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Kaiserreich: Legacy of the Weltkrieg is an alternate history total conversion mod for the grand strategy video game Hearts of Iron IV (2016). Set in an alternate timeline where the Central Powers won World War I, the politics of Kaiserreich is drastically different from the politics and borders present during the real World War II, with several nations impacted by civil wars and revolutions ...
The New Order: Last Days of Europe, a mod set in an alternate 1962 after the Axis Powers won World War II, where there is a three-way Cold War between America, Germany, and Japan. The mod has received praise for its rich storytelling and esoteric atmosphere. [48] The mod was first released into Steam Community on March 27, 2021. [49]
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
The algorithm uses the Montgomery forms of a and b to efficiently compute the Montgomery form of ab mod N. The efficiency comes from avoiding expensive division operations. Classical modular multiplication reduces the double-width product ab using division by N and keeping only the remainder. This division requires quotient digit estimation and ...
Setting up for Division Division in the Trachtenberg System is done much the same as in multiplication but with subtraction instead of addition. Splitting the dividend into smaller Partial Dividends, then dividing this Partial Dividend by only the left-most digit of the divisor will provide the answer one digit at a time.
Windows Calculator, since Windows 98, uses arbitrary precision for basic operations (addition, subtraction, multiplication, division) and 32 digits of precision for advanced operations (square root, transcendental functions). SmartXML, a free programming language with integrated development environment (IDE) for mathematical calculations ...
A Soviet combat division at the start of Operation Barbarossa in June 1941 numbered around 8,000–9,000 men and a division slice was approximately twice that at 16,600. As the war progressed the combat divisions dropped in size to 10,500 by 1942 and perhaps 5,000 or fewer by the end of the war, the division slice likewise contracted to 13,400 and 12,300, respectively.
Since the only invertible element is 1, division is the identity function. Elements of GF(p n) may be represented as polynomials of degree strictly less than n over GF(p). Operations are then performed modulo m(x) where m(x) is an irreducible polynomial of degree n over GF(p), for instance using polynomial long division.