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Exponential: meaning, definitions and examples

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exponential

 

[ หŒษ›kspษ™หˆnษ›nสƒษ™l ]

Adjective / Noun
Context #1 | Adjective

mathematics growth

Exponential refers to a mathematical function where a quantity increases by a constant factor over equal intervals. It is often used to describe rapid growth, especially in contexts like population increase, technology adoption, and finance.

Synonyms

accelerated, increase, rapid

Examples of usage

  • The population is experiencing exponential growth.
  • The technology market is expanding exponentially.
  • The bacteria multiplied at an exponential rate.
Context #2 | Noun

mathematical function

In mathematics, an exponential is a type of function where a variable appears in the exponent. It is typically expressed in the form f(x) = a * b^x, where b is a positive real number.

Synonyms

exponent, power

Examples of usage

  • The graph of the exponential function shows a steep curve.
  • In calculus, we study the properties of exponential functions.
  • An exponential model can be used to fit the data.

Translations

Translations of the word "exponential" in other languages:

๐Ÿ‡ต๐Ÿ‡น exponencial

๐Ÿ‡ฎ๐Ÿ‡ณ เค˜เคพเคคเฅ€เคฏ

๐Ÿ‡ฉ๐Ÿ‡ช exponential

๐Ÿ‡ฎ๐Ÿ‡ฉ eksponensial

๐Ÿ‡บ๐Ÿ‡ฆ ะตะบัะฟะพะฝะตะฝั†ั–ะนะฝะธะน

๐Ÿ‡ต๐Ÿ‡ฑ eksponencjalny

๐Ÿ‡ฏ๐Ÿ‡ต ๆŒ‡ๆ•ฐ้–ขๆ•ฐ็š„ใช

๐Ÿ‡ซ๐Ÿ‡ท exponentiel

๐Ÿ‡ช๐Ÿ‡ธ exponencial

๐Ÿ‡น๐Ÿ‡ท รผstel

๐Ÿ‡ฐ๐Ÿ‡ท ์ง€์ˆ˜์˜

๐Ÿ‡ธ๐Ÿ‡ฆ ุฃุณูŠ

๐Ÿ‡จ๐Ÿ‡ฟ exponenciรกlnรญ

๐Ÿ‡ธ๐Ÿ‡ฐ exponenciรกlny

๐Ÿ‡จ๐Ÿ‡ณ ๆŒ‡ๆ•ฐ็š„

๐Ÿ‡ธ๐Ÿ‡ฎ eksponentni

๐Ÿ‡ฎ๐Ÿ‡ธ vexlar

๐Ÿ‡ฐ๐Ÿ‡ฟ ัะบัะฟะพะฝะตะฝั†ะธะฐะปะดั‹

๐Ÿ‡ฌ๐Ÿ‡ช แƒ”แƒฅแƒกแƒžแƒแƒœแƒ”แƒœแƒชแƒ˜แƒแƒšแƒฃแƒ แƒ˜

๐Ÿ‡ฆ๐Ÿ‡ฟ eksponensial

๐Ÿ‡ฒ๐Ÿ‡ฝ exponencial

Etymology

The term 'exponential' comes from the Latin word 'exponere', which means 'to set forth'. The mathematical use of the term began in the 16th century when it was used to denote powers in equations. The adjective form emerged later to describe functions that grow at rates proportional to their current value. In the context of mathematics, it plays a crucial role in concepts such as compound interest, population dynamics, and various scientific models. Exponential growth has become a fundamental concept in understanding phenomena that exhibit rapid increases, making it a common term across multiple disciplines.

Word Frequency Rank

Position #9,100 indicates this is an advanced-level word. While not essential for basic communication, it will enhance your ability to understand and create more nuanced content.