Statements (57)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical concept
|
| gptkbp:can_be |
modular arithmetic
a matrix |
| gptkbp:constructedIn |
adding the two numbers above
|
| gptkbp:evaluates |
binomial coefficients
|
| gptkbp:generator |
recursive formulas
|
| gptkbp:has_a |
1
1, 2, 1 1, 1 1, 3, 3, 1 1, 4, 6, 4, 1 1, 5, 10, 10, 5, 1 the coefficients of the binomial expansion |
| gptkbp:hasPrograms |
computer science
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pascal's Triangle
|
| gptkbp:impact |
negative integers
|
| gptkbp:is_a |
recursive structures
mathematical beauty |
| gptkbp:is_a_celebration_of |
Blaise_Pascal's_work_on_probability
|
| gptkbp:is_a_reflection_of |
true
|
| gptkbp:is_a_representation_of |
a triangle of numbers
|
| gptkbp:is_a_source_of |
mathematicians and artists alike
mathematical patterns many mathematical identities |
| gptkbp:is_a_subject_of |
mathematics
mathematical research mathematical induction |
| gptkbp:is_a_symbol_of |
combinatorial analysis
|
| gptkbp:is_a_tool_for |
solving combinatorial problems
probabilistic models |
| gptkbp:is_available_in |
a pyramid of numbers
|
| gptkbp:is_featured_in |
the concept of recursion
|
| gptkbp:is_part_of |
combinatorial geometry
discrete mathematics |
| gptkbp:is_popular_among |
color coding for patterns
|
| gptkbp:is_studied_in |
number theory
|
| gptkbp:is_used_in |
data analysis
statistics algebra algorithm design probability theory game theory mathematical competitions financial mathematics Fibonacci numbers calculating combinations the number of paths in a grid |
| gptkbp:isConnectedTo |
triangular numbers
|
| gptkbp:isUsedFor |
the multinomial theorem
|
| gptkbp:previousName |
gptkb:Blaise_Pascal
|
| gptkbp:related_to |
combinatorics
the binomial theorem the concept of permutations the hockey-stick identity Pascal's_rule |
| gptkbp:startsAt |
1
|
| gptkbp:taught |
high school mathematics
|