Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A proof by exhaustion contains two stages: A proof that the cases are exhaustive; i.e. , that each instance of the statement to be proved matches the conditions of (at least) one of the cases. A proof of each of the cases.
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- Method of exhaustion
- the method of calculating limits
- the type of mathematical proof
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- Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A proof by exhaustion contains two stages: A proof that the cases are exhaustive; i.e. , that each instance of the statement to be proved matches the conditions of (at least) one of the cases. A proof of each of the cases. In the Curry-Howard isomorphism, proof by exhaustion and case analysis are related to ML-style pattern matching.
- Prueba por exhaución, también conocida como el método de fuerza bruta, es un método de demostración matemática en el cual la proposición a ser probada se divide en un número finito de casos, y cada caso es demostrado por separado. Una prueba por exhaución consta dos etapas: Una prueba de que los casos son exhaustivos; es decir, que cada instancia de la proposición a ser probada coincide con las condiciones de (al menos) uno de los casos. Una demostración de cada uno de los casos. Por el contrario, el método de exhaución de Eudoxo de Cnidos era una forma geométrica y esencialmente rigurosa de calcular límites matemáticos.
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- Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A proof by exhaustion contains two stages: A proof that the cases are exhaustive; i.e. , that each instance of the statement to be proved matches the conditions of (at least) one of the cases. A proof of each of the cases.
- Prueba por exhaución, también conocida como el método de fuerza bruta, es un método de demostración matemática en el cual la proposición a ser probada se divide en un número finito de casos, y cada caso es demostrado por separado. Una prueba por exhaución consta dos etapas: Una prueba de que los casos son exhaustivos; es decir, que cada instancia de la proposición a ser probada coincide con las condiciones de (al menos) uno de los casos. Una demostración de cada uno de los casos.
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- Proof by exhaustion
- Prueba por exhaución
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