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Perturbation (from Latin: perturbare "to confuse, disorder, disturb", from per- "through" + turbare "disturb, confuse," from turba "turmoil, crowd") is a set of pedology (soil study) and sedimentary geology processes relating to changes in the nature of water-borne alluvial sediments and in situ soil deposits over time.
Perturbation or perturb may refer to: Perturbation theory, mathematical methods that give approximate solutions to problems that cannot be solved exactly; Perturbation (geology), changes in the nature of alluvial deposits over time; Perturbation (astronomy), alterations to an object's orbit (e.g., caused by gravitational interactions with other ...
In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive body. [1] The other forces can include a third (fourth, fifth, etc.) body, resistance , as from an atmosphere , and the off-center attraction of an oblate or otherwise misshapen body.
Given a primal problem (minimize f(x)) and a related perturbation function (F(x,y)) then the Lagrangian: {+} is the negative conjugate of F with respect to y (i.e. the concave conjugate). That is the Lagrangian is defined by
Perturbation theory develops an expression for the desired solution in terms of a formal power series known as a perturbation series in some "small" parameter, that quantifies the deviation from the exactly solvable problem. The leading term in this power series is the solution of the exactly solvable problem, while further terms describe the ...
Google Dictionary is an online dictionary service of Google that can be accessed with the "define" operator and other similar phrases [note 1] in Google Search. [2] It is also available in Google Translate and as a Google Chrome extension. The dictionary content is licensed from Oxford University Press's Oxford Languages. [3]
Many of these are degenerations in the pronunciation of names that originated in other languages. Sometimes a well-known namesake with the same spelling has a markedly different pronunciation. These are known as heterophonic names or heterophones (unlike heterographs , which are written differently but pronounced the same).
For example, you may pronounce cot and caught the same, do and dew, or marry and merry. This often happens because of dialect variation (see our articles English phonology and International Phonetic Alphabet chart for English dialects). If this is the case, you will pronounce those symbols the same for other words as well. [1]