triangular numbers


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Related to triangular numbers: Square numbers, Pentagonal numbers

triangular numbers

[trī¦aŋ·gyə·lər ′nəm·bərz]
(mathematics)
The numbers 1, 3, 6, 10, …, which are the numbers of dots in successive triangular arrays, and are given by the expression (n + 1)(n /2), where n = 1, 2, 3,….
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Triangular numbers and trapezoidal numbers have a closed connection (see Section 2 for more details) with a rectangular number which is defined to be
Fuzzy triangular numbers A: (a, m, P) and the mean are computed by the following formula:
Liu [48] has mentioned an effective method to compare two interval numbers, Li [53] has proposed the center of gravity method for comparing two triangular numbers, and Nayagam and Sivaraman [54] have proposed an effective method to compare two interval-valued intuitionistic fuzzy numbers.
Table 2 shows transformation of linguistic criteria to fuzzy-interval triangular numbers.
A triangular fuzzy number A or simply triangular number with membership function _A(x) is defined on R by
The second vector is the sum total of triangular numbers of the above matrix as inversed.
Thomas Harriot's doctrine of triangular numbers; the 'Magisteria magna'.
The triangular numbers are formed by partial sum of the series 1 + 2 + 3 + 4 + 5 + 6 + 7.
Abstract Shyam Sunder Gupta [4] has defined Smarandache consecutive and reversed Smarandache sequences of Triangular numbers. Delfim F.M.Torres and Viorica Teca [1] have further investigated these sequences and defined mirror and symmetric Smarandache sequences of Triangular numbers making use of Maple system.
There is a substantial starter course on the origins of numbers, before the reader is invited to gorge on the main courses that include how calculations were devised, big numbers (like googol), symmetry in nature, phi, triangular numbers, logic, probability, art, magic and fractals.
Used procedure with the application of fuzzy triangular numbers is described in the following steps (Van Laarhoven & Pedrycz, 1983; Zadeh, 1965; Kwong & Bai, 2002).