Differenced: meaning, definitions and examples
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differenced
[ ˈdɪf.ər.ənst ]
mathematics
Differenced is the past tense of the verb 'differentiate', which in mathematics refers to the process of finding the derivative of a function. This operation helps determine the rate at which a quantity changes and is fundamental in calculus. It allows us to analyze how changes in one variable can affect another. Differencing is particularly useful in statistical analysis for transforming data into stationary series, making it essential in time series analysis and econometrics.
Synonyms
Examples of usage
- The data was differenced to stabilize the mean.
- The function was differenced for better analysis.
- In econometrics, differenced data helps to meet model assumptions.
Translations
Translations of the word "differenced" in other languages:
🇵🇹 diferenciado
🇮🇳 अंतरित
🇩🇪 unterscheidet
🇮🇩 berbeda
🇺🇦 відмінність
🇵🇱 różnicowany
🇯🇵 異なる
🇫🇷 différencié
🇪🇸 diferenciado
🇹🇷 farklı
🇰🇷 차별화된
🇸🇦 مختلف
🇨🇿 odlišený
🇸🇰 odlíšený
🇨🇳 不同的
🇸🇮 diferenciran
🇮🇸 aðgreindur
🇰🇿 ажыратылады
🇬🇪 განსხვავებული
🇦🇿 fərqlənmiş
🇲🇽 diferenciado
Etymology
The term 'difference' originates from the Latin word 'differentia', meaning 'distinction' or 'difference'. The mathematical concept of differentiation arose as calculus developed in the late 17th century, primarily through the work of Isaac Newton and Gottfried Wilhelm Leibniz. In their respective formulations, differentiation helped in the understanding of motion and change, providing tools to analyze curves and functions. The use of 'differenced' likely evolved as the discipline of statistics and analysis expanded, particularly during the 19th and 20th centuries, increasingly becoming a vital technique for data analysis in various scientific fields.