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  2. Mathematical principles of reinforcement - Wikipedia

    en.wikipedia.org/wiki/Mathematical_principles_of...

    This equation predicts serious instability for non-contingent schedules of reinforcement. Fixed-interval schedules are guaranteed a strengthening of a target response, b=w1, as reinforcement is contingent on this final, contiguous response (Killeen, 1994). This coupling is equivalent to the coupling on FR 1 schedules w1=b=1-e-l.

  3. Matching law - Wikipedia

    en.wikipedia.org/wiki/Matching_law

    When human participants perform under concurrent schedules of reinforcement, matching has been observed in some experiments, [8] but wide deviations from matching have been found in others. [9] Finally, if nothing else, the matching law is important because it has generated a great deal of research that has widened our understanding of operant ...

  4. Law of definite proportions - Wikipedia

    en.wikipedia.org/wiki/Law_of_definite_proportions

    The law of definite proportion was given by Joseph Proust in 1797. [2]I shall conclude by deducing from these experiments the principle I have established at the commencement of this memoir, viz. that iron like many other metals is subject to the law of nature which presides at every true combination, that is to say, that it unites with two constant proportions of oxygen.

  5. Production function - Wikipedia

    en.wikipedia.org/wiki/Production_function

    Quadratic production function. Any of these equations can be plotted on a graph. A typical (quadratic) production function is shown in the following diagram under the assumption of a single variable input (or fixed ratios of inputs so they can be treated as a single variable).

  6. Linear programming relaxation - Wikipedia

    en.wikipedia.org/wiki/Linear_programming_relaxation

    The rounding ratio RR is only an upper bound on the approximation ratio, so in theory the actual approximation ratio may be lower than IG, but this may be hard to prove. In practice, a large IG usually implies that the approximation ratio in the linear programming relaxation might be bad, and it may be better to look for other approximation ...

  7. Cycles and fixed points - Wikipedia

    en.wikipedia.org/wiki/Cycles_and_fixed_points

    G has 2 fixed points, 1 2-cycle and 3 4-cycles B has 4 fixed points and 6 2-cycles GB has 2 fixed points and 2 7-cycles P * (1,2,3,4) T = (4,1,3,2) T Permutation of four elements with 1 fixed point and 1 3-cycle. In mathematics, the cycles of a permutation π of a finite set S correspond bijectively to the orbits of the subgroup generated by π ...

  8. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    The most common civil engineering problems that are solved by optimization are cut and fill of roads, life-cycle analysis of structures and infrastructures, [28] resource leveling, [29] [30] water resource allocation, traffic management [31] and schedule optimization.

  9. Interval (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Interval_(mathematics)

    In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a bound. A real interval can contain neither endpoint, either endpoint, or both endpoints, excluding any endpoint which ...

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