Top 10 similar words or synonyms for logarithmic_derivative
NotFoundError 0.789
Top 30 analogous words or synonyms for logarithmic_derivative
Article | Example |
---|---|
Logarithmic derivative | So for positive-real-valued functions, the logarithmic derivative of a product is the sum of the logarithmic derivatives of the factors. But we can also use the Leibniz law for the derivative of a product to get |
Logarithmic derivative | Thus, it is true for "any" function that the logarithmic derivative of a product is the sum of the logarithmic derivatives of the factors (when they are defined). mahihina |
Logarithmic derivative | A corollary to this is that the logarithmic derivative of the reciprocal of a function is the negation of the logarithmic derivative of the function: |
Logarithmic derivative | The logarithmic derivative idea is closely connected to the integrating factor method for first-order differential equations. In operator terms, write |
Logarithmic derivative | where "M*" now denotes the multiplication operator by the logarithmic derivative |
Logarithmic derivative | with "n" an integer, "n" ≠ 0. The logarithmic derivative is then |
Logarithmic derivative | In the field of Nevanlinna Theory, an important lemma states that the proximity function of a logarithmic derivative is small with respect to the Nevanlinna Characteristic of the original function, for instance formula_11. |
Logarithmic derivative | is likewise invariant. For functions "F" into "GL", the formula |
Logarithmic derivative | where formula_2 is the derivative of "f". Intuitively, this is the infinitesimal relative change in "f"; that is, the infinitesimal absolute change in "f," namely formula_3 scaled by the current value of "f." |
Logarithmic derivative | Many properties of the real logarithm also apply to the logarithmic derivative, even when the function does "not" take values in the positive reals. For example, since the logarithm of a product is the sum of the logarithms of the factors, we have |