![]() Physics :- Setup assumingusesAssume = false Physics :- Setup assumingusesAssume = true The variable a is inside the body of f the assumption that a > 0 is not effectively used when computing f(1). When using %assuming attention should be given to the order of precedence of operations: assuming and %assuming have higher precedence than the arithmetic operators. ∞Į3 ≔ ∫ 0 ∞ &ExponentialE − u x x 1 3 &DifferentialD x This evaluation can be performed under assumptions.Į3 ≔ Int exp − u x x 1 3, x = 0. Using the value command, you can evaluate an inert integral. Simplify subs x = − x, e2 assuming x :: ' posint ', y :: ' posint ' The assumptions are valid only during the computation of one input statement, and no assumptions are placed on the variables. Using the assuming command does not update e1. You can determine the value of an expression under the assumption that all its variables are real. In the latter case, to avoid a syntactic ambiguity, the entire condition, including the assuming clause, must be enclosed in parentheses.įind the square root of a 2 under the assumption that a is a positive, real constant. Īn assuming clause can be included in the condition of an if, elif, while, or until clause. Note: Computations performed using assuming do not affect computations performed before or after calling assuming. ![]() The property parameter can be a type, inequation, or other property to be assumed on a name or expression involving names. All of is, coulditbe, simplify, diff and int commands know about these %assuming structures, that can be activated when desired using the value command. This permits, for instance, to compute with different conditions on the same variable or expression, all appearing within the same worksheet, each of them represented by %assuming structures with different conditions. ![]() The expression %assuming property is the inert form of assuming and returns unevaluated, with the expression and the related assumptions encapsulated within the %assuming structure. The expression assuming property calling sequence evaluates the expression under the assumption property on all names in expression. Compute the value of an expression under assumptions, or represent that computation using the inert form '%assuming'
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