Monotonic Functions

Ebook "The complexity of boolean functions" includes content: Introduction to the theory of boolean functions and circuits, the minimization of boolean functions, the design of efficient circuits for some fundamental functions; asymptotic results and universal circuits; lower bounds on circuit complexity, monotone circuits,... and other contents.

469p haojiubujain07 20-09-2023 3 3   Download

Part 1 of ebook "Understanding analysis" provides readers with contents including: chapter 1 - the real numbers; chapter 2 - sequences and series; chapter 3 - basic topology of R; chapter 4 - functional limits and continuity;...

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Ebook Measure Theory and Functional Analysis: Part 1 presents the following content: Differentiation and Integration Differentiation of Monotone Functions; Functions of Bounded Variation; Differentiation of an Integral; Absolute Continuity;...Please refer to the documentation for more details.

189p chankora 16-06-2023 5 1   Download

Ebook Real Analysis: Part 2 presents the following content: Limit of a Function; Properties of Continuous Functions; Discontinuities and Monotonic Functions; Sequences and Series of Functions; Uniform Convergence of Functions; Uniform Convergence and Continuity;...Please refer to the documentation for more details.

173p chankora 16-06-2023 5 1   Download

In this paper, we establish the regularized gap function for a class of mixed parametric vector quasiequilibrium problems. Some examples are given to illustrate our results. Our main results extend and differ from those corresponding ones in the current literatures.

6p viporsche 28-10-2022 2 2   Download

Mesangial cells play an important role in the glomerulus to provide mechanical support and maintaine efficient ultrafiltration of renal plasma. Loss of mesangial cells due to pathologic conditions may lead to impaired renal function.

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In this paper we present some numerical result for illustrating a theoretical results obtained in our investigation in the field of variational inequality problems with constraint in the form of operator equation involving monotone operator.

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Since 2000, throughout the program of Mathematics in Vietnam, the content of functions is presented and kept the central position. The derivative function is introduced at the end of 11th-grade curriculum to equip a tool to study significant knowledge of function content such as monotonous, convex, inflection point, maximum value etc. . . to support for other subjects such as chemistry, physics and so on.

9p tamynhan9 02-12-2020 23 3   Download

In this work, we calculate the formation energy, electronic structures, stabilities and Raman spectra for varying isomers of (ZrO2)n clusters. The total binding energy of the cluster (ZrO2)n indicates that energies of stabilization does not decrease monotonically with increasing size and the energies change very slow from n = 5.

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Bài giảng "Tối ưu hóa nâng cao - Chương 6: Subgradients" cung cấp cho người học các kiến thức: Last time - gradient descent, subgradients, examples of subgradients, monotonicity, examples of non-subdifferentiable functions,... Mời các bạn cùng tham khảo.

36p abcxyz123_08 11-04-2020 39 2   Download

The distribution types of uniform, power increasing, power decreasing and sine function are investigated. Through the analysis, it can be concluded that different power distribution has a great influence on the flow of natural circulation if the total power of heating is constant. It was found that the peak flow of supercritical water natural circulation is maximal when the distribution of heating power is monotonically decreasing, minimal when it is monotonically increasing, and moderate at uniform or the sine type of heating.

9p minhxaminhyeu3 25-06-2019 37 1   Download

This paper introduces regularized gap functions for a class of generalized mixed weak vector quasiequilibrium problems. Then, error bounds for the concerning problems via regularized gap functions are established. Some examples are provided to illustrate the results.

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The Jungck–Khan iterative scheme for a pair of nonself operators contains as a special case Jungck–Ishikawa and Jungck–Mann iterative schemes. In this paper, we establish improved results about convergence, stability, and data dependence for the Jungck–Khan iterative scheme.

10p danhdanh27 07-01-2019 16 2   Download

In this paper, by applying the generalized Omori–Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function.

12p danhdanh27 07-01-2019 12 1   Download

Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.

10p danhdanh27 07-01-2019 23 1   Download

The Weierstrass type results of Gajek and Zagrodny are not in general retainable in the precise context. Our first aim in this exposition is to show that a completion of the imposed conditions may be offered so that these results be true. As a second aim, alternate proofs of the statements in question are performed, via ordering principles comparable with the one in Brezis and Browder.

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In this paper, we introduce the concept of generalized relaxed α-pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed α-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.

8p vinguyentuongdanh 19-12-2018 40 2   Download

Functional Unification G r a m m a r provides an opportunity to encompass within one formalism and computational s y s t e m the parts of m a c h i n e translation s y s t e m s t h a t have u s u a l l y been treated separately, natably analysis, transfer, and synthesis. Many of the a d v a n t a g e s of this formalism come from the fact t h a t it is monotonic allowing data structures to grow differently as different nondeterministic...

4p bungio_1 03-05-2013 30 1   Download

Evans and Gazdar (Evans and Gazdar, 1989a; Evans and Gazdar, 1989b) introduced DATR as a simple, non-monotonic language for representing natural language lexicons. Although a number of implementations of DATR exist, the full language has until now lacked an explicit, declarative semantics. This paper rectifies the situation by providing a mathematical semantics for DATR. We present a view of DATR as a language for defining certain kinds of partial functions by cases. The formal model provides a transparent treatment of DATR's notion of global context....

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For simplicity,we assume that skylines are computedwith respect tomin con- ditions on all dimensions; however, all methods discussed can be applied with any combination of conditions. Using the min condition, a point pi dominates1 another point pj if and only if the coordinate of pi on any axis is not larger than the corresponding coordinate of pj . Informally, this implies that pi is preferable to pj according to any preference (scoring) function which is monotone on all attributes.

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