Mathematica Tutorial: Notebooks And Documents - Wolfram Research

108 Notebooks and DocumentsExtensions of symbol namesFunction application variantsPower-related operatorsMultiplication-related operatorsAddition-related operatorsRelational operatorsArrow and vector operatorsLogic operatorsPattern and rule operatorsPure function operatorAssignment operatorsCompound expressionx_ , Ò2 , e::s , etc.e@eD , eüüe , etc., e , e^e , etc.“e , eêe , e ⊗e , ee , etc.e ⊕e , e+e , e ‹e , etc.e==e , e~e , eae , e2e , eœe , etc.eöe , eâe , eFe , e) e , etc." e e , e&&e , eÍe , e¢e , etc.e.. , e e , e->e , eê.e , etc.e&e=e , e:=e , etc.e;eOutline of operators in order of decreasing precedence.The table in "Operator Input Forms" gives the complete ordering by precedence of all operatorsin Mathematica. Much of this ordering, as in the case of * and +, is determined directly bystandard mathematical usage. But in general the ordering is simply set up to make it less likelyfor explicit parentheses to have to be inserted in typical pieces of input.Operator precedences are such that this requires no parentheses.In[5]:= " x $ y x ⊗ y ê y Ï m ≠ 0 fl n E mOut[5]= Implies@" x H$ y x ⊗ y ê yL && m ≠ 0, n E mDIn[6]:=FullForm shows the structure of the expression that was constructed.FullForm@%DOut[6]//FullForm= Implies@And@ForAll@x, Exists@y, Succeeds@CircleTimes@x, yD, yDDD, Unequal@m, 0DD,NotRightTriangleBar@n, mDDIn[7]:=Note that the first and second forms here are identical; the third requires explicit parentheses.8x -> Ò^2 &, Hx -> Ò^2L &, x -> HÒ^2 &L