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A transposition table is a cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs via a different sequence of moves, the value of the position is retrieved from the table, avoiding re-searching the game tree below that position.
A Poincaré plot, named after Henri Poincaré, is a graphical representation used to visualize the relationship between consecutive data points in time series to detect patterns and irregularities in the time series, revealing information about the stability of dynamical systems, providing insights into periodic orbits, chaotic motions, and bifurcations.
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by A T (among other notations). [1] The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. [2]
For years in HTML, a table has always forced an implicit line-wrap (or line-break). So, to keep a table within a line, the workaround is to put the whole line into a table, then embed a table within a table, using the outer table to force the whole line to stay together. Consider the following examples: Wikicode (showing table forces line-break)
[1] [2] To transpose is to play a move that results in a transposition. Transposition tables are an essential part of a computer chess program. Transpositions exist in other abstract strategy games such as shogi , Go , tic-tac-toe and Hex .
Required for accessibility purposes on data tables, and placed only between the table start and the first table row. ! header cell Optional. Each header cell starts with a new line and a single exclamation mark (!), or several header cells can be placed consecutively on the same line, separated by double exclamation marks (!!). |-new row
Nested tables must start on a new line. In the following example, five different tables are shown nested inside the cells of a sixth, main table. None has any header cells. Automatically, the two tables |A| and |B|B| are vertically aligned instead of the usual side-by-side of text characters in a cell.
On a computer, one can often avoid explicitly transposing a matrix in memory by simply accessing the same data in a different order. For example, software libraries for linear algebra, such as BLAS, typically provide options to specify that certain matrices are to be interpreted in transposed order to avoid data movement.