removal of forms and supports
commentary on design and construction of reinforced concrete chimneys (aci 307-98)
... methods, and the results of a full dynamic analysis employing accepted approaches and recognizing the flow profile and turbulence levels at a specific site may be used in place of the standard ... mainly by steel area and, in many instances, across-wind forces The subject of across-wind loads dominated the attention of the Committee between 1988 and 1995 and the 1995 standard introduced modified ... shell was completely revised and extended to cover different types and thicknesses of linings and both unventilated and ventilated air spaces between the lining and the concrete shell In 1954,...
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Tài liệu Real-Time Digital Signal Processing - Appendix B: Introduction of MATLAB for DSP Applications docx
... precision The output of every command is displayed on the screen, however, a semicolon `;' at the end of a command suppresses the screen output, except for graphics and on-line help commands The xn vector ... repeat a set of commands and functions several times It is important to note that we should not name a script file the same as the name of a variable in the workspace and the name of a 460 APPENDIX ... at the command prompt: help save The help command will return the text information on how to use save in the command window The help command with no arguments will display a list of directories...
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handbook of microscopy for nanotechnology, 2005, p.745
... Thermal and Thermoelectric Microscopy Li Shi Introduction Instrumentation of Scanning Thermal and Thermoelectric Microscopy Theory of Scanning Thermal and Thermoelectric Microscopy Applications of ... and Nanotechnology Electron-Specimen Interactions Instrumentation of the Scanning Electron Microscope The Resolution of Secondary and Backscattered Electron Images Contrast Mechanisms of SE and ... STEM Instruments Microanalysis in STEM Studies of Nanoparticles and Nanotubes Studies of Crystal Defects and Interfaces The Structure and Composition of Surfaces Amorphous Materials STEM Holography...
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Handbook of mathematics for engineers and scienteists part 13 doc
... A diameter (b) and a tangent (c) of a circle Properties of circles and disks: √ The circumference is L = 2πR = πd = πS The area of a disk is S = πR2 = πd2 = Ld 4 The diameter of a circle is a ... the altitude of a trapezoid Properties of trapezoids: A trapezoid is circumscribed if and only if a + b = c + d A trapezoid is inscribed if and only if it is isosceles The area of a trapezoid ... angles α, β, γ, and δ between a straight line AB and the directions to points D and C are known at points A and B (Fig 3.18a) Suppose also that the distance a = AB (or b = DC) is known and the task...
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Handbook of mathematics for engineers and scienteists part 130 pps
... Integral Equations: Linear and Non-Linear Theory and Its Applications in Science and Engineering, Springer-Verlag, Berlin, 2000 Lavrentiev, M M., Some Improperly Posed Problems of Mathematical Physics, ... Mikhlin, S G and Pr¨ ssdorf, S., Singular Integral Operators, Springer-Verlag, Berlin, 1986 o Mikhlin, S G and Smolitskiy, K L., Approximate Methods for Solution of Differential and Integral ... Equations, Springer-Verlag, New York, 1991 Polyanin, A D and Manzhirov, A V., A Handbook of Integral Equations, CRC Press, Boca Raton, 1998 Porter, D and Stirling, D S G., Integral Equations: A Practical...
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Handbook of mathematics for engineers and scienteists part 131 ppsx
... solution of this equation see Paragraph 17.1.1-2 (1) (2) 3◦ Superposition principle Let yn and yn be solutions of two nonhomogeneous linear difference equations with the same left-hand sides and ... The general solution of this equation can be represented as a sum of the general solution of the corresponding homogeneous equation (17.1.6.1) and a particular solution yn of the nonhomogeneous ... 2◦ Superposition principle Let yn and yn be solutions of two nonhomogeneous linear difference equations with the same left-hand side and different right-hand sides: am (n)yn+m + am–1 (n)yn+m–1...
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Handbook of mathematics for engineers and scienteists part 132 pptx
... a and k As a starting point, we take the solution from Item 1◦ corresponding to the special case of the equation with a = 0, k = Consecutive utilization of the formulas from Items 3◦ and 4◦ of ... an equation of the form (17.2.1.1) with the help of the transformation z = x/a, y(x) = w(z) And we obtain w(z + 1) – f (az)w(z) = 17.2.1-2 Linear difference equations with rational and exponential ... particular solutions of some homogeneous linear difference equations with rational and exponential functions Their general solutions can be obtained as a product of a particular solution and an arbitrary...
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Handbook of mathematics for engineers and scienteists part 133 pps
... where [x] and {x} denote, respectively, the integer and the fractional parts of x (x = [x] + {x}); the product and the sum over the empty index set (for [x] = 0) are assumed equal to and 0, respectively ... y(x) is a particular solution of equation (17.2.2.15) The general solution of the homogeneous equation is defined by the right-hand side of (17.2.2.11) Every solution of equation (17.2.2.15) is uniquely ... As one of the equations to determine the functions ϕ1 (x) and ϕ2 (x) we take y1 (x + 1)Δϕ1 (x) + y2 (x + 1)Δϕ2 (x) = (17.2.2.19) In view of the above considerations, from (17.2.2.16) and (17.2.2.18)...
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Handbook of mathematics for engineers and scienteists part 134 ppsx
... characterizes the order of their growth for large values of the argument The class of functions of exponential growth of finite degree σ is denoted by [1, σ] and is defined as the set of all entire functions* ... solution y(x) ≡ The set E of all singular points of equation (17.2.3.13) consists of points of three classes: 1) zeroes of the function a0 (x), denoted by μ1 , μ2 , ; 2) zeroes of the function am ... particular solution of the nonhomogeneous equation (17.2.3.22) The general solution of the homogeneous equation is defined by the right-hand side of (17.2.3.15) Every solution of equation (17.2.3.22)...
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Handbook of mathematics for engineers and scienteists part 135 pps
... Linear Functional Equations 17.3.1 Iterations of Functions and Their Properties 17.3.1-1 Definition of iterations Consider a function f (x) defined on a set I and suppose that f (I) ⊂ I (17.3.1.1) A ... [n+m] (x) 908 DIFFERENCE EQUATIONS AND OTHER FUNCTIONAL EQUATIONS 17.3.1-2 Fixed points of a function Some classes of functions A point ξ is called a fixed point of the function f (x) if f (ξ) = ... 17.3.1-3 Asymptotic properties of iterations in a neighborhood of a fixed point 1◦ Let f (0) = 0, < f (x) < x for < x < x0 , and suppose that in a neighborhood of the fixed point the function...
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Handbook of mathematics for engineers and scienteists part 136 docx
... construction of monotone solutions of the Abel equation (17.3.3.5) Assume that the function f (x) is continuous, strictly increasing on the segment [0, a], and the following conditions hold: f (0) = and ... ∞) by ϕ(y) = f [n] ϕ0 ({y}) , n = [y], (17.3.3.8) where [y] and {y} are, respectively, the integer and the fractional parts of y, and ϕ0 (y) is any continuous strictly decreasing function on ... (y – n) , n ≤ y < n + 1, (17.3.3.9) and therefore is continuous and strictly decreasing, being a superposition of continuous strictly increasing functions and a continuous strictly decreasing...
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Handbook of mathematics for engineers and scienteists part 137 docx
... exist a and b such that ϕ(a) = a, F (a, b) = b; 2) the function ϕ(x) is analytic in a neighborhood of a and |ϕ (a)| < 1; 3) the function F is analytic in a neighborhood of the point (a, b) and | ... b)j , i,j=1 and (17.4.4.2) into equation (17.4.4.1) Gathering the terms with the same powers of the difference ξ = (x – a) and then equating to zero the coefficients of different powers of ξ, we ... VARIABLES Let us expand (17.5.1.1) in powers of the small parameter a in a neighborhood of a0 , taking into account (17.5.1.2), and then divide the resulting equation by a – a0 and pass to the limit...
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Handbook of mathematics for engineers and scienteists part 138 docx
... (17.5.5.12) Here, one of the two functions f (t) and ψ(t) is prescribed and the other is assumed unknown; also one of the functions g(x) and ϕ(x) is prescribed and the other is unknown, and the functions ... equations often arise when the method of functional separation of variables is used for finding solutions of nonlinear equations of mathematical physics 1◦ Consider a functional equation of the ... EQUATIONS AND OTHER FUNCTIONAL EQUATIONS 17.5.4 Method of Argument Elimination by Test Functions 17.5.4-1 Classes of equations Description of the method Consider linear functional equations of the...
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Handbook of mathematics for engineers and scienteists part 139 potx
... D and Manzhirov, A V., Handbook of Integral Equations: Exact Solutions (Supplement Some Functional Equations) [in Russian], Faktorial, Moscow, 1998 Polyanin, A D and Zaitsev, V F., Handbook of ... (Sections S.4 and S.5), Chapman & Hall/CRC Press, Boca Raton, 2004 Polyanin, A D., Zaitsev, V F., and Zhurov, A I., Methods for the Solution of Nonlinear Equations of Mathematical Physics and Mechanics ... [in Russian], Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 1997 936 DIFFERENCE EQUATIONS AND OTHER FUNCTIONAL EQUATIONS Pelyukh, G P and Sharkovskii, O M.,...
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Handbook of algorithms for physical design automation part 13 potx
... inequality of Equation 6.46 is clearly a posynomial in terms of l, w, and the auxiliary variables r1 and r2 By construction, all the elements of φ1 are posynomials, and all the nonzero elements of φ2 ... Wolkowicz, H., Saigal, R., and Vandenberghe, L., Handbook of Semidefinite Programming: Theory, Algorithms and Applications, Kluwer Academic Press, pp 163–188, 1999 Alpert/Handbook of Algorithms for Physical ... we neglect the interconnect delay and the effect of drain and source capacitances of the driver gate Applying the Elmore delay model to the gates of circuit of Figure 6.1, we can write the delay...
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Báo cáo toán học: " Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions" ppt
... E(u0 ) < and u0 = By the genus theorem, similarly in the proof of Theorem 4.3 in [18], we have the following: Theorem 3.3 Let the hypotheses of Theorem 3.2 hold, and let, in addition, f and g satisfy ... Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions Erlin Guo∗ and Peihao Zhao School of Mathematics and Statistics, ... ), (H2 ) and the following conditions hold true: (b+ ) b(t) ≥ for t ≥ (f+ ) f (x, t) ≥ for x ∈ Ω and t ≥ (g+ ) g(x, t) ≥ for x ∈ ∂Ω and t ≥ (f2 )+ There exist an open subset Ω0 of Ω and r1 >...
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Báo cáo hóa học: " Research Article Oscillatory Property of Solutions for p(t)-Laplacian Equations" ppt
... the solutions of (1.1) are oscillatory Proofs of main results In the following, we denote −(ϕ(t,u )) = −(|u | p(t)−2 u ) , and use Ci and ci to denote positive constants Proof of Theorem 1.1 ... “Averaging of functionals of the calculus of variations and elasticity theory,” Mathematics of the USSR Izvestija, vol 29, no 1, pp 33–36, 1987 [7] R P Agarwal and S R Grace, “On the oscillation of certain ... p(t) satisfies N < inf p(x), and limt→+∞ p(t) = p, p(t), q(t), and θ(t) satisfies the conditions of Theorem 1.2, then every radial solution of (3.1) is oscillatory t Proof Denote s = τ (1−N)/(p(τ)−1)...
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Báo cáo hóa học: " Research Article Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations" pdf
... (2.10) By the periodicity of {xn } and f (t,u,v,w) in the first variable t, we reduce the existence of periodic solutions of (1.1) to the existence of critical points of J on Eqm That is, the ... finite dimensional, there exists a subsequence of {x(k) }, which is convergent in Eqm and the P-S condition is verified Proof of Theorem 3.1 The proof of Lemma 3.2 implies lim x →∞ J(x) = −∞, then ... University of Science and Technology, Yunnan 650093, China Email address: pengchen729@sina.com Hui Fang: Department of Applied Mathematics, Faculty of Science, Kunming University of Science and Technology,...
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF SUPERLINEAR p-LAPLACIAN EQUATIONS" potx
... everywhere in Ω (2.15) A class of superlinear p-Laplacian equations Proof of the theorems Proof of Theorem 1.3 It is well known that to seek a nontrivial weak solution of problem (1.1) is equivalent ... Foundation of China (No 10471113) and by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China References [1] A Ambrosetti and P H ... satisfies the conditions of Theorem 1.3 So by Theorem 1.3, there is a positive solution u > of problem (3.30) and it is also a solution of problem (1.1) by the definition of f1 Next, let us see...
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Báo cáo y học: " Derivation and preliminary validation of an administrative claims-based algorithm for the effectiveness of medications for rheumatoid arthritis"
... authors made substantial contributions to conception and design, and to the analysis and interpretation of the data TRM and GWC handled acquisition of data All authors contributed to the manuscript ... in the population, and more reflective of the test itself, lessening the impact of any unique features of the VA population Moreover, we might expect that the PPV and NPV of the algorithm might ... effective Because of similarities in both the descriptive characteristics of the study populations of biologic and non-biologic DMARD users and the performance characteristics of the effectiveness...
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