### Table 1. Estimated compression ratios with three di erent methods. For each number in the compressed le, if we note n the bits needed to code it, then Ideal counts only n, Elias- counts 2n and Elias- counts n+2dlog2 ne. The second line (in italics) of English and DNA correspond to Block-LZ77, Mark-LZ78 and Mark-Hybrid, respectively.

"... In PAGE 18: ...10] or Hu man codes). Many other improvements are possible. A deeper study of the best techniques for our hybrid compressor is deferred for future study. Table1 shows the results. The \Ideal quot; column counts exactly the bits used by each number stored in the compressed le, while both \Elias quot; columns count the number of bits needed to represent the numbers using these codes4 [10].... ..."

### Table 1. Component counts for n-bit saturating array multipliers. Number of components

"... In PAGE 11: ... RESULTS AND CONCLUSIONS Tables 1 and 2 summarize the total number of components and the number of each component on the critical delay path for n-bit saturating array multipliers. Table1 shows that the proposed techniques reduce the number of AND gates and FAs required to implement saturating multipliers by nearly a factor of two for large values of n. Since these components dominate the area of array multipliers, this leads a signi cant a signi cant reduction in area.... ..."

### Table 9: The simulation results for N-bit parity check problem using BPSN with the asynchronous updating rule, K = N.

1992

"... In PAGE 30: ...or all cases, both APSN and BPSN could solve the problem perfectly (i.e. gave correct output for all 2N inputs), in a very short time. Table9 shows the results obtained using the BPSN when the type II learning algorithm with an asynchronous updating rule was used. It is observed that each network is able to map all the patterns correctly.... In PAGE 30: ... It is observed that each network is able to map all the patterns correctly. As seen from Table9 , a smaller learning rate led to slower training for all cases. Divergence in MSE is observed if is more than 0.... In PAGE 30: ...ivergence in MSE is observed if is more than 0.5 for N = 2; 3 and 4. For N = 5, 0:01 caused divergence. It is observed from Table9 that the variances of the results are large. This is also observed for the other two problems.... ..."

Cited by 4

### Table 1: Compiling n-bit adders.

1998

"... In PAGE 19: ...ot be e ective. It is quite possible though for other methods | based, say, on forgetting | to be practical. We close this section by providing concrete data about a few realistic systems to further appreciate the relation between structure and compilability. Table1 presents some experimental data that results from compiling n-bit adders for di erent values of n. Speci cally, the table shows the size of compiled n-bit adders as the value of n increases from 1 to 6.... In PAGE 19: ... It is therefore not surprising that the size of compiled n-bit adders grows linearly as a function of n. According to Table1 , an on-line system for diagnosing a 6-bit adder needs to include a propositional sentence in decomposable NNF which has 208 nodes and 446 arcs, in addition to a CSD evaluator. Table 2 depicts a set of more challenging systems drawn from the benchmark circuits proposed in [6].... ..."

Cited by 23

### Table 1: Compiling n-bit adders.

1998

"... In PAGE 8: ... Therefore, the size of a com- piled n-bit adder grows linearly in n even though its structure is not cycle free. Table1 depicts some con- crete numbers showing the sizes of negation normal forms that result from compiling adders using a LISP implementation of our diagnostic compiler. Table 1 implies that an on-line system for diagnosing a 6-bit adder needs to include only a propositional sen- tence in decomposable NNF which has 208 nodes and 446 arcs, in addition to a CSD evaluator.... In PAGE 8: ... Table 1 depicts some con- crete numbers showing the sizes of negation normal forms that result from compiling adders using a LISP implementation of our diagnostic compiler. Table1 implies that an on-line system for diagnosing a 6-bit adder needs to include only a propositional sen- tence in decomposable NNF which has 208 nodes and 446 arcs, in addition to a CSD evaluator. Table 2 depicts a number of systems drawn from the benchmark circuits proposed in [2].... ..."

Cited by 23

### Table 1: Compiling n-bit adders.

"... In PAGE 19: ...ot be e ective. It is quite possible though for other methods | based, say, on forgetting | to be practical. We close this section by providing concrete data about a few realistic systems to further appreciate the relation between structure and compilability. Table1 presents some experimental data that results from compiling n-bit adders for di erent values of n. Speci cally, the table shows the size of compiled n-bit adders as the value of n increases from 1 to 6.... In PAGE 19: ... It is therefore not surprising that the size of compiled n-bit adders grows linearly as a function of n. According to Table1 , an on-line system for diagnosing a 6-bit adder needs to include a propositional sentence in decomposable NNF which has 208 nodes and 446 arcs, in addition to a CSD evaluator. Table 2 depicts a set of more challenging systems drawn from the benchmark circuits proposed in [6].... ..."

### Table 1: n-bit full adder

2000

Cited by 51

### Table 1. Numbers of non-zero arithmetic co- ef cients for randomly generated n-bit preci- sion 4th-order polynomial functions.

2006

"... In PAGE 4: ...2X2 +c1X +c0 where X 0 (i.e., we generated 5 uniform random numbers for coef cients, where each coef cient has 16-bit precision: jcij 215). Table1 compares the num- ber of non-zero arithmetic coef cients for f with the upper bound. In Table 1, the columns labeled with Non-zero and Upper bound show the numbers of non-zero arith- metic coef cients for f(X) and their upper bounds given by Lemma 2, respectively.... In PAGE 4: ... Table 1 compares the num- ber of non-zero arithmetic coef cients for f with the upper bound. In Table1 , the columns labeled with Non-zero and Upper bound show the numbers of non-zero arith- metic coef cients for f(X) and their upper bounds given by Lemma 2, respectively. The column Distinct shows the number of distinct arithmetic coef cients for f(X).... In PAGE 4: ... This fact veri es the theoretical result (Lemma 2). Table1 shows that for polynomial functions, many arith- metic coef cients are 0, and many non-zero coef cients have identical values as well. Non-polynomial Functions: In addition to the polyno- mial functions, we represented the non-polynomial elemen- tary functions shown in Table 2.... In PAGE 5: ... The upper bounds for BMD and MTBDD are derived by Theorem 1 and Corollary 1, respec- tively. As shown in Table1 , for the polynomial functions, many arithmetic coef cients are 0, and many non-zero coef- cients have identical values. Thus, the numbers of nodes in BMDs for the polynomial functions are smaller than the up- per bounds in Theorem 1 by the reduction rule for BMDs.... ..."

Cited by 1

### Table 2: N-bit adder diagnostic

1998

Cited by 2