How Do You Spell ASYMPTOTICALLY?

Pronunciation: [ˌasɪmptˈɒtɪkli] (IPA)

The word "asymptotically" is spelled /ˌeɪsɪmptɒtɪkli/, with a stress on the third syllable. The initial "a" is pronounced as the "a" in "cat", while the subsequent "s" is pronounced as the "z" sound in "zip". The "y" in the third syllable is pronounced like the "i" in "sit", and the last four syllables are pronounced with a short "o" sound (like in "lot") followed by the "tik-lee" sound. The word refers to approaching a limit or value with ever-decreasing distance or accuracy.

ASYMPTOTICALLY Meaning and Definition

1. Asymptotically is an adverb that describes the behavior or characteristics of a mathematical function or sequence as it approaches a certain value or infiniteness. It is derived from the word "asymptote," which refers to a line that a curve or graph continuously approaches but never intersects.

   In the realm of mathematics, the term asymptotically indicates the tendency of a function or a sequence to approach a specific behavior or limit as an independent variable approaches a certain value or infinity. It signifies that the function or sequence gets progressively closer to but never exactly reaches its limit or the asymptote.

   Asymptotically is commonly used in various fields of mathematics, such as calculus, statistics, and number theory, to describe the trend or behavior of mathematical entities. For instance, in calculus, a function can be said to approach zero asymptotically if it becomes infinitely close to zero as the independent variable approaches infinity. In statistics, a distribution is often said to converge asymptotically to a specific shape or point as the sample size increases indefinitely.

   Overall, asymptotically conveys the notion of approaching a limit, trend, or behavior that a function or sequence never actually reaches but continuously gets closer to as the independent variable changes.

Common Misspellings for ASYMPTOTICALLY

• asymptically
• zsymptotically
• ssymptotically
• wsymptotically
• qsymptotically
• aaymptotically
• azymptotically
• axymptotically
• adymptotically
• aeymptotically
• awymptotically
• astmptotically
• asgmptotically
• ashmptotically
• asumptotically
• as7mptotically
• as6mptotically
• asynptotically
• asykptotically
• Asymtopically
• Asimpotically

Etymology of ASYMPTOTICALLY

The word "asymptotically" is derived from the term "asymptote". The term "asymptote" comes from the Greek words "asymptotos" (meaning "not falling together") and "temnein" (meaning "to cut").

In mathematics, an asymptote refers to a line that a curve approaches but never intersects. It represents a limit or approach towards a certain value. The word "asymptotic" was first used in the 17th century by the French mathematician Gilles Personne de Roberval to describe the property of curves approaching another curve without actually touching it.

The adverb form "asymptotically" is derived from this same root and is used to describe something happening in an asymptotic manner, or in relation to an asymptote.

Similar spelling word for ASYMPTOTICALLY

• asymptomatic.