maple11_sheet1

# maple11_sheet1 - Maple 11 Cheat Sheet Syntax Ends a command...

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Unformatted text preview: Maple 11 Cheat Sheet Syntax ; Ends a command with a semicolon. e.g. 5+6; plot(x); : Suppresses the display of output by ending a command with a colon. Useful for lengthy outputs or loading packages. e.g. with(plots): 5000!: := Assigns an expression to a variable. e.g. a:=3; b:=a+x; assigns 3 to a and 3 + x to b . x:=’x’; unassigns the variable x . = Defines mathematical equations. e.g. y = x^2 + 3*x + 4; produces the equation y = x 2 + 3 x + 4. % Refers to the last result. n of the % symbols refers to the n th previous result. e.g. %%% gives the third previous presult. f :=( x , y ,...)->... Defines a function. e.g. f := (x,y) -> x^2+y^2; defines the function f ( x, y ) = x 2 + y 2 . f(0,1) evaluates f (0 , 1) = 0 2 +1 2 = 1. plot3d(f(x,y), x=0..1, y=0..1); plots the function. L :=[ x1 , x2 , ..., xn ] Defines a list (ordered sequence) L of expressions x 1 , x 2 , . . . , x n . Refer to the n th list item by L [ n ]. To extract the contents of a list, use the empty selection operator . e.g. A:=[1,2,3]; A[3]; returns 3. A returns 1,2,3. S: := { x1, x2, ..., xn } Defines a set S of expressions x 1 , x 2 , . . . , x n . Use the empty selection operator to extract the contents of a set. e.g. S:= { 5,3,3,2,1 } ; S; returns 1,3,4,5. ? topic Displays help on topic. All identifiers (variables and functions) are case sensitive . e.g. X is different from x . Pi and pi are different! In general, a function whose name begins with a capital letter is an inert form of the function who has the same name but begins with lower case. Inert functions are unevaluated and may be manipulated and printed in a prettyprinted format. e.g. Int(x,x); returns integraltext xdx and is the inert form of int(x,x); , which evaluates to x 2 / 2. Usages Right-click an expression to display a context-sensitive menu of applicable options. !!! Click the !!! icon to execute the entire worksheet. Useful when you have changed expressions that affect subsequent commands. Keyboard Shortcuts Enter Evaluate Ctrl + = Evaluate and display inline (Document Mode) Ctrl + Space Complete symbol/command F5 Toggle Math/Text entry (Document Mode) Toggle 2-D/1-D Math entry (Worksheet Mode) Ctrl + F1 Maple help Defined Constants Pi π ≈ 3 . 14159265 ... I complex number I = √- 1 infinity ∞ gamma Euler’s constant γ ≈ . 5772156649 ... Catalan Catalan’s constant ≈ . 915965594 ... exp(1) e ≈ 2 . 718281828 Commands General with( package ); Loads the specified Maple package. unassign( var ); Deletes a value stored in the given variable....
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maple11_sheet1 - Maple 11 Cheat Sheet Syntax Ends a command...

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