integral domains and fields
Integral Equations and Inverse Theory part 7
... to have unit area at every x, giving 818 Chapter 18 Integral Equations and Inverse Theory CITED REFERENCES AND FURTHER READING: Backus, G.E., and Gilbert, F 1968, Geophysical Journal of the Royal ... ≡ q(x) · R (18.6.7) ri (x )dx = i i where q(x) and R are each vectors of length N , the number of measurements Standard propagation of errors, and equation (18.6.1), give B = Var[u(x)] = qi (x)Sij ... y the linear system (W(x) + λS) · y = R, and then substitute y into both the numerators and denominators of 18.6.12 or 18.6.13.) Equations (18.6.12) and (18.6.13) have a completely different...
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Integral Equations and Inverse Theory part 8
... 1985, Astronomy and Astrophysics, vol 144, 381–387 [4] Narayan, R., and Nityananda, R 1986, Annual Review of Astronomy and Astrophysics, vol 24, pp 127–170 [5] Skilling, J., and Bryan, R.K 1984, ... Skilling, J., and Gull, S.F 1985, in Maximum-Entropy and Bayesian Methods in Inverse Problems, C.R Smith and W.T Grandy, Jr., eds (Dordrecht: Reidel) [10] Skilling, J 1986, in Maximum Entropy and Bayesian ... Theories of Science, W.L Harper and C.A Hooker, eds (Dordrecht: Reidel) [1] Jaynes, E.T 1985, in Maximum-Entropy and Bayesian Methods in Inverse Problems, C.R Smith and W.T Grandy, Jr., eds (Dordrecht:...
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Define Tables and Fields
... (+922,337,203,685,477.5807), with accuracy to a tenthousandth of a monetary unit smallmoney Monetary data values from -214,748.3648 through +214,748.3647, with accuracy to a ten-thousandth of a monetary unit float Floating ... + 38 datetime Date and time data from January 1, 1753, through December 31, 9999, with an accuracy of threehundredths of a second, or 3.33 milliseconds smalldatetime Date and time data from January ... globally unique identifier (GUID) o Tip Unicode is a character-encoding standard that uses 16-bit code values This standard is used worldwide to represent all the characters that are used in...
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Tài liệu Integral Equations and Inverse Theory part 1 pptx
... REFERENCES AND FURTHER READING: Delves, L.M., and Mohamed, J.L 1985, Computational Methods for Integral Equations (Cambridge, U.K.: Cambridge University Press) [1] Linz, P 1985, Analytical and Numerical ... integrand K(t, s, f(t), f(s)) Nonlinear Fredholm equations are considerably more complicated than their linear counterparts Fortunately, they not occur as frequently in practice and we shall by and ... nonzero g (or g), equations (18.0.3) and (18.0.4) are soluble except when λ (or σ) is an eigenvalue — because the integral operator (or matrix) is singular then In integral equations this dichotomy...
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Tài liệu Integral Equations and Inverse Theory part 2 docx
... input, a and b are the limits of integration, and n is the number of points used in the Gaussian quadrature g and ak are user-supplied external functions that respectively return g(t) and λK(t, ... input, a and b are the limits of integration, and n is the number of points to use in the Gaussian quadrature g and ak are user-supplied external functions that respectively return g(t) and λK(t, ... equation (18.1.6) and then solves it by LU decomposition with calls to the routines ludcmp and lubksb The Gauss-Legendre quadrature is implemented by first getting the weights and abscissas with...
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Tài liệu Integral Equations and Inverse Theory part 3 ppt
... Delves, L.M., and Mohamed, J.L 1985, Computational Methods for Integral Equations (Cambridge, U.K.: Cambridge University Press) [2] 18.3 Integral Equations with Singular Kernels Many integral equations ... free_matrix(a,1,m,1,m); free_ivector(indx,1,m); 18.3 Integral Equations with Singular Kernels 797 CITED REFERENCES AND FURTHER READING: Linz, P 1985, Analytical and Numerical Methods for Volterra Equations ... product Kii fi replaced by Kii (fi ), and similarly for the other two products of K’s and f’s Thus for each i we solve a nonlinear equation for fi with a known right-hand side Newton’s method (§9.4...
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Tài liệu Integral Equations and Inverse Theory part 4 doc
... CITED REFERENCES AND FURTHER READING: Abramowitz, M., and Stegun, I.A 1964, Handbook of Mathematical Functions, Applied Mathematics Series, Volume 55 (Washington: National Bureau of Standards; reprinted ... h,*wt,xx,cx; 803 18.3 Integral Equations with Singular Kernels − n = 10 n = 20 n = 40 1.5 2.5 x Figure 18.3.1 Solution of the example integral equation (18.3.14) with grid sizes N = 10, 20, and 40 The tabulated ... square brackets equation (18.3.5) each become independent of k, and (18.3.5) in fact reduces to Wn = 800 Chapter 18 Integral Equations and Inverse Theory hh=h; hi=1.0/hh; for (j=1;j
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Tài liệu Integral Equations and Inverse Theory part 5 ppt
... underlying (u stands for both unknown and underlying!) physical process, which we hope to determine by a set of N measurements ci , i = 1, 2, , N The relation between u(x) and the ci ’s is ... , M , where M is sufficiently large, and the xµ ’s are sufficiently evenly spaced, that neither u(x) nor ri (x) varies much between any xµ and xµ+1 (Here and following we will use Greek letters ... Zeroth-Order Regularization 806 Chapter 18 Integral Equations and Inverse Theory (or any other simple quadrature — it rarely matters which) We will view equations (18.4.5) and (18.4.7) as being equivalent...
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Tài liệu Integral Equations and Inverse Theory part 6 docx
... (outside North America) µ=1 812 Chapter 18 Integral Equations and Inverse Theory range < λ < ∞, depending on your relative degree of belief in the a priori and a posteriori evidence (Yes, people ... are used to get in and out of Fourier space each time the Fourier constraint is imposed The specific application of POCS to constraints alternately in the spatial and Fourier domains is also known ... functions uL and uU ) (In this last case, the bounds might be related to an initial estimate and its error bars, e.g., u0 (x) ± γσ(x), where γ is of order or 2.) Notice that these, and similar,...
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Báo cáo khoa học: Functional dissection of Escherichia coli phosphotransacetylase structural domains and analysis of key compounds involved in activity regulation potx
... from CONICET and ´ ´ Agencia Nacional de Promocion Cientı´ fica y Tecnologica M F Drincovich and C S Andreo are members of the Researcher Career of CONICET, and V A Campos-Bermudez and F P Bologna ... containing the DRTGG and the PTA_PTB domains; and Pta-F2, which is 30 amino acids longer than Pta-F1 (Fig 2) The three truncated Ptas were successfully purified to homogeneity (Fig 3), and conserved ... equilibrated with 100 mm phosphate buffer at pH 7.4, and calibrated using molecular mass standards (Sigma-Aldrich, St Louis, MO, USA) The sample and the standards were applied separately in a final volume...
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Báo cáo khoa học: Respective roles of the catalytic domains and C-terminal tail peptides in the oligomerization and secretory trafficking of human acetylcholinesterase and butyrylcholinesterase potx
... catalytic domains are designated by capital letters (A and B), whereas the small t peptides are designated by lower case letters (a and b), so that the wild-type AChE and BChE are Aa and Bb, and the ... Oligomerization and secretion of AChE and BChE Fig Cellular and secreted activities produced by human AChE, BChE and mutants used in the present study (A) Cellular and secreted activities A and B represent ... Oligomerization and secretion of AChE and BChE D Liang et al A B Fig Structures of AChE and BChE t peptides (A) Sequences of the C-terminal t peptides of human AChE and BChE These peptides (a and b) are...
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Báo cáo khoa học: "QUANTIFICATIONAL DOMAINS AND RECURSIVE CONTEXTS" ppt
... interface between the grammatical and the extragrammatical mechanisms involved Work by Sidner and Webber represents one early line of attack on related problems, and recent developments in dynamic...
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Đề tài " The density of discriminants of quartic rings and fields " doc
... quantities D12 and D13 , which by assumption are nonzero Since the coefficients of x4 in R3 (x, y) and R2 (x, z) are D12 and D13 respectively, and R3 (r, s) = R2 (r, t) = 0, it follows that t0 and s0 divide ... b33 and t divides b22 ; hence the number of possibilities for s and t is bounded by the number of factors of b33 and b22 respectively; so s and t can take at most O(X ) values (since b22 and ... λ λ , , 1 and c1 , c2 are absolute constants For example, the well-known fundamental domains in GL2 (R) and GL3 (R) as constructed by Minkowski satisfy these √ conditions for c1 = 2/ and c2 =...
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Báo cáo khoa học: Ribonuclease H: molecular diversities, substrate binding domains, and catalytic mechanism of the prokaryotic enzymes ppt
... H with the substrate and metal ions (yellow) The positions of the RNA strand of the substrate with the scissile phosphate group between R()1) and R(0) and two metal ions A and B are also shown ... Eco-RNase HI) and the backbone atoms of Cys148, Ser150, Asn151 and Met212 (Cys13, Gly15, Asn16 and Gln72 for Eco-RNase HI) Similar contacts are observed between Bha-RNase HI and the RNA strand of the ... HI and human RNase H1 C domain are shown in green and gold, respectively The active-site residues are shown as red balland-stick models The basic protrusion and the phosphate binding pocket and...
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Báo cáo sinh học: " Imperfect DNA mirror repeats in the gag gene of HIV-1 (HXB2) identify key functional domains and coincide with protein structural elements in each of the mature proteins" doc
... of gene and protein The interaction between DNA and protein structure and function is precise and interwoven over the entire length of the protein The distribution of mIMRs and rdIMRs and their ... combined IMRs and functional and structural data The sequence motifs of experimentally determined functional and structural data, and the sequence positions of the translations of mIMRs and rdIMRs ... coincidence of the ends of IMRs and PSEs was tested for several gene segments – MA-CA-p2-NC, MA, CA and NC segments – using Fisher's exact test (FET) [20] The Kabsch and Sander [21] secondary structure...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
... real numbers as R, and R+ = [0, ∞) is a subset of R Dom(f) and Im(f) denote the definition domain and the image of f, respectively Theorem 2.1: Assume that x, a Ỵ C(R+, R+) and a(t) is nondecreasing ... are defined as in Theorem 2.1, and a(0) > ψ(φ −1 (s)) t0 t0 >0 If x Ỵ C(R+, R+) satisfies the following integral inequality containing multiple integrals (0, ∞) and α1 (t) φ(x(t)) ≤ a(t) + α2 ... Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 11 of 15 Then z(x0 , y) ≤ J−1 [v(x0 , y)], (41) and...
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Báo cáo hóa học: "Research Article Integral Equations and Exponential Trichotomy of Skew-Product Flows" doc
... Mathematical a Analysis and Applications, vol 129, no 2, pp 362–374, 1988 S Elaydi and O H´ jek, “Exponential dichotomy and trichotomy of nonlinear differential equations,” a Differential and Integral Equations, ... Massera and J J Schă er, Linear Dierential Equations and Function Spaces, vol 21 of Pure and a Applied Mathematics, Academic Press, New York, NY, USA, 1966 13 S.-N Chow and H Leiva, “Existence and ... x ∈ X : sup Φ θ, t x < ∞ and there is ϕ ∈ J θ with ϕ x and sup ϕ t < ∞ t≥0 t≤0 2.4 called the bounded subspace and, respectively, U θ x ∈ X : there is ϕ ∈ J θ with ϕ x and lim ϕ t t → −∞ 2.5 called...
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Báo cáo hóa học: " Research Article Stability of a Jensen Type Logarithmic Functional Equation on Restricted Domains and Its Asymptotic Behaviors" pdf
... in restricted domains for the Jensen functional equation 11 and Jensen type functional equations 14 The results can be summarized as follows: let X and Y be a real normed space and a real Banach ... with k / or s / 0, and d ∈ R Also we obtain asymptotic behaviors of the inequalities 1.4 and 1.9 as xk ys → ∞ and kx sy → ∞, respectively Hyers-Ulam Stability in Restricted Domains We call the ... p / P and p or P is a rational number, or q / Q and q or Q is a rational number Theorem 2.3 Let , d > 0, k, s ∈ R, k/p / s/q Suppose that p / P and p or P is a rational number, or q / Q and q...
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Báo cáo hóa học: " Research Article A New Nonlinear Retarded Integral Inequality and Its Application" docx
... differential and integral equations It is desirable to establish new inequalities of the above type, which can be used more effectively in the study of certain classes of retarded differential and integral ... ω x, y by the right-hand side of 2.9 , then ω x, y is Journal of Inequalities and Applications a positive and nondecreasing function in each variable, θ x, y ≤ Φ−1 ω x, y and ω x0 , y αi X βi ... fixed, let ψ z x, y z x, y , ϕi z x, y then integral equation 3.1 reduces to integral equation 1.7 in 10 Corollary 3.1 Consider integral equation 3.1 and suppose that |gi x − s, t | ≤ fi s, t...
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