling and Role-play - Focused on Chinese Drama -)

  • 이효휘;이장패;박창언
    • 예술인문사회 융합 멀티미디어 논문지
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    • 제9권5호
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    • pp.273-280
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    • 2019
  • 이 연구는 드라마를 활용하여 비즈니스 중국어 말하기 교수-학습 방안을 모색한 것이다. 중국어를 모국어가 아닌 제2외국어로서 배우는 중급 수준의 학습자를 대상으로 드라마 이 가지는 교육적 가치를 밝히고 스토리텔링과 롤 플레이 기법을 채택하여 구체적이고 실용적인 중국어 말하기 교육방안을 제시하는 데 목적을 둔다. 드라마를 활용하여 중국어 말하기 교육을 할 때 다음 몇 가지 제언 제시하면, 첫째, 드라마를 통해 스토리텔링 등 다양한 기법을 적극적으로 적용하여 중국어 말하기 발음을 정확하게 교정할 수 있을 뿐만 아니라, 자신의 자유로운 중국어 구성하여 실현하기도 가능하다. 둘째, 중국어 교수·학습 자료로서의 드라마를 선정할 때 중국어 교육과정의 목적이나 목표에 알맞아야 하며, 학습자의 실제와 요구도 맞추어야 한다. 중국어 교수·학습 자료로서의 드라마는 언어 학습 활동을 다각적으로 반영할 수 있을 뿐만 아니라, 언어 학습과 문화 학습에 큰 변리를 제공해 줄 수 있다. 셋째, 중국어 교수·학습 자료로서의 드라마를 선정할 때 교사는 시대 발전에 따라 다양한 장르나 제재인 드라마를 합리적으로 활용하고 수업의 흥미나 재미를 유지하면서 드라마의 적극적인 교육적 가치를 충분히 발휘해야 한다.

THE BUCHSTAB'S FUNCTION AND THE OPERATIONAL TAU METHOD

  • Aliabadi, M.Hosseini
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.905-915
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    • 2000
  • In this article we discuss some aspects of operational Tau Method on delay differential equations and then we apply this method on the differential delay equation defined by $\omega(u)\;=\frac{1}{u}\;for\;1\lequ\leq2$ and $(u\omega(u))'\;=\omega(u-1)\;foru\geq2$, which was introduced by Buchstab. As Khajah et al.[1] applied the Recursive Tau Method on this problem, they had to apply that Method under the Mathematica software to get reasonable accuracy. We present very good results obtained just by applying the Operational Tau Method using a Fortran code. The results show that we can obtain as much accuracy as is allowed by the Fortran compiler and the machine-limitations. The easy applications and reported results concerning the Operational Tau are again confirming the numerical capabilities of this Method to handle problems in different applications.

Application of Opposition-based Differential Evolution Algorithm to Generation Expansion Planning Problem

  • Karthikeyan, K.;Kannan, S.;Baskar, S.;Thangaraj, C.
    • Journal of Electrical Engineering and Technology
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    • 제8권4호
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    • pp.686-693
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    • 2013
  • Generation Expansion Planning (GEP) is one of the most important decision-making activities in electric utilities. Least-cost GEP is to determine the minimum-cost capacity addition plan (i.e., the type and number of candidate plants) that meets forecasted demand within a pre specified reliability criterion over a planning horizon. In this paper, Differential Evolution (DE), and Opposition-based Differential Evolution (ODE) algorithms have been applied to the GEP problem. The original GEP problem has been modified by incorporating Virtual Mapping Procedure (VMP). The GEP problem of a synthetic test systems for 6-year, 14-year and 24-year planning horizons having five types of candidate units have been considered. The results have been compared with Dynamic Programming (DP) method. The ODE performs well and converges faster than DE.

NONLINEAR ANALYSIS OF SELF-EXCITED VIBRATION IN WHEELED TRACTOR VEHICLE'S DRIVELINE

  • Li, X.H.;Zhang, J.W.;Zeng, C.C.
    • International Journal of Automotive Technology
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    • 제7권5호
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    • pp.535-545
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    • 2006
  • A nonlinear analysis of torsional self-excited vibration in the driveline system for wheeled towing tractors was presented, with a 2-DOF mathematical model. The vibration system was described as a second-order ordinary differential equation. An analytical approach was proposed to the solution of the second-order ODE. The mathematical neighborhood concept was used to construct the interior boundary and the exterior boundary. The ODE was proved to have a limit cycle by using $Poincar\'{e}-Bendixson$ Annulus Theorem when two inequalities were satisfied. Because the two inequalities are easily satisfied, the self-excited vibration is inevitable and even the initial slip rate is little. However, the amplitude will be almost zero when the third inequality is satisfied. Only in a few working modes of the towing tractor the third inequality is not satisfied. It is shown by experiments that the torsional self-excited vibration in the driveline of the vehicle is obvious.