### Table II. Illustrate example of the relationship between questions and knowledge objects (K1, algebra system; K2, partial order; K3, lattice; K4, homomorphic lattice; K5, isomorphic lattice; K6, distributive lattice; K7, critical lattice; K8, complemented lattice; K9, complemented distributed lattice).

2004

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### Table 2. Finite Sample Risk Comparison over Different Error Distributions ) 500 ( = n

### Table 2. Finite Sample Risk Comparison over Different Error Distributions ) 500 ( = n

### Table 2. Finite Sample Risk Comparison over Different Error Distributions ) 500 ( = n

### Table 1. BPA (Basic Process Algebra), left, and PA (Process Algebra), on the right

"... In PAGE 1: ... A typical example is the process Stack. It can be defined by a finite recur- sive specification over BPA (for the axioms of BPA see Table1 ), but not by a star Supported by the Netherlands Organisation for Scientific Research NWO in project GeoProc( Geometry of Processes , Nr.... ..."

### Table 2 Finite-dimensional modules for Lie algebras of vector fields

1994

"... In PAGE 10: ... OLVER systems than Lie.) Table2 describes the di erent nite-dimensional modules for each of these Lie algebras. The rst column tells whether the module is necessarily spanned by monomials, i.... In PAGE 10: ... Finally, Table 4 describes the quantization condition resulting from the quasi- exactly solvability assumption that, assuming M = f1g, the Lie algebra admit a nite-dimensional module N. If the cohomol- ogy is trivial, so g is spanned by vector elds and the constant functions, then it automatically satis es the quasi-exactly solvable condition, with the associated nite-dimensional modules being explicitly described in Table2 . The maximal al- gebras, namely Case 11, sl(2) sl(2), Case 15, sl(3), and Case 24, gl(2) n Rr, play an important role in Turbiner apos;s theory of di erential equations in two dimensions with orthogonal polynomial solutions, [33].... ..."

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### Table 5: Finite Sample Distribution of T

"... In PAGE 13: ... The sizes are reported on Table 8 and plotted in Figure 1. A detailed examination of Table 3 and Table5 reveals that the asymptotic distri- bution of T n is very close to the nite sample distribution of T n across all three samples and all nite-variance distributions. Not surprisingly, therefore, we end up the same conclusions from Table 4 and Table 6.... ..."

### Table 6: Finite Sample Distribution of T

"... In PAGE 13: ... In Table 5 we present the nite sample means and sample variances of T n under H 0 for all three samples. We report the 95% critical value in Table6 and the power of the test in Table 7. We also perform a Monte Carlo study to obtain the real sizes of the test in nite samples and compare them with the nominal sizes.... In PAGE 13: ... A detailed examination of Table 3 and Table 5 reveals that the asymptotic distri- bution of T n is very close to the nite sample distribution of T n across all three samples and all nite-variance distributions. Not surprisingly, therefore, we end up the same conclusions from Table 4 and Table6 . Table 4 indicates that, for all three samples,... In PAGE 14: ... Finally, Table 7 provides the evidence that in nite samples our test has very good power. From Table6 andFigure 1, we note that in terms of the size of the test, it works quite well for the normal distribution, the Student t distribution, the mixture of normal distribution, the compound log-normal and normal model, and the Weibull distribution. Although the size distortions are larger for the mixed di usion jump model, the biases suggest under-rejection of the model and hence support our nding of rejection of all nite-variance distributions in the above empirical study.... ..."

### Table 1. for the three tasks which dominate finite element analysis on SHPC.

"... In PAGE 2: ... Table1 : Interprocessor Communication Eliminated Although both approaches require no interprocessor communication for element generation, the element-based approach requires additional memory to store element information associated with each neighboring element. Furthermore it requires significant communication and synchronization between the processors.... In PAGE 3: ... Since the generated system of equations is distributed on each processor, there is no need to redistribute the matrix.The variable band storage scheme was selected over the skyline storage scheme to eliminate the matrix distribution time (see Table1 ). The slight increase in storage required by the variable band scheme over the skyline storage scheme does not significantly increase the computation time.... ..."

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### Table 1. for the three tasks which dominate finite element analysis on SHPC.

"... In PAGE 2: ... Table1 : Interprocessor Communication Eliminated Although both approaches require no interprocessor communication for element generation, the element-based approach requires additional memory to store element information associated with each neighboring element. Furthermore it requires significant communication and synchronization between the processors.... In PAGE 3: ... Since the generated system of equations is distributed on each processor, there is no need to redistribute the matrix.The variable band storage scheme was selected over the skyline storage scheme to eliminate the matrix distribution time (see Table1 ). The slight increase in storage required by the variable band scheme over the skyline storage scheme does not significantly increase the computation time.... ..."

Cited by 1