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The game of astronomical tables, from Libro de los juegos. The Libro de los juegos (Spanish: "Book of games"), or Libro de axedrez, dados e tablas ("Book of chess, dice and tables", in Old Spanish), was a Spanish treatise of chess which synthesized the information from other Arabic works on this same topic, dice and tables (backgammon forebears) games, [1] commissioned by Alfonso X of Castile ...
The first tables of trigonometric functions known to be made were by Hipparchus (c.190 – c.120 BCE) and Menelaus (c.70–140 CE), but both have been lost. Along with the surviving table of Ptolemy (c. 90 – c.168 CE), they were all tables of chords and not of half-chords, that is, the sine function. [1]
The overlaps get quite close at the point where the d orbitals enter the picture, [50] and the order can shift slightly with atomic number [51] and atomic charge. [ 52 ] [ h ] Starting from the simplest atom, this lets us build up the periodic table one at a time in order of atomic number, by considering the cases of single atoms.
Map of the world showing national-level sales tax / VAT rates as of October 2019. A comparison of tax rates by countries is difficult and somewhat subjective, as tax laws in most countries are extremely complex and the tax burden falls differently on different groups in each country and sub-national unit.
The group {1, −1} above and the cyclic group of order 3 under ordinary multiplication are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this. In contrast, the smallest non-abelian group, the dihedral group of order 6 , does not have a symmetric Cayley table.
Syzygy tablebases were developed by Ronald de Man and released in April 2013 in a form optimized for use by a chess program during search. This variety consists of two tables per endgame: a smaller WDL (win/draw/loss) table which contains knowledge of the 50-move rule, and a larger DTZ table (distance to zero ply, i.e., pawn move or capture).
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