### Table 2b Summary of 100 replications 01 the alternating current series circuit impedance, 2, piecewise cubic fit.

1988

"... In PAGE 17: ... Owing to its increased interpretability we show the results of the mi = 2 model. Table2 a shows the ANOVA decomposition in the same format as Table lc. There is a purely additive contribution from xl(R), additive contributions from 22(w) and x4(C), and interactions amongst x2, x3(L), and x4.... In PAGE 17: ... The lower left frame shows that 2 is very small and roughly independent of w and C except -when they jointly have very small values, in which case the impedance increases dramatically. The lower right frame of Figure 2b shows that the C, L joint contribution is nearly additive, consistent with the weak contribution of the sixth ANOVA function ( Table2 a) to the MARS model. These interpretations are based on visual examination of the graphic representation of the ANOVA decomposition of the MARS approximation, based on a sample of size N = 200.... In PAGE 17: ... Since the data?n this case are generated from known truth one can examine the generating equation (22a) to verify their general correctness. Table2 b summarizes the results. of a simulation study based on 100 replications of data ran- domly drawn according to the above prescription (22a), (23), in the same format as Table Id.... ..."

Cited by 4

### Table 1: Motion models

"... In PAGE 5: ... Clearly, a 2-D motion model does not uniquely correspond to one 3-D model; identical 2-D motion models may result from di erent assumptions about 3-D motion, surface and camera projection models. Table1 summarizes some parametric models for 2-D motion and provides possible underlying assumptions. The rst four models are illustrated in Fig.... In PAGE 6: ...5 (a) (b) (c) (d) Figure 2: Examples of parametric motion vector elds (sampled) and corresponding motion-compensated predictions of a centered square: (a) translation; (b) a ne; (c) projective linear; and (d) quadratic. See Table1 for model descriptions. pable of describing arbitrary 2-D motion elds.... In PAGE 6: ... O -lattice vectors of the motion eld can be approximated by suitable interpolation of the sampled eld [65]. In general, the interpolation kernel H ( Table1 ) has a small support, such that a motion vector is usually interpolated from at most four samples. The frequently used bilinear inter- polation kernel is a tensor product of horizontal and vertical 1-D triangular kernels.... In PAGE 6: ... Therefore, it can be expected that such elds can be e ciently represented using linear transforms followed by zeroing of high frequency components. For example, the polynomial transform given in the last row of Table1... In PAGE 7: ... To capture these second-order e ects, each motion trajectory must be modeled explicitly. For example, it may be represented by two vectors: instantaneous velocity _ x and acceleration x [13]: x( ) x(t) + _ x(t)( ? t) + x(t) 2 ( ? t)2: (5) Such a temporal modeling can be applied in addition to the spatial modeling described thus far in Table1 . Although representation of motion trajectory elds rather than displacement elds is advantageous in certain applications, larger amounts of motion information must be processed and/or transmitted [13].... In PAGE 8: ...g., a ne; Table1... In PAGE 9: ...2.3 Motion of regions Between the two extremes above, one can nd methods that apply motion models from Table1 to image regions. The motivation is to insure a more accurate modeling (smaller approximation error (6)) of motion elds than in the global motion case and a reduced number of parameters in comparison with the dense motion.... In PAGE 10: ... Thus, a more general image partitioning is neces- sary. The reasoning is that for objects with su ciently smooth 3-D surface and 3-D motion, the induced 2-D motion elds in the image plane can be suitably described by models from Table1 if applied to the area of object projection. A natural image partitioning can be provided by the image acquisition process itself.... In PAGE 12: ... 4.a) for di erent regions of support: (a) block-based (16 16 blocks); (b) pixel-based (globally- smooth as in (17)); and (c,d) region-based with a ne motion model ( Table1 ). For details of the region-based algorithm, see [20].... ..."

### Table 1: Prices computed by alternative methods under the 2-factor GBM model

2000

"... In PAGE 13: ... 4.2 Computational Results Table1 documents the spread option prices across a range of strikes under the two factor Geo- metric Brownian motion model [22], computed by three di erent techniques: one-dimensional integration (analytic), the fast Fourier Transform and the Monte Carlo method. The values for the FFT methods shown are the \lower quot; prices, computed over , regions that approach the the true exercise region from below and are therefore all less than the analytic price in the rst column.... ..."

Cited by 5

### Table 5: Fraction of Correct Models based on the LGscore.

"... In PAGE 7: ...Table5 . Both the incremental window-based alignment methods, as well as the SW-PSSM alignment method, are able to pick the correct models with similar degrees of accuracy.... In PAGE 7: ... Our techniques also seem to identify a higher percentage of correct models when com- pared to the previously studied schemes, especially PSI and SSPSI, both of which also incorporate some profile informa- tion. As seen from Table5 our methods are able to pick a larger fraction of higher quality models for the family and superfamily levels. 4.... ..."

Cited by 1

### Table 5: Fraction of Correct Models based on the LGscore.

"... In PAGE 8: ...Table5 . Both the incremental window-based alignment methods, as well as the SW-PSSM alignment method, are able to pick the correct models with similar degrees of accuracy.... In PAGE 8: ... Our techniques also seem to identify a higher percentage of correct models when com- pared to the previously studied schemes, especially PSI and SSPSI, both of which also incorporate some profile informa- tion. As seen from Table5 our methods are able to pick a larger fraction of higher quality models for the family and superfamily levels. 4.... ..."

Cited by 1

### Table 4. Fraction of correct models based on the LGscore

"... In PAGE 5: ... As done in the study (Elofsson, 2002) we use the less strict LGscore cutoff (10C03)to define a correct model and a more stringent cutoff (10C05) to identify models of higher quality. The percentage of models correct based on these cutoffs are shown in Table4 . Both the incremental window-based alignment methods, as well as the SW-PSSM align- ment method, are able to pick the correct models with similar degrees of accuracy.... In PAGE 5: ... Our techniques also seem to identify a higher percentage of correct models when compared with the previously studied schemes, especially PSI and SSPSI, both of which also incorporate some profile information. As seen from Table4 our methods are able to pick a larger fraction of higher quality models for the family and superfamily levels. 4.... ..."

### Table 1: Group number, number of observations per group, classi cation, and site code. CC stands for Cnoc Coig and CNG stands for Caisteal nan Gillean. Site codes for the \modern quot; sand samples directly relate to locations shown in Figure 1. discussed. See Fieller, Flenley amp; Olbricht (1992) for a summary on statistical methods for particle size data and a comparison of several parametric models that have been t to the Oronsay data. While Fieller et al. (1992) distinguish only between beach and dune sand for their classi cation, Flenley amp; Olbricht (1993) consider a four{group classi - cation that distinguishes among beach at Cnoc Coig, beach at Caisteal nan Gillean, dune at Cnoc Coig, and dune at Caisteal nan Gillean. In addition, multivariate classi cation techniques such as principal component analysis and projection pursuit methods have been applied to the Oronsay data in Flenley amp; Olbricht (1993). For our graphical analysis of the Oronsay data within this paper, we excluded

"... In PAGE 10: ... e., groups 6 to 20 (see Table1 ). Within each of the 15 groups we randomly selected 2 samples and brushed them according to their classi - cation as beach at Cnoc Coig, beach at Caisteal nan Gillean, dune at Cnoc Coig, and dune at Caisteal nan Gillean.... ..."

### Table 4: Simulation Speed and Variance

1999

"... In PAGE 15: ... IV. Substitution Patterns Table4 provides an illustration of the substitution patterns that are implied by each of the models. In particular, the table gives the probabilities from each of the four models under various scenarios compared with a base situation.... In PAGE 16: ...Table4 are not forecasts, the differences in the substitution patterns that arise under the different models will also occur in forecasting since these differences are intrinsic to the model specifications. We first describe the differences between the standard logit and the mixed logit in column 2 of Table 2, called mixed logit A.... In PAGE 16: ... We then describe differences with the pure probit and the mixed logit in column 4, called mixed logit B. In part 1 of Table4 , a mini electric car is introduced to a base situation consisting of five gas cars. The logit model, because of the iia property, implies that the new electric car will draw proportionately from all five of the gas cars.... In PAGE 17: ...relative to existing products, is potentially important in forecasting penetration rates for any new product, but especially for products that are expected to satisfy niche markets. For part 2 of Table4 , a second electric car in introduced, comparable in size to a gas subcompact. The previous scenario (five gas cars and a mini electric car) is taken as the base.... In PAGE 19: ... The log of the simulated probability is not unbiased for the log of the true probability; rather, given the log transformation, it is biased downward for a finite number of replications, with the bias decreasing as the number of replications increases. The figures in Table4 are consistent with these facts. Whether the bias can be considered large depends on the perspective that one takes.... In PAGE 20: ... We performed similar calculations for the pure probit. The results are given in the last column of Table4 . The variance in the average probability and the log-likelihood function is somewhat smaller for the GHK simulator with 50 replications than the mixed logit with the same number of replications.... In PAGE 21: ... Nevertheless, the recursive nature of the GHK simulator (where the range for the random draw for one alternative depends on the value of previous draws for other alternatives) is inherently slow compared to simulators, like the mixed logit simulator, which draw simultaneously from unrestricted ranges. In light of these issues, the results in Table4 are perhaps best interprested as simply an indication that the mixed logit simulator is reasonably accurate compared to the GHK simulator, particularly for given computer time.... ..."

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### Table 1. Knowledge Modelling Techniques.

in Preface

2005

"... In PAGE 17: ....2.2 Capturing life cycle intent A wish to allow modification and iteration until all product life-cycle specifications are fully satisfied has been addressed in the area of capturing life cycle intent, Figure 1. Numerous efforts have been done to support different disciplines where many knowledge-modelling techniques have been developed, Table1 . The main idea has been to show how these methods can reduce the lead-time of the product development process and increase the quality of the processes.... In PAGE 18: ... Support is needed to help participating teams cooperate and achieve a balanced view before design decisions. With the help of modelling techniques presented in Table1 , different support system are developed to assist engineers perform their tasks. A number of Knowledge Based System (KBS) definitions exist; see Table 2.... In PAGE 23: ...as the knowledge exists in a number of disciplines from business to maintenance activities. A number of modelling techniques, Table1 , have been used to capture, support or automate different engineering activities. No technique will capture all aspects within the engineering domain.... In PAGE 39: ... [19], 2004 Agents and case based reasoning (CBR) Induction motors Product Support Diagnostics Yang et al. [20], 2004 Table1 . Some Knowledge Modeling Techniques.... In PAGE 39: ... Some Knowledge Modeling Techniques. All the knowledge modeling techniques presented in Table1 have different advantages depending on what knowledge is of interest to capture. Design Rationale, for example, captures decisions made during design so as to not lose the knowledge behind how and why certain decisions were made.... In PAGE 40: ... Definitions on Knowledge Based Systems. 4 Knowledge Enabled Engineering Approach Methods exist to capture and model knowledge, all with their advantages and disadvantages as seen in Table1 . Regardless what system/method is chosen, none will be the best in solving all problems.... In PAGE 60: ...3 Knowledge formalization The acquired knowledge was formalized through a company format used for building object oriented product models. Table1 shows an example from the formalized knowledge corresponding to the acquired knowledge in section 3.2.... In PAGE 60: ...3.1 Table1 . Excerpt from the formalized knowledge.... ..."

### Table 1 shows the numerical case base which contains no completely similar cases. As an interpolation technique, the least squares method [3] is applied on the case base both in a135 -space and in a136 -space. The two-dimensional form of the least squares method is as follows [3]:

1998

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