... Example 3.5: (a) for β < and m = 1, and (b) for β = −50 and different m; and evolution of |ψ(r, t)| close to the blow-up when Vext (r) = 0: (c) for β = −200 and m = 1, and (d) for β = −50 and m = 80 ... 74 Methodsandanalysisfor the Klein–Gordon equation 81 4.1 Introduction 81 4.2 FDTD methodsand their analysis 84 4.2.1 FDTD methods ... Numerical studies for ground states 30 along x-axis for 3D BSFC, BESP and BEFP methods in a cube [−4, 4]3 with uniform mesh size h = 1/16 in each axis, andfor BEFP in different cubes with uniform mesh...
... experience and that they form the fundamental basis for understanding vector algebra and calculus While the notions of set and group theory are not directly required for the understanding of cubic ... linear equations either for a computer or a hand calculation Let us consider a simpler algorithm, which forms the basis for one of the most reliable and stable direct methodsfor the solution of ... Linear Equations by Iterative Methods a Solution by The Gauss and Gauss-Seidel Iteration Methods b The Method of Hotelling and Bodewig c Relaxation Methodsfor the Solution of Linear...
... Interquartile and the Semi-Interquartile Range 153 Variance and Standard Deviation 155 Sample Variance and Standard Deviation 157 Homogeneity and Heterogeneity: Understanding the Standard Deviations ... Calcuklting Variance and Standard Deviation from a Data Array 160 Population Variance and Standard Deviation 161 Looking Ahead: Biased and Unbiased Estimators of Variance and Standard Deviation 162 ... reason for existence except as a catalyst for learning and discovery - - GEORGE BOX ) [' This quotation serves as the guiding rationale for this book and, I hope, provides an outlook for teaching and...
... attendees and both the introduction and the post-conference material have been reviewed and approved for publication by the sponsoring research unit at RAND Research Gaps and Measurement Challenges for ... a variety of platforms We agreed that media content and applications are of primary research interest, and that it may therefore be simpler and more informative to leave platforms out of our ... website is prohibited RAND documents are protected under copyright law For information on reprint and linking permissions, please visit the RAND permissions page (http://www.rand.org/publications/...
... Processing and Performance Analysisfor Imaging Systems For a listing of recent titles in the Artech House Optoelectronics Series, turn to the back of this book Signal Processing and Performance Analysis ... helps in understanding the factors that affect image performance and therefore helps the design of imaging systems and signal processing algorithms The image formation process and the sources ... classifications of wavebands are the radiowave, microwave, infrared, visible, ultraviolet, X-ray, and gamma-ray wavebands Figure 1.5 shows further subdivided wavebands for broadband sensors [3] For example,...
... left blank BASIC STATISTICS Understanding Conventional MethodsandModern Insights Rand R Wilcox 2009 Oxford University Press, Inc., publishes works that further Oxford University’s objective of ... permission of Oxford University Press Library of Congress Cataloging-in-Publication Data Wilcox, Rand R Basic statistics : understanding conventional methodsandmodern insights / Rand R Wilcox ... techniques with methods that continue to perform well when standard assumptions are violated Despite any advantages modernmethods have, this is not to suggest that methods routinely taught and used...
... for wavelet and [98] for contourlet decomposition) A number of hybrid methods have been developed to attempt to combine the best aspects of classicalmethodsand wavelet and contourlet transforms ... + μb , (1) σPAN where μPAN and μb are the mean of the PAN and MS image band b, respectively, and s PAN and s b are the standard deviation of the PAN and MS image band b, respectively This technique ... model is used by IHS, PCA and Brovey methods to relate the PAN and HRMS images Mateos et al.[82] (and also [38,76,77] for instance) used a special case for g p (z), where a = and lb ≥ 0, b = 1, 2,...
... Banach spaces and established a strong convergence theorem in uniformly convex and 2-uniformly smooth Banach spaces Kamraksa and Wangkeeree [16] introduced a general iterative method for a general ... ||x||q-2J(x) for x ≠ 0, Jq(tx) = tq-1Jq(x), and Jq(-x) = -Jq(x) for all x Î Page of 14 Chen and Wan Journal of Inequalities and Applications 2011, 2011:49 http://www.journalofinequalitiesandapplications.com/content/2011/1/49 ... 1, Algorithms and convergence analysis In this section, we introduce two-step iterative sequences for the problem (SGQVI) and a non-linear mapping, and then explore the convergence analysis of...
... Qualitative and quantitative analysisfor solutions to a class of Volterra-Fredholm type difference equation Advances in Difference Equations 2011 2011:30 Submit your manuscript to a journal and benefit ... generalized inequalities (for example, see [7-16] and the references therein) have been established in the literature including the known Ou-lang’s inequality [7], which provide handy tools in the study ... qualitative and quantitative properties of solutions of certain difference equations In [2], Ma generalized the discrete version of Ou-lang’s inequality in two variables to Volterra-Fredholm form for...
... intention to derive a complete asymptotic and bifurcation analysisfor our new equation and show that, among other things, our expectation is not quite true and perhaps such discrepancy is due to ... xμ−1 ∈ λ, ∞ and xμ ∈ 0, λ Then xμ−1 , xμ ∈ Γ2 and hence, xμ , xμ ∈ Γ1 Next, suppose that x−2 , x−1 ∈ Γ5 Then, by 1.3 and induction, it is easily seen that x2k−1 > for all k ≥ If x2k ≤ for all ... statements, we see that for a small positive λ, all solutions of 7.2 tend to a unique “lower” state vector, andfor large λ, to another unique “higher” state vector On the other hand, for a small positive...
... calculate the mean variance and the covariance of random variables qx and q y As an illustrative example, we chose x = and y = 3, and 100 values were generated for each random variable The corresponding ... sensors in the system and is identified by a number between and 30 We chose P = and a sample of the random matrix D for N = sensors, given below The sensor readings are given in dBm and are column vectors ... 0.35 Generate M sets of values for the two random matrices Qx and Q y For i = to M calculate yi = Qx (1, i)dx + Q y (1, i)d y + Wi where dx and d y correspond to x and y rows of D matrix; W is...
... Green and Leigh Edward for their endless help on the machining and other supporting efforts in my experimental work Last but not least, I want to thank my family for their love and dedications for ... the microstructures before and after the embossing, they started with flat film analysis, followed by the heat transfer analysisand stress analysis in which the contact and indentation problems ... Grewell, and Ms Miranda Marcus for their valuable discussion and generous help in my experiments related to laser heating Thanks go to Professors Allen Yi, Avarham Benatar, and John C Byrd for serving...
... paths before and after fusion for Trial 93 xii LIST OF FIGURES 6.6 Temporal error propagation before and after fusion for Trial 94 6.7 Tracking paths before and after fusion for Trial ... Garg and Prof Marc Andre Armand, for their time and efforts in assessing my research work, for the valuable suggestions and critical questions during my qualification examination I must thank NUS for ... Temporal error propagation before and after fusion for Trial 97 6.10 Temporal error propagation before and after fusion for Trial 11 97 6.11 Tracking paths for two typical cases ...
... This makes cross layer performance analysisand cross layer design difficult Therefore, new physical layer performance measures are needed for higher layer performance analysis In this chapter, ... Therefore, we can apply this approach in designing a robust receiver for the fading channel, that does not require CSI information or fading statistics 1.2 Performance AnalysisFor performance analysis, ... several layers for design and performance analysis In this thesis, we consider the physical layer andand the data link layer The commonly used physical layer performance measures for fading channels...
... Tradeoff between performance and interference for slotted CR-ALOHA 85 4.14 Tradeoff between performance and interference for CR-CSMA 86 4.15 Tradeoff between performance and agility for slotted CR-ALOHA ... the non-cooperative and cooperative spectrum sensing strategies, the spatial and temporal OSA mechanisms, the guaranteed access and random access models, and the performance analysis of IEEE 802.11 ... structure for our proposed strategies 27 3.3 Detection performances for single-relay model (E0 = dB) 45 3.4 Detection performances for single-relay model (E0 = dB) 45 3.5 Detection performances...
... gap and provide more empirical findings about the performance of SaaS firms We present the performance analysisand productivity analysis separately in Section and Section In performance analysis, ... Tables Table Data Sources, Construction Procedures and Deflators for Performance Analysis 36 Table Summary Statistics for Performance Analysis 36 Table Results of OLS Assuming ... collection and firm categorization methods Section is about firm performance analysis, including research model, data analysis, discussion and implications Section presents the firm productivity analysis, ...
... chimique English] Chemical analysis : modern instrumentation andmethodsand techniques / Francis Rouessac and Annick Rouessac ; translated by Steve Brooks and Francis and Annick Rouessac — 2nd ... spectrophotometers Quantitative analysis: laws of molecular absorption Methods in quantitative analysisAnalysis of a single analyte and purity control Multicomponent analysis (MCA) Methods of baseline correction ... Chemical Analysis Second Edition Chemical AnalysisModern Instrumentation Methodsand Techniques Second Edition Francis Rouessac and Annick Rouessac University of Le...
... quantitative analysis of root architecture with all dynamic aspects because the location of all branches and root tips are recorded in space and in each time step This method will be very useful forstudying ... structure and allows a detailed analysis of growth and branching patterns References Belgrand M., Dreyer E., Joannes H., Velter C & Scuiller (1987) A semi-automated data processing system for root ... records and the branching point records This latter file contains some redundant information for redrawing root pictures more swiftly Root segment file Each root segment contains some time information...
... Invasive methodsforstudying pulmonary function in mice Techniques used to directly measure pulmonary mechanics in mice represent the "gold standard", but generally require anesthesia, intubation and ... (RL) and dynamic compliance (Cdyn) in response to non-specific Table 1: Principal advantages and drawbacks of invasive and noninvasive methods Method Invasive noninvasive Pros • sensitive and ... Limitations include the need for anesthesia, instrumentation of the trachea and expertise in handling Low-frequency forced oscillation technique Another approach for invasive assessment of airway...