Centralization is moving a piece or pieces toward the center of the board. In general, pieces are best placed in or near the center of the board because they control a large number of squares and are available for play on either flank as needed. Because of their limited mobility, knights in particular benefit from being centralized. There are several chess aphorisms referring to this principle: "A knight on the rim is dim" (or "grim" instead of "dim") and "A knight on the side cannot abide."
In the following worth-solving puzzles, White is to make a move of centralization or indirect centralization and improve.
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