| Line 5,227: |
Line 5,227: |
| | =====Operator Diagrams for the Conjunction J = uv===== | | =====Operator Diagrams for the Conjunction J = uv===== |
| | | | |
| − | <pre> | + | <br> |
| − | o o
| + | <p>[[Image:Diff Log Dyn Sys -- Figure 57-1 -- Radius Operator Diagram for J.gif|center]]</p> |
| − | //\ /X\
| + | <p><center><font size="+1">'''Figure 57-1. Radius Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p> |
| − | ////\ /XXX\
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| − | //////\ oXXXXXo
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| − | ////////\ /X\XXX/X\
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| − | //////////\ /XXX\X/XXX\
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| − | o///////////o oXXXXXoXXXXXo
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| − | / \////////// \ / \XXX/X\XXX/ \
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| − | / \//////// \ / \X/XXX\X/ \
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| − | / \////// \ o oXXXXXo o
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| − | / \//// \ / \ / \XXX/ \ / \
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| − | / \// \ / \ / \X/ \ / \
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| − | o o o o o o o o
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| − | |\ / \ /| |\ / \ / \ / \ /|
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| − | | \ / \ / | | \ / \ / \ / \ / |
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| − | | \ / \ / | | o o o o |
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| − | | \ / \ / | | |\ / \ / \ /| |
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| − | | u \ / \ / v | |u | \ / \ / \ / | v|
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| − | o-----o o-----o o--+--o o o--+--o
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| − | \ / | \ / \ / |
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| − | \ / | du \ / \ / dv |
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| − | \ / o-----o o-----o
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| − | \ / \ /
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| − | \ / \ /
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| − | o o
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| − | U% $e$ $E$U%
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| − | o------------------>o
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| − | | |
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| − | | |
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| − | | |
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| − | | |
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| − | J | | $e$J
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| − | | |
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| − | | |
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| − | | |
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| − | v v
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| − | o------------------>o
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| − | X% $e$ $E$X%
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| − | o o
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| − | //\ /X\
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| − | ////\ /XXX\
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| − | //////\ /XXXXX\
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| − | ////////\ /XXXXXXX\
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| − | //////////\ /XXXXXXXXX\
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| − | ////////////o oXXXXXXXXXXXo
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| − | ///////////// \ //\XXXXXXXXX/\\
| |
| − | ///////////// \ ////\XXXXXXX/\\\\
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| − | ///////////// \ //////\XXXXX/\\\\\\
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| − | ///////////// \ ////////\XXX/\\\\\\\\
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| − | ///////////// \ //////////\X/\\\\\\\\\\
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| − | o//////////// o o///////////o\\\\\\\\\\\o
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| − | |\////////// / |\////////// \\\\\\\\\\/|
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| − | | \//////// / | \//////// \\\\\\\\/ |
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| − | | \////// / | \////// \\\\\\/ |
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| − | | \//// / | \//// \\\\/ |
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| − | | x \// / | x \// \\/ dx |
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| − | o-----o / o-----o o-----o
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | o o
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| | | | |
| − | Figure 57-1. Radius Operator Diagram for the Conjunction J = uv | + | <br> |
| − | </pre> | + | <p>[[Image:Diff Log Dyn Sys -- Figure 57-2 -- Secant Operator Diagram for J.gif|center]]</p> |
| | + | <p><center><font size="+1">'''Figure 57-2. Secant Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p> |
| | | | |
| − | <pre> | + | <br> |
| − | o o
| + | <p>[[Image:Diff Log Dyn Sys -- Figure 57-3 -- Chord Operator Diagram for J.gif|center]]</p> |
| − | //\ /X\
| + | <p><center><font size="+1">'''Figure 57-3. Chord Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p> |
| − | ////\ /XXX\
| |
| − | //////\ oXXXXXo
| |
| − | ////////\ //\XXX//\
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| − | //////////\ ////\X////\
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| − | o///////////o o/////o/////o
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| − | / \////////// \ /\\/////\////\\
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| − | / \//////// \ /\\\\/////\//\\\\
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| − | / \////// \ o\\\\\o/////o\\\\\o
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| − | / \//// \ / \\\\/ \//// \\\\/ \
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| − | / \// \ / \\/ \// \\/ \
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| − | o o o o o o o o
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| − | |\ / \ /| |\ / \ /\\ / \ /|
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| − | | \ / \ / | | \ / \ /\\\\ / \ / |
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| − | | \ / \ / | | o o\\\\\o o |
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| − | | \ / \ / | | |\ / \\\\/ \ /| |
| |
| − | | u \ / \ / v | |u | \ / \\/ \ / | v|
| |
| − | o-----o o-----o o--+--o o o--+--o
| |
| − | \ / | \ / \ / |
| |
| − | \ / | du \ / \ / dv |
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| − | \ / o-----o o-----o
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| − | \ / \ /
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| − | \ / \ /
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| − | o o
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| − | U% $E$ $E$U%
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| − | o------------------>o
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| − | | |
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| − | | |
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| − | | |
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| − | | |
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| − | J | | $E$J
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| − | | |
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| − | | |
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| − | | |
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| − | v v
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| − | o------------------>o
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| − | X% $E$ $E$X%
| |
| − | o o
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| − | //\ /X\
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| − | ////\ /XXX\
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| − | //////\ /XXXXX\
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| − | ////////\ /XXXXXXX\
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| − | //////////\ /XXXXXXXXX\
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| − | ////////////o oXXXXXXXXXXXo
| |
| − | ///////////// \ //\XXXXXXXXX/\\
| |
| − | ///////////// \ ////\XXXXXXX/\\\\
| |
| − | ///////////// \ //////\XXXXX/\\\\\\
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| − | ///////////// \ ////////\XXX/\\\\\\\\
| |
| − | ///////////// \ //////////\X/\\\\\\\\\\
| |
| − | o//////////// o o///////////o\\\\\\\\\\\o
| |
| − | |\////////// / |\////////// \\\\\\\\\\/|
| |
| − | | \//////// / | \//////// \\\\\\\\/ |
| |
| − | | \////// / | \////// \\\\\\/ |
| |
| − | | \//// / | \//// \\\\/ |
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| − | | x \// / | x \// \\/ dx |
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| − | o-----o / o-----o o-----o
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | \ / \ /
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| − | o o
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| | | | |
| − | Figure 57-2. Secant Operator Diagram for the Conjunction J = uv
| + | <br> |
| − | </pre> | + | <p>[[Image:Diff Log Dyn Sys -- Figure 57-4 -- Tangent Functor Diagram for J.gif|center]]</p> |
| − | | + | <p><center><font size="+1">'''Figure 57-4. Tangent Functor Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p> |
| − | <pre> | |
| − | o o
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| − | //\ //\
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| − | ////\ ////\
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| − | //////\ o/////o
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| − | ////////\ /X\////X\
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| − | //////////\ /XXX\//XXX\
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| − | o///////////o oXXXXXoXXXXXo
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| − | / \////////// \ /\\XXX/X\XXX/\\
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| − | / \//////// \ /\\\\X/XXX\X/\\\\
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| − | / \////// \ o\\\\\oXXXXXo\\\\\o
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| − | / \//// \ / \\\\/ \XXX/ \\\\/ \
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| − | / \// \ / \\/ \X/ \\/ \
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| − | o o o o o o o o
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| − | |\ / \ /| |\ / \ /\\ / \ /|
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| − | | \ / \ / | | \ / \ /\\\\ / \ / |
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| − | | \ / \ / | | o o\\\\\o o |
| |
| − | | \ / \ / | | |\ / \\\\/ \ /| |
| |
| − | | u \ / \ / v | |u | \ / \\/ \ / | v|
| |
| − | o-----o o-----o o--+--o o o--+--o
| |
| − | \ / | \ / \ / |
| |
| − | \ / | du \ / \ / dv |
| |
| − | \ / o-----o o-----o
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | o o
| |
| − | U% $D$ $E$U%
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| − | o------------------>o
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| − | | |
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| − | | |
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| − | | |
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| − | | |
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| − | J | | $D$J
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| − | | |
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| − | | |
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| − | | |
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| − | v v
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| − | o------------------>o
| |
| − | X% $D$ $E$X%
| |
| − | o o
| |
| − | //\ /X\
| |
| − | ////\ /XXX\
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| − | //////\ /XXXXX\
| |
| − | ////////\ /XXXXXXX\
| |
| − | //////////\ /XXXXXXXXX\
| |
| − | ////////////o oXXXXXXXXXXXo
| |
| − | ///////////// \ //\XXXXXXXXX/\\
| |
| − | ///////////// \ ////\XXXXXXX/\\\\
| |
| − | ///////////// \ //////\XXXXX/\\\\\\
| |
| − | ///////////// \ ////////\XXX/\\\\\\\\
| |
| − | ///////////// \ //////////\X/\\\\\\\\\\
| |
| − | o//////////// o o///////////o\\\\\\\\\\\o
| |
| − | |\////////// / |\////////// \\\\\\\\\\/|
| |
| − | | \//////// / | \//////// \\\\\\\\/ |
| |
| − | | \////// / | \////// \\\\\\/ |
| |
| − | | \//// / | \//// \\\\/ |
| |
| − | | x \// / | x \// \\/ dx |
| |
| − | o-----o / o-----o o-----o
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | o o
| |
| − | | |
| − | Figure 57-3. Chord Operator Diagram for the Conjunction J = uv
| |
| − | </pre> | |
| − | | |
| − | <pre> | |
| − | o o
| |
| − | //\ //\
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| − | ////\ ////\
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| − | //////\ o/////o
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| − | ////////\ /X\////X\
| |
| − | //////////\ /XXX\//XXX\
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| − | o///////////o oXXXXXoXXXXXo
| |
| − | / \////////// \ /\\XXX//\XXX/\\
| |
| − | / \//////// \ /\\\\X////\X/\\\\
| |
| − | / \////// \ o\\\\\o/////o\\\\\o
| |
| − | / \//// \ / \\\\/\\////\\\\\/ \
| |
| − | / \// \ / \\/\\\\//\\\\\/ \
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| − | o o o o o\\\\\o\\\\\o o
| |
| − | |\ / \ /| |\ / \\\\/ \\\\/ \ /|
| |
| − | | \ / \ / | | \ / \\/ \\/ \ / |
| |
| − | | \ / \ / | | o o o o |
| |
| − | | \ / \ / | | |\ / \ / \ /| |
| |
| − | | u \ / \ / v | |u | \ / \ / \ / | v|
| |
| − | o-----o o-----o o--+--o o o--+--o
| |
| − | \ / | \ / \ / |
| |
| − | \ / | du \ / \ / dv |
| |
| − | \ / o-----o o-----o
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | o o
| |
| − | U% $T$ $E$U%
| |
| − | o------------------>o
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| − | | |
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| − | | |
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| − | | |
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| − | | |
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| − | J | | $T$J
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| − | | |
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| − | | |
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| − | | |
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| − | v v
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| − | o------------------>o
| |
| − | X% $T$ $E$X%
| |
| − | o o
| |
| − | //\ /X\
| |
| − | ////\ /XXX\
| |
| − | //////\ /XXXXX\
| |
| − | ////////\ /XXXXXXX\
| |
| − | //////////\ /XXXXXXXXX\
| |
| − | ////////////o oXXXXXXXXXXXo
| |
| − | ///////////// \ //\XXXXXXXXX/\\
| |
| − | ///////////// \ ////\XXXXXXX/\\\\
| |
| − | ///////////// \ //////\XXXXX/\\\\\\
| |
| − | ///////////// \ ////////\XXX/\\\\\\\\
| |
| − | ///////////// \ //////////\X/\\\\\\\\\\
| |
| − | o//////////// o o///////////o\\\\\\\\\\\o
| |
| − | |\////////// / |\////////// \\\\\\\\\\/|
| |
| − | | \//////// / | \//////// \\\\\\\\/ |
| |
| − | | \////// / | \////// \\\\\\/ |
| |
| − | | \//// / | \//// \\\\/ |
| |
| − | | x \// / | x \// \\/ dx |
| |
| − | o-----o / o-----o o-----o
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | \ / \ /
| |
| − | o o
| |
| − | | |
| − | Figure 57-4. Tangent Functor Diagram for the Conjunction J = uv | |
| − | </pre> | |
| | | | |
| | ===Taking Aim at Higher Dimensional Targets=== | | ===Taking Aim at Higher Dimensional Targets=== |