Second-order may refer to:
Mathematics
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Second order approximation, an approximation that includes quadratic terms
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Second-order arithmetic, an axiomatization allowing quantification of sets of numbers
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Second-order differential equation, a differential equation in which the highest derivative is the second
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Second-order logic, an extension of predicate logic
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Second-order perturbation, in perturbation theory
Science and technology
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Second-order cybernetics, the recursive application of cybernetics to itself and the reflexive practice of cybernetics according to this critique.
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Second-order fluid, an extension of fluid dynamics
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Second order Fresnel lens, a size of lighthouse lens
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Second-order reaction, a reaction in which the rate is proportional to the square of a reactant's concentration
Psychology and philosophy
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Second-order conditioning, a form of learning from previous learning
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Second-order desire, the desire to have a desire for something
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Second-order stimulus, a visual stimulus distinguished by an aspect other than luminance
Other uses
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Second Order (religious), the cloistered nuns who are affiliated with mendicant orders of friars