In mathematics and computing, a triangular array of numbers, polynomials, or the like, is a doubly indexed sequence in which each row is only as long as...
8 KB (840 words) - 05:17, 28 May 2025
35\quad 35\quad 21\quad 7\quad 1\end{array}}} In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play...
53 KB (7,608 words) - 02:14, 13 June 2025
an array is a data structure consisting of a collection of elements (values or variables), of same memory size, each identified by at least one array index...
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rule or the rectangle rule (midpoint rule). The estimates generate a triangular array. Romberg's method is a Newton–Cotes formula – it evaluates the integrand...
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in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space. It...
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Floyd's triangle is a triangular array of natural numbers used in computer science education. It is named after Robert Floyd. It is defined by filling...
3 KB (260 words) - 14:32, 14 December 2023
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...
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A Riordan array is an infinite lower triangular matrix, D {\displaystyle D} , constructed from two formal power series, d ( t ) {\displaystyle d(t)} of...
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{\tbinom {n}{n}}} in successive rows for n = 0, 1, 2, ... gives a triangular array called Pascal's triangle, satisfying the recurrence relation ( n k...
62 KB (10,787 words) - 23:41, 15 June 2025
\operatorname {N} (n,k),n\in \mathbb {N} ^{+},1\leq k\leq n} form a triangular array of natural numbers, called the Narayana triangle, that occur in various...
8 KB (1,088 words) - 19:05, 23 January 2024
a.n.) random variables within a triangular array X 11 X 21 X 22 X 31 X 32 X 33 ⋮ ⋮ ⋮ ⋱ {\displaystyle {\begin{array}{cccc}X_{11}\\X_{21}&X_{22}\\X_{...
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new clade known as the Australosphenida, and also suggest that the triangular array of cusps may have evolved independently in australosphenidans and therians...
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Same sound tzere Example שֶׁל The word for of in Hebrew, shel. The triangular array of three dots under the letter Shin form the segol. Other Niqqud Shva ·...
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formula. The partial or incomplete exponential Bell polynomials are a triangular array of polynomials given by B n , k ( x 1 , x 2 , … , x n − k + 1 ) = ∑...
32 KB (7,714 words) - 21:32, 18 December 2024
In probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b, and mode...
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{\displaystyle (0,0)} to ( n , 0 ) {\displaystyle (n,0)} . There is also a triangular array associated with the Schröder numbers that provides a recurrence relation...
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Iliffe vector (category Arrays)
used to implement jagged arrays, such as triangular arrays, triangular matrices and other kinds of irregularly shaped arrays. The data structure is named...
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is computed by an "addition" operation, implemented as if filling a triangular array in a boustrophedon (zigzag- or serpentine-like) manner—as opposed to...
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fields) which are roughly equal in size and arranged in a periodic triangular array that covers the entire available environment. Cells with this firing...
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implementation of a short baseline acoustic system, is composed of a triangular array of hydrophones on the ship's hull, a transponder on the towed vehicle...
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10 15 15 20 27 37 52 {\displaystyle {\begin{array}{l}1\\1&2\\2&3&5\\5&7&10&15\\15&20&27&37&52\end{array}}} The Bell numbers appear on both the left and...
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The Karl G. Jansky Very Large Array (VLA) is a centimeter-wavelength radio astronomy observatory in the southwestern United States built in the 1970s...
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The land grid array (LGA) is a type of surface-mount packaging for integrated circuits (ICs) that is notable for having the pins on the socket (when a...
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T\right)} -bimodule, then the triangular matrix ring R := [ T 0 M U ] {\displaystyle R:=\left[{\begin{array}{cc}T&0\\M&U\\\end{array}}\right]} consists of 2-by-2...
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later came to know as Pascal's triangle;: 60 Khayyam popularized this triangular array in Iran, so that it is now known as Omar Khayyam's triangle. In 1074–5...
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In combinatorics, the rencontres numbers are a triangular array of integers that enumerate permutations of the set { 1, ..., n } with specified numbers...
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structure that Yablonovitch was able to produce involved drilling a triangular array of cylindrical holes in layers of transparent material, where the holes...
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Delannoy number (section Delannoy array)
octahedral numbers. Alternatively, the same numbers can be arranged in a triangular array resembling Pascal's triangle, also called the tribonacci triangle,...
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Empty product – Result from multiplying no factors Pascal's triangle – Triangular array of the binomial coefficients in mathematics Combinatorial proof – proofs...
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Number Devil presents Pascal's triangle and the patterns that the triangular array displays. On the eighth night, Robert is brought to his classroom at...
15 KB (1,599 words) - 11:02, 23 March 2025