作者机构:
[杨晓霖] Department of Mathematics, Mathematics and Physics College, Nanhua University, Hengyang 421001, China;[徐大] Depatment of Mathematics, Math. and Computer Science College, Hunan Normal University, Changsha 410081, China
关键词:
Air-conditioning;Analytic Hierarchy Process (AHP);Combined forecasting;Load
摘要:
Predicting the next-24-hour load in a building is essential for the optimal control of heating, ventilating and air-conditioning (HVAC) systems that use thermal/cool storage technology and also for cost and energy reduction of the non-storage systems. To fully integrate the advantages of several models and improve the accuracy of forecasting load, the application of the combined forecasting method to hourly load forecasting is presented in this paper. The method of Analytic Hierarchy Process (AHP) is employed to deduce the weights of each model. A case study shows that the combined forecasting model based on AHP may be better than the individual ones in predicting the building's hourly load for the future hours.
关键词:
Positive solution;Existence;Neutral differential equation;Fixed point
摘要:
Necessary and sufficient conditions for the existence and classification of positive solutions of the higher order neutral differential equations were obtained. Some lemmas were introduced which were useful in the proofs of the results. The results show that the higher order neutral differential equation has an eventually positive solution which converges to a positive constant.
摘要:
A new necessary and sufficient condition for the existence of eventually positive solutions was obtained for a class of odd-order neutral differential equations. Some lemmas were also introduced that were useful in the proof of main results. The obtained results indicate that neutral differential equation has no eventually positive solution.
期刊:
Journal of Applied Mathematics and Computing,2003年11(1-2):173-183 ISSN:1598-5865
通讯作者:
Li, X.
作者机构:
[Li, Xianyi] Department of Mathematics and Physics, Nanhua University, Hengyang, Human, P.R. China;[Zhou, Yong] Department of Mathematics, Xiangtan University, Xiangtan, Human, P.R. China
通讯机构:
Dept. of Mathematics and Physics, Nanhua University, China
关键词:
Classification;Existence of nonoscillatory solutions;Neutral difference equations
摘要:
In this paper, we give a classification of nonoscillatory solution of a second-order neutral delay difference equation of the form
$$\Delta ^2 (x_n - c_n x_{n - \tau } ) = f(n, x_{g_1 (n)} ,..., x_{g_m (n)} ).$$
Some existence results for each kind of nonoscillatory solutions are also established.
作者机构:
[Li, XY] School of Mathematics and Physics, Nanhua University, Hengyang 421001, China;[Li, XY; Zhu, DM] Department of Mathematics, East China Normal University, Shanghai 200062, China
通讯机构:
[Li, XY ] ;E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China.
摘要:
Oscillation properties of the solutions of a class of odd order neutral delay parabolic differential equations were investigated via the method of differential inequalities. Necessary and sufficient conditions for oscillation of odd order neutral delay parabolic differential equations were studied. Numerical method were used for the investigation .
期刊:
Journal of Chemical Information and Modeling,2002年42(3):524-528 ISSN:1549-9596
通讯作者:
Liu, YC
作者机构:
[Liu, YC] Nanhua Univ Hengyang, Dept Math & Phys Sci, Hunan 421001, Peoples R China.;Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.
通讯机构:
[Liu, YC] N;Nanhua Univ Hengyang, Dept Math & Phys Sci, Hunan 421001, Peoples R China.
摘要:
The graph-theoretic parameter that bas probably received the most attention over the years is the chromatic number. As is well-Known, the coloring problem is an NP-Complete problem. In this paper, it has been solved by means of molecular biology techniques. The algorithm is highly parallel and has satisfactory fidelity. This work shows further evidence for the ability of DNA computing to solve NP-Complete problems.
作者机构:
[Pan, LQ] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.;Nahua Univ, Inst Engn & Technol, Dept Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Pan, LQ] H;Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.
关键词:
DNA computing;Maximal clique problem;NP-complete problem
摘要:
The maximal clique problem is an NP (nondeterministic polynomial time)-complete problem. We present an algorithm that solves maximal clique problem within the framework of a surface-based model of computation. The time complexity of our algorithm is O(n2), and the number of kinds of short oligonucleotides needed to encode maximal clique problem is n + 3, where n is the size of the graph. In our algorithm, immobilizing DNA (deoxyribonucleic acid) strands to a solid surface reduces the possibility of error resulting from the loss of DNA strands in solution. A solution-based algorithm solving maximal clique problem has previously been proposed by Qi Ouyang et al.. In their algorithm, the number of enzyme is equal to the number of vertices of the graph, which causes the difficulty of encoding and scaling up, because the DNA sequences of restriction enzyme sites should not be present in otherwhere. Using surface-based model, we designed an algorithm for maximal clique problem, which needs only one enzyme.
作者机构:
[李先义; 王礼广] Department of Mathematics, College of Mathematics/Physics, Nanhua University, Hengyang 421001, China;[田泽荣] Department of Computer, Mathematics/Computer Science College, Hunan Normal University, Changsha 410081, China
期刊:
Journal of Chemical Information and Modeling,2002年42(3):529-533 ISSN:1549-9596
通讯作者:
Liu, YC
作者机构:
[Liu, YC] Nanhua Univ, Inst Engn & Technol, Dept Math & Phys Sci, Hengyang 421001, Hunan, Peoples R China.;Xinjiang Univ, Inst Math & Phys, Urumqi 830046, Xinjiang, Peoples R China.;Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Hubei, Peoples R China.
通讯机构:
[Liu, YC] N;Nanhua Univ, Inst Engn & Technol, Dept Math & Phys Sci, Hengyang 421001, Hunan, Peoples R China.
摘要:
Some 2-D and 3-D graphical representations of DNA sequences have been given by Nandy, Leong and Mogenthaler, and Randic et al., which give visual characterizations of DNA sequences. In this paper, we presented a novel graphical representation of DNA sequences by taking four special vectors in 2-D Cartesian coordinate system to represent the four nucleic acid bases in DNA sequences, so that a DNA sequence is denoted on a plane by a directed walk. It is shown that the new graphical representation of DNA sequences has lower or nondegeneracy.
摘要:
By means of one photon absorption laser-induced resonance fluorescence at 599.5 nm the relative concentrations of the amidogen (NH2) radical in the ammonia (NH3) radio-frequency (rf) plasma source were measured under different discharge pressures and rf powers. The time dependence of the fluorescence which comes from the radiation 101-211 of the P-branches of the Σ vibronic sub-bands can be described by a single-exponential decay. The decay time of NH2(A2A1) Σ (0, 9, 0) rovibronic state was determined. The spatial dependence of the NH2 density in the discharge tube was measured.