Preliminary review / Publisher`s description: This self
... The main tools in Step 1 are the classical Weierstrass theorem (applied to some bounded non-empty sublevel set) and its extension to coercive functions. Step 2 is based upon the so-called Fermat-Lagrange principle (i.e., conditions of multiplier type), for finite-dimensional optimization problems, a ...
... The main tools in Step 1 are the classical Weierstrass theorem (applied to some bounded non-empty sublevel set) and its extension to coercive functions. Step 2 is based upon the so-called Fermat-Lagrange principle (i.e., conditions of multiplier type), for finite-dimensional optimization problems, a ...
Exact Solutions of Time-Fractional KdV Equations by Using
... Fig. 2. Two dimensional graph of the solution (19) corresponding to the values α =0.05,α =0.95 from left to right when k = 1, − 8 < x < 8, t = 1. ...
... Fig. 2. Two dimensional graph of the solution (19) corresponding to the values α =0.05,α =0.95 from left to right when k = 1, − 8 < x < 8, t = 1. ...
THE MILLENIUM PROBLEMS The Seven Greatest Unsolved
... After three thousand years of intellectual development, what are the limits of our mathematical knowledge? To benefit from this seminar, all you need by way of background is a good high school knowledge of mathematics. But on its own, that won’t be enough. You will also need sufficient interest in ...
... After three thousand years of intellectual development, what are the limits of our mathematical knowledge? To benefit from this seminar, all you need by way of background is a good high school knowledge of mathematics. But on its own, that won’t be enough. You will also need sufficient interest in ...
The г-Gather Problem in the Euclidean Space
... devices. One common practice in the treatment of these location data is to adopt the k-anonymity criterion [5], which says that the locations are grouped into clusters, each of at least k points. The cluster is used to replace individual locations such that any one user is not differentiated from k ...
... devices. One common practice in the treatment of these location data is to adopt the k-anonymity criterion [5], which says that the locations are grouped into clusters, each of at least k points. The cluster is used to replace individual locations such that any one user is not differentiated from k ...
Lecture Note – 1
... Duality of LP problems Each LP problem (called as Primal in this context) is associated with its counterpart known as Dual LP problem. Instead of primal, solving the dual LP problem is sometimes easier when a) the dual has fewer constraints than primal (time required for solving LP problems is direc ...
... Duality of LP problems Each LP problem (called as Primal in this context) is associated with its counterpart known as Dual LP problem. Instead of primal, solving the dual LP problem is sometimes easier when a) the dual has fewer constraints than primal (time required for solving LP problems is direc ...
APPROXIMATE SOLUTIONS OF SINGULAR DIFFERENTIAL
... Yiming Chen used Bernstein polynomials to find Numerical solution for the variable order linear cable equation [8]. Rostamy used a new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems [9]. In the present paper, we use Bernstein op ...
... Yiming Chen used Bernstein polynomials to find Numerical solution for the variable order linear cable equation [8]. Rostamy used a new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems [9]. In the present paper, we use Bernstein op ...
Analytic Solution of Euler`s Equations of Motion for an Asymmetric
... development of analytic solutions that can describe | at least qualitatively | the problem dynamics. The system of the associated equations, the celebrated Euler's equations of motion for a rigid body, consists of three nonlinear, coupled di erential equations, the complete, general, solution of whi ...
... development of analytic solutions that can describe | at least qualitatively | the problem dynamics. The system of the associated equations, the celebrated Euler's equations of motion for a rigid body, consists of three nonlinear, coupled di erential equations, the complete, general, solution of whi ...
Flux-based level set method on rectangular grids and computation
... free parameter in the definition of piecewise linear reconstruction. A significant improvement of the accuracy can be obtained by special choices of this parameter for two benchmark examples of linear conservation laws. Moreover, the flux-based level set method can be used for computation of first a ...
... free parameter in the definition of piecewise linear reconstruction. A significant improvement of the accuracy can be obtained by special choices of this parameter for two benchmark examples of linear conservation laws. Moreover, the flux-based level set method can be used for computation of first a ...
Say-Ask-Check for Word Problems for the KIDS
... will reread the problem if I don’t problem understand it.” Ask: “Now that I have read the problem, do I fully understand it?” Check: “I understand the problem and will move forward.” 2. Paraphrase Say: “I will restate the problem in my own words.” the problem Ask: “Can I pull out the important infor ...
... will reread the problem if I don’t problem understand it.” Ask: “Now that I have read the problem, do I fully understand it?” Check: “I understand the problem and will move forward.” 2. Paraphrase Say: “I will restate the problem in my own words.” the problem Ask: “Can I pull out the important infor ...
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.