Recursion
... • A Java method can call itself due to: – Java’s allocation of new memory locations for all method arguments and local variables as each method is called ...
... • A Java method can call itself due to: – Java’s allocation of new memory locations for all method arguments and local variables as each method is called ...
Student
... Descartes used such problems to demonstrate the power of his method of “Transform—Solve—Invert,” whereby an algebraic problem is turned into a geometrical problem in his “new” coordinate geometry, solved as a geometry problem, and with a solution that can then expressed algebraically. Was an importa ...
... Descartes used such problems to demonstrate the power of his method of “Transform—Solve—Invert,” whereby an algebraic problem is turned into a geometrical problem in his “new” coordinate geometry, solved as a geometry problem, and with a solution that can then expressed algebraically. Was an importa ...
May 2015
... (b) Show that the statement (a) is false if the condition “absolutely continuous” is replaced by “m-a.e. differentiable on X with f 0 ∈ L1 (X, m)”. (8) Let (X, M, µ) be a measure space where µ is positive and σ-finite. (a) Suppose 1 ≤ p < ∞. Prove that weak limits in Lp (X, µ) are unique. In other w ...
... (b) Show that the statement (a) is false if the condition “absolutely continuous” is replaced by “m-a.e. differentiable on X with f 0 ∈ L1 (X, m)”. (8) Let (X, M, µ) be a measure space where µ is positive and σ-finite. (a) Suppose 1 ≤ p < ∞. Prove that weak limits in Lp (X, µ) are unique. In other w ...
en_7-40A
... and production rate of oil wells by gas lift method is considered. Under certain natural assumptions, the general problem is reduced to the linear quadratic control problem ( LQCP) that allows one to find program controls and trajectories on which optimal regulator is constructed over the whole or a ...
... and production rate of oil wells by gas lift method is considered. Under certain natural assumptions, the general problem is reduced to the linear quadratic control problem ( LQCP) that allows one to find program controls and trajectories on which optimal regulator is constructed over the whole or a ...
Exact two waves solutions with variable amplitude to the
... [4] M. Nivala, B. Deconinck. Periodic finite-genus solutions of the KdV equation are orbitally stable. Physic D, 239(2011),1147-1158. [5] Y.Yamamoto, T. Nagase, M.Ohmiya, Appell’s lemma and conservation laws of KdV equation,Journal of Computational and Applied Mathematics, 233(2010),16121618. [6] N. ...
... [4] M. Nivala, B. Deconinck. Periodic finite-genus solutions of the KdV equation are orbitally stable. Physic D, 239(2011),1147-1158. [5] Y.Yamamoto, T. Nagase, M.Ohmiya, Appell’s lemma and conservation laws of KdV equation,Journal of Computational and Applied Mathematics, 233(2010),16121618. [6] N. ...
On the rate of convergence in homogenization of
... where (x, p) is fixed in R2N . Here and henceforth BUC(RN ) denotes the space of all bounded, uniformly continuous functions on RN . Indeed (see [12] and [9, 10]), there is a unique value λ = λ(x, p) of the real constant λ for which (CP) has a bounded solution v = v(ξ; x, p). The effective Hamiltoni ...
... where (x, p) is fixed in R2N . Here and henceforth BUC(RN ) denotes the space of all bounded, uniformly continuous functions on RN . Indeed (see [12] and [9, 10]), there is a unique value λ = λ(x, p) of the real constant λ for which (CP) has a bounded solution v = v(ξ; x, p). The effective Hamiltoni ...
HW 2 solutions
... the left of the zero displacement position at this time. From part (b), we see that v is also negative at t = 1.45 s, meaning that the body is moving toward the negative end of the x-axis. If the body is located to the left of the equilibrium (zero displacement) position moving toward the negative e ...
... the left of the zero displacement position at this time. From part (b), we see that v is also negative at t = 1.45 s, meaning that the body is moving toward the negative end of the x-axis. If the body is located to the left of the equilibrium (zero displacement) position moving toward the negative e ...
Analytical Solutions to Fragmentation Equations with Flow
... systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple breakup rates. We consider both continuous and discrete systems. The population balance equation PBE for continuous breakup processes, such as droplet breakup, have been considered ofte ...
... systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple breakup rates. We consider both continuous and discrete systems. The population balance equation PBE for continuous breakup processes, such as droplet breakup, have been considered ofte ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.