Use ‘triangular number’ in a sentence | ‘triangular number’ example sentences
1- It transpires that 666 is a triangular number .
2- Ten is also a triangular number and a centered triangular number.
3- Ten is also a triangular number and a centered triangular number .
4- Four is the second square number, the second centered triangular number .
5- Three is the second triangular number and it is the only prime triangular number.
6- Three is the second triangular number and it is the only prime triangular number .
7- It is also sometimes called “Mispar Meshulash” ( triangular number ).
8- Gauss proved that every integer is the sum of at most 3 triangular numbers .
9- Moving inwards, the next pair of diagonals contain the triangular numbers in order.
10- The column formed by the set of rightmost rooms will correspond to the triangular numbers .
11- Those already in the hotel will be moved to room __FORMULA__, or the __FORMULA__th triangular number .
12- Those in a coach will be in room __FORMULA__, or the __FORMULA__ triangular number , plus __FORMULA__.
13- We take our lead from the geometrical considerations which attend G : the sum of the first seven, and the sum of the eight, were intended (most appropriately, in view of the triangular pedigree of the parameters!) to yield triangular numbers .
14- In a simple but remarkable instance of numerical geometry we find 10-as-triangle (known to the Pythagoreans as tetraktys) occupying a central position in a triangular setting of the perfect numbers, 6 and 28 (3rd and 7th triangular numbers , respectively).
15- And, regarding the factor 6 per se: in addition to being third triangular number (as we have already seen), it is also first perfect number and a feature of the hexagon, hexagram and cubic geometries listed above.
16- The simplest of these arises directly from the operation of counting by reciting the sequence of natural numbers thus: “One, one plus two, one plus two plus three,…”, so generating the triangular numbers , 1, 3, 6, and so on, without limit.
17- On small arrays it’s OK, but to the time of such an algorithm increases in proportion to the squared number of items (to be more exact – the triangular number 0.5 * n * (n + 1), where n is the number of items).
18- Clearly, this has 3 axes of symmetry which pass through the centroid counter of the central hexagon – these having an angular displacement of 120 degrees (interestingly, 120 being itself a triangular number !).
19- Eventually, the term came to denote any number which, when added to a figurate number, generates the next higher number of the same shape ( triangular numbers , square numbers, pentagonal numbers, and so on).
20- The infinite sequence of triangular numbers diverges to +âˆ, so by definition, the infinite series 1 + 2 + 3 + 4 + ⋯ also diverges to +âˆ.
21- This equation was known to the Pythagoreans as early as the sixth century B.C.E. Numbers of this form are called triangular numbers , because they can be arranged in a triangle.
22- One is the first figurate number of every kind, such as triangular number , pentagonal number and centered hexagonal number, to name just a few.
23- Gauss also discovered that every positive integer is representable as a sum of at most three triangular numbers on 10 July and then jotted down in his diary the note: “ΕΥΡΗΚΑ! num = Δ + Δ + Δ”.
24- For example, taking “m” to be 1 gives the triangular numbers 0, 1, 3, 6, … .
25- Elementary Evaluation of Certain Convolution Sums Involving Divisor Functions Elementary (i.e. not relying on the theory of modular forms) proofs of divisor sum convolutions, formulas for the number of ways of representing a number as a sum of triangular numbers , and related results.
26- triangular number , the additive analogue of factorial
27- 316 = 22 × 79. 316 is a centered triangular number and a centered heptagonal number
28- 10440 – 144th triangular number
29- These numbers are twice the values of triangular numbers from the Pascal Triangle: 1,3,6,10,15,21…
30- and again, the visually arresting series of triangular numbers , 6, 36 (6.6), 66, and 666
31- 378 = 2 × 33 × 7, triangular number , hexagonal number, Smith number, Harshad number, self number.
32- over the range n = 1 to 1000, the expression [10 x hexagon(n) + 3 x hexagram(n)] yields a triangular number only when n = 8; and that, of course, is the instance under discussion here.
33- Again, because 10 (the number of hexagons) and 3 (the number of hexagrams) are themselves triangular numbers , one further arrangement is possible, viz:
34- According to Paul Louis,”The number 666 has been substituted for 616 either by analogy with 888, the number of Jesus (Gustav Adolf Deissmann), or because it is a triangular number , the sum of the first 36 numbers (1+2+3+4+5+6…+36 = 666)”
35- The number of terms in the “n”th Layer is the “n”th triangular number : (n + 1) × (n + 2) / 2.
36- 361 = 192, centered triangular number , centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence; also the number of positions on a standard 19 x 19 Go board.
37- 351 = 33 × 13, triangular number , sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number.
More Sentences:
Related Words:
triangular tile – truncated triangular – triangular mesh – triangular truss – triangular bandage – triangular slices – triangular numbers – triangular number – triangular prism – triangular matrix – triangular pyramid – triangular distribution – triangular design – triangular division – triangularly –
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