Mathematica Tutorial: Notebooks And Documents - Wolfram Research

Notebooks and Documents 67In StandardForm the same string would mean a product of terms.In[8]:=ToExpression@"fH6L", StandardFormDOut[8]= 6 fWhen TraditionalForm output is generated as the result of a computation, the actual collectionof boxes that represent the output typically contains special Interpretation objects orother specially tagged forms which specify how an expression can be reconstructed from theTraditionalForm output.The same is true of TraditionalForm that is obtained by explicit conversion fromStandardForm. But if you edit TraditionalForm extensively, or enter it from scratch, thenMathematica will have to try to interpret it without the benefit of any additional embeddedinformation.Short and Shallow OutputWhen you generate a very large output expression in Mathematica, you often do not want tosee the whole expression at once. Rather, you would first like to get an idea of the generalstructure of the expression, and then, perhaps, go in and look at particular parts in more detail.The functions Short and Shallow allow you to see “outlines” of large Mathematica expressions.Short@exprDShort@expr,nDShallow@exprDShallow@expr,8depth,length indicates the number of terms omitted.In[2]:=Short@tDOut[2]//Short= 1 + 12 x + 66 x 2 + 220 x 3 + 495 x 4 + á81à + 132 x y 10 + 66 x 2 y 10 + 12 y 11 + 12 x y 11 + y 12When Mathematica generates output in a textual format such as OutputForm, it first effectivelywrites the output in one long row. Then it looks at the width of text you have asked for, and itchops the row of output into a sequence of separate “lines”. Each of the “lines” may of course