In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to n functions in n dimensions. It says as follows: Consider n {\displaystyle n} continuous, real-valued functions of n {\displaystyle n} variables, f 1 , … , f n : [ − 1 , 1 ] n → R {\displaystyle f_{1},\ldots ,f_{n}\colon [-1,1]^{n}\to \mathbb {R} } .
In mathematics, the Poincaré–Miranda theorem is a generalization of intermediate value theorem, from a single function in a single dimension, to n functions in n dimensions. It says as follows: Consider n {\displaystyle n} continuous, real-valued functions of n {\displaystyle n} variables, f 1 , … , f n : [ − 1 , 1 ] n → R {\displaystyle f_{1},\ldots ,f_{n}\colon [-1,1]^{n}\to \mathbb {R} } .
Source: Wikipedia "Poincaré–Miranda theorem" · CC BY-SA 4.0
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