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An example of second-order conditioning. In classical conditioning, second-order conditioning or higher-order conditioning is a form of learning in which a stimulus is first made meaningful or consequential for an organism through an initial step of learning, and then that stimulus is used as a basis for learning about some new stimulus.
[1] [2] The realization is called "minimal" because it describes the system with the minimum number of states. [2] The minimum number of state variables required to describe a system equals the order of the differential equation; [3] more state variables than the minimum can be defined. For example, a second order system can be defined by two ...
Schematic variables in first-order logic are usually trivially eliminable in second-order logic, because a schematic variable is often a placeholder for any property or relation over the individuals of the theory. This is the case with the schemata of Induction and Replacement mentioned above. Higher-order logic allows quantified variables to ...
A variety of systems can be approximated as either first or second order systems. These include mechanical, electrical, fluidic, caloric, and torsional systems. This is because the fundamental physical quantities involved within each of these examples are related through first and second order derivatives.
A second-order stimulus is a type of visual stimulus employed in psychophysics where objects are distinguished from their backgrounds through variations in contrast or texture. In contrast, a stimulus distinguished by differences in luminance is termed a first-order stimulus.
The settling time for a second order, underdamped system responding to a step response can be approximated if the damping ratio by = () A general form is T s = − ln ( tolerance fraction × 1 − ζ 2 ) damping ratio × natural freq {\displaystyle T_{s}=-{\frac {\ln({\text{tolerance fraction}}\times {\sqrt {1-\zeta ^{2}}})}{{\text ...
Higher-order logic is an extension of first-order logic and second-order logic with higher-order quantifiers. There is a relation between the i {\displaystyle i} th order and non-deterministic algorithms the time of which is bounded by i − 1 {\displaystyle i-1} levels of exponentials.
The system ACA 0 is a conservative extension of first-order arithmetic (or first-order Peano axioms), defined as the basic axioms, plus the first-order induction axiom scheme (for all formulas φ involving no class variables at all, bound or otherwise), in the language of first-order arithmetic (which does not permit class variables at all).
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