solution of equations of the second kind on the semiaxis
Consolidation Chareteristics based on a direct analytical solution of the Terzaghi Theory
... evaluating the coefficient of consolidation and end of primary settlement based on a direct solution of the Terzaghi theory This new method determines the coefficient of consolidation utilizing the ... Comparison of the values of the coefficient of consolidation using the proposed, Taylor and Casagrande methods Figure shows the graphical presentation of Eq for two sets of consolidation data ... study confirms that the identification of the experimental range of primary consolidation that corresponds to the Terzaghi theory is of primary importance for a realistic determination of the coefficient...
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Báo cáo hóa học: "Research Article Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations" pot
... bounds on the solutions of coupled Lyapunov and Riccati equations, ” Linear Algebra and Its Applications, vol 235, pp 247–259, 1996 13 C.-H Lee, “Eigenvalue upper bounds of the solution of the continuous ... Transactions on Automatic Control, vol 42, no 1, pp 118–123, 1997 15 C.-H Lee, On the upper and lower bounds of the solution for the continuous Riccati matrix equation,” International Journal of Control, ... equation,” IEEE Transactions on Automatic Control, vol 42, no 9, pp 1268–1271, 1997 14 C.-H Lee, “New results for the bounds of the solution for the continuous Riccati and Lyapunov equations, ”...
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Báo cáo hóa học: " Research Article On the Solution of the Rational Matrix Equation X = Q + LX −1LT" potx
... examples As the iterates Xi converge not only to the solution of the DARE (5), but also to the solution of (1), the iteration is run until Xi − Q − LXi−1 LT Xi F F < tol (57) The average number of iterations ... subscripts for each approach.) The third idea is to compute the desired solution via the unique solution X∗ of the DARE The solution X∗ can be found by direct application of Newton’s method for DAREs ... operations in order to compute the solution of the Riccati equation (and is therefore cheaper than the QZ algorithm which requires about 422n3 arithmetic operations) The cost of the different steps of...
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A suggested analytical solution of oblique crack effect on the beam vibration
... using the characteristic equation The objective of this paper is to study the effect of crack orientation, depth and position on the natural frequency of the beam by using of analytical solution of ... and, w, d are the width and depth of the beam, x is the position along the beam, and xc the position of the crack and, α is a constant equal to (0.667), [11] To adding the effect of the oblique ... effect on the stiffness of the beam, this will affect the frequency of the beam, so with increasing of the crack depth this will cause a decreasing the natural frequency of the beam The position of...
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báo cáo hóa học:" Research Article Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation" doc
... certain weak conditions, we can estimate the rate of convergence of the sequence of projections For this purpose, consider the dense subset {ti }i≥1 of distinct points in 0, and let Tn be the set {t1 ... v, s, y s ds dv 1.3 Section shows that operator T satisfies the hypothesis of the Banach fixed point theorem and thus the sequence {T m z0 }m∈N converges to the solution z of 1.1 for any z0 ∈ C 0, ... Approximating the Solution We now turn to the main purpose of this paper, that is, to approximate the unique fixed point of the nonlinear operator T : C 0, → C 0, given by 1.3 , with the adequate conditions...
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Báo cáo toán học: "The solution of the Ar T-system for arbitrary boundary" potx
... plane of the six local configurations of the boundary of the Ar T-system and the corresponding local arrow configurations of the dual 6V model We have indicated for each configuration the corresponding ... The multiplication of two matrices is naturally coded by the concatenation of their networks, by identifying the right vertices of the network of the first matrix to the left ones of that of the ... generalization of the frieze result By analogy with the frieze solution, let us define the projection of (1, j, k) on the boundary as the portion of the boundary between the edge fj−k+1 and the edge...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
... σb g The Statement of Main Theorem We begin this section with a definition of the solution of 1.1 Definition 2.1 A continuous function x : R → R is called a solution of 1.1 if the following conditions ... both solutions qx t f t can be constructed by the solutions of 1.1 and equation x t px t − of corresponding difference equations However, noticing the difference between t and t /2 , the solution of ... Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications,...
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báo cáo hóa học: " On the regularity of the solution for the second initial boundary value problem for hyperbolic systems in domains with conical points" pptx
... where C is a constant independent of u and f Proof From the assumptions on the regularities of the coefficients apq and of the function f it follows that the solution (cN (t))N of the system (3.5), ... basis of Hm(Ω) which is orthonormal in L2(Ω) Put k=1 N uN (x, t) = cN (t)ϕk (x), k k=1 where (cN (t))N are the solution of the system of the following ordinary differential k k=1 equations of second ... prove the main theorems of this section Theorem 3.3 Let h be a nonnegative integer Assume that all the coefficients apq together with their derivatives with respect to t are bounded on Q Then there...
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Tài liệu Báo cáo khoa học: Interaction between very-KIND Ras guanine exchange factor and microtubule-associated protein 2, and its role in dendrite growth – structure and function of the second kinase noncatalytic C-lobe domain docx
... for the very -KIND- MAP2 interaction A 37–217 456–620 KIND1 KIND2 v -KIND KIND1 KIND2 KIND1 +2 ΔRasN ΔGEF KIND1 KIND2 KIND1 -Flag RasN KIND2 -Flag 1461–1734 1742 GEF KIND1 +2-Flag dendrite axon ... KIND1 , KIND2 , coiled-coil (CC), RasN and RasGEF domains Flag-tagged v -KIND derivatives: v -KIND, full-length v -KIND; DKIND1, deletion of KIND1 ; DKIND2, deletion of KIND2 ; DKIND1 + 2, deletion of both ... both KIND1 and KIND2 ; DRasN, deletion of RasN; DGEF, deletion of RasGEF; KIND1 , KIND1 domain; KIND2 , KIND2 domain (B) KIND2 domain anchors v -KIND to dendrites Flag-tagged v -KIND, DKIND1, DKIND2,...
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Báo cáo " On equations of motion, boundary conditions and conserved energy-momentum of the rigid string " doc
... Journal of Science, Mathematics - Physics 24 (2008) 111-118 118 Conclusion The equations of motion, of the boundary conditions and of the energy - momentum for the classical rigid string are reconserved ... by solving for q˙2 The function q˙2 is unique because we have fixed the gauge The equations of motion (13) are equivalent to the following set of Hamilton equations of motion: ¯ H = −p1aq2a − ... x The considerations of section can be repeated with the only difference that the index → where x i µ = 0, 1, 2, is now replaced by the index i = 1, 2, In particular ,the equations of motion...
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Proceedings of the Second International Workshop on Library-Centric Software Design (LCSD ''''06) docx
... for the application of a convolution filter to an image As the size and the values of the convolution matrix are known at the runtime code generation stage, the two inner loops of the convolution ... in the parameterized string For example, in the specification of the forwards to construct of the driver construct, the lexeme of the terminal s is the parameter to the Class.forName construct The ... defined in the extensions and the “host” language They need not know about the implementation of the host language or the extensions The specifications for the selected language extensions and the host...
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Báo cáo khoa học: ATP-binding domain of heat shock protein 70 is essential for its effects on the inhibition of the release of the second mitochondria-derived activator of caspase and apoptosis in C2C12 cells potx
... respect to the role of HSP70 in the inhibition of the release of Smac and apoptosis GAPDH Ratio of HSP70 to GAPDH 14 # 12 # 10 * The role of the ATP-binding domain of HSP70 in the prevention of the ... domain of HSP70 is essential for the inhibition of H2O2-induced activation of caspases-9 and -3 and apoptosis (A) The effects of HSP70 and its deletion mutant proteins on the activation of caspases-9 ... cytotoxicity The protective effects of HSP70 were correlated with the level of HSP70 expression because the clone with higher HSP70 expression demonstrated a more significant reduction of the apoptotic...
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the effect of the hydrothermal treatment with aqueous naoh solution on the photocatalytic and photoelectrochemical propertiesof visible light-responsive TiO2thin films
... modification of the electronic properties, thus, enabling the absorption of visible light Fig shows the anodic photocurrent of the NaOH(X)-VisTiO2/Ti electrode as a function of the hydrothermal treatment ... aqueous solution These measurements were carried out with a bias of +1.0 V versus SCE in 0.25 M K2SO4 161 aqueous solution The observed photocurrents correspond to the oxidation of H2O by the photoformed ... transformation of Vis-TiO2 thin film into the inactive TiO2 nanowires having high surface areas Fig shows the effect of the hydrothermal treatment on the XRD patterns of Vis-TiO2/Ti The intensity of the...
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Estimating the Internal Rate of Return on an MBA: A Comparison of the Return from Top-Ranked & Second-Tier Programs potx
... (August/September) of the first year and graduate at the conclusion of the spring semester (usually May) of the second year Thus, the initial investment is represented by the two years of tuition and fees ... pre-MBA income will be one of the determinants of his/her incremental income The other, the post-MBA income, is a function of the school, the candidate, and the state of the economy (GDP growth rate, ... use the information as part of their decision- making processes The assumption in using survey data is that there is no non-response bias The results derived from the limited response rate are the...
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Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... n−1 For the calculation of the PDF of the capacity of N ∗Nakagami-m channels, we need to find the PDF pΞ2 (z) of the squared N ∗Nakagami-m process Ξ2 (t) Furthermore, for the calculation of the LCR ... of the Nakagami parameters, controlling the severity of fading in different links of the multihop communication system The results show that an increase in the number of hops or the severity of ... discuss the analytical results obtained in the previous sections The validity of the theoretical results is confirmed with the help of simulations For comparison purposes, we have also shown the results...
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Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... investigate the boundedness property of the solutions of linear and nonlinear discrete Volterra equations in both convolution and non-convolution case Strong interest in these kind of discrete equations ... equations are investigated, moreover the boundedness and estimation of the solutions are founded by using the resolvent of the equations This article studies the boundedness of the solution of ... sufficient, condition for the boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively The next result provides a sufficient condition for the boundedness of solutions of (1.1) Theorem...
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Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations" pptx
... EM: On the solutions of a class of difference equations systems Demonstratio Mathematica 41(1), :109–122 (2008) 32 Elsayed, EM: On the solutions of a rational system of difference equations Fasciculi ... behavior of a three-dimensional linear fractional system of difference equations J Math Anal Appl 310, 673–689 (2005) Özban, AY: On the positive solutions of the system of rational difference equations ... behavior of solutions of the system of difference equations xn+1 = a + xn c + yn e + zn , yn+1 = , zn+1 = b + yn d + zn f + xn In [8], Özban studied the positive solutions of the system of rational...
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báo cáo hóa học: " On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point" pdf
... (r) ≡ because of the continuity of the function qn1j on (0, R) In such a case, the ˜ n satisfy the equation ln (qn2j ) = For the same ˜ elements of the second row of matrix Q ˜ reason as above, ... particular solutions of system (9) We seek for a solution Q n(r) of system (12), which satisfies condition Q(R) = E, where E is the unit matrix To this end, on the set of functions ψ bounded on the ... condition (11) and is bounded in R ∪ SR of Equation 9, such that it R The properties of particular solutions of Equation m Let Hn (x) be mth the harmonic of a homogeneous harmonic polynomial of...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... asymptotic solutions to second order linear difference equations in the first case For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order ... finite Equation 3.10 is a inhomogeneous second- order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated ... Difference Equations 3.2 The Error Bound for the Asymptotic Expansion of y2 (n) Now we estimate the error bound of the asymptotic expansion of the linear independent solution y2 n to the original...
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báo cáo hóa học:" Research Article Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval" pot
... will use the cone theory and monotone iterative technique to investigate the existence of minimal nonnegative solution for a class of second- order nonlinear impulsive differential equations on an ... nonnegative solution of the following initial value problem for a second order nonlinear impulsive integrodifferential equation of Volterra type on an infinite interval with an infinite number of ... Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality PHR201008430 , the Scientific Research Common Program of Beijing Municipal Commission of Education KM201010772018 , the...
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