2—stress wave methods for structures

Handbook of Residue Analytical Methods for Agrochemicals VOLUME 1 and VOLUME 2 doc

Handbook of Residue Analytical Methods for Agrochemicals VOLUME 1 and VOLUME 2 doc

Ngày tải lên : 17/03/2014, 02:20
... of European standard (CEN) methods Scope and format of CEN methods CEN requirements for widely accepted multi-matrix/multi-residue methods Requirements for (newer) methods with limited scope ... monitoring (enforcement) methods General requirements Specific requirements Requirements for data generation methods General requirements Specific requirements Availability of analytical methods Perspectives ... recommendation for use Conclusion References Validation of analytical methods for post-registration control and monitoring purposes in the European Union Lutz Alder Introduction Evaluation of enforcement methods...
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Báo cáo hóa học: "Research Article Time-Frequency and Time-Scale-Based Fragile Watermarking Methods for Image Authentication Braham Barkat1 and Farook Sattar (EURASIP Member)2 1 Department 2 Faculty" pdf

Báo cáo hóa học: "Research Article Time-Frequency and Time-Scale-Based Fragile Watermarking Methods for Image Authentication Braham Barkat1 and Farook Sattar (EURASIP Member)2 1 Department 2 Faculty" pdf

Ngày tải lên : 21/06/2014, 08:20
... watermarking method, and discuss its performance through some selected examples In Section 4, we present a brief review of the discrete wavelet transform and introduce the wavelet based watermarking method ... Step (discrete wavelet transform of the original image) A level l (in the following analysis we use l = 3) DWT of the original image I is performed using Harr bases The obtained wavelet coefficients ... under consideration Note that for an image of size (256 × 256), (p, q) ∈ [1, , 128] for l = 1, whereas (p, q) ∈ [1, , 64] for l = and (p, q) ∈ [1, , 32] for l = 3, respectively In order...
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Quantitative Methods for Business chapter 2 doc

Quantitative Methods for Business chapter 2 doc

Ngày tải lên : 06/07/2014, 00:20
... microwave ovens They have bid £48 m for the company and expect their offer to be accepted The microwave ovens are sold for £85 and variable costs amount to £25 per unit 76 Quantitative methods for ... needed will be the amount required for Anelle production added to the amount required for Emir production: Concentrate required ϭ 0.08x ϩ 0.1y 52 Quantitative methods for business Chapter The concentrate ... quantity of the second 58 Quantitative methods for business Chapter product made Since we not know the level of output for each product when we represent or formulate the problem, indeed the point...
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Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 2 pptx

Quantitative Methods for Ecology and Evolutionary Biology (Cambridge, 2006) - Chapter 2 pptx

Ngày tải lên : 06/07/2014, 13:20
... is that in the former neither the searcher nor evader has any information about the location of the other (except for non-capture), while in the latter panel the evader is given information about ... stop reading just now, go to a computer and plot the trajectories for N(t) given by the formula for N(t) in the previous exercise, for a variety of values of r – let r range from 0.4 to about 3.5 ... n makes it especially simple to solve by putting it into a form similar to the von Bertalanffy equation for length? (See Connections for even more general growth and allometry models.) 29 30 Topics...
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Advanced Mathematical Methods for Scientists and Engineers Episode 1 Part 2 ppt

Advanced Mathematical Methods for Scientists and Engineers Episode 1 Part 2 ppt

Ngày tải lên : 06/08/2014, 01:21
... exists for f (x), we know that for all > there exists δ > such that |f (x) − φ| < for |x − ξ| < δ Likewise for g(x) We seek to show that for all > there exists δ > such that |f (x)g(x) − φγ| < for ... y(x) = for x ∈ Z, for x ∈ Z For what values of ξ does limx→ξ y(x) exist? First consider ξ ∈ Z Then there exists an open neighborhood a < ξ < b around ξ such that y(x) is identically zero for x ... of “arbitrarily close” precise For any > there exists a δ > such that |y(x) − ψ| < for all < |x − ξ| < δ That is, there is an interval surrounding the point x = ξ for which the function is within...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 1 pps

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 1 pps

Ngày tải lên : 06/08/2014, 01:21
... that the Cauchy-Riemann equations are satisfied for z = Note that the form fx = −ıfy will be far more convenient than the form ux = v y , uy = −vx 404 for this problem fx = 4(x + ıy)−5 e−(x+ıy) −ıfy ... parts of f (z) = u + ıv u= x4/3 y 5/3 x2 +y for z = 0, , for z = v= x5/3 y 4/3 x2 +y The Cauchy-Riemann equations are ux = v y , uy = −vx 410 for z = 0, for z = We calculate the partial derivatives ... not differentiable at z = = lim cos θ sin Solution 8.12 u= x3 −y x2 +y for z = 0, , for z = v= 411 x3 +y x2 +y for z = 0, for z = The Cauchy-Riemann equations are ux = v y , uy = −vx The partial...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 2 pptx

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 2 pptx

Ngày tải lên : 06/08/2014, 01:21
... arg(z)/2 = √ r eıθ/2 The Cauchy-Riemann equations for polar coordinates and the polar form f (z) = R(r, θ) eıΘ(r,θ) are Rr = We calculate the derivatives for R = √ R Θθ , r Rθ = −RΘr r r, Θ = θ/2 Rr ... coordinates hold We have demonstrated the equivalence of the two forms We verify that log z is analytic for r > and −π < θ < π using the polar form of the Cauchy-Riemann equations Log z = ln r + ıθ 1 ... D2 is a region or an arc and that f1 (z) = f2 (z) for all z ∈ D1 ∩ D2 (See Figure 9.4.) Then the function f (z) = f1 (z) for z ∈ D1 , f2 (z) for z ∈ D2 , is analytic in D1 ∪ D2 D1 D2 D1 D2 Figure...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 3 ppt

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 3 ppt

Ngày tải lên : 06/08/2014, 01:21
... [ıθ]2π for n = −1 = for n = −1 ı2π for n = −1 for n = −1 We parameterize the contour and the integration z − z0 = ı2 + eıθ , 2π n ı2 + eıθ (z − z0 ) dz = C =   (ı2+eıθ )n+1  n ı eıθ dθ 2π for ... z 1/2 , − log z + const Assuming that the above expression is non-singular, we have found a formula for writing the analytic function in terms of its real part, u(r, θ) With the same method, we ... cos t, y = sin t for ≤ t ≤ π π x2 dx + (x + y) dy = C cos2 t(− sin t) + (cos t + sin t) cos t dt π = − 10.2 Contour Integrals Limit Sum Definition We develop a limit sum definition for contour integrals...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 4 ppsx

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 4 ppsx

Ngày tải lên : 06/08/2014, 01:21
... n→∞ for some constant a If the limit does not exist, then the sequence diverges Recall the definition of the limit in the above formula: For any > there exists an N ∈ Z such that |a − an | < for ... converges if and only if for any > there exists an N such that |an − am | < for all n, m > N The Cauchy convergence criterion is equivalent to the definition we had before For some problems it is ... = −1 See Figure 11.6 We deform C onto C1 and C2 = C + C1 520 C2 -4 C1 C2 -2 C -2 -4 Figure 11.5: The contours for (z +z+ı) sin z z +ız We use the Cauchy Integral Formula to evaluate the integrals...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 5 pps

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 5 pps

Ngày tải lên : 06/08/2014, 01:21
... is convergent for |z| < and uniformly convergent for |z| ≤ r < Note that the domain of convergence is different than the series for log(1 − z) The geometric series does not converge for |z| = 1, ... , 556 n , for |z| < |ζ| for |z| < |ζ| (12.4) On the C1 contour, |ζ| < |z| Thus − 1/z = ζ −z − ζ/z = z ∞ n=0 ∞ n = n=0 −1 ζ z n , ζ , z n+1 = n=−∞ zn ζ n+1 for |ζ| < |z| for |ζ| < |z| for |ζ| < ... Taylor series for f (z) termwise is actually the Taylor series for f (z) and hence argue that this series converges uniformly to f (z) for |z − z0 | ≤ ρ < R Find the Taylor series for (1 − z)3...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 6 doc

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 6 doc

Ngày tải lên : 06/08/2014, 01:21
... ) = = = for x = 2πk for x = 2πk 1−eınx 1−eıx for x = 2πk e−ıx/2 − eı(N −1/2)x e−ıx/2 − eıx/2 for x = 2πk e−ıx/2 − eı(N −1/2)x −ı2 sin(x/2) = N −1 sin(nx) = n=1 for x = 2πk for x = 2πk for x = ... integral converges only for absolutely for (α) ≤ 1 dx = |xα | ∞ 1 x (α) dx = [ln x]∞ x1− (α) 1− (α) for (α) = 1, for (α) = ∞ (α) > Thus the harmonic series converges absolutely for 589 (α) > and diverges ... 1)(z − 1)n for |z − 1| < n=0 We integrate Log ζ from to z for in the circle |z − 1| < z Log ζ dζ = [ζ Log ζ − ζ]z = z Log z − z + 1 The series we derived for Log z is uniformly convergent for |z...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 7 pdf

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 7 pdf

Ngày tải lên : 06/08/2014, 01:21
... 619 for |z| < − 1/2 = z−2 − z/2 ∞ = n=0 ∞ n = n=0 − z z , 2n+1 n for |z/2| < , for |z| < 1/z =− z−2 − 2/z =− z ∞ n=0 ∞ z n , 2n z −n−1 , =− for |2/z| < for |z| > n=0 −1 2−n−1 z n , =− n=−∞ 620 for ... (−ı2z)n , = ı2 for | − ı2z| < n=0 ∞ (−ı2)n+1 z n , =− for |z| < 1/2 n=0 1/z = z − ı/2 − ı/(2z) = z ∞ n=0 ∞ = n=0 −1 = n=−∞ ı 2z ı n ı n , for |ı/(2z)| < z −n−1 , for |z| < −n−1 zn, for |z| < −1 ... = zn, + z n=0 for < |z| < ∞ zn, = + z n=−1 623 for < |z| < (b) 1 = + z(1 − z) z 1−z 1 = − z z − 1/z = 1 − z z =− z ∞ n=0 z n , for |z| > ∞ z −n , for |z| > n=1 −∞ zn, =− n=−2 624 for |z| > (c)...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 8 pot

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 8 pot

Ngày tải lên : 06/08/2014, 01:21
... Sine and Cosine Example 13.9.1 For real-valued a, evaluate the integral: 2π f (a) = dθ + a sin θ What is the value of the integral for complex-valued a Real-Valued a For −1 < a < 1, the integrand ... exists For |a| = 1, the integrand has a second order pole on the path of integration For |a| > the integrand has two first order poles on the path of integration The integral is divergent for these ... the integral converges except for real-valued a satisfying |a| ≥ On any closed subset of C \ {a ∈ R | |a| ≥ 1} the integral is uniformly convergent Thus except for the values {a ∈ R | |a| ≥ 1},...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 9 ppt

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 9 ppt

Ngày tải lên : 06/08/2014, 01:21
... the integrand for several values of α Note that the integral exists for all nonzero real α and that lim+ α→0 and −1 dx = ıπ x − ıα 1 dx = −ıπ α→0 −1 x − ıα The integral exists for α arbitrarily ... log(z − zk ) k=1 C The value of the logarithm changes by ı2π for the terms in which zk is inside the contour Its value does not change for the terms in which zk is outside the contour = ı2π = ı2π ... (−1)n+1 z 2n = n=−∞ This geometric series converges for | − 1/z | < 1, or |z| > The series expansion of f (z) is z4 = (−1)n+1 z 2n z + n=−∞ for < |z| < ∞ Solution 13.7 Method 1: Residue Theorem...
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Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 10 ppt

Advanced Mathematical Methods for Scientists and Engineers Episode 2 Part 10 ppt

Ngày tải lên : 06/08/2014, 01:21
...   is divergent for c > 1, for c < 1, for − ≤ c ≤ In terms of F (a, b), this is  = √(aaπ )3 −b   F (a, b) = − √ aπ (a2 −b )    is divergent for a/b > 1, for a/b < 1, for − ≤ a/b ≤ Complex-Valued ... Complex-Valued Parameters Consider π G(c) = dθ , (c + cos θ)2 759 for complex c Except for real-valued c between −1 and 1, the integral converges uniformly We can interchange differentiation and integration ... log2 z, zk f (z) log z dz = ı2π C k=1 If f (z) z α as z → for some α > −1 then the integral on C will vanish as → f (z) z β as z → ∞ for some β < −1 then the integral on CR will vanish as R →...
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Advanced Mathematical Methods for Scientists and Engineers Episode 3 Part 2 potx

Advanced Mathematical Methods for Scientists and Engineers Episode 3 Part 2 potx

Ngày tải lên : 06/08/2014, 01:21
... ln t + ct , A = −2 For positive A, the solution is bounded at the origin only for c = For A = 0, there are no bounded solutions For negative A, the solution is bounded there for any value of c ... α→∞ α − 1 for x = 0, = for x > lim y(x) = lim α→∞ This behavior is shown in Figure 14.10 The first graph plots the solutions for α = 1/128, 1/64, , The second graph plots the solutions for α = ... lim x→∞ c + βx β =0 = lim αx x→∞ α eαx e For β = λ = 1, the solution is y= e−x +c e−αx (c + x) e−x α−1 828 for α = 1, for α = 1 Figure 14.9: The Solution for a Range of α The solution which satisfies...
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Advanced Mathematical Methods for Scientists and Engineers Episode 4 Part 2 pps

Advanced Mathematical Methods for Scientists and Engineers Episode 4 Part 2 pps

Ngày tải lên : 06/08/2014, 01:21
... series is uniformly convergent The series is uniformly convergent in a domain if for any given > there exists an N , independent of z, such that N |f (z) − SN (z)| = f (z) − an (z) < n=1 for all z ... fundamental set of solutions at x = That is, for the first solution we choose a0 = and a1 = 0; for the second solution we choose a0 = 0, a1 = The difference equation for y1 is n−λ an+2 = an , a0 = 1, a1 ... irregular singular point in the equation for u(t), z = ∞ is an irregular singular point in the equation for w(z) Solution 23.5 Find the series expansions about z = for z−1 w + w = 4z 8z We see that...
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Advanced Mathematical Methods for Scientists and Engineers Episode 5 Part 2 docx

Advanced Mathematical Methods for Scientists and Engineers Episode 5 Part 2 docx

Ngày tải lên : 06/08/2014, 01:21
... 1642 for even n for odd n Uniform Convergence of the Series We assumed before that the series expansion of The behavior of cn and Jn are cn (ζ) = 2n−1 n! + O(ζ −n ), ζ n+1 Jn (z) = ζ−z is uniformly ... (m−n)! for m ≥ n for m < n The expression for J−n is then ∞ z (−1)m J−n (z) = m!(m − n)! m=n ∞ = (−1)m+n z (m + n)!m! m=0 −n+2m n+2m = (−1)n Jn (z) Thus we have that J−n (z) = (−1)n Jn (z) for integer ... (z) for non-integer ν In particular we note that there are two solutions of the Frobenius form when ν is a half odd integer ∞ J−ν (z) = k=0 (−1)k z k!Γ(k − ν + 1) 2k−ν , for ν ∈ Z+ Of course for...
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Advanced Mathematical Methods for Scientists and Engineers Episode 6 Part 2 potx

Advanced Mathematical Methods for Scientists and Engineers Episode 6 Part 2 potx

Ngày tải lên : 06/08/2014, 01:21
... of the Green function for t > τ has the form, ∞ nπx G(x, t; ξ, τ ) = g0 (t) + gn (t) cos L n=1 (Note the factor of 1/2 in front of g0 (t) With this, the integral formulas for all the coefficients ... for the gn gn (t; τ ) + nπc L gn (t; τ ) = cos L nπξ L δ(t − τ ), n = 0, 1, 2, From the causality condition for G, we have the causality condiions for the gn , gn (t; τ ) = gn (t; τ ) = for ... the w plane Solve the problem for v(ξ, η) by taking Fourier sine transforms in ξ and η To show that the solution for v(ξ, η) is equivalent to the series expression for u(r, θ), first find an analytic...
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báo cáo khoa học: "Experimental comparison of methods for simultaneous selection of two correlated traits in Tribolium. 2. Index selection and independent culling levels : a replicated single generation test" potx

báo cáo khoa học: "Experimental comparison of methods for simultaneous selection of two correlated traits in Tribolium. 2. Index selection and independent culling levels : a replicated single generation test" potx

Ngày tải lên : 09/08/2014, 22:22
... greater value for the phenotypic variance of the family means for egg laying than for the phenotypic variance of the adult weight Realized heritabilities were 0.48 for egg laying and 0.23 for adult ... given for adult weight, a value greater than 1.00 is predicted for egg laying In the line selected by independent culling levels the selection differentials for egg laying exceeded those for adult ... stand for the mean of full-sib families for egg laying and the individual l phenotypic value for adult weight, respectively In the N line, the males and females were separately ranked for k,...
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