Academic literature on the topic 'Maxima and minima'

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Journal articles on the topic "Maxima and minima"

1

Shukla, Rama. "On maxima-minima." Proceedings of the Indian Academy of Sciences - Section A 106, no. 1 (1996): 65–68. http://dx.doi.org/10.1007/bf02837187.

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2

Romanuke, Vadim. "Three-Point Iterated Interval Half-Cutting for Finding All Local Minima of Unknown Single-Variable Function." Electrical, Control and Communication Engineering 18, no. 1 (2022): 27–36. http://dx.doi.org/10.2478/ecce-2022-0004.

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Abstract A numerical method is suggested to find all local minima and the global minimum of an unknown single-variable function bounded on a given interval regardless of the interval length. The method has six inputs: three inputs defined straightforwardly and three inputs, which are adjustable. The endpoints of the initial interval and a formula for evaluating the single-variable function at any point of this interval are the straightforward inputs. The three adjustable inputs are a tolerance with the minimal and maximal numbers of subintervals. The tolerance is the secondary adjustable input
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3

Romanuke, Vadim. "Nine-Point Iterated Rectangle Dichotomy for Finding All Local Minima of Unknown Bounded Surface." Applied Computer Systems 27, no. 2 (2022): 89–100. http://dx.doi.org/10.2478/acss-2022-0010.

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Abstract A method is suggested to find all local minima and the global minimum of an unknown two-variable function bounded on a given rectangle regardless of the rectangle area. The method has eight inputs: five inputs defined straightforwardly and three inputs, which are adjustable. The endpoints of the initial intervals constituting the rectangle and a formula for evaluating the two-variable function at any point of this rectangle are the straightforward inputs. The three adjustable inputs are a tolerance with the minimal and maximal numbers of subintervals along each dimension. The toleranc
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4

Shenitzer, Abe, and V. M. Tikhomirov. "Stories About Maxima and Minima." American Mathematical Monthly 99, no. 2 (1992): 182. http://dx.doi.org/10.2307/2324204.

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5

Sun, Zhi-Wei. "Sums of minima and maxima." Discrete Mathematics 257, no. 1 (2002): 143–59. http://dx.doi.org/10.1016/s0012-365x(01)00476-9.

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6

Cadeddu, Lucio, and Giampaolo Lai. "Maxima and Minima Without Derivatives?" College Mathematics Journal 46, no. 1 (2015): 15–22. http://dx.doi.org/10.4169/college.math.j.46.1.15.

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7

King, Peter, and John Longeway. "William Heytesbury: On Maxima and Minima." Philosophical Review 96, no. 1 (1987): 146. http://dx.doi.org/10.2307/2185342.

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8

Braunstein, Myron L., Donald D. Hoffman, and Asad Saidpour. "Parts of Visual Objects: An Experimental Test of the Minima Rule." Perception 18, no. 6 (1989): 817–26. http://dx.doi.org/10.1068/p180817.

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Three experiments were conducted to test Hoffman and Richards's (1984) hypothesis that, for purposes of visual recognition, the human visual system divides three-dimensional shapes into parts at negative minima of curvature. In the first two experiments, subjects observed a simulated object (surface of revolution) rotating about a vertical axis, followed by a display of four alternative parts. They were asked to select a part that was from the object. Two of the four parts were divided at negative minima of curvature and two at positive maxima. When both a minima part and a maxima part from th
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9

Pleacher, David. "Activities: Activities to Introduce Maxima-Minima Problems." Mathematics Teacher 84, no. 5 (1991): 379–86. http://dx.doi.org/10.5951/mt.84.5.0379.

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Introduction: Maxima and minima problems have interested mathematicians since the early Greeks. Heron is given credit for one of the most significant discoveries of his time that when light travels from a point to a mirror and then to another point, it takes the shortest possible path. In daily life, practical problems involving maxima and minima arise frequently. Problems about the best shape, shortest distance, or maximum volume are often contemplated.
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10

Shaked, Moshe, and Tityik Wong. "Stochastic comparisons of random minima and maxima." Journal of Applied Probability 34, no. 2 (1997): 420–25. http://dx.doi.org/10.2307/3215381.

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Let X1, X2,… be a sequence of independent random variables and let N be a positive integer-valued random variable which is independent of the Xi. In this paper we obtain some stochastic comparison results involving min {X1, X2,…, XN) and max{X1, X2,…, XN}.
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