factorials
Descending multiplication sequences
Factorials are the products obtained by multiplying a positive integer by all the positive integers below it.
The factorial of 5 (written 5!) is 5 × 4 × 3 × 2 × 1 = 120.
Factorials grow rapidly and appear throughout mathematics, especially in probability and combinatorics—calculating how many ways things can be arranged or selected.
Ordered arrangements of elements
- combinationsUnions of separate parts
- multiplicationProduct-finding operation
- sequencesOrdered sets of elements
- recursiveDefined in terms of itself
combinatorics · integers · product · calculation · notation · exclamation mark · formula · ascending
Organized plans or configurations
- orderingsParticular arrangements of elements
- permutationsOrdered arrangements of elements
- countingDetermining quantity sequentially
- probabilityQuantified chance of occurrence
sampling · shuffling · deck · cards · anagrams · seating · lineups · lottery
System of written symbols
- learningGaining knowledge gradually
- algebraMath using symbols
- precalculusMath preparation for derivatives
- textbookAcademic subject manual
exercises · word problems · students · curriculum · examples · introduction · basics · definition
Finite problem-solving procedure
- recursionProcess invoking itself
- iterationRepeated procedural pass
- overflowExceed capacity and spill
- loopCurve closing on itself
function · stack · complexity · programming · efficiency · base case · cache · implementation
permutations
Ordered arrangements of elements
- combinationsUnions of separate parts
- multiplicationProduct-finding operation
- sequencesOrdered sets of elements
recursive · combinatorics · integers · product · calculation · notation · exclamation mark · formula · ascending · descending
arrangements
Organized plans or configurations
- orderingsParticular arrangements of elements
- permutationsOrdered arrangements of elements
- countingDetermining quantity sequentially
probability · sampling · shuffling · deck · cards · anagrams · seating · lineups · lottery · outcomes
notation
System of written symbols
- learningGaining knowledge gradually
- algebraMath using symbols
- precalculusMath preparation for derivatives
textbook · exercises · word problems · students · curriculum · examples · introduction · basics · definition · teaching
algorithm
Finite problem-solving procedure
loop · function · stack · complexity · programming · efficiency · base case · cache · implementation · optimization
- number sequencesFibonacci sequence, arithmetic sequence, prime numbers, natural numbers, integers
- mathaddition, subtraction, multiplication, division, algebra
- math operationsaddition, adding, subtraction, subtracting, multiplication
- math termsnumbers, plus or minus, linear growth, square, operand
- combinatoricspermutation, combinations, combination, counting, arrangements
- discrete mathcombinatorics, graph theory, set theory, number theory, proofs
factorialslogarithms
Exponent-finding operations
constants · linear functions · exponents · powers · square roots
factorialslogarithms
Exponent-finding operations
diminishing returns · linear growth · inverse functions · exponential decay