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  2. Assignment (computer science) - Wikipedia

    en.wikipedia.org/wiki/Assignment_(computer_science)

    The second most commonly used notation is [1] x := expr (originally ALGOL 1958, popularised by Pascal). [2] Many other notations are also in use. In some languages, the symbol used is regarded as an operator (meaning that the assignment statement as a whole returns a value). Other languages define assignment as a statement (meaning that it ...

  3. PascalABC.NET - Wikipedia

    en.wikipedia.org/wiki/PascalABC.NET

    PascalABC.NET was developed by a group of enthusiasts at the Institute of Mathematics, Mechanics, and Computer Science in Rostov-on-Don, Russia. [1] In 2003, a predecessor of the modern PascalABC.NET, called Pascal ABC, was implemented by associate professor Stanislav Mikhalkovich to be used for teaching schoolchildren instead of Turbo Pascal, which became outdated and incompatible with modern ...

  4. Midpoint circle algorithm - Wikipedia

    en.wikipedia.org/wiki/Midpoint_circle_algorithm

    The algorithm has already been explained to a large extent, but there are further optimizations. The new presented method [4] gets along with only 5 arithmetic operations per step (for 8 pixels) and is thus best suitable for low-performate systems.

  5. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    y=f(x)=.5x+1 or f(x,y)=x-2y+2=0 Positive and negative half-planes. The slope-intercept form of a line is written as = = + where is the slope and is the y-intercept. Because this is a function of only , it can't represent a vertical line.

  6. Singmaster's conjecture - Wikipedia

    en.wikipedia.org/wiki/Singmaster's_conjecture

    Singmaster's conjecture is a conjecture in combinatorial number theory, named after the British mathematician David Singmaster who proposed it in 1971. It says that there is a finite upper bound on the multiplicities of entries in Pascal's triangle (other than the number 1, which appears infinitely many times).

  7. Pascal's triangle - Wikipedia

    en.wikipedia.org/wiki/Pascal's_triangle

    In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.

  8. Limaçon - Wikipedia

    en.wikipedia.org/wiki/Limaçon

    Construction of the limaçon r = 2 + cos(π – θ) with polar coordinates' origin at (x, y) = (⁠ 1 / 2 ⁠, 0). In geometry, a limaçon or limacon / ˈ l ɪ m ə s ɒ n /, also known as a limaçon of Pascal or Pascal's Snail, is defined as a roulette curve formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

  9. Pascal (programming language) - Wikipedia

    en.wikipedia.org/wiki/Pascal_(programming_language)

    Pascal-P5, created outside the Zürich group, accepts the full Pascal language and includes ISO 7185 compatibility. Pascal-P6 is a follow on to Pascal-P5 that along with other features, aims to be a compiler for specific CPUs, including AMD64. UCSD Pascal branched off Pascal-P2, where Kenneth Bowles used it to create the interpretive UCSD p-System.