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SOLUTIONS
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Functions
- And
- Binomial
- BitAnd
- BitXor
- BooleanFunction
- BooleanMinimize
- CellularAutomaton
- Complement
- ContinuedFractionK
- DifferenceDelta
- Factorial
- Fibonacci
- FindMinimum
- FindSequenceFunction
- FindShortestTour
- FiniteGroupCount
- FiniteGroupData
- GeneratingFunction
- GraphData
- GraphPlot
- GraphPlot3D
- GroupElementQ
- GroupElements
- GroupOrder
- IntegerDigits
- IntegerPartitions
- Intersection
- KnotData
- LatticeData
- LayeredGraphPlot
- LinearRecurrence
- Minimize
- Or
- Ordering
- PartitionsP
- PermutationGroup
- Permutations
- RandomSample
- RecurrenceTable
- ReplaceList
- RSolve
- SatisfiableQ
- Signature
- Sort
- StirlingS1
- StringReplaceList
- Subsets
- Sum
- TreePlot
- Tuples
- TuringMachine
- Union
- ZTransform
- Related Guides
- Tutorials
Discrete Mathematics
Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original algorithms together with its high-level symbolic language has made it a unique environment for the exploration, development, and application of discrete mathematics.
ReferenceReference
List and Set Operations
Tuples ▪ Subsets ▪ Union ▪ Intersection ▪ Complement
Permutations »
Permutations ▪ Sort ▪ Ordering ▪ Signature ▪ RandomSample ▪ ...
Group Theory »
PermutationGroup ▪ GroupOrder ▪ GroupElements ▪ GroupElementQ ▪ ...
Enumeration-Related Functions »
Factorial ▪ Binomial ▪ Fibonacci ▪ StirlingS1 ▪ PartitionsP ▪ IntegerPartitions ▪ FiniteGroupCount ▪ ...
Discrete Calculus »
RSolve — solve recurrence equations
Sum ▪ GeneratingFunction ▪ ZTransform ▪ DifferenceDelta ▪ ContinuedFractionK ▪ ...
Integer Sequences »
FindSequenceFunction — find functions for integer sequences
RecurrenceTable ▪ LinearRecurrence ▪ ...
Strings and Digits
StringReplaceList ▪ IntegerDigits ▪ BitXor ▪ BitAnd
ReplaceList — generate a list of forms matching a pattern
Graphs and Trees
GraphPlot, GraphPlot3D, LayeredGraphPlot — lay out and draw graphs
TreePlot — display trees
GraphData — database of named and enumerated graphs and their properties
Combinatorial Optimization
FindMinimum, Minimize — solve integer programming problems
FindShortestTour — solve traveling salesman problems
Boolean Computation »
And ▪ Or ▪ SatisfiableQ ▪ BooleanFunction ▪ BooleanMinimize ▪ ...
Algebraic Systems »
FiniteGroupData ▪ LatticeData ▪ KnotData
