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- W2477830562 abstract "This chapter presents the formulation of physical problems. In the chapter, physical problems are classified into discrete and continuous, and a general formulation is given that covers both. In a physical problem, whether discrete or continuous, the state of the system can be described by variables, of which a set x 1 , x 2 ,…, x n , collectively represented by x j , is independent and a set u 1 , u 2 , …, u m , collectively represented by u i , is dependent. The region of the system is defined by the sets of all possible values that the x j can have. A particular set of allowable values of x j defines a point in the region. If at a point, with the remaining independent variables held constant, one of the x j can either be increased or decreased to another allowable value, the point is said to be in the interior of the region. If the variable can be decreased to another allowable value but an increase gives a value outside the prescribed range, or vice versa, then the point is on the boundary of the region. If the boundary points are deleted from the region, the remaining points constitute the domain. In discrete or lumped-parameter systems, some or all of the independent variables are often set equal to constants." @default.
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- W2477830562 date "1973-01-01" @default.
- W2477830562 modified "2023-09-26" @default.
- W2477830562 title "THE FORMULATION OF PHYSICAL PROBLEMS" @default.
- W2477830562 doi "https://doi.org/10.1016/b978-0-12-521650-0.50006-1" @default.
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