Changes

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|+ <math>\text{Table 43.}~~\text{Composite and Compiled Order Relations}</math>

|+ <math>\text{Table 43.}~~\text{Composite and Compiled Order Relations}</math>

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Table 28-b shows the 3-adic relation ''Syll'' &sube; '''B'''³ again, and Figure 28-c shows it plotted on a 3-cube template.

Table&nbsp;28-b shows the 3-adic relation <math>\operatorname{Syll} \subseteq \mathbb{B}^3</math> again, and Figure&nbsp;28-c shows it plotted on a 3-cube template.

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We return once more to the plane projections of ''Syll'' &sube; '''B'''³.

We return once more to the plane projections of <math>\operatorname{Syll} \subseteq \mathbb{B}^3.</math>

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In showing the 2-adic projections of a 3-adic relation ''L'' &sube; '''B'''³, I will translate the coordinates of the points in each relation to the plane of the projection, there dotting out with a dot "." the bit of the bit string that is out of place on that plane.

In showing the 2-adic projections of a 3-adic relation <math>L \subseteq \mathbb{B}^3,</math> I will translate the coordinates of the points in each relation to the plane of the projection, there dotting out with a dot "." the bit of the bit string that is out of place on that plane.

Figure 29-c shows ''Syll'' and its three 2-adic projections:

Figure&nbsp;29-c shows <math>\operatorname{Syll}</math> and its three 2-adic projections:

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We now compute the tacit extensions of the 2-adic projections of ''Syll'', alias ''q''₁₃₉, and this makes manifest its relationship to the other functions and fibers, namely, ''q''₁₇₅, ''q''₁₈₇, ''q''₂₀₇.

We now compute the tacit extensions of the 2-adic projections of <math>\operatorname{Syll},</math> alias <math>q_{139},\!</math> and this makes manifest its relationship to the other functions and fibers, namely, <math>q_{175}, q_{187}, q_{207}.\!</math>

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The reader may wish to contemplate Figure 31 and use it to verify the following two facts:

The reader may wish to contemplate Figure&nbsp;31 and use it to verify the following two facts:

: ''Syll'' = ''TE''(''Syll''₁₂) &cap; ''TE''(''Syll''₂₃)

: ''Syll'' = ''TE''(''Syll''₁₂) &cap; ''TE''(''Syll''₂₃)