Literary notes about functions (AI summary)
The term “functions” is employed in literature with a remarkable range of meanings that reflect both its literal and metaphorical capacities. In more technical or scientific contexts, authors use it to denote specific roles or mathematical relationships—as when discussing derivatives or the properties of homogeneous functions [1, 2, 3, 4] or outlining the processes in psychology and physiology [5, 6]. At the same time, “functions” extends to societal and institutional roles, with writers invoking it to describe the duties of government bodies [7, 8, 9] or the responsibilities inherent in social or familial structures [10, 11]. Beyond these practical applications, the word also carries a figurative load, symbolizing abstract or cosmic roles, as seen when it underpins discussions of deific influence or spiritual symbolism [12, 13, 14]. Thus, across a wide literary spectrum—from the precise language of mathematics and science to the richer idioms of social commentary—the varied usage of “functions” illuminates its capacity to denote organized processes, designated roles, and deeper symbolic meanings all at once.
- Theorem on homogeneous functions.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - In the same way Arithmetic may be defined as intended for the determination of the values of functions .
— from The Declaration of Independence of the United States of America by Thomas Jefferson - 92 Case where these variables are linear functions of the independent variables.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - True values of functions, which upon a particular supposition assume one or another of the forms 0 0 , ∞ ∞ , ∞ + 0, 0 0 , 4 ∞ Lessons 19–23.
— from The Declaration of Independence of the United States of America by Thomas Jefferson - A science of the brain must point out the functions of its elements.
— from The Principles of Psychology, Volume 1 (of 2) by William James - So that likeness and unlikeness to the starting point are functions inverse to each other, of the position of any term in such a series.
— from The Principles of Psychology, Volume 1 (of 2) by William James - m [ In Massachusetts the Senate is not invested with any administrative functions.
— from Democracy in America — Volume 1 by Alexis de Tocqueville - All elective functions are inalienable until their term is expired.
— from Democracy in America — Volume 1 by Alexis de Tocqueville - That the people should exercise these functions directly and personally is evidently inadmissable.
— from Considerations on Representative Government by John Stuart Mill - At home, I had been a boy of no account, but here, when these important functions were entrusted to me, I felt the glory of the situation.
— from My Reminiscences by Rabindranath Tagore - The family being the earliest and closest society into which men enter, it assumes the primary functions which all society can exercise.
— from The Life of Reason: The Phases of Human Progress by George Santayana - [63] And Jan Yu also said: "The Sage exercises both civil and military functions."
— from The Art of War by active 6th century B.C. Sunzi - Sometimes these human gods are restricted to purely supernatural or spiritual functions.
— from The Golden Bough: A Study of Magic and Religion by James George Frazer - But on the other hand, the functions which they are believed to fulfil, or to have fulfilled, are closely similar to those incumbent upon a great god.
— from The Elementary Forms of the Religious Life by Émile Durkheim