Properties of Continuous Functions

Ebook Calculus presents the following content: Chapter 1 basic properties of numbers, chapter 2 numbers of various sorts, chapter 3 functions, chapter 4 graphs, chapter 5 limits, chapter 6 continuous functions, chapter 7 three hard theorems, chapter 8 least upper bounds, chapter 9 derivatives, chapter 10 differentiation, chapter 11 significance of the derivative, chapter 12 inverse functions, chapter 13 integrals,...

630p zizaybay1103 29-05-2024 3 2   Download

The paper "Nonlinear vibration of functionally graded porous micro-beams resting on elastic foundation" presents the analysis of nonlinear vibration of functionally graded porous (FGP) micro-beams resting on an elastic foundation. The Euler-Bernoulli beam theory (EBT) and the nonlocal strain gradient theory (NSGT) are considered to establish the equations of motion of the micro-beam. The material properties of the micro-beam are assumed to be changed continuously along thickness direction according to simple power-law distribution.

9p dathienlang1012 03-05-2024 1 0   Download

The diagnostic rate of Mendelian disorders in sequencing studies continues to increase, along with the pace of novel disease gene discovery. However, variant interpretation in novel genes not currently associated with disease is particularly challenging and strategies combining gene functional evidence with approaches that evaluate the phenotypic similarities between patients and model organisms have proven successful.

20p viellison 28-03-2024 1 1   Download

Continued part 1, part 2 of ebook "The controller’s function: The work of the managerial accountant (4th edition)" provides readers with contents including: receivables; inventory; property, plant, and equipment; liabilities; equity; operational accounting; the fast close; SEC filings; performance measurements and trends; financial analysis; cost reduction; taxes; selecting a financial information system;...

264p tuongnhuoclan 27-11-2023 5 3   Download

Continued part 1, part 2 of ebook "Probability theory" provides readers with contents including: properties of the trajectories of random walks zero-one laws; random walks and factorisation identities; sequences of dependent trials markov chains; information and entropy; stationary sequences; stochastic recursive sequences; continuous time random processes; processes with independent increments; functional limit theorems;...

409p hanlinhchi 29-08-2023 6 3   Download

Continued part 1, part 2 of ebook "Game sound: An introduction to the history, theory, and practice of video game music and sound design" provides readers with contents including: Chapter 6 - Synergy in game audio, film, popular music, and intellectual property; Chapter 7 - Gameplay, genre, and the functions of game audio; Chapter 8 - Compositional approaches to dynamic game music; Chapter 9 - Conclusion;...

94p hanlinhchi 29-08-2023 9 6   Download

Continued part 1, part 2 of ebook "Holomorphic functions and integral representations in several complex variables" provides readers with contents including: the levi problem and the solution of δ on strictly pseudoconvex domains; function theory on domains of holomorphy in Cn; topics in function theory on strictly pseudoconvex domains;...

198p lytamnguyet 04-08-2023 10 4   Download

Part 1 of ebook "Modeling and simulation of functionalized materials for additive manufacturing and 3D printing: Continuous and discrete media - Continuum and discrete element methods" provides readers with contents including: introduction to additive/3D printing materials filaments, functionalized inks, and powders; continuum methods (CM) basic continuum mechanics; CM approaches characterization of particle-functionalized materials; CM approaches estimation and optimization of the effective properties of mixtures; CM approaches numerical thermo-mechanical formulations; discrete element met...

168p lytamnguyet 04-08-2023 5 3   Download

Continued part 1, part 2 of ebook "Modeling and simulation of functionalized materials for additive manufacturing and 3D printing: Continuous and discrete media - Continuum and discrete element methods" provides readers with contents including: DEM extensions flexible substrate models; DEM extensions higher-fidelity laser modeling; DEM extensions acoustical pre-processing; summary and closing remarks; elementary notation and mathematical operations; CM approaches effective electrical properties of mixtures; CM approaches extensions to multiphase materials;...

140p lytamnguyet 04-08-2023 7 4   Download

Ebook Measure Theory and Functional Analysis: Part 2 presents the following content: The Open Mapping Theorem; The Closed Graph Theorem; The Conjugate of an Operator; The Uniform Boundedness Theorem; Hilbert Spaces The Definition and Some Simple Properties; Self Adjoint Operators;...Please refer to the documentation for more details.

161p chankora 16-06-2023 4 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

This paper investigates the geometric nonlinear effect of functionally graded beams subjected to axial static force. The material properties of the beam vary continuously in the thickness direction according to the powerlaw distributions.

6p vispyker 16-11-2022 3 1   Download

The aim of the paper "Uniqueness properties of m-subharmonic functions in Cegrell classes" is to provide sufficient conditions for unicity of m-subharmonic functions. Since two plurisubharmonic functions may equal on an open subset of a domain without being identical (e.g. u ≡ 0 and v(z) = max(log |z|, 0)), it seems natural to put additional assumptions on Hessian measures of u and v to guarantee that u ≡ v on the whole domain Ω.

15p runordie3 27-06-2022 23 2   Download

Vibration analysis of multi-span bidirectional functionally graded material (2D-FGM) beams subjected to a moving load is presented by using a high-order deformation theory. The material properties of the beam are assumed to vary continuously in the thickness and longitudinal directions by a power-law distribution. The dynamic response of the beam is computed with the aid of the Newmark method.

8p viwinter2711 18-10-2021 13 1   Download

This research presents a continuous element model for solving vibration problems of FG stepped truncated conical shells having various material properties and surrounded by Pasternak foundations. Based on the First Order Shear Deformation Theory (FSDT) and the equations of the FGM conical shells, the dynamic stiffness matrix is obtained for each segment of the shell having constant thickness.

20p nguaconbaynhay11 07-04-2021 16 1   Download

In this paper, vibration of a 2D-FGSW Timoshenko beam formed from three distinct materials traversed by a harmonic load is studied by the finite element method. The beam consists of three layers, a homogeneous core and two FGM skin layers with the material properties continuously varying in both the thickness and length directions by power functions.

16p cothumenhmong9 04-01-2021 12 1   Download

The advances of systems biology have raised a large number of sophisticated mathematical models for describing the dynamic property of complex biological systems. One of the major steps in developing mathematical models is to estimate unknown parameters of the model based on experimentally measured quantities.

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In this paper continuous like functions are defined between a topological and an n-ary topological structures and their basic properties are studied.

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In this paper, free and forced vibration of functionally graded beam are investigated, the develop theory based on the refined method considered the variation of transverse shear strain and stretching through the FGM beam at the simple supported boundary condition. The properties of the material change continuously through the thickness of the beam, these characteristics vary according to a power law.

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This article deals with the relationship between Fuzzy Logic and the concept of Probability Function from discrete or continuous random variables. At first, basic concepts and properties are shown, both of functions corresponding to Fuzzy Logic, and functions of Probability Distribution and Probability Density.

8p cleopatrahuynh 01-06-2020 23 1   Download