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**Contents:**

Title and Synopsis

Basics

Try It!

Elementary School

Middle and High School

Calculus

Combinatorics

Linear Algebra

Differential Equations

Other Advanced Topics

It's Not (Only) About Math!

More Examples (and Data!)

Less Is More

So Is It Perfect Yet?

What About Google?

Possible Implications

A Threat?

Resources

[Note: This article appears best using the Firefox browser.]

Wolfram|Alpha can count: "100!," "30 choose 18," "permutations of {a, b, c, d}" (keep clicking on More to see the complete list), "integer partitions of 10," or "fixed necklaces with 6 beads and 3 colors." It recognizes combinatorial functions such as "Bernoulli B(16)," "Frobenius number {4, 7, 12}," or Stirling numbers: "S1(8, 4)."

Wolfram|Alpha can give and compare properties of graphs: "Petersen graph, icosahedral graph." It can construct a graph based on adjacency properties: "1->2, 2->3, 3->1, 3->4, 4->1."

It works with sequences "1, 4, 9, 16, 25, ...," series "1/2+1/4+1/8+1/16+...," and recurrence relations "g(n+1) = n^2 + g(n)."

up[*Note:* Contents of frame come from
wolframalpha.com and are not maintained
by *Loci*]