• 제목/요약/키워드: complete solution

검색결과 793건 처리시간 0.027초

피혁 폐기물로부터 collagen 추출과 크롬이온 분리에 관한 연구 (A Study on the Extraction of Collagen and Separation of Chrome Ion from Leather Waste)

  • 임봉주;임남웅;임한진
    • 유기물자원화
    • /
    • 제6권1호
    • /
    • pp.43-52
    • /
    • 1998
  • 본 연구는 피혁 폐기물로부터 크롬 이온을 분리한 상태로 Collagen을 추출할 수 있는 최적 조건에 관한 것이다. Collagen 추출에 있어 온도, pH, 그리고 알칼리 용액 농도의 영향을 실험했다. 실험결과 점도측정에 의해 초기 변성온도는 $25^{\circ}C$, 완전 변성온도는 $31.5^{\circ}C$였다. Collagen 추출의 최적조건은 가용화 온도 $15^{\circ}C{\sim}20^{\circ}C$, pH 1.5, 알칼리 용액 3%였다. PH 1.5에서 크롬 이온이 거의 분리되었다. 탄닌 폐기물로부터 크롬 이온의 분리효율은 99.5% 이상이었다. 피혁 폐기물로부터 조단백질의 추출율은 89.%이었다. 추출된 조단백질내에 hydroxyprolne과 collagen의 함량은 각각 8.53%, 63.62%였다.

  • PDF

3-분할 문제의 상자 채우기-교환 알고리즘 (Bin Packing-Exchange Algorithm for 3-Partition Problem)

  • 이상운
    • 한국인터넷방송통신학회논문지
    • /
    • 제22권4호
    • /
    • pp.95-102
    • /
    • 2022
  • 본 논문은 NP-완전으로 다항시간 알고리즘이 알려져 있지 않은 3-분할 문제(TPP)에 대한 선형시간 알고리즘을 제안하였다. 본 논문은 기존에 알려진 다항시간 알고리즘인 최대-최소치와 제3의 숫자 합을 이용하는 MM법이 갖고 있는 해를 구하지 못하는 문제점을 개선한 역추적 법을 제안하였으며, 또한 역추적 법을 적용한 MM의 문제점도 개선하였다. 제안된 알고리즘은 내림차순 정렬된 S 집합을 3-분할하여 순방향, 역방향과 최대 여유량 순서인 최적합 배정 법으로 배정한 결과 10개 데이터 중 5개 데이터인 50.00%에 대해서는 최적 해를 찾을 수 있었다. 나머지 5개 데이터에 대해서도 최소 1회, 최대 7회의 잉여 상자와 부족 상자 간 숫자 교환으로 최적 해를 찾을 수 있는 성능을 보였다. 제안된 알고리즘은 n개 데이터를 3-분할한 m=n/3 보다도 적은 O(k)의 선형시간 수행 복잡도로 단순 배정과 교환 최적화를 수행하는 알고리즘으로 TPP가 NP-완전이 아닌 P-문제인 다항시간 알고리즘이 존재할 수 있음을 보였다.

포함-배제 원리를 적용한 집합피복 문제의 경쟁 알고리즘 (Competitive Algorithm of Set Cover Problem Using Inclusion-Exclusion Principle)

  • 이상운
    • 한국인터넷방송통신학회논문지
    • /
    • 제23권4호
    • /
    • pp.165-170
    • /
    • 2023
  • 본 논문은 지금까지 NP-완전 문제로 다항시간 알고리즘이 존재하지 않는 집합피복 문제에 대해 선형시간으로 해를 구할 수 있는 알고리즘을 제안하였다. 지금까지는 최대로 피복할 수 있는 집합을 선택하는 휴이스틱 탐욕 알고리즘만이 알려져 있다. 반면에 제안된 알고리즘은 최대 원소 수 2순위 또는 3순위까지의 노드들 k개를 대상으로 포함-배제 원리 규칙을 적용하여 N개의 노드 모두를 피복하는 피복집합을 구하고, 이들 중 최소 피복집합을 선택하는 경쟁 알고리즘이다. 제안된 알고리즘은 욕심쟁이 알고리즘이 최적 해를 얻지 못하는 단점을 보완하였다. 제안된 알고리즘을 다양한 응용 사례들에 적용한 결과 O(kn2)의 다항시간으로 최적 해를 얻었다.

Nonlinear semigroups on locally convex spaces

  • Hyeon, Son-Kuk
    • East Asian mathematical journal
    • /
    • 제6권1호
    • /
    • pp.111-121
    • /
    • 1990
  • Let E be a locally convex Hausdorff space and let $\Gamma$ be a calibration for E. In this note we proved that if E is sequentially complete and a multi-vaiued operaturA in E is $\Gamma$-accretive such that $D(A){\subset}Re$ (I+$\lambda$A) for all sufficiently small positive $\lambda$, then A generates a nonlinear $\Gamma$-contraction semiproup {T(t) ; t>0}. We also proved that if E is complete, $Gamma$ is a dually uniformly convex calibration, and an operator A is m-$\Gamma$-accretive, then the initial value problem $$\{{\frac{d}{dt}u(t)+Au(t)\;\ni\;0,\;t >0,\atop u(0)=x}\.$$ has a solution $u:[0,\infty){\rightarrow}E$ given by $u(t)=T(t)x={lim}\limit_{n\rightarrow\infty}(I+\frac{t}{n}A)^{-n}x$ each $x{\varepsilon}D(A)$.

  • PDF

PID 제어기의 주파수응답 기반 다목적 설계도구 (Frequency Response Based Multi-Objective Design Toolbox for PID Controller)

  • 김려화;임연수;김영철
    • 전기학회논문지
    • /
    • 제57권10호
    • /
    • pp.1869-1875
    • /
    • 2008
  • Recently, a direct data-driven synthesis of a proportional integral derivative(PID) controller for a linear time-invariant(LTI) plant was presented in [1]. The authors showed that a complete set of PID controllers achieving robust performance and stability can be calculated directly from frequency response(FR) data without an identified transfer function model. However, it is not convenient to use this method because it requires complicated numerical algorithms to find specific frequencies which are solutions of an identical equation. The method also requires determination of the boundary of the controller's parameters from a finite set of FR data. In this paper, we present the development of a user-friendly Matlab toolbox based on the method in [1]. This toolbox allows us to obtain a complete three-dimensional(3-D) graphical solution of PID controllers that meet multiple design objectives. Several examples are given to demonstrate the use of the toolbox.

Symmetrically loaded beam on a two-parameter tensionless foundation

  • Celep, Z.;Demir, F.
    • Structural Engineering and Mechanics
    • /
    • 제27권5호
    • /
    • pp.555-574
    • /
    • 2007
  • Static response of an elastic beam on a two-parameter tensionless foundation is investigated by assuming that the beam is symmetrically subjected to a uniformly distributed load and concentrated edge loads. Governing equations of the problem are obtained and solved by pointing out that a concentrated edge foundation reaction in addition to a continuous foundation reaction along the beam axis in the case of complete contact and a discontinuity in the foundation reactions in the case of partial contact come into being as a direct result of the two-parameter foundation model. The numerical solution of the complete contact problem is straightforward. However, it is shown that the problem displays a highly non-linear character when the beam lifts off from the foundation. Numerical treatment of the governing equations is accomplished by adopting an iterative process to establish the contact length. Results are presented in figures to demonstrate the linear and non-linear behavior of the beam-foundation system for various values of the parameters of the problem comparatively.

Dynamic response of a hinged-free beam subjected to impact at an arbitrary location along its span with shear effect

  • Zhang, Y.;Yang, J.L.
    • Structural Engineering and Mechanics
    • /
    • 제26권5호
    • /
    • pp.483-498
    • /
    • 2007
  • In case of considering the shear effect, the complete solutions are obtained for dynamic plastic response of a rigid, perfectly plastic hinged-free beam, of which one end is hinged and the other end free, subjected to a transverse strike by a travelling rigid mass at an arbitrary location along its span. Special attention is paid to new deformation mechanisms due to shear sliding on both sides of the rigid mass and the plastic energy dissipation. The dimensionless numerical results demonstrate that three parameters, i.e., mass ratio, impact position of mass, as well as the non-dimensional fully plastic shear force, have significant influence on the partitioning of dissipated energy and failure mode of the hingedfree beam. The shear effect can never be negligible when the mass ratio is comparatively small and the impact location of mass is close to the hinged end.

ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES WITH APPLICATION TO MOVING AVERAGE PROCESSES

  • Sung, Soo-Hak
    • 대한수학회보
    • /
    • 제46권4호
    • /
    • pp.617-626
    • /
    • 2009
  • Let {$Y_i$,-$\infty$ < i < $\infty$} be a doubly infinite sequence of i.i.d. random variables with E|$Y_1$| < $\infty$, {$a_{ni}$,-$\infty$ < i < $\infty$ n $\geq$ 1} an array of real numbers. Under some conditions on {$a_{ni}$}, we obtain necessary and sufficient conditions for $\sum\;_{n=1}^{\infty}\frac{1}{n}P(|\sum\;_{i=-\infty}^{\infty}a_{ni}(Y_i-EY_i)|$>$n{\epsilon})$<{\infty}$. We examine whether the result of Spitzer [11] holds for the moving average process, and give a partial solution.

Steady-State Solution for Solar Wind Electrons by Spontaneous Emissions

  • Kim, Sunjung;Yoon, Peter H.;Choe, G.S.
    • 천문학회보
    • /
    • 제41권1호
    • /
    • pp.44.2-44.2
    • /
    • 2016
  • The solar wind electrons are made of three or four distinct components, which are core Maxwellian background, isotropic halo, and super-halo (and sometimes, highly field-aligned strahl component which can be considered as a fourth element). We put forth a steady-state model for the solar wind electrons by considering both the steady-state particle and wave kinetic equations. Since the steady-state solar wind electron VDFs and the steady-state wave fluctuation spectrum are related to each other, we also investigate the complete fluctuation spectra in the whistler and Langmuir frequency ranges by considering halo- and superhalo-like model electron VDFs. It is found that the energetic electrons make important contributions to the total emission spectrum. Based on this, we complete the steady-state model by considering both the whistler and Langmuir fluctuations. In particular, the Langmuir fluctuation plays an important role in the formation and maintenance of nonthermal electrons.

  • PDF

𝜓-COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTIONS IN COMPLETE PARTIALLY ORDERED METRIC SPACE AND ITS APPLICATIONS

  • Das, Anupam;Hazarika, Bipan;Nashine, Hemant Kumar;Kim, Jong Kyu
    • Nonlinear Functional Analysis and Applications
    • /
    • 제26권2호
    • /
    • pp.273-288
    • /
    • 2021
  • We proposed to give some new 𝜓-coupled fixed point theorems using simulation function coupled with other control functions in a complete partially ordered metric space which includes many related results. Further we prove the existence of solution of a fractional integral equation by using this fixed point theorem and explain it with the help of an example.