Скачать или смотреть Unconstrained Optimization | Engineering Mathematics | PPT in description |

In this mini project presentation, we'll be discussing the concept of unconstrained optimization. we'll be providing a few examples of problems that can be solved using this approach, and we'll provide a brief overview of the mathematical concepts necessary to understand unconstrained optimization.

https://docs.google.com/presentation/...

If you're interested in learning more about unconstrained optimization, then this mini project presentation is for you! By the end of this presentation, you'll have a better understanding of the concept and be able to apply it to solve problems in your own engineering problems.

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Unconstrained optimization involves finding the maximum or minimum of a differentiable function of several variables over a nice set. To meet the complexity of the problems, computer algebra system can be used to perform the necessary calculations.

Nonlinear problems arise when the objective or constraints cannot be expressed as linear functions without sacrificing some essential nonlinear feature of the real world system. For example, the folded conformation of a protein molecule is believed to be the one that minimizes a certain nonlinear function of the distances between the nuclei of its component atoms—and these distances themselves are nonlinear functions of the positions of the nuclei. In finance, the risk associated with a portfolio of investments, as measured by the variance of the return on the portfolio, is a nonlinear function of the amounts invested in each security in the portfolio. In chemistry, the concentration of each chemical in a solution is often a nonlinear function of time, as reactions between chemicals usually take place according to exponential formulas.