The multiplicative inverse of the largest Lyapunov exponent is sometimes referred in literature as Lyapunov time, and defines the characteristic " e "-folding time.
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Alternatively, a near-field is a near-ring in which there is a multiplicative identity, and every non-zero element has a multiplicative inverse.
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The logarithm and square root transformations are commonly used for positive data, and the multiplicative inverse ( reciprocal ) transformation can be used for non-zero data.
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:Should we assume that you are referring to the multiplicative inverse and not the additive inverse ?-- talk 12 : 29, 20 May 2006 ( UTC)
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This follows fairly immediately from the facts that the elements in a Hardy field are eventually differentiable and hence continuous and eventually either have a multiplicative inverse or are zero.
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The multiplicative ( ?) identity is written as 1 and the multiplicative inverse of " a " is written as " a " " 1.
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In the phrase " multiplicative inverse ", the qualifier " multiplicative " is often omitted and then tacitly understood ( in contrast to the additive inverse ).
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"' Partial mean life "'associated with individual processes is by definition the multiplicative inverse of corresponding partial decay constant : \ tau = 1 / \ lambda.
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The distinction is used most often for sets that support both binary operations, such as unit is often used in a broader sense, to mean an element with a multiplicative inverse.
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This property of being invariant under taking the multiplicative inverse of the argument is still not " very unique " .-- Talk 21 : 32, 9 October 2006 ( UTC)