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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 ...
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 ...
Bust of Epicurus.Achieving ataraxia is an important goal in Epicurean philosophy.. In Ancient Greek philosophy, ataraxia (Greek: ἀταραξία, from ἀ-indicating negation or absence and ταραχ-tarach-' to disturb, trouble ' with the abstract noun suffix -ία), generally translated as ' unperturbedness ', ' imperturbability ', ' equanimity ', or ' tranquility ', [1] is a lucid state ...
Perturbation theory is an important tool for describing real quantum systems, as it turns out to be very difficult to find exact solutions to the Schrödinger equation for Hamiltonians of even moderate complexity.
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.
In mathematical optimization, the perturbation function is any function which relates to primal and dual problems. The name comes from the fact that any such function defines a perturbation of the initial problem. In many cases this takes the form of shifting the constraints. [1]
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.
At the same time, gravity will attempt to contract the system even further, and will do so on a free-fall time = / /, where is the universal gravitational constant, is the gas density within the region, and = / is the gas number density for mean mass per particle (μ = 3.9 × 10 −24 g is appropriate for molecular hydrogen with 20% helium by ...