By Jack-Michel Cornil, Philippe Testud, T. Van Effelterre
MAPLE is a working laptop or computer algebra method which, due to an in depth library of subtle capabilities, permits either numerical and formal computations to be played. till lately, such platforms have been in simple terms on hand to expert clients with entry to mainframe desktops, however the quick development within the functionality of private pcs (speed, reminiscence) now makes them available to nearly all of clients. the newest types of MAPLE belong to this new new release of platforms, permitting a growing to be viewers of clients to get to grips with laptop algebra. This paintings doesn't got down to describe the entire chances of MAPLE in an exhaustive demeanour; there's already loads of such documentation, together with broad on-line support. notwithstanding, those technical manuals supply a mass of knowledge which isn't consistently of serious support to a newbie in computing device algebra who's trying to find a brief way to an issue in his personal speciality: arithmetic, physics, chemistry, and so forth. This ebook has been designed in order that a scientist who needs to take advantage of MAPLE can locate the data he calls for fast. it really is divided into chapters that are principally self sufficient, every one being dedicated to a separate topic (graphics, differential equations, integration, polynomials, linear algebra, ... ), permitting each one person to be aware of the features he fairly wishes. In every one bankruptcy, intentionally easy examples were given with a purpose to absolutely illustrate the syntax used.
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Additional info for An Introduction to Maple V
If t is a free variable, such a command gives rise to an infinite loop and to a stack overflow upon evaluating t. 5 Use of Apostrophes: Partial Evaluation We showed before that when x contains a given numerical value, the assignment Q: =x-3+1 assigns Q a numerical value. 3, or • a second method using apostrophes. 2 Assignment and Evaluation 21 In this example, the apostrophes prevent the full evaluation of the righthand-side of the last assignment, which causes Q to be assigned an expression in the variable x.
5), which explains the error message. 28 i; 2 > i:='i'; sum(i-2,i=1 .. 5); [ i := 'i' 55 or apostrophes can be used to prevent the evaluation of the arguments of the function. 5);55 i:= 2 A few functions don't evaluate their arguments or only evaluate them partially. This is true of the function seq, for example. 30 restart; i:=2; seq(i-2,i=1 .. 3 Fundamental Operations MAPLE is designed to keep expressions in the form in which they are initially encountered. It only executes the bare minimum of transformations on its own initiative.
20 x:= 3 13 20 2. Introduction Now, if the variable x is unassigned by the assignment x: =' x' , the evaluation of P returns the initial expression in x. 21 [> x:='x': P; x:='x' is followed by : to avoid a useless echo The full evaluation rule must take care of circular references. e. if t is a free variable, such a command gives rise to an infinite loop and to a stack overflow upon evaluating t. 5 Use of Apostrophes: Partial Evaluation We showed before that when x contains a given numerical value, the assignment Q: =x-3+1 assigns Q a numerical value.
An Introduction to Maple V by Jack-Michel Cornil, Philippe Testud, T. Van Effelterre