LOSS OF SIGNIFICANCE Meaning and
Definition
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Loss of significance refers to the reduction in precision or accuracy that occurs when a mathematical operation is performed on quantities that are represented by a limited number of digits or bits. It is a phenomenon that arises from the limitations of finite precision representation in digital computers or numerical calculations.
When performing calculations, numbers are typically stored in a fixed number of bits or digits, which constrains the precision of the result. Loss of significance occurs when the difference between two very close numbers is calculated, leading to a significant loss in the accuracy of the result due to the limited number of digits available.
Loss of significance is most prevalent in arithmetic operations that involve subtracting two nearly equal numbers. This happens because the subtraction amplifies the truncation or rounding errors that occur due to finite precision representation.
The loss of significant digits can lead to incorrect or imprecise results, especially in cases where high accuracy is required or the quantity being calculated is sensitive to small changes. It is important to be aware of this phenomenon and take appropriate measures, such as using more precise data types, employing alternative algorithms, or modifying the calculation methods, to mitigate or minimize the impact of loss of significance.
In summary, loss of significance refers to the loss of precision or accuracy that occurs when performing calculations on quantities represented with limited precision, and it is a phenomenon that needs to be considered and accounted for in numerical computations.
