## What is another word for infinitesimals?

Pronunciation: [ˈɪnfɪnətˌɛsɪmə͡lz] (IPA)

Infinitesimals are extremely small quantities that are often used in calculus and other areas of mathematics. However, there are several synonyms that can be used to describe these tiny quantities. For example, infinitesimals can be called "infinitely small," "infinitely minute," or "infinitely tiny." Another synonym for infinitesimals is "vanishingly small," which emphasizes the fact that they are so small that they essentially disappear. Additionally, infinitesimals can be referred to as "microscopic," "sub-molecular," or "atomic," which convey a sense of their incredibly small size. Overall, these synonyms for infinitesimals highlight the remarkably small scale of these quantities that are so important in mathematics and beyond.

# Synonyms for Infinitesimals:

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## What are the hypernyms for Infinitesimals?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

# What are the opposite words for infinitesimals?

Infinitesimals are extremely small mathematical values that are almost negligible in calculations. The antonyms for the word "infinitesimals" are macroscopic, significant, sizable, substantial, massive, and significant. These words represent values that are large, meaningful, and have a significant impact on calculations. When working with quantities that are not infinitesimal, these antonyms serve as a reminder to adjust the approach to the mathematical problem to account for the differences in magnitude. It is essential to understand both infinitesimals and their antonyms to work effectively in various fields such as calculus, physics, and engineering, where calculations require one to deal with quantities that are not always infinitesimal.

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## Famous quotes with Infinitesimals

• Eudoxes... not only based the method [of exhaustion] on rigorous demonstration... but he actually applied the method to find the volumes (1) of any pyramid, (2) of the cone, proving (1) that any pyramid is one third part of the prism which has the same base and equal height, and (2) that any cone is one third part of the cylinder which has the same base and equal height. Archimedes, however, tells us the remarkable fact that these two theorems were first discovered by Democritus, though he was not able to prove them (which no doubt means, not that he gave no sort of proof, but that he was not able to establish the propositions by the rigorous methods of Eudoxes. Archimedes adds that we must give no small share of the credit for these theorems to Democritus... another testimony to the marvellous powers, in mathematics as well as in other subjects, of the great man who, in the words of Aristotle, "seems to have thought of everything". ...Democritus wrote on irrationals; he is also said to have discussed the question of two parallel sections of a cone (which were evidently supposed to be indefinitely close together), asking whether we are to regard them as equal or unequal... Democritus was already close on the track of infinitesimals.
Thomas Little Heath
• The happiness of life is made up of minute fractions â€” the little soon forgotten charities of a kiss or smile, a kind look, a heartfelt compliment, and the countless infinitesimals of pleasurable and genial feeling.
Samuel Taylor Coleridge

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Recoiler
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chucker-out, bouncer.