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Etymology is the scientific study of the origin and evolution of a word's semantic meaning across time, including its constituent morphemes and phonemes. It uses methods such as philology, comparative linguistics, and semantic change to trace the history and relationships of words across languages and time.
Learn about the equalities that involve trigonometric functions and are true for every value of the variables. Find the Pythagorean, reciprocal, reflection, shift, periodicity, angle sum and difference, and Ptolemy identities with examples and proofs.
Euler's identity is the equality where e is Euler's number, i is the imaginary unit, and π is pi. It is a special case of Euler's formula and a connection between five fundamental constants. Learn about its mathematical beauty, explanations, and applications.
AOL Mail offers secure and personalized email with features like AOL Mail, news, and weather for free. You can also access your email on the go with an iOS & Android app and get help from experts.
Euler's formula is a mathematical formula that relates the trigonometric functions and the complex exponential function. It has many applications in complex analysis, physics, chemistry, and engineering, and can be proved using different methods such as differentiation, power series, or polar coordinates.
Learn about the signs of death in older adults, such as appetite loss, sleep changes, withdrawal, confusion, and breathing difficulties. Find out how to provide physical and emotional comfort for ...
Appendicitis is an inflammation of the appendix that requires surgery to remove it. Learn about the possible causes, symptoms, diagnosis, and recovery of this medical emergency.
Wikipedia is a multilingual project that provides free access to information on various topics, from history and science to culture and arts. You can browse articles, images, news, and portals, or contribute to the community by editing, creating, or discussing.