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SOLUTIONS
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Math & Counting Operations on Lists
Ordinary mathematical functions in Mathematica are always "listable", so that they are immediately applied in parallel across lists. Mathematica provides a wide variety of tightly integrated functions for analyzing elements in lists of any size and structure.
ReferenceReference
{..}+{..}, etc. — automatically operate in parallel on list elements
Listable — attribute carried by math functions specifying automatic threading over lists
Length — number of elements in a list
Total — total from adding up elements in a list
Accumulate ▪ Differences ▪ Ratios ▪ Fold
Count — count how many elements match a pattern
Tally — tally the number of copies of each distinct element
Max ▪ Min ▪ Commonest ▪ Sort ▪ SortBy ▪ Ordering
BinCounts — count the number of elements in a sequence of bins
Statistical Analysis »
Mean ▪ Variance ▪ Median ▪ Interpolation ▪ Nearest ▪ ...
Vector-Oriented Operations »
Dot ▪ Norm ▪ Normalize ▪ Projection ▪ ...
Set-Oriented Operations
Union ▪ Intersection ▪ Complement ▪ Subsets
