Literary notes about INTEGRAL (AI summary)
In literature, the term "integral" is employed to indicate that something is not only essential but also fully and inherently incorporated into a larger whole. It is used in technical treatises—as in discussions of differential and integral calculus where it designates a complete set of arbitrary functions or constants ([1], [2], [3], [4])—and in practical contexts, such as culinary texts where separate elements are combined to form a cohesive dish ([5], [6], [7]). At the same time, literary narratives and philosophical works often use "integral" metaphorically to express an indispensable or inborn part of a person, community, or system, whether referring to character, social structures, or even the very nature of thought ([8], [9], [10], [11]). This multifaceted usage underscores the word's role in conveying completeness and essentiality across diverse fields and genres ([12], [13]).
- NEELLEY, KATHLEEN M. Differential and integral calculus. SEE Neelley, John Haven.
— from U.S. Copyright Renewals, 1967 January - June by Library of Congress. Copyright Office - Their general integral represents a system of similar curves.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - The general integral contains two arbitrary functions.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - Thus the integral halves of 17, 99, and 577 are 8, 49, and 288.
— from Amusements in Mathematics by Henry Ernest Dudeney - [4] These integral parts must be prepared and poached separately and merely heated together before the final service.
— from Cookery and Dining in Imperial Rome by Apicius - The above is a fish forcemeat, now seldom used as an integral dish, but still popular as a dressing for fish or as quenelles.
— from Cookery and Dining in Imperial Rome by Apicius - Presumably the two purées are to be mixed, or to be served as integral parts of one dish.
— from Cookery and Dining in Imperial Rome by Apicius - It is an integral part of the sacred revelation and is to be accepted as the very Word of Truth.
— from The Pursuit of God by A. W. Tozer - It is yours only when it becomes an integral part of you.
— from Pushing to the Front by Orison Swett Marden - The thoughts of your neighbour were then an integral and necessary part of your happiness.
— from On Love by Stendhal - This does not consist merely in a commemoration, either partial or integral, of our past life.
— from The Elementary Forms of the Religious Life by Émile Durkheim - The executive magistrate forms an integral part of the legislative authority.
— from The Federalist Papers by Alexander Hamilton and John Jay and James Madison - The Agena launch vehicle has been an integral part of both unmanned and manned space programs.
— from Rockets, Missiles, and Spacecraft of the National Air and Space Museum, Smithsonian Institution
