Solutions - Math TAMU
... Solution. The correct answer is x = 0, 2. The derivative at a point on the curve is the slope of the tangent line to the curve at that point. So we need to look for places on the graph where the slope of the tangent line is undefined. Probably the easiest place to see that this occurs is at x = 2, w ...
... Solution. The correct answer is x = 0, 2. The derivative at a point on the curve is the slope of the tangent line to the curve at that point. So we need to look for places on the graph where the slope of the tangent line is undefined. Probably the easiest place to see that this occurs is at x = 2, w ...
Brocard`s Problem 4th Solution Search Utilizing Quadratic Residues
... Diophantine equation n! + 1 = m2 beyond n = 4, 5 and 7. In 1935, Hansraj Gupta2 claimed that calculations of n! up to n = 63 gave no further solutions. In 2000, Bruce Berndt and William Galway3 performed the first extensive computer search for a solution with n up to 109 but found none. The purpose ...
... Diophantine equation n! + 1 = m2 beyond n = 4, 5 and 7. In 1935, Hansraj Gupta2 claimed that calculations of n! up to n = 63 gave no further solutions. In 2000, Bruce Berndt and William Galway3 performed the first extensive computer search for a solution with n up to 109 but found none. The purpose ...
title - VideoLectures.NET
... decision and data-analysis problems. Related to DS, we define the concepts of decision problem and decision-making, introduce the taxonomy of disciplines related to DS, overview the approach of decision analysis, introduce the method of multi-attribute modeling, and illustrate it through real-life e ...
... decision and data-analysis problems. Related to DS, we define the concepts of decision problem and decision-making, introduce the taxonomy of disciplines related to DS, overview the approach of decision analysis, introduce the method of multi-attribute modeling, and illustrate it through real-life e ...
02.08-text.pdf
... This is one of the more difficult sections in the text, yet also laden with fruitful ideas. Its content, in grand scope, is the following: • For many 1st-order initial value problems y1 “ f pt, yq, ypt0 q “ y0 , ...
... This is one of the more difficult sections in the text, yet also laden with fruitful ideas. Its content, in grand scope, is the following: • For many 1st-order initial value problems y1 “ f pt, yq, ypt0 q “ y0 , ...
Optimization Techniques
... Optimization problems can be defined without any constraints as well. Such problems are called unconstrained optimization problems. ...
... Optimization problems can be defined without any constraints as well. Such problems are called unconstrained optimization problems. ...
Kuhn-Tucker theorem foundations and its application in
... revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that accompanies a value which is a measure of quality. In mathematics Kuhn-Tucker condit ...
... revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that accompanies a value which is a measure of quality. In mathematics Kuhn-Tucker condit ...
Finding region of xy plane for which differential
... y′ = f (x, y) = , and in both regions, f and = are continuous, so and according to a well known x ∂y x theorem, D and D′ are solutions to your question. In each of the regions ...
... y′ = f (x, y) = , and in both regions, f and = are continuous, so and according to a well known x ∂y x theorem, D and D′ are solutions to your question. In each of the regions ...
Determining Optimal Parameters in Magnetic
... a feedback control law that, besides measures of the geomagnetic field, requires measures of attitude only. This work shows that attitude stabilization is achieved when the design parameters have certain properties (e.g., they are positive). However, the practical determination of appropriate values ...
... a feedback control law that, besides measures of the geomagnetic field, requires measures of attitude only. This work shows that attitude stabilization is achieved when the design parameters have certain properties (e.g., they are positive). However, the practical determination of appropriate values ...
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.