The word "modulus" is spelled /ˈmɒd.jʊ.ləs/ in IPA phonetic transcription. This pronunciation breaks down into four phonemes: /m/ for the initial consonant, /ɒ/ and /ʊ/ for the vowel sound in the first and second syllables respectively, and /l/ for the second consonant. The final syllable consists of two phonemes: /ə/ for the neutral schwa sound and /s/ for the consonant at the end of the word. In summary, the spelling of "modulus" reflects its pronunciation in IPA phonetic transcription.
Modulus is a noun that refers to a numerical or quantitative value that measures the magnitude or extent of a particular quality or attribute. It is commonly used in various mathematical and scientific fields to describe the absolute value or size of a number, vector, complex number, or other mathematical entity.
In mathematics, modulus is most notably used in the field of arithmetic and modular arithmetic. It describes the remainder or absolute value obtained when dividing one number (the dividend) by another number (the divisor). The modulus is always a non-negative quantity and is typically represented by a vertical bar or double vertical bars enclosing the number or expression.
In physics, modulus often refers to a material property that measures its resistance to deformation or stretching under an applied force. For example, in engineering, the modulus of elasticity is a measure of a material's ability to return to its original shape after being deformed. This property is crucial for designing and analyzing structures and materials such as metals and polymers.
In the context of computer programming, modulus is an operator denoted by the percentage symbol (%). It returns the remainder obtained when dividing one integer by another. This concept is widely employed in algorithms and programs that involve repetitive calculations or working with a cyclic range of values.
Overall, the term modulus has diverse applications within different disciplines, but it consistently entails a quantifiable measure or value related to size, resistance, or calculation.
In math., the constant coefficient or multiplier in a function of a variable quantity.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "modulus" originated from Latin, where it was derived from the term "modulus" meaning "small measure" or "standard measure". In Latin, "modulus" was itself derived from the word "modus" which means "measure, manner, or way". Later, the term "modulus" was adopted in mathematics and physics to refer to a quantity or value that represents a particular property or characteristic of a system or object.