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词汇 triangular number
释义

Definition of triangular number in English:

triangular number

noun
  • Any of the series of numbers (1, 3, 6, 10, 15, etc.) obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, etc.

    三角形数

    Example sentencesExamples
    • The triangular numbers and the Fibonacci numbers can be found in Pascal's triangle.
    • The first sequence is known as the triangular numbers.
    • This triangle has an elementary use in probability and combinatorics, and both the series of triangular numbers and the Fibonacci series can be derived from it.
    • His work on triangular numbers inspired Sierpinski to further work on this topic while Zarankiewicz also worked jointly with Kuratowski on topology.
    • Pythagoras studied properties of numbers which would be familiar to mathematicians today, such as even and odd numbers, triangular numbers, perfect numbers etc.

Definition of triangular number in US English:

triangular number

noun
  • Any of the series of numbers (1, 3, 6, 10, 15, etc.) obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, etc.

    三角形数

    Example sentencesExamples
    • Pythagoras studied properties of numbers which would be familiar to mathematicians today, such as even and odd numbers, triangular numbers, perfect numbers etc.
    • The triangular numbers and the Fibonacci numbers can be found in Pascal's triangle.
    • This triangle has an elementary use in probability and combinatorics, and both the series of triangular numbers and the Fibonacci series can be derived from it.
    • The first sequence is known as the triangular numbers.
    • His work on triangular numbers inspired Sierpinski to further work on this topic while Zarankiewicz also worked jointly with Kuratowski on topology.
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