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Amscd #2449
Amscd #2449
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@@ -12,7 +12,7 @@ | |
<tag>(1)</tag> | ||
<tag role="refnum">1</tag> | ||
</tags> | ||
<Math mode="display" tex="\begin{CD}S^{{\mathcal{W}}_{\Lambda}}\otimes T@>{j}>{}>T\\ @V{}V{}V@V{}V{\operatorname{End}P}V\\ (S\otimes T)/I@=(Z\otimes T)/J\end{CD}" text="commutative-diagram@(Array[[S ^ (W _ Lambda) tensor-product T, rightarrowfill@ ^ j, T], [downarrow, , absent downarrow End@(P), , ], [(S tensor-product T) / I, @cd@equals@, (Z tensor-product T) / J]])" xml:id="S0.E1.m1"> | ||
<Math mode="display" tex="\begin{CD}S^{{\mathcal{W}}_{\Lambda}}\otimes T@>{j}>{}>T\\ @V{}V{}V@V{}V{\operatorname{End}P}V\\ (S\otimes T)/I=(Z\otimes T)/J\end{CD}" text="commutative-diagram@(Array[[S ^ (W _ Lambda) tensor-product T, rightarrow ^ j, T], [downarrow, , absent downarrow End@(P), , ], [(S tensor-product T) / I, =, (Z tensor-product T) / J]])" xml:id="S0.E1.m1"> | ||
<XMath> | ||
<XMDual> | ||
<XMApp> | ||
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@@ -39,7 +39,7 @@ | |
<XMCell align="center"> | ||
<XMApp> | ||
<XMTok role="SUPERSCRIPTOP" scriptpos="mid5"/> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="rightarrow" role="ARROW" stretchy="true" width="30.0pt">→</XMTok> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok> | ||
</XMApp> | ||
</XMCell> | ||
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@@ -56,7 +56,7 @@ | |
<XMApp role="ARROW"> | ||
<XMTok fontsize="160%" name="downarrow" role="ARROW">↓</XMTok> | ||
<XMTok meaning="absent"/> | ||
<XMApp> | ||
<XMApp width="0.0pt"> | ||
<XMTok fontsize="70%" role="OPFUNCTION" scriptpos="post">End</XMTok> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">P</XMTok> | ||
</XMApp> | ||
|
@@ -85,7 +85,7 @@ | |
</XMApp> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="@cd@equals@" role="ARROW" stretchy="true">=</XMTok> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="equals" role="ARROW" stretchy="true" width="30.0pt">=</XMTok> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMApp> | ||
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@@ -116,7 +116,7 @@ | |
<tag>(2)</tag> | ||
<tag role="refnum">2</tag> | ||
</tags> | ||
<Math mode="display" tex="\begin{CD}\operatorname{cov}(\mathcal{L})@>{}>{}>\operatorname{non}(\mathcal{K% })@>{}>{}>\operatorname{cf}(\mathcal{K})@>{}>{}>\operatorname{cf}(\mathcal{L})% \\ @V{}V{}V@A{}A{}A@A{}A{}A@V{}V{}V\\ \operatorname{add}(\mathcal{L})@>{}>{}>\operatorname{add}(\mathcal{K})@>{}>{}>% \operatorname{cov}(\mathcal{K})@>{}>{}>\operatorname{non}(\mathcal{L})\end{CD}" text="commutative-diagram@(Array[[cov@(L), rightarrowfill@, non@(K), rightarrowfill@, cf@(K), rightarrowfill@, cf@(L)], [downarrow, , uparrow, , uparrow, , downarrow, , ], [add@(L), rightarrowfill@, add@(K), rightarrowfill@, cov@(K), rightarrowfill@, non@(L)]])" xml:id="S0.E2.m1"> | ||
<Math mode="display" tex="\begin{CD}\operatorname{cov}(\mathcal{L})@>{i}>{j}>\operatorname{non}(\mathcal% {K})@){i}){})\operatorname{cf}(\mathcal{K})@>{}>{j}>\operatorname{cf}(\mathcal% {L})\\ @V{}V{}V\Big{\|}\Big{\|}@A{}A{}A\\ \operatorname{add}(\mathcal{L})@<{}<{}<\operatorname{add}(\mathcal{K})@({}({}(% \operatorname{cov}(\mathcal{K})@<{}<{}<\operatorname{non}(\mathcal{L})\end{CD}" text="commutative-diagram@(Array[[cov@(L), (rightarrow ^ i) _ j, non@(K), rightarrow ^ i, cf@(K), rightarrow _ j, cf@(L)], [downarrow, , ||, , ||, , uparrow, , ], [add@(L), leftarrow, add@(K), leftarrow, cov@(K), leftarrow, non@(L)]])" xml:id="S0.E2.m1"> | ||
<XMath> | ||
<XMDual> | ||
<XMApp> | ||
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@@ -142,7 +142,15 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMApp role="ARROW"> | ||
<XMTok role="SUBSCRIPTOP" scriptpos="mid5"/> | ||
<XMApp> | ||
<XMTok role="SUPERSCRIPTOP" scriptpos="mid5"/> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="rightarrow" role="ARROW" stretchy="true" width="30.0pt">→</XMTok> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok> | ||
</XMApp> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok> | ||
</XMApp> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
|
@@ -161,7 +169,11 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMApp> | ||
<XMTok role="SUPERSCRIPTOP" scriptpos="mid5"/> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="rightarrow" role="ARROW" stretchy="true" width="30.0pt">→</XMTok> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok> | ||
</XMApp> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
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@@ -180,7 +192,11 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMApp role="ARROW"> | ||
<XMTok role="SUBSCRIPTOP" scriptpos="mid5"/> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="rightarrow" role="ARROW" stretchy="true" width="30.0pt">→</XMTok> | ||
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok> | ||
</XMApp> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
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@@ -205,15 +221,15 @@ | |
</XMCell> | ||
<XMCell/> | ||
<XMCell align="center"> | ||
<XMTok fontsize="160%" name="uparrow" role="ARROW">↑</XMTok> | ||
<XMTok fontsize="160%" name="||" role="VERTBAR">∥</XMTok> | ||
</XMCell> | ||
<XMCell/> | ||
<XMCell align="center"> | ||
<XMTok fontsize="160%" name="uparrow" role="ARROW">↑</XMTok> | ||
<XMTok fontsize="160%" name="||" role="VERTBAR">∥</XMTok> | ||
There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. The DefMathI('\|', undef, "\x{2225}", role => 'VERTBAR', name => '||'); In the TeXbook, I see its definition marked with "vertical line" in Appendix E, p. 420:
Would There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. It might be, but |
||
</XMCell> | ||
<XMCell/> | ||
<XMCell align="center"> | ||
<XMTok fontsize="160%" name="downarrow" role="ARROW">↓</XMTok> | ||
<XMTok fontsize="160%" name="uparrow" role="ARROW">↑</XMTok> | ||
</XMCell> | ||
<XMCell/> | ||
<XMCell/> | ||
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@@ -236,7 +252,7 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="leftarrow" role="ARROW" stretchy="true" width="30.0pt">←</XMTok> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
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@@ -255,7 +271,7 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="leftarrow" role="ARROW" stretchy="true" width="30.0pt">←</XMTok> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
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@@ -274,7 +290,7 @@ | |
</XMDual> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMTok name="rightarrowfill@" role="ARROW" stretchy="true">→</XMTok> | ||
<XMTok class="ltx_horizontally_stretchy" meaning="leftarrow" role="ARROW" stretchy="true" width="30.0pt">←</XMTok> | ||
</XMCell> | ||
<XMCell align="center"> | ||
<XMDual> | ||
|
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I wonder if a well-named
class
attribute for this special case won't be useful in the future. Would make it a little clearer for people inspecting the markup, and easy to check when it gets refactored as MathML Core improves.Maybe
<mover class="ltx_math_stretched">
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The
$unstretchy
check may not be booleany enough. If we go with strecthy="true" by default, and when explicit, then everything else is false (including invalid values), then:There was a problem hiding this comment.
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Somehow I knew you'd suggest that, so why didn't I just head you off by implementing it? But actually, something like
\ltx_horizontally_stretched
might be even better; I was a little concerned about the code doing something weird with vertically stretching cases. (Alas, no visible distinction in MathML)There was a problem hiding this comment.
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Actually, if a class is going to be used to detect the "special case", then we can drop the test of
stretchy
completely.