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A Minecraft mod is a mod that changes aspects of the sandbox game Minecraft. Minecraft mods can add additional content to the game, make tweaks to specific features, and optimize performance. Thousands of mods for the game have been created, with some mods even generating an income for their authors.
Minecraft: Story Mode, an episodic spin-off game developed by Telltale Games in collaboration with Mojang, was announced in December 2014. [8] [9] [10] Consisting of five episodes plus three additional downloadable episodes, the standalone game is a narrative and player choice-driven, and it was released on Windows, OS X, iOS, PlayStation 3, PlayStation 4, Xbox 360, and Xbox One via download ...
In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
Minecraft: November 18, 2011: 350 million [51] Minecraft is a sandbox and survival video game originally created by Swedish game designer Markus "Notch" Persson and developed by Mojang. Originally a computer indie game made using Java, it has since been ported to game consoles and mobile devices. It was bought by Microsoft Studios in November 2014.
The dashboard update containing backward compatibility was released publicly on November 12, 2015. [1] On October 24, 2017, another such update added games from the original Xbox library. The Xbox Series X/S was released in 2020 and was confirmed to be backwards compatible with the same list of games as the Xbox One at launch.
The pattern shown by 8 and 16 holds [6] for higher powers 2 k, k > 2: {,}, is the 2-torsion subgroup, so (/) cannot be cyclic, and the powers of 3 are a cyclic subgroup of order 2 k − 2, so: ( Z / 2 k Z ) × ≅ C 2 × C 2 k − 2 . {\displaystyle (\mathbb {Z} /2^{k}\mathbb {Z} )^{\times }\cong \mathrm {C} _{2}\times \mathrm {C} _{2^{k-2}}.}
[1] For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric ...
We say that 15 is congruent to 3 modulo 12, written 15 ≡ 3 (mod 12), so that 7 + 8 ≡ 3 (mod 12). Similarly, 8:00 represents a period of 8 hours, and twice this would give 16:00, which reads as 4:00 on the clock face, written as 2 × 8 ≡ 4 (mod 12).