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In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents.
Similarly, there are rules for rescinding unconscionable contracts, preventing unjust enrichment, and dealing with cases in which contractual obligations have become impossible to perform. These rules typically have considerable transaction costs. Another kind of option is to define a reciprocal return with explicit reference to ability to pay.
Japan's Prime Minister Fumio Kishida welcomed the Head of the International Department of the CCP Liu Jianchao at the Prime Minister's Office in 2024. The Chinese calligraphy on the wall writes "Jiěyī" (Chinese: 解衣; lit. 'undress'), a term that means sharing each other and tiding over the difficulty, used to stress the "strategic, reciprocal" relationship between the two countries.
There are more subtle ways of initiating the reciprocity rule than merely doing something nice for someone so you may expect something in return. One instance of this more subtle form of reciprocity is the idea of reciprocal concessions. In a reciprocal concession, the requester initially makes a larger request, then a smaller request that is ...
The Golden Rule in its prohibitive (negative) form was a common principle in ancient Greek philosophy. Examples of the general concept include: "Avoid doing what you would blame others for doing." – Thales [12] (c. 624 – c. 546 BCE) "What you do not want to happen to you, do not do it yourself either." – Sextus the Pythagorean. [13]
These rules are given in many books, both on elementary and advanced calculus, in pure and applied mathematics. Those in this article (in addition to the above references) can be found in: Mathematical Handbook of Formulas and Tables (3rd edition) , S. Lipschutz, M.R. Spiegel, J. Liu, Schaum's Outline Series, 2009, ISBN 978-0-07-154855-7 .
A Dutch court convicted five men Tuesday for their part in last month's violence against Israeli soccer fans in Amsterdam that shocked the world and sparked accusations of antisemitism. The ...
Reciprocal altruism has been applied to various species, including humans, while mainstream psychologists use the norm of reciprocity only to explain humans. [ citation needed ] A norm of reciprocity motivates, creates, sustains, and regulates the cooperative behavior required for self-sustaining social organizations.