Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematics
|
| gptkbp:analyzes |
triangular array
|
| gptkbp:appears_in |
probability theory
|
| gptkbp:can_be_used_to_calculate |
combinations
|
| gptkbp:concept |
mathematical analysis
discrete mathematics algebraic combinatorics |
| gptkbp:constructed_in |
addition of adjacent numbers
|
| gptkbp:depicts |
combinatorial relationships
|
| gptkbp:eighth_row |
1, 7, 21, 35, 35, 21, 7, 1
|
| gptkbp:fifth_row |
1, 4, 6, 4, 1
|
| gptkbp:first_row |
gptkb:1
|
| gptkbp:fourth_row |
1, 3, 3, 1
|
| gptkbp:has_applications_in |
gptkb:computer_science
|
| gptkbp:has_relationship_with |
Fibonacci sequence
|
| gptkbp:has_rows |
infinite
|
| https://www.w3.org/2000/01/rdf-schema#label |
Blaise Pascal's Triangle
|
| gptkbp:inspiration |
gptkb:Mathematician
|
| gptkbp:is_a_foundation_for |
mathematics education
|
| gptkbp:is_a_representation_of |
combinatorial structures
coefficients in binomial expansion |
| gptkbp:is_a_source_of |
mathematical curiosity
patterns in numbers |
| gptkbp:is_a_subject_of |
mathematical literature
mathematical research mathematical exploration |
| gptkbp:is_a_tool_for |
solving combinatorial problems
mathematical problem solving teaching mathematics |
| gptkbp:is_analyzed_in |
coefficients in polynomial expansion
|
| gptkbp:is_connected_to |
combinatorial identities
Pascal's identity |
| gptkbp:is_part_of |
gptkb:Mathematics
mathematical culture mathematical history |
| gptkbp:is_referenced_in |
number theory
|
| gptkbp:is_related_to |
symmetric functions
binomial theorem triangular numbers |
| gptkbp:is_represented_in |
modular arithmetic
|
| gptkbp:is_studied_in |
gptkb:Mathematics
|
| gptkbp:is_symmetric |
gptkb:true
|
| gptkbp:is_used_in |
gptkb:Mathematics
gptkb:strategy statistics |
| gptkbp:known_as |
Pascal's triangle
|
| gptkbp:named_after |
gptkb:Blaise_Pascal
Pascal's work |
| gptkbp:ninth_row |
1, 8, 28, 56, 70, 56, 28, 8, 1
|
| gptkbp:represents |
binomial coefficients
|
| gptkbp:second_row |
1, 1
|
| gptkbp:seventh_row |
1, 6, 15, 20, 15, 6, 1
|
| gptkbp:sixth_row |
1, 5, 10, 10, 5, 1
|
| gptkbp:technique |
calculating probabilities
finding patterns in numbers |
| gptkbp:tenth_row |
1, 9, 36, 84, 126, 126, 84, 36, 9, 1
|
| gptkbp:third_row |
1, 2, 1
|
| gptkbp:used_in |
combinatorics
|
| gptkbp:bfsParent |
gptkb:Blaise_Pascal
|
| gptkbp:bfsLayer |
5
|