Use ‘pascal’s triangle’ in a sentence | ‘pascal’s triangle’ example sentences
1- pascal’s triangle has higher dimensional generalizations.
2- The opening pages contain a diagram of pascal’s triangle .
3- The quintessential example is pascal’s triangle read by rows, .
4- pascal’s triangle has many properties and contains many patterns of numbers.
5- pascal’s triangle can be extended to negative row numbers.
6- Here are the first 8 rows of pascal’s triangle .
7- The figure represents the first 128 rows of pascal’s triangle .
8- pascal’s triangle determines the coefficients which arise in binomial expansions.
9- This is indeed the simple rule for constructing pascal’s triangle row-by-row.
10- The set of numbers that form pascal’s triangle were known before Pascal.
11- A second useful application of pascal’s triangle is in the calculation of combinations.
12- But this is also the formula for a cell of pascal’s triangle .
13- This relation with pascal’s triangle is demonstrated for small values of “n”.
14- In mathematics, pascal’s triangle is a triangular array of the binomial coefficients.
15- pascal’s triangle for binomial coefficients was described around 1100 by Jia Xian.
16- The following value t constructs a triangular matrix for the coefficients of pascal’s triangle .
17- Stemming from this, Al-Karaji investigated binomial coefficients and pascal’s triangle .
18- Actually, it is a representation of pascal’s triangle (mod 2).
19- Lines 0, 1, …, 28 of pascal’s triangle modulo 7.
20- Lines 0, 1, …, 32 of pascal’s triangle modulo 2.
21- An interesting connection also exists between pascal’s triangle and the Sierpinski Gasket.
22- Binomial array The excitation coefficients for the binomial array are given by pascal’s triangle .
23- Some of the results mentioned above can be derived from properties of pascal’s triangle .
24- The multipliers (1 4 6 4 1) compose Line 4 of pascal’s triangle .
25- Some of the numbers in pascal’s triangle correlate to numbers in Lozanić’s triangle.
26- Place these dots in a manner analogous to the placement of numbers in pascal’s triangle .
27- A Subtraction Triangle is sort of like pascal’s triangle , with some obvious differences.
28- And almost all the properties listed above have parallels with pascal’s triangle and Multinomial Coefficients.
29- In 1665 Pascal posthumously published his results on the eponymous pascal’s triangle , an important combinatorial concept.
30- These coefficients for varying “n” and “b” can be arranged to form pascal’s triangle .
31- Notice the coefficients are the numbers in row two of pascal’s triangle : 1, 2, 1.
32- The rows of pascal’s triangle are conventionally enumerated starting with row “n” = 0 at the top.
33- This relationship is best illustrated by comparing pascal’s triangle down to Line 4 with Layer 4 of the tetrahedron.
34- In the “Treatise”, he wrote on the triangular array of binomial coefficients known as pascal’s triangle .
35- The binomial coefficients 1, 2, 1 appearing in this expansion correspond to the third row of pascal’s triangle .
36- The pattern obtained by coloring only the odd numbers in pascal’s triangle closely resembles the fractal called the Sierpinski triangle.
37- The total number of possible combinations can be represented as binomial coefficients and they can be derived from pascal’s triangle .
38- The Fibonacci numbers occur in the sums of “shallow” diagonals in pascal’s triangle (see Binomial coefficient).
39- Note that if p = q =1â„2, the distribution will be symmetric due to the symmetry in pascal’s triangle .
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Related Words:
triangle up – brake triangle – reversing triangle – codman triangle – triangle technique – calot triangle – triangle test – pascal’s triangle – oblique triangle – arithmetic triangle – obtuse triangle – geodesic triangle – polar triangle – scalene triangle – obtuse angled triangle –
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