Extremized: meaning, definitions and examples
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extremized
[ ɪkˈstrɪmaɪzd ]
mathematics optimization
Extremized refers to the process of finding the extreme values (maximum or minimum) of a function in mathematical optimization. This term is commonly used in calculus and mathematical analysis to describe the act of obtaining these critical points where the derivative equals zero.
Synonyms
Examples of usage
- The algorithm extremized the cost function to find the optimal solution.
- By applying constraints, we extremized the profit in this scenario.
- Researchers extremized the variables to enhance the performance of the model.
Etymology
The term 'extremized' is derived from the root 'extreme', which comes from the Latin word 'extremus', meaning 'the outermost' or 'the farthest point'. The concept penetrated academic language as mathematics and optimization grew in prominence during the 19th century. In mathematical parlance, to extremize a function involves a systematic approach to identify points where the function achieves its greatest or least values. The evolution of the term reflects an increasing awareness of optimization in fields such as economics, engineering, and the physical sciences. As analytical techniques advanced, the use of 'extremized' flourished, particularly in discussions centered around calculus and decision-making frameworks.