How Do You Spell AMICABLE PAIRS?

Pronunciation: [ˈamɪkəbə͡l pˈe͡əz] (IPA)

The phrase "amicable pairs" refers to friendly couples or partners who get along well with each other. The spelling of this word can be broken down using the International Phonetic Alphabet (IPA). The first syllable, "am," is pronounced as /æm/, rhyming with "ham." The second syllable, "i," is pronounced as /ɪ/, similar to "in." The third syllable, "ca," is pronounced as /kə/, with a schwa sound in the middle. Finally, the last syllable, "ble," is pronounced as /bəl/, with the same schwa sound in the middle. Together, the word is pronounced as /ˈæmɪkəbəl/

Meaning and Definition
Etymology
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AMICABLE PAIRS Meaning and Definition

  1. Amicable pairs refer to a concept commonly used in mathematics, specifically in the field of number theory. In this context, amicable pairs are pairs of natural numbers that exhibit a particular mathematical property.

    When two natural numbers are considered as an amicable pair, they have the remarkable property of each number being equal to the sum of the proper divisors of the other number. Proper divisors are defined as the positive divisors of a number other than the number itself.

    To illustrate, let's consider an example of an amicable pair: 220 and 284. The sum of the proper divisors of 220 (excluding 220 itself) is 284, and the sum of the proper divisors of 284 is 220. Therefore, 220 and 284 form an amicable pair.

    Amicable pairs have intrigued mathematicians throughout history, dating back to ancient civilizations. They were first studied by the Pythagoreans, a group of mathematicians in ancient Greece. Today, amicable pairs continue to be a subject of interest among mathematicians, who explore the patterns, properties, and relationships that exist within these pairs.

    In conclusion, the term "amicable pairs" refers to a mathematical concept involving pairs of natural numbers that possess the unique property of each number being equal to the sum of the proper divisors of the other number.

Etymology of AMICABLE PAIRS

The word "amicable" comes from the Latin word "amicabilis", which means "friendly" or "amiable". It is derived from the Latin word "amicus", which means "friend".

The term "pairs" in this context refers to a set of two things or individuals that are intended to be together or work together.