The word "Equimultiple" is pronounced /iːkwɪˈmʌltɪp(ə)l/. The "e" at the beginning is pronounced as long "ee" sound /iː/. The "qui" is pronounced as "kwih" /kwɪ/. The stress is on the second syllable, "mul" /mʌl/. The "ti" is pronounced as "sh" /ʃ/. And finally, the "ple" is pronounced as "pul" /p(ə)l/. Overall, the spelling of Equimultiple follows its pronunciation quite closely, making it easier for readers to understand its meaning upon first glance.
Equimultiple is a mathematical term that refers to an object or quantity that has a common multiple. More specifically, it describes a set of numbers or terms that can all be divided by the same factor or multiple.
In its primary usage, equimultiple is employed in the realm of algebra, particularly when dealing with polynomials. When two or more polynomials are equimultiple, it means that they can each be divided by the same polynomial with no remainders. In other words, their division is exact and the resulting quotient is a whole polynomial.
This concept is often applied when solving algebraic equations or systems of equations. By identifying equimultiple polynomials, mathematicians can simplify the problem by reducing or eliminating terms that are redundant, and ultimately arrive at a solution more efficiently.
However, equimultiple can also have broader applications outside the algebraic context. For example, it can be used to describe quantities or objects that are proportional or share the same common factor. In this sense, it indicates equality or similarity in terms of their multiplicative properties.
In summary, equimultiple is a mathematical term that signifies shared divisibility or common multiples. It is primarily used in algebra to describe polynomials that can be divided evenly by the same divisor. Additionally, it can refer to objects or quantities that possess a common factor or multiple.
• Multiplied by the same number or quantity.
• A number which has been multiplied by the same number or quantity as another.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word equimultiple is derived from two Latin roots: aequus meaning equal and multiple from multiplex meaning many times. When combined, equimultiple simply means equal multiple.