Deriving: meaning, definitions and examples
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deriving
[dɪˈraɪvɪŋ ]
Definitions
mathematics usage
Deriving refers to the process of obtaining a result or conclusion from a set of premises or conditions. In mathematics, it often involves finding the derivative of a function, which indicates how the function changes in relation to its input. This concept is fundamental in calculus and is used to solve problems related to rates of change, optimization, and motion. Additionally, deriving can also pertain to extracting information or knowledge from existing data or theory.
Synonyms
deducing, extracting, inferring.
Examples of usage
- She is deriving a formula from the given data.
- The scientist is deriving conclusions based on the experiment results.
- Mathematicians are deriving new equations.
- He derived the speed of the object from the distance and time.
linguistics use
In linguistics, deriving refers to the process of forming a new word or grammatical form by adding prefixes or suffixes to a base word. This process is crucial for vocabulary development and understanding language structure. It allows speakers to adjust meanings and create variations of words to fit different contexts or to specify nuances in meaning.
Synonyms
constructing, creating, forming.
Examples of usage
- She is deriving new words from the root.
- The teacher explained how to derive adjectives from nouns.
- He is deriving a verb from an existing noun.
Interesting Facts
Etymology
- The word comes from the Latin 'derivare', meaning 'to draw off' or 'to lead away'.
- Related words include 'derive' and 'derivation', which share the same roots and meaning.
- It has been used in English since the 14th century, reflecting concepts of pulling ideas or forms from other sources.
Mathematics
- In calculus, 'deriving' refers to finding a derivative, which tells us how a function is changing.
- It's fundamental in understanding rates of change, such as speed or growth.
- Derivatives can help predict future outcomes based on current trends.
Philosophy
- In ethical discussions, deriving can refer to conclusions drawn from established principles.
- The concept of derivation is crucial in logical arguments, where conclusions depend on previous assertions.
- Philosophers like Aristotle often focused on how conclusions are derived from premises.
Linguistics
- Words can be derived by adding prefixes or suffixes, changing their meaning and use in sentences.
- For example, from the root 'act', we derive 'action' and 'react', showing how language evolves.
- Understanding derivation is key in grasping the richness of language and its structure.
Cultural Context
- Cuisines often derive flavors from a mix of traditions and available ingredients, showcasing cultural diversity.
- Music genres can be derived from various styles, blending influences from different cultures.
- Understanding where certain practices come from allows us to appreciate their significance in various cultures.
Translations
Translations of the word "deriving" in other languages:
🇵🇹 derivando
🇮🇳 व्युत्पन्न करना
🇩🇪 abgeleitet
🇮🇩 menghasilkan
🇺🇦 виведення
🇵🇱 pochodzenie
🇯🇵 導出する
🇫🇷 dérivation
🇪🇸 derivación
🇹🇷 türetme
🇰🇷 파생하다
🇸🇦 اشتقاق
🇨🇿 odvození
🇸🇰 odvodenie
🇨🇳 推导
🇸🇮 izpeljava
🇮🇸 afleiðing
🇰🇿 туынды
🇬🇪 დასკვნა
🇦🇿 çıxarma
🇲🇽 derivación