Sentence examples for triangular number from inspiring English sources

An oblong number also is formed by doubling any triangular number (see Figure 2).

Thus, it has been shown that every integer is either a triangular number, the sum of two triangular numbers, or the sum of three triangular numbers: e.g., 8 = 1 + 1 + 6, 42 = 6 + 36, 43 = 15 + 28, 44 = 6 + 10 + 28.

where T L is a triangular number.

For such a problem, first, the fuzzy triangular number is approximated to its nearest symmetric triangular number, with the assumption that all decision variables are symmetric triangular.

(16)Note that the left side of (16) describes a square number, whereas the right side describes a triangular number, so the result is a square triangular number (see [18]).

As seen above, final output number is in the form of fuzzy triangular number (418, 1197, 3909).

Inspection reveals that the sum of any two adjacent triangular numbers is always a square number.

We learn about primes, triangular numbers, the invention of zero, and so on, in surprisingly warm-hearted scenes of exposition.

Thus, the triangular numbers, 1, 3, 6, 10, 15, 21, etc., were visualized as points or dots arranged in the shape of a triangle.

The Pythagoreans used geometrical figures to illustrate their slogan that all is number thus their "triangular numbers" (n(n−1)/2), "square numbers" (n2), and "altar numbers" (n3), some of which are shown in the figure.

For instance, if the numbers 1, 2, 3, 4,…are added successively, the "triangular" numbers 1, 3, 6, 10,…are obtained; similarly, the odd numbers 1, 3, 5, 7,…sum to the "square" numbers 1, 4, 9, 16,…, while the sequence 1, 4, 7, 10,…, with a constant difference of 3, sums to the "pentagonal" numbers 1, 5, 12, 22,….