Mathematica Tutorial: Notebooks And Documents - Wolfram Research

Notebooks and Documents 109Plus is a Flat function, so no grouping is necessary here.In[8]:= FullForm@a + b + c + dDOut[8]//FullForm= Plus@a, b, c, dDPower is not Flat, so the operands have to be grouped in pairs.In[9]:= FullForm@a^b^c^dDOut[9]//FullForm= Power@a, Power@b, Power@c, dDDDThe syntax of the Mathematica language is defined not only for characters that you can type ona typical keyboard, but also for all the various special characters that Mathematica supports.Letters such as g, and ¡ from any alphabet are treated just like ordinary English letters, andcan for example appear in the names of symbols. The same is true of letter-like forms such as, — and —.But many other special characters are treated as operators. Thus, for example, ⊕ and ù areinfix operators, while Ÿ is a prefix operator, and X and \ are matchfix operators.⊕ is an infix operator.In[10]:= a ⊕ b ⊕ c êê FullFormOut[10]//FullForm= CirclePlus@a, b, cDIn[11]:=µ is an infix operator which means the same as *.a µ a µ a µ b µ b µ cOut[11]= a 3 b 2 cSome special characters form elements of fairly complicated compound operators. Thus, forexample, Ÿ f „ x contains the compound operator with elements Ÿ and „.The Ÿ and „ form parts of a compound operator.In[12]:=‡ k@xD „x êê FullFormOut[12]//FullForm= Integrate@k@xD, xD