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The simulations showed the effectiveness of these two representations for different values of γ.

In general, two representations for the convex hull of a set of points are possible, the half-space representation and the vertex representation.

In Section 2, we obtain two representations for this fractional derivative operator in terms of the classical Riemann-Liouville fractional operator.

(2) Use the reconstruction formulae to obtain two representations for the state at the interface, one with a left-biased reconstruction stencil (boldsymbol{P}^{mathrm{L}}) and the other with a right-biased stencil (boldsymbol{P}^{mathrm{R}}).

Although only CoNLL is available for dependency parsers, we can create four representations for the phrase structure parsers, and five for the deep parsers.

Accordingly, what remains of the original vivacity following inhibition of a and b, respectively, can be expressed as follows (Weiss 1928: 78): Now if the same conditions obtain for three representations, a, b, and c, where a is the strongest and c the weakest representation, then the inhibition sum \(S = b + c\) (SW V: 288).

This is expected because the RTs for the first comparison included initiation latencies, such as the time for selecting the two target columns (for all three representations).

For length 3, a two-way ANOVA for the three representations and the second and third positions showed that a significant position effect (F 1, 12) = 7.65, p<0.05), a significant representations effect (F 2, 24) = 52.88, p<0.001), but a non-significant interaction.

The error rates for E-E, E-I, and I-I were 0.52%, 5.2%, and 5.7% for length 2, and 3.1%, 8.9%, and 4.2% for length 3. A two-way ANOVA for the three representations and two column lengths showed a non-significant interaction, a non-significant length effect, but a significant representation effect (F 2, 44) = 6.08, p<0.01).

For length 3, a two-way ANOVA for the three representations and the two positions (second and third) showed that the interaction was not significant, the RT at the second position was larger than that at the third position (F 1, 11) = 15.26, p < 0.01), and the effect of representations was significant (F 2, 22) = 39.65, p < 0.001).

For length 3, a two-way ANOVA for the three representations and the second and third positions showed a significant interaction (F 2, 20) = 7.07, p<0.01), a marginally significant effect of positions (F 1, 10) = 4.73, p<0.07), and a significant effect of representations (F 2, 20) = 36.95, p<0.001).

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