Hemic calculus is a medical term used to describe the presence of kidney stones on one side of the body. The word is spelled with a "hemi-" prefix, which means "half," and the Greek root "calculus," meaning "pebble or stone." The pronunciation of the word is [he-mik kal-kyuh-luhs], with the emphasis on the first syllable. The "hemi" prefix is pronounced with a short "e" sound, while "calculus" is pronounced with a long "a" and "u" sound. Phonetic transcriptions help to break down the sounds used to construct words in various languages.
Hemic calculus is a mathematical branch that deals with the operations and properties of partial derivatives and differentials. In this calculus, functions are not treated as continuous entities but are dissected into their differential parts, known as hemidifferentials. The term "hemi-" indicates that only one half of a functional or a differential is considered at a time.
Hemic calculus was proposed by Charles Méray, a French mathematician, in the mid-19th century as an alternative approach to calculus. It aimed to simplify complicated mathematical problems by focusing on partial differentials and hemidifferentials rather than considering the entire function. By breaking down a function into its constituent hemidifferentials, hemic calculus facilitates the analysis and manipulation of complex expressions.
This branch of calculus introduces unique rules and operations for handling partial derivatives, such as the hemipartial derivative. Hemipartial derivatives are obtained by taking the derivative of a function with respect to one variable while keeping all other variables constant. Hemic calculus provides a framework for studying the behavior of functions with multiple variables and enables the evaluation of functions at specific points.
Hemic calculus has found applications in various fields, including physics, engineering, and economics. It allows for the analysis of complex systems and provides insights into their behavior by breaking them down into their differential components. Although hemic calculus is not as widely used as traditional calculus, its unique approach offers an alternative perspective and additional tools for tackling mathematical problems.
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A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.
The word "hemic calculus" is derived from two Greek roots: "hemi-" meaning half and "-calculus" meaning small stone or pebble.
In medical terminology, "hemic calculus" refers to the presence of kidney stones or urinary calculi that are less than half the size of a normal calculus. The term is composed of "hemi-" indicating the smaller size of the stone and "calculus" meaning stone or pebble.
Overall, the etymology of "hemic calculus" reflects its literal meaning of a smaller kidney stone or urinary calculus.