Finitely Meaning: Definition, Examples, and Translations
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finitely
[ˈfaɪnɪtli ]
Definition
In mathematics
Finitely refers to something that is limited in extent, not infinite. In mathematical contexts, it often describes a set or amount that can be counted or measured clearly within a specific range. The concept of finiteness is crucial in various branches of mathematics, such as calculus and set theory, where distinguishing between finite and infinite quantities helps in understanding the behavior of functions and sequences.
Synonyms
Examples of usage
- A finite number of solutions.
- The series converges finitely.
- Finitely represented sets are easier to analyze.
Translations
To see the translation, please select a language from the options available.
Interesting Facts
Mathematics
- In mathematics, finitely often refers to a number of occurrences that can be counted, like the number of times you can jump before getting tired.
- A finite set contains a specific number of elements, unlike an infinite set, which has no end, like counting the stars.
- In calculus, finite limits help us understand how functions behave without going off into never-ending values.
Philosophy
- Philosophers often discuss finitely in terms of human existence, suggesting our time and experiences are limited, making life more valuable.
- The finite nature of resources has led to ethical discussions on sustainability and how we should allocate our limited resources wisely.
- Finite thinking can influence one's approach to life goals, encouraging people to prioritize their time and efforts based on a limited lifespan.
Computer Science
- In computer programming, finite state machines represent systems with a fixed number of states they can be in, useful for designing algorithms.
- Finitely often, used in computer logic, indicates scenarios where a condition only occurs a limited number of times, crucial for performance optimization.
- Finite automata are foundational concepts in computation theory, describing how computers process data in well-defined steps.
Physics
- Finites in physics often relate to quantities like mass or energy that can be measured within set limits, unlike concepts that stretch to infinity.
- The finite speed of light is a fundamental principle, crucial to understanding how we perceive distance and time in the universe.
- In thermodynamics, finite systems are studied to analyze energy exchanges under certain constraints, helping us understand natural laws.
Language
- The adverb finitely helps differentiate between limit scenarios and those perceived as endless, shaping our understanding in communication.
- In literature, characters often grapple with finite choices, making choices more poignant and meaningful in their narratives.
- Languages may express finitely through specific terminology when discussing resources, choices, or capacities, emphasizing limitations.
Origin of 'finitely'
The word 'finitely' comes from the adjective 'finite', which has its roots in the Latin word 'finitus', the past participle of 'finire' meaning 'to limit or to end'. The transition from 'finite' to 'finitely' as an adverb occurred in the late 19th century as mathematical language evolved to address the needs of formal logic and quantity interpretation. In mathematics, the distinction between finite and infinite became increasingly important, giving rise to a richer vocabulary to describe these concepts. 'Finitely' specifically highlights the idea of limits and boundaries in contrast to its opposite, 'infinitely', which suggests an absence of boundaries or an endless quantity. This term is frequently used in discussions regarding series, limits, and discrete structures in mathematics, reflecting the development of mathematical bases that rely heavily on defining quantities and their properties.
Word Frequency Rank
Positioned at #21,724, this word is part of extensive vocabulary. It's relatively rare in general usage but may be important in specific fields or formal writing.
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