Cauchy Index
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In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval.he integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French) are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers ( 1, 2, 3, ...). Viewed as subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {... 2, 1, 0, 1, 2, ...}. For example, 65, 7, and 756 are integers; 1.6 and 1 are not integers.…mehr

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In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval.he integers (from the Latin integer, literally "untouched", hence "whole": the word entire comes from the same origin, but via French) are formed by the natural numbers including 0 (0, 1, 2, 3, ...) together with the negatives of the non-zero natural numbers ( 1, 2, 3, ...). Viewed as subset of the real numbers, they are numbers that can be written without a fractional or decimal component, and fall within the set {... 2, 1, 0, 1, 2, ...}. For example, 65, 7, and 756 are integers; 1.6 and 1 are not integers.