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5867573
Mathematical Proof Strategy
Descrição
simple and enjoyable
Sem etiquetas
calculus
proving
mathematical proof strategy
Mapa Mental por
Naimi Syahira
, atualizado more than 1 year ago
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Criado por
Naimi Syahira
quase 8 anos atrás
9
0
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Resumo de Recurso
Mathematical Proof Strategy
CONTRAPOSITIVE
PROPOSITION : P → Q is logically equivalent to a ~Q → ~P
EXAMPLE
OUTLINE
Alternative to direct proof
CONTRADICTION
Assume statement to be proven is false, then show that assumption leads to nonsense
To make a statement false, only negate Q
Not limited to proving just conditional statements
PROPOSITION : P is logically equivalent to (~P) → (C ^ ~C)
OUTLINE
EXAMPLE
MATHEMATICAL INDUCTION
Used when we have a set of statements S1, S2, S3, ..., Sn, ..., and we need to prove that they are all true
OUTLINE
EXAMPLE
DIRECT PROOF
OUTLINE
PROPOSITION : If P, then Q
A simple way to prove theorems or propositions that have the form of conditional statements
EXAMPLE
Anexos de mídia
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