exponentially

Meanings

• adjective

  Relating to or being a function of the form f(x) = b^x, where b is a constant greater than 1.

• Growing or increasing at an ever-increasing rate.

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Rhymes

Words rhyming with exponentially
exponentially , constantly , continually , progressively

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Variants

List of all variants of exponentially that leads to same result
exponential , exponentially

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'exponentially' comes from the mathematical term 'exponent' which refers to the power to which a base is raised.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The term 'exponential' comes from the Latin word 'exponere', which means 'to unfold or explain'.

2. The fastest growing bacteria in the world, Thermus aquaticus, can double its population every 12 minutes, demonstrating exponential growth.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Compound interest: Exponentially relates to compound interest where the interest earned on the initial principal is added to the principal, and the interest earned on the new principal is also added, resulting in exponential growth.

2. Exponential growth: Exponential growth is a type of growth where the rate of growth is proportional to the amount of growth already achieved.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Exponentially has been used extensively in various fields such as economics, mathematics, and physics to describe rapid growth or increase.

How to Memorize "exponentially"

1. visualize
   

   - Visualize a graph of an exponential function, where the curve starts off slowly and then rapidly increases.

2. associate
   

   - Associate the word 'exponentially' with the idea of something growing rapidly and out of control.

3. mnemonics
   

   - Use the mnemonic 'Elephants Eat Leaves Every Year' to remember the formula for exponential growth: N = P(1 + r)^t

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