Buckingham π theorem

（重定向自Buckingham Pi Theorem）

In engineering, applied mathematics, and physics, the Buckingham $π$ theorem is a key theorem in dimensional analysis. It is a formalization of Rayleigh's method of dimensional analysis. Loosely, the theorem states that if there is a physically meaningful equation involving a certain number n of physical variables, then the original equation can be rewritten in terms of a set of p = n − k dimensionless parameters $π$ ₁, $π$ ₂, ..., $π$ _p constructed from the original variables. (Here k is the number of physical dimensions involved; it is obtained as the rank of a particular matrix.)

单词	Buckingham Pi Theorem
释义	Buckingham Pi Theorem 英语百科 Buckingham π theorem （重定向自Buckingham Pi Theorem） In engineering, applied mathematics, and physics, the Buckingham $π$ theorem is a key theorem in dimensional analysis. It is a formalization of Rayleigh's method of dimensional analysis. Loosely, the theorem states that if there is a physically meaningful equation involving a certain number n of physical variables, then the original equation can be rewritten in terms of a set of p = n − k dimensionless parameters $π$ ₁, $π$ ₂, ..., $π$ _p constructed from the original variables. (Here k is the number of physical dimensions involved; it is obtained as the rank of a particular matrix.)
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