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What (who) is munching squares - definition

1962 DISPLAY HACK

Munching squares

munching squares

A display hack dating back to the PDP-1 (ca. 1962, reportedly discovered by Jackson Wright), which employs a trivial computation (repeatedly plotting the graph Y = X XOR T for successive values of T - see HAKMEM items 146--148) to produce an impressive display of moving and growing squares that devour the screen. The initial value of T is treated as a parameter, which, when well-chosen, can produce amazing effects. Some of these, later (re)discovered on the {LISP Machine}, have been christened "munching triangles" (try AND for XOR and toggling points instead of plotting them), "munching w's", and "munching mazes". More generally, suppose a graphics program produces an impressive and ever-changing display of some basic form, foo, on a display terminal, and does it using a relatively simple program; then the program (or the resulting display) is likely to be referred to as "munching foos". [This is a good example of the use of the word foo as a metasyntactic variable.]

Corresponding squares

IN CHESS, A PAIR OF SQUARES SUCH THAT THE OCCUPATION OF ONE SQUARE BY A KING FORCES THE ENEMY KING TO MOVE TO THE OTHER SQUARE IN ORDER TO HOLD THE POSITION

Corresponding square theory; Relative squares

In chess, two squares are corresponding squares (also known as relative squares, sister squares, or coordinate squares) if the occupation of one of these squares by a king requires the enemy king to move to the other square in order to hold the position. Corresponding squares exist in some chess endgames, usually ones that are mostly blocked.

https://en.wikipedia.org/wiki/Corresponding_squares

Least squares

APPROXIMATION METHOD IN STATISTICS

Method of least squares; Least-squares method; Least-squares estimation; Least-Squares Fitting; Least squares fitting; Sum of Squared Error; Least-squares; Least squares approximation; Least-squares approximation; Least squares method; Least-squares analysis; Least squares fit; Least squares problem; Least-squares problem; LSQF; Principle of least squares; Least-squares fit; Method of Least Squares; Least Squares

The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems (sets of equations in which there are more equations than unknowns) by minimizing the sum of the squares of the residuals (a residual being the difference between an observed value and the fitted value provided by a model) made in the results of each individual equation.

https://en.wikipedia.org/wiki/Least_squares

Wikipedia

Munching square

The Munching Square is a display hack dating back to the PDP-1 (ca. 1962, reportedly discovered by Jackson Wright), which employs a trivial computation (repeatedly plotting the graph Y = X XOR T for successive values of T) to produce an impressive display of moving and growing squares that devour the screen. The initial value of T is treated as a parameter, which, when well-chosen, can produce amazing effects. Some of these, later (re)discovered on the LISP machine, have been christened munching triangles (using bitwise AND instead of XOR, and toggling points instead of plotting them), munching w's, and munching mazes. More generally, suppose a graphics program produces an impressive and ever-changing display of some basic form, foo, on a display terminal, and does it using a relatively simple program; then the program (or the resulting display) is likely to be referred to as munching foos.

https://en.wikipedia.org/wiki/Munching square