371 resultados para analytical solution


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A 4-degree-of-freedom single-input system and a 3-degree-of-freedom multi-input system are solved by the Coates', modified Coates' and Chan-Mai flowgraph methods. It is concluded that the Chan-Mai flowgraph method is superior to other flowgraph methods in such cases.

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The solitary-wavelike solution of the generalized Korteweg-de Vries equation with mixed nonlinearity is obtained. Two asymptotic cases of the solution have been discussed and solitary wave solutions have been derived.

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Synthesis of complex metal oxides by the thermal decomposition of solid-solution precursors (formed by isomorphous compounds of component metals) has been investigated since the method enables mixing of cations on an atomic scale and drastically reduces diffusion distances to a few angstroms. Several interesting oxides such as Ca2Fe03,5C, aCoz04,C a2C0205a, nd Ca,FeCo05 have been prepared by this technique starting from carbonate solid solutions of the type Ca,-,Fe,C03, Cal-,Co,C03, and Ca,-,,M,M'yC03 (M, M' = Mn, Fe, Co). The method has been extended to oxalate solid-solution precursors, and the possibility of making use of other kinds of precursor solid solutions is indicated.

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Kinetic information on the resinification of furfuryl alcohol has been derived from the rate of increase of color intensity measured with a photoelectric colorimeter, the resinification being carried out isothermally in Clark-Lubs aqueous buffer solutions in the pH range of 1.0-2.2. The activation energy for polymerization is found to increase exponentially with pH. The time required for emulsification (which is quickly followed by separation of resin layer) to occur in an aqueous solution of furfuryl alcohol also increases exponentially with pH, but it decreases exponentially with temperature. This is described quantitatively by a single expression.

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An iterative algorithm baaed on probabilistic estimation is described for obtaining the minimum-norm solution of a very large, consistent, linear system of equations AX = g where A is an (m times n) matrix with non-negative elements, x and g are respectively (n times 1) and (m times 1) vectors with positive components.

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The heat capacity Cp of the binary liquid system CS2 + CH3CN has been studied. This system has an upper critical solution temperature To ≈ 323.4 K and a critical mole fraction of CS2xo ≈ 0.5920. Measurements were made both for mixtures close to and far away from the critical region. The heat capacity of the mixture with x = xo exhibits a symmetric logarithmic anomaly around Tc, which is apparently preserved even for compositions in the immediate vicinity of xc. For compositions far away from xc, only a normal rise in Cp over the covered temperature range is observed.

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It is shown that a method based on the principle of analytic continuation can be used to solve a set of inhomogeneous infinite simultaneous equations encountered in the analysis of surface acoustic wave propagation along the periodically perturbed surface of a piezoelectric medium.

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Sufficient conditions for obtaining an equivalent linear model to classes of non-linear, bi-state, social interaction processes are derived. These parametric constraints, when satisfied, permit analytical determination of the dynamics of the non-linear process of social interaction.

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Ternary 3d-metal complexes of formulation [M(Tp(Ph))(py-nap)](ClO4)(1-3), where M is Co(II) (1), Cu(II) (2), and Zn(II) (3); Tp(Ph) is anionic tris (3-phenylpyrazolyl)borate; and py-nap is a pyridyl ligand with a conjugated 1,8-naphthalimide moiety, have been prepared from the reaction of metal perchlorate with KTp(Ph) and py-nap in CH2Cl2. The complexes have been characterized from analytical and physicochemical data. The complexes are stable in solution as evidenced from the electrospray ionization mass spectrometry data. The complexes show good binding propensity with calf thymus (CT) DNA, giving binding constant (K-b) values of similar to 10(5) M-1 and a molecular ``light-switch'' effect that results in an enhancement of the emission intensity of the naphthalimide chromophore on binding to CT DNA. The complexes do not show any hydrolytic cleavage of DNA. They show poor chemical nuclease activity in the presence of 3-mercaptopropionic acid or hydrogen peroxide (H2O2). The Co(II) and Cu(II) complexes exhibit oxidative pUC19 DNA cleavage activity in UV-A light of 365 rim. The Zn(II) complex shows moderate DNA photocleavage activity at 365 nm. The Cu(II)complex 2 displays photoinduced DNA cleavage activity in red light of 647.1 nm and 676 rim and near-IR light of >750 rim. A mechanistic studyin UV-A and visible light suggests the involvement of the hydroxyl radical as the reactive species in the DNA photocleavage reactions. The complexes also show good bovine serum albumin (BSA) protein binding propensity, giving K-BSA values of similar to 10(5) M-1. Complexes 1 and 2 display significant photoinduced BSA cleavage activity in UV-A light. The Co(II) complex 1 shows a significant photocytotoxic effect in HeLa cervical cancer cells on exposure to UV-A light of 365 nm, giving an IC50 value of 32 mu M. The IC50 value for the py-nap ligand alone is 41.42 mu m in UV-A light. The IC50 value is >200 mu M in the dark, indicating poor dark toxicity of 1. The Cu(II) complex 2 exhibits moderate photocytotoxicity and significant dark toxicity, giving IC50 values of 18.6 mu m and 29.7 mu m in UV-A light and in the dark, respectively.

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Abstract is not available.

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An error-free computational approach is employed for finding the integer solution to a system of linear equations, using finite-field arithmetic. This approach is also extended to find the optimum solution for linear inequalities such as those arising in interval linear programming probloms.

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The possible equivalence of second-order non-linear systems having quadratic and cubic damping with third-order linear systems is studied in this paper. It is shown that this equivalence can be established through transformation techniques under certain constraints on the form of the non-linearity of the given system.