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desruisseaux pushed a commit to branch main
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commit c5666f0dc124f83abd3707787bd5827356104b0b
Author: Martin Desruisseaux <martin.desruisse...@geomatys.com>
AuthorDate: Fri Oct 8 11:49:46 2021 +0200
Replace deprecated <mfenced> tag in MathML.
---
layouts/partials/math/AxisSwapping2D.html | 6 +-
layouts/partials/math/Geographic3Dto2D.html | 18 +++--
layouts/partials/math/InverseAxisY.html | 6 +-
layouts/partials/math/PixelToGeographic.html | 18 +++--
.../math/PixelToGeographicReverseOrderAndY.html | 6 +-
.../math/PixelToGeographicSameAxisDirections.html | 6 +-
.../referencing/CoordinateOperations.html | 24 ++++---
.../referencing/CoordinateOperations.html | 24 ++++---
static/book/en/developer-guide.html | 84 ++++++++++++++--------
static/book/fr/developer-guide.html | 84 ++++++++++++++--------
10 files changed, 184 insertions(+), 92 deletions(-)
diff --git a/layouts/partials/math/AxisSwapping2D.html
b/layouts/partials/math/AxisSwapping2D.html
index 57b7552..8cd6632 100644
--- a/layouts/partials/math/AxisSwapping2D.html
+++ b/layouts/partials/math/AxisSwapping2D.html
@@ -27,7 +27,8 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block"
alttext="MathML capable browser required">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -45,7 +46,8 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/layouts/partials/math/Geographic3Dto2D.html
b/layouts/partials/math/Geographic3Dto2D.html
index 9201a3b..3ffd8d0 100644
--- a/layouts/partials/math/Geographic3Dto2D.html
+++ b/layouts/partials/math/Geographic3Dto2D.html
@@ -27,15 +27,18 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block"
alttext="MathML capable browser required">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -56,16 +59,19 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
<mo>×</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mi>h</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/layouts/partials/math/InverseAxisY.html
b/layouts/partials/math/InverseAxisY.html
index e6e5298..2e3b67a 100644
--- a/layouts/partials/math/InverseAxisY.html
+++ b/layouts/partials/math/InverseAxisY.html
@@ -27,7 +27,8 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -45,7 +46,8 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/layouts/partials/math/PixelToGeographic.html
b/layouts/partials/math/PixelToGeographic.html
index 77ceebc..da11bb5 100644
--- a/layouts/partials/math/PixelToGeographic.html
+++ b/layouts/partials/math/PixelToGeographic.html
@@ -27,15 +27,18 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block"
alttext="MathML capable browser required">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><mi>λ</mi></mtd></mtr>
<mtr><mtd><mi>φ</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><msub><mi>S</mi><mrow>λ</mrow></msub></mtd>
@@ -53,15 +56,18 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
<mo>×</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi></mtd></mtr>
<mtr><mtd><mi>y</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/layouts/partials/math/PixelToGeographicReverseOrderAndY.html
b/layouts/partials/math/PixelToGeographicReverseOrderAndY.html
index 0000509..cab5377 100644
--- a/layouts/partials/math/PixelToGeographicReverseOrderAndY.html
+++ b/layouts/partials/math/PixelToGeographicReverseOrderAndY.html
@@ -27,7 +27,8 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -59,7 +60,8 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/layouts/partials/math/PixelToGeographicSameAxisDirections.html
b/layouts/partials/math/PixelToGeographicSameAxisDirections.html
index e8e39fb..7e67de4 100644
--- a/layouts/partials/math/PixelToGeographicSameAxisDirections.html
+++ b/layouts/partials/math/PixelToGeographicSameAxisDirections.html
@@ -27,7 +27,8 @@
</head>
<body>
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac>
@@ -59,7 +60,8 @@
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</body>
</html>
diff --git a/source/developer-guide/referencing/CoordinateOperations.html
b/source/developer-guide/referencing/CoordinateOperations.html
index 8861cdf..20dc5a2 100644
--- a/source/developer-guide/referencing/CoordinateOperations.html
+++ b/source/developer-guide/referencing/CoordinateOperations.html
@@ -170,12 +170,14 @@ public class MyApp {
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block"
alttext="MathML capable browser required">
<mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
<mtr><mtd><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -197,7 +199,8 @@ double <var>y</var> = projected.getOrdinate(1);</code></pre>
<mo>=</mo>
<msub><mi>JAC</mi><mrow><mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow></msub>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -208,7 +211,8 @@ double <var>y</var> = projected.getOrdinate(1);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -247,7 +251,8 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtable><mtr>
<mtd>
<mover><mi>U</mi><mo>→</mo></mover><mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -256,12 +261,14 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</mtd>
<mtd><mtext>et</mtext></mtd>
<mtd>
<mover><mi>V</mi><mo>→</mo></mover><mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
@@ -270,7 +277,8 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</mtd>
</mtr></mtable>
</math>
diff --git a/source/fr/developer-guide/referencing/CoordinateOperations.html
b/source/fr/developer-guide/referencing/CoordinateOperations.html
index 0aba2f8..760d19b 100644
--- a/source/fr/developer-guide/referencing/CoordinateOperations.html
+++ b/source/fr/developer-guide/referencing/CoordinateOperations.html
@@ -171,12 +171,14 @@ public class MyApp {
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block"
alttext="MathML capable browser required">
<mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
<mtr><mtd><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -198,7 +200,8 @@ double <var>y</var> = projected.getOrdinate(1);</code></pre>
<mo>=</mo>
<msub><mi>JAC</mi><mrow><mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow></msub>
<mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -209,7 +212,8 @@ double <var>y</var> = projected.getOrdinate(1);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -249,7 +253,8 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtable><mtr>
<mtd>
<mover><mi>U</mi><mo>→</mo></mover><mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -258,12 +263,14 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</mtd>
<mtd><mtext>et</mtext></mtd>
<mtd>
<mover><mi>V</mi><mo>→</mo></mover><mo>=</mo>
- <mfenced open="[" close="]">
+ <mrow>
+ <mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
@@ -272,7 +279,8 @@ double dy_dφ = jacobian.getElement(1,0);</code></pre>
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
- </mfenced>
+ <mo>]</mo>
+ </mrow>
</mtd>
</mtr></mtable>
</math>
diff --git a/static/book/en/developer-guide.html
b/static/book/en/developer-guide.html
index 069e3e6..ffba192 100644
--- a/static/book/en/developer-guide.html
+++ b/static/book/en/developer-guide.html
@@ -1523,12 +1523,14 @@ The formula below represents the map projection result
as a column matrix
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
<mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
<mtr><mtd><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -1550,7 +1552,8 @@ The formula below represents the map projection result as
a column matrix
<mo>=</mo>
<msub><mi>JAC</mi><mrow><mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow></msub>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -1561,7 +1564,8 @@ The formula below represents the map projection result as
a column matrix
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -1600,7 +1604,8 @@ in the Jacobian matrices.
<mtable><mtr>
<mtd>
<mover><mi>U</mi><mo>→</mo></mover><mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -1609,12 +1614,14 @@ in the Jacobian matrices.
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</mtd>
<mtd><mtext>et</mtext></mtd>
<mtd>
<mover><mi>V</mi><mo>→</mo></mover><mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
@@ -1623,7 +1630,8 @@ in the Jacobian matrices.
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</mtd>
</mtr></mtable>
</math>
@@ -3596,15 +3604,18 @@ Above equations can be represented in matrix form as
below:
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>λ</mi></mtd></mtr>
<mtr><mtd><mi>φ</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><msub><mi>S</mi><mrow>λ</mrow></msub></mtd>
@@ -3622,15 +3633,18 @@ Above equations can be represented in matrix form as
below:
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>×</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi></mtd></mtr>
<mtr><mtd><mi>y</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</p><p>
In this particular case, scale factors <var>S</var> are the pixel size in
degrees
@@ -3661,7 +3675,8 @@ then operation <var>B</var> and finally operation
<var>A</var>.
<div style="display:table-row">
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -3679,13 +3694,15 @@ then operation <var>B</var> and finally operation
<var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">×</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -3703,13 +3720,15 @@ then operation <var>B</var> and finally operation
<var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">×</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac>
@@ -3741,13 +3760,15 @@ then operation <var>B</var> and finally operation
<var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">=</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -3779,7 +3800,8 @@ then operation <var>B</var> and finally operation
<var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
</div>
@@ -3903,15 +3925,18 @@ The <var>φ</var> terms are latitudes, the <var>λ</var>
terms are longitudes an
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -3932,16 +3957,19 @@ The <var>φ</var> terms are latitudes, the <var>λ</var>
terms are longitudes an
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>×</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mi>h</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</p><p>
For linear algebra libraries, the above non-square matrix represents an
under-determined system of equations and may be considered unresolvable.
diff --git a/static/book/fr/developer-guide.html
b/static/book/fr/developer-guide.html
index edc3420..c66c5b9 100644
--- a/static/book/fr/developer-guide.html
+++ b/static/book/fr/developer-guide.html
@@ -1532,12 +1532,14 @@ sous forme d’une matrice colonne (la raison sera plus
claire bientôt):
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
<mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
<mtr><mtd><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -1559,7 +1561,8 @@ sous forme d’une matrice colonne (la raison sera plus
claire bientôt):
<mo>=</mo>
<msub><mi>JAC</mi><mrow><mi>P</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow></msub>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -1570,7 +1573,8 @@ sous forme d’une matrice colonne (la raison sera plus
claire bientôt):
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi><mo>(</mo><mi>φ</mi><mo>,</mo><mi>λ</mi><mo>)</mo></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="min-width:500px; padding-left:60px">
@@ -1610,7 +1614,8 @@ la première et deuxième colonne des matrices Jacobiennes.
<mtable><mtr>
<mtd>
<mover><mi>U</mi><mo>→</mo></mover><mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
@@ -1619,12 +1624,14 @@ la première et deuxième colonne des matrices
Jacobiennes.
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>φ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</mtd>
<mtd><mtext>et</mtext></mtd>
<mtd>
<mover><mi>V</mi><mo>→</mo></mover><mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac><mrow><mo>∂</mo><mi>x</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
@@ -1633,7 +1640,8 @@ la première et deuxième colonne des matrices Jacobiennes.
<mtd><mfrac><mrow><mo>∂</mo><mi>y</mi></mrow><mrow><mo>∂</mo><mi>λ</mi></mrow></mfrac></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</mtd>
</mtr></mtable>
</math>
@@ -3523,15 +3531,18 @@ Les équations ci-dessus peuvent être représentées sous
forme de matrices com
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>λ</mi></mtd></mtr>
<mtr><mtd><mi>φ</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><msub><mi>S</mi><mrow>λ</mrow></msub></mtd>
@@ -3549,15 +3560,18 @@ Les équations ci-dessus peuvent être représentées sous
forme de matrices com
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>×</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><mi>x</mi></mtd></mtr>
<mtr><mtd><mi>y</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</p><p>
Dans ce cas particulier, les facteurs d’échelles <var>S</var> correspondent à
la taille des pixels en degrés
@@ -3590,7 +3604,8 @@ suivit de l’opération <var>B</var> et finalement
l’opération <var>A</var>.
<div style="display:table-row">
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -3608,13 +3623,15 @@ suivit de l’opération <var>B</var> et finalement
l’opération <var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">×</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -3632,13 +3649,15 @@ suivit de l’opération <var>B</var> et finalement
l’opération <var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">×</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mfrac>
@@ -3670,13 +3689,15 @@ suivit de l’opération <var>B</var> et finalement
l’opération <var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
<div style="display:table-cell; vertical-align:middle; padding-left: 15px;
padding-right: 15px">=</div>
<div style="display:table-cell; vertical-align:middle">
<math xmlns="http://www.w3.org/1998/Math/MathML"; display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>0</mn></mtd>
@@ -3708,7 +3729,8 @@ suivit de l’opération <var>B</var> et finalement
l’opération <var>A</var>.
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</div>
</div>
@@ -3840,15 +3862,18 @@ Les termes <var>φ</var> sont des latitudes,
<var>λ</var> des longitudes et
<math xmlns="http://www.w3.org/1998/Math/MathML"; alttext="MathML capable
browser required" display="block">
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>2</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>=</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr>
<mtd><mn>1</mn></mtd>
@@ -3869,16 +3894,19 @@ Les termes <var>φ</var> sont des latitudes,
<var>λ</var> des longitudes et
<mtd><mn>1</mn></mtd>
</mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
<mo>×</mo>
-<mfenced close="]" open="[">
+<mrow>
+<mo>[</mo>
<mtable>
<mtr><mtd><msub><mi>φ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><msub><mi>λ</mi><mrow><mn>1</mn></mrow></msub></mtd></mtr>
<mtr><mtd><mi>h</mi></mtd></mtr>
<mtr><mtd><mn>1</mn></mtd></mtr>
</mtable>
-</mfenced>
+<mo>]</mo>
+</mrow>
</math>
</p><p>
Pour des bibliothèques d’algèbre linéaire, la matrice ci-dessus représente un
système d’équations sous-déterminé, et donc insoluble.
