@@ -46,14 +46,15 @@ The following examples show the effects of modifying the input array:
4646``` math
4747\mathbf{A} =
4848\boxed{
49+ \textcolor{red}{
4950\begin{matrix}
5051 1 & 2 & 3 & 4 & 5 & 6 \\
5152 2 & 4 & 6 & 8 & 10 & 12 \\
5253 3 & 6 & 9 & 12 & 15 & 18 \\
5354 4 & 8 & 12 & 16 & 20 & 24 \\
5455 5 & 10 & 15 & 20 & 25 & 30 \\
5556 6 & 12 & 18 & 24 & 30 & 36
56- \end{matrix}}.
57+ \end{matrix}}} .
5758```
5859
5960### Examples with ` Pad `
@@ -67,12 +68,12 @@ The command `padarray(A, Pad(:replicate, 4, 4))` yields
67681 & 1 & 1 & 1 & 1 & 2 & 3 & 4 & 5 & 6 & 6 & 6 & 6 & 6 \\
68691 & 1 & 1 & 1 & 1 & 2 & 3 & 4 & 5 & 6 & 6 & 6 & 6 & 6 \\
69701 & 1 & 1 & 1 & 1 & 2 & 3 & 4 & 5 & 6 & 6 & 6 & 6 & 6 \\
70- 1 & 1 & 1 & 1 & \boxed{ 1} & \boxed{ 2} & \boxed{ 3} & \boxed{ 4} & \boxed{ 5} & \boxed {6} & 6 & 6 & 6 & 6 \\
71- 2 & 2 & 2 & 2 & \boxed{ 2} & \boxed{ 4} & \boxed{ 6} & \boxed{ 8} & \boxed{ 10} & \boxed {12} & 12 & 12 & 12 & 12 \\
72- 3 & 3 & 3 & 3 & \boxed{ 3} & \boxed{ 6} & \boxed{ 9} & \boxed{ 12} & \boxed{ 15} & \boxed {18} & 18 & 18 & 18 & 18 \\
73- 4 & 4 & 4 & 4 & \boxed{ 4} & \boxed{ 8} & \boxed{ 12} & \boxed{ 16} & \boxed{ 20} & \boxed {24} & 24 & 24 & 24 & 24 \\
74- 5 & 5 & 5 & 5 & \boxed{ 5} & \boxed{ 10} & \boxed{ 15} & \boxed{ 20} & \boxed{ 25} & \boxed {30} & 30 & 30 & 30 & 30 \\
75- 6 & 6 & 6 & 6 & \boxed{ 6} & \boxed{ 12} & \boxed{ 18} & \boxed{ 24} & \boxed{ 30} & \boxed {36} & 36 & 36 & 36 & 36 \\
71+ 1 & 1 & 1 & 1 & \textcolor{red}{ 1} & \textcolor{red}{ 2} & \textcolor{red}{ 3} & \textcolor{red}{ 4} & \textcolor{red}{ 5} & \textcolor{red} {6} & 6 & 6 & 6 & 6 \\
72+ 2 & 2 & 2 & 2 & \textcolor{red}{ 2} & \textcolor{red}{ 4} & \textcolor{red}{ 6} & \textcolor{red}{ 8} & \textcolor{red}{ 10} & \textcolor{red} {12} & 12 & 12 & 12 & 12 \\
73+ 3 & 3 & 3 & 3 & \textcolor{red}{ 3} & \textcolor{red}{ 6} & \textcolor{red}{ 9} & \textcolor{red}{ 12} & \textcolor{red}{ 15} & \textcolor{red} {18} & 18 & 18 & 18 & 18 \\
74+ 4 & 4 & 4 & 4 & \textcolor{red}{ 4} & \textcolor{red}{ 8} & \textcolor{red}{ 12} & \textcolor{red}{ 16} & \textcolor{red}{ 20} & \textcolor{red} {24} & 24 & 24 & 24 & 24 \\
75+ 5 & 5 & 5 & 5 & \textcolor{red}{ 5} & \textcolor{red}{ 10} & \textcolor{red}{ 15} & \textcolor{red}{ 20} & \textcolor{red}{ 25} & \textcolor{red} {30} & 30 & 30 & 30 & 30 \\
76+ 6 & 6 & 6 & 6 & \textcolor{red}{ 6} & \textcolor{red}{ 12} & \textcolor{red}{ 18} & \textcolor{red}{ 24} & \textcolor{red}{ 30} & \textcolor{red} {36} & 36 & 36 & 36 & 36 \\
76776 & 6 & 6 & 6 & 6 & 12 & 18 & 24 & 30 & 36 & 36 & 36 & 36 & 36 \\
77786 & 6 & 6 & 6 & 6 & 12 & 18 & 24 & 30 & 36 & 36 & 36 & 36 & 36 \\
78796 & 6 & 6 & 6 & 6 & 12 & 18 & 24 & 30 & 36 & 36 & 36 & 36 & 36 \\
@@ -90,12 +91,12 @@ The command `padarray(A, Pad(:circular,4,4))` yields
909112 & 16 & 20 & 24 & 4 & 8 & 12 & 16 & 20 & 24 & 4 & 8 & 12 & 16 \\
919215 & 20 & 25 & 30 & 5 & 10 & 15 & 20 & 25 & 30 & 5 & 10 & 15 & 20 \\
929318 & 24 & 30 & 36 & 6 & 12 & 18 & 24 & 30 & 36 & 6 & 12 & 18 & 24 \\
93- 3 & 4 & 5 & 6 & \boxed{ 1} & \boxed{ 2} & \boxed{ 3} & \boxed{ 4} & \boxed{ 5} & \boxed {6} & 1 & 2 & 3 & 4 \\
94- 6 & 8 & 10 & 12 & \boxed{ 2} & \boxed{ 4} & \boxed{ 6} & \boxed{ 8} & \boxed{ 10} & \boxed {12} & 2 & 4 & 6 & 8 \\
95- 9 & 12 & 15 & 18 & \boxed{ 3} & \boxed{ 6} & \boxed{ 9} & \boxed{ 12} & \boxed{ 15} & \boxed {18} & 3 & 6 & 9 & 12 \\
96- 12 & 16 & 20 & 24 & \boxed{ 4} & \boxed{ 8} & \boxed{ 12} & \boxed{ 16} & \boxed{ 20} & \boxed {24} & 4 & 8 & 12 & 16 \\
97- 15 & 20 & 25 & 30 & \boxed{ 5} & \boxed{ 10} & \boxed{ 15} & \boxed{ 20} & \boxed{ 25} & \boxed {30} & 5 & 10 & 15 & 20 \\
98- 18 & 24 & 30 & 36 & \boxed{ 6} & \boxed{ 12} & \boxed{ 18} & \boxed{ 24} & \boxed{ 30} & \boxed {36} & 6 & 12 & 18 & 24 \\
94+ 3 & 4 & 5 & 6 & \textcolor{red}{ 1} & \textcolor{red}{ 2} & \textcolor{red}{ 3} & \textcolor{red}{ 4} & \textcolor{red}{ 5} & \textcolor{red} {6} & 1 & 2 & 3 & 4 \\
95+ 6 & 8 & 10 & 12 & \textcolor{red}{ 2} & \textcolor{red}{ 4} & \textcolor{red}{ 6} & \textcolor{red}{ 8} & \textcolor{red}{ 10} & \textcolor{red} {12} & 2 & 4 & 6 & 8 \\
96+ 9 & 12 & 15 & 18 & \textcolor{red}{ 3} & \textcolor{red}{ 6} & \textcolor{red}{ 9} & \textcolor{red}{ 12} & \textcolor{red}{ 15} & \textcolor{red} {18} & 3 & 6 & 9 & 12 \\
97+ 12 & 16 & 20 & 24 & \textcolor{red}{ 4} & \textcolor{red}{ 8} & \textcolor{red}{ 12} & \textcolor{red}{ 16} & \textcolor{red}{ 20} & \textcolor{red} {24} & 4 & 8 & 12 & 16 \\
98+ 15 & 20 & 25 & 30 & \textcolor{red}{ 5} & \textcolor{red}{ 10} & \textcolor{red}{ 15} & \textcolor{red}{ 20} & \textcolor{red}{ 25} & \textcolor{red} {30} & 5 & 10 & 15 & 20 \\
99+ 18 & 24 & 30 & 36 & \textcolor{red}{ 6} & \textcolor{red}{ 12} & \textcolor{red}{ 18} & \textcolor{red}{ 24} & \textcolor{red}{ 30} & \textcolor{red} {36} & 6 & 12 & 18 & 24 \\
991003 & 4 & 5 & 6 & 1 & 2 & 3 & 4 & 5 & 6 & 1 & 2 & 3 & 4 \\
1001016 & 8 & 10 & 12 & 2 & 4 & 6 & 8 & 10 & 12 & 2 & 4 & 6 & 8 \\
1011029 & 12 & 15 & 18 & 3 & 6 & 9 & 12 & 15 & 18 & 3 & 6 & 9 & 12 \\
@@ -113,12 +114,12 @@ The command `padarray(A, Pad(:symmetric,4,4))` yields
11311412 & 9 & 6 & 3 & 3 & 6 & 9 & 12 & 15 & 18 & 18 & 15 & 12 & 9 \\
114115 8 & 6 & 4 & 2 & 2 & 4 & 6 & 8 & 10 & 12 & 12 & 10 & 8 & 6 \\
115116 4 & 3 & 2 & 1 & 1 & 2 & 3 & 4 & 5 & 6 & 6 & 5 & 4 & 3 \\
116- 4 & 3 & 2 & 1 & \boxed{ 1} & \boxed{ 2} & \boxed{ 3} & \boxed{ 4} & \boxed{ 5} & \boxed {6} & 6 & 5 & 4 & 3 \\
117- 8 & 6 & 4 & 2 & \boxed{ 2} & \boxed{ 4} & \boxed{ 6} & \boxed{ 8} & \boxed{ 10} & \boxed {12} & 12 & 10 & 8 & 6 \\
118- 12 & 9 & 6 & 3 & \boxed{ 3} & \boxed{ 6} & \boxed{ 9} & \boxed{ 12} & \boxed{ 15} & \boxed {18} & 18 & 15 & 12 & 9 \\
119- 16 & 12 & 8 & 4 & \boxed{ 4} & \boxed{ 8} & \boxed{ 12} & \boxed{ 16} & \boxed{ 20} & \boxed {24} & 24 & 20 & 16 & 12 \\
120- 20 & 15 & 10 & 5 & \boxed{ 5} & \boxed{ 10} & \boxed{ 15} & \boxed{ 20} & \boxed{ 25} & \boxed {30} & 30 & 25 & 20 & 15 \\
121- 24 & 18 & 12 & 6 & \boxed{ 6} & \boxed{ 12} & \boxed{ 18} & \boxed{ 24} & \boxed{ 30} & \boxed {36} & 36 & 30 & 24 & 18 \\
117+ 4 & 3 & 2 & 1 & \textcolor{red}{ 1} & \textcolor{red}{ 2} & \textcolor{red}{ 3} & \textcolor{red}{ 4} & \textcolor{red}{ 5} & \textcolor{red} {6} & 6 & 5 & 4 & 3 \\
118+ 8 & 6 & 4 & 2 & \textcolor{red}{ 2} & \textcolor{red}{ 4} & \textcolor{red}{ 6} & \textcolor{red}{ 8} & \textcolor{red}{ 10} & \textcolor{red} {12} & 12 & 10 & 8 & 6 \\
119+ 12 & 9 & 6 & 3 & \textcolor{red}{ 3} & \textcolor{red}{ 6} & \textcolor{red}{ 9} & \textcolor{red}{ 12} & \textcolor{red}{ 15} & \textcolor{red} {18} & 18 & 15 & 12 & 9 \\
120+ 16 & 12 & 8 & 4 & \textcolor{red}{ 4} & \textcolor{red}{ 8} & \textcolor{red}{ 12} & \textcolor{red}{ 16} & \textcolor{red}{ 20} & \textcolor{red} {24} & 24 & 20 & 16 & 12 \\
121+ 20 & 15 & 10 & 5 & \textcolor{red}{ 5} & \textcolor{red}{ 10} & \textcolor{red}{ 15} & \textcolor{red}{ 20} & \textcolor{red}{ 25} & \textcolor{red} {30} & 30 & 25 & 20 & 15 \\
122+ 24 & 18 & 12 & 6 & \textcolor{red}{ 6} & \textcolor{red}{ 12} & \textcolor{red}{ 18} & \textcolor{red}{ 24} & \textcolor{red}{ 30} & \textcolor{red} {36} & 36 & 30 & 24 & 18 \\
12212324 & 18 & 12 & 6 & 6 & 12 & 18 & 24 & 30 & 36 & 36 & 30 & 24 & 18 \\
12312420 & 15 & 10 & 5 & 5 & 10 & 15 & 20 & 25 & 30 & 30 & 25 & 20 & 15 \\
12412516 & 12 & 8 & 4 & 4 & 8 & 12 & 16 & 20 & 24 & 24 & 20 & 16 & 12 \\
@@ -136,12 +137,12 @@ The command `padarray(A, Pad(:reflect,4,4))` yields
13613720 & 16 & 12 & 8 & 4 & 8 & 12 & 16 & 20 & 24 & 20 & 16 & 12 & 8 \\
13713815 & 12 & 9 & 6 & 3 & 6 & 9 & 12 & 15 & 18 & 15 & 12 & 9 & 6 \\
13813910 & 8 & 6 & 4 & 2 & 4 & 6 & 8 & 10 & 12 & 10 & 8 & 6 & 4 \\
139- 5 & 4 & 3 & 2 & \boxed{ 1} & \boxed{ 2} & \boxed{ 3} & \boxed{ 4} & \boxed{ 5} & \boxed {6} & 5 & 4 & 3 & 2 \\
140- 10 & 8 & 6 & 4 & \boxed{ 2} & \boxed{ 4} & \boxed{ 6} & \boxed{ 8} & \boxed{ 10} & \boxed {12} & 10 & 8 & 6 & 4 \\
141- 15 & 12 & 9 & 6 & \boxed{ 3} & \boxed{ 6} & \boxed{ 9} & \boxed{ 12} & \boxed{ 15} & \boxed {18} & 15 & 12 & 9 & 6 \\
142- 20 & 16 & 12 & 8 & \boxed{ 4} & \boxed{ 8} & \boxed{ 12} & \boxed{ 16} & \boxed{ 20} & \boxed {24} & 20 & 16 & 12 & 8 \\
143- 25 & 20 & 15 & 10 & \boxed{ 5} & \boxed{ 10} & \boxed{ 15} & \boxed{ 20} & \boxed{ 25} & \boxed {30} & 25 & 20 & 15 & 10 \\
144- 30 & 24 & 18 & 12 & \boxed{ 6} & \boxed{ 12} & \boxed{ 18} & \boxed{ 24} & \boxed{ 30} & \boxed {36} & 30 & 24 & 18 & 12 \\
140+ 5 & 4 & 3 & 2 & \textcolor{red}{ 1} & \textcolor{red}{ 2} & \textcolor{red}{ 3} & \textcolor{red}{ 4} & \textcolor{red}{ 5} & \textcolor{red} {6} & 5 & 4 & 3 & 2 \\
141+ 10 & 8 & 6 & 4 & \textcolor{red}{ 2} & \textcolor{red}{ 4} & \textcolor{red}{ 6} & \textcolor{red}{ 8} & \textcolor{red}{ 10} & \textcolor{red} {12} & 10 & 8 & 6 & 4 \\
142+ 15 & 12 & 9 & 6 & \textcolor{red}{ 3} & \textcolor{red}{ 6} & \textcolor{red}{ 9} & \textcolor{red}{ 12} & \textcolor{red}{ 15} & \textcolor{red} {18} & 15 & 12 & 9 & 6 \\
143+ 20 & 16 & 12 & 8 & \textcolor{red}{ 4} & \textcolor{red}{ 8} & \textcolor{red}{ 12} & \textcolor{red}{ 16} & \textcolor{red}{ 20} & \textcolor{red} {24} & 20 & 16 & 12 & 8 \\
144+ 25 & 20 & 15 & 10 & \textcolor{red}{ 5} & \textcolor{red}{ 10} & \textcolor{red}{ 15} & \textcolor{red}{ 20} & \textcolor{red}{ 25} & \textcolor{red} {30} & 25 & 20 & 15 & 10 \\
145+ 30 & 24 & 18 & 12 & \textcolor{red}{ 6} & \textcolor{red}{ 12} & \textcolor{red}{ 18} & \textcolor{red}{ 24} & \textcolor{red}{ 30} & \textcolor{red} {36} & 30 & 24 & 18 & 12 \\
14514625 & 20 & 15 & 10 & 5 & 10 & 15 & 20 & 25 & 30 & 25 & 20 & 15 & 10 \\
14614720 & 16 & 12 & 8 & 4 & 8 & 12 & 16 & 20 & 24 & 20 & 16 & 12 & 8 \\
14714815 & 12 & 9 & 6 & 3 & 6 & 9 & 12 & 15 & 18 & 15 & 12 & 9 & 6 \\
@@ -161,12 +162,12 @@ The command `padarray(A, Fill(0,(4,4),(4,4)))` yields
1611620 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1621630 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1631640 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
164- 0 & 0 & 0 & 0 & \boxed{ 1} & \boxed{ 2} & \boxed{ 3} & \boxed{ 4} & \boxed{ 5} & \boxed {6} & 0 & 0 & 0 & 0 \\
165- 0 & 0 & 0 & 0 & \boxed{ 2} & \boxed{ 4} & \boxed{ 6} & \boxed{ 8} & \boxed{ 10} & \boxed {12} & 0 & 0 & 0 & 0 \\
166- 0 & 0 & 0 & 0 & \boxed{ 3} & \boxed{ 6} & \boxed{ 9} & \boxed{ 12} & \boxed{ 15} & \boxed {18} & 0 & 0 & 0 & 0 \\
167- 0 & 0 & 0 & 0 & \boxed{ 4} & \boxed{ 8} & \boxed{ 12} & \boxed{ 16} & \boxed{ 20} & \boxed {24} & 0 & 0 & 0 & 0 \\
168- 0 & 0 & 0 & 0 & \boxed{ 5} & \boxed{ 10} & \boxed{ 15} & \boxed{ 20} & \boxed{ 25} & \boxed {30} & 0 & 0 & 0 & 0 \\
169- 0 & 0 & 0 & 0 & \boxed{ 6} & \boxed{ 12} & \boxed{ 18} & \boxed{ 24} & \boxed{ 30} & \boxed {36} & 0 & 0 & 0 & 0 \\
165+ 0 & 0 & 0 & 0 & \textcolor{red}{ 1} & \textcolor{red}{ 2} & \textcolor{red}{ 3} & \textcolor{red}{ 4} & \textcolor{red}{ 5} & \textcolor{red} {6} & 0 & 0 & 0 & 0 \\
166+ 0 & 0 & 0 & 0 & \textcolor{red}{ 2} & \textcolor{red}{ 4} & \textcolor{red}{ 6} & \textcolor{red}{ 8} & \textcolor{red}{ 10} & \textcolor{red} {12} & 0 & 0 & 0 & 0 \\
167+ 0 & 0 & 0 & 0 & \textcolor{red}{ 3} & \textcolor{red}{ 6} & \textcolor{red}{ 9} & \textcolor{red}{ 12} & \textcolor{red}{ 15} & \textcolor{red} {18} & 0 & 0 & 0 & 0 \\
168+ 0 & 0 & 0 & 0 & \textcolor{red}{ 4} & \textcolor{red}{ 8} & \textcolor{red}{ 12} & \textcolor{red}{ 16} & \textcolor{red}{ 20} & \textcolor{red} {24} & 0 & 0 & 0 & 0 \\
169+ 0 & 0 & 0 & 0 & \textcolor{red}{ 5} & \textcolor{red}{ 10} & \textcolor{red}{ 15} & \textcolor{red}{ 20} & \textcolor{red}{ 25} & \textcolor{red} {30} & 0 & 0 & 0 & 0 \\
170+ 0 & 0 & 0 & 0 & \textcolor{red}{ 6} & \textcolor{red}{ 12} & \textcolor{red}{ 18} & \textcolor{red}{ 24} & \textcolor{red}{ 30} & \textcolor{red} {36} & 0 & 0 & 0 & 0 \\
1701710 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1711720 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
1721730 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
@@ -182,19 +183,21 @@ Each example is based on a multi-dimensional array ``\mathsf{A} \in\mathbb{R}^{2
182183``` math
183184\mathsf{A}(:,:,1) =
184185\boxed{
186+ \textcolor{red}{
185187\begin{array}{cc}
1861881 & 2 \\
1871893 & 4
188- \end{array}}
190+ \end{array}}}
189191\quad
190192\text{and}
191193\quad
192194\mathsf{A}(:,:,2) =
193195\boxed{
196+ \textcolor{red}{
194197\begin{array}{cc}
1951985 & 6 \\
1961997 & 8
197- \end{array}}.
200+ \end{array}}} .
198201```
199202
200203Note that each example will yield a new multi-dimensional array ``\mathsf{A}'
@@ -220,16 +223,16 @@ The command `padarray(A, Pad(:replicate, 1, 1, 1))` gives:
220223\boxed{
221224\begin{array}{cccc}
2222251 & 1 & 2 & 2 \\
223- 1 & \boxed{ 1} & \boxed {2} & 2 \\
224- 3 & \boxed{ 3} & \boxed {4} & 4 \\
226+ 1 & \textcolor{red}{ 1} & \textcolor{red} {2} & 2 \\
227+ 3 & \textcolor{red}{ 3} & \textcolor{red} {4} & 4 \\
2252283 & 3 & 4 & 4
226229\end{array}} \\
227230\mathsf{A}'(:,:,2) & =
228231\boxed{
229232\begin{array}{cccc}
2302335 & 5 & 6 & 6 \\
231- 5 & \boxed{ 5} & \boxed {6} & 6 \\
232- 7 & \boxed{ 7} & \boxed {8} & 8 \\
234+ 5 & \textcolor{red}{ 5} & \textcolor{red} {6} & 6 \\
235+ 7 & \textcolor{red}{ 7} & \textcolor{red} {8} & 8 \\
2332367 & 7 & 8 & 8
234237\end{array}}
235238&
@@ -262,16 +265,16 @@ The command `padarray(A, Pad(:circular, 1, 1, 1))` gives:
262265\boxed{
263266\begin{array}{cccc}
2642674 & 3 & 4 & 3 \\
265- 2 & \boxed{ 1} & \boxed {2} & 1 \\
266- 4 & \boxed{ 3} & \boxed {4} & 3 \\
268+ 2 & \textcolor{red}{ 1} & \textcolor{red} {2} & 1 \\
269+ 4 & \textcolor{red}{ 3} & \textcolor{red} {4} & 3 \\
2672702 & 1 & 2 & 1
268271\end{array}} \\
269272\mathsf{A}'(:,:,2) & =
270273\boxed{
271274\begin{array}{cccc}
2722758 & 7 & 8 & 7 \\
273- 6 & \boxed{ 5} & \boxed {6} & 5 \\
274- 8 & \boxed{ 7} & \boxed {8} & 7 \\
276+ 6 & \textcolor{red}{ 5} & \textcolor{red} {6} & 5 \\
277+ 8 & \textcolor{red}{ 7} & \textcolor{red} {8} & 7 \\
2752786 & 5 & 6 & 5
276279\end{array}}
277280&
@@ -304,16 +307,16 @@ The command `padarray(A,Pad(:symmetric, 1, 1, 1))` gives:
304307\boxed{
305308\begin{array}{cccc}
3063091 & 1 & 2 & 2 \\
307- 1 & \boxed{ 1} & \boxed {2} & 2 \\
308- 2 & \boxed{ 3} & \boxed {4} & 4 \\
310+ 1 & \textcolor{red}{ 1} & \textcolor{red} {2} & 2 \\
311+ 2 & \textcolor{red}{ 3} & \textcolor{red} {4} & 4 \\
3093122 & 3 & 4 & 4
310313\end{array}} \\
311314\mathsf{A}'(:,:,2) & =
312315\boxed{
313316\begin{array}{cccc}
3143175 & 5 & 6 & 6 \\
315- 5 & \boxed{ 5} & \boxed {6} & 6 \\
316- 7 & \boxed{ 7} & \boxed {8} & 8 \\
318+ 5 & \textcolor{red}{ 5} & \textcolor{red} {6} & 6 \\
319+ 7 & \textcolor{red}{ 7} & \textcolor{red} {8} & 8 \\
3173207 & 7 & 8 & 8
318321\end{array}}
319322&
@@ -346,16 +349,16 @@ The command `padarray(A, Pad(:reflect, 1, 1, 1))` gives:
346349\boxed{
347350\begin{array}{cccc}
3483514 & 3 & 4 & 3 \\
349- 2 & \boxed{ 1} & \boxed {2} & 1 \\
350- 4 & \boxed{ 3} & \boxed {4} & 3 \\
352+ 2 & \textcolor{red}{ 1} & \textcolor{red} {2} & 1 \\
353+ 4 & \textcolor{red}{ 3} & \textcolor{red} {4} & 3 \\
3513542 & 1 & 2 & 1
352355\end{array}} \\
353356\mathsf{A}'(:,:,2) & =
354357\boxed{
355358\begin{array}{cccc}
3563598 & 7 & 8 & 7 \\
357- 6 & \boxed{ 5} & \boxed {6} & 5 \\
358- 8 & \boxed{ 7} & \boxed {8} & 7 \\
360+ 6 & \textcolor{red}{ 5} & \textcolor{red} {6} & 5 \\
361+ 8 & \textcolor{red}{ 7} & \textcolor{red} {8} & 7 \\
3593626 & 5 & 6 & 5
360363\end{array}}
361364&
@@ -390,16 +393,16 @@ The command `padarray(A, Fill(0, (1, 1, 1)))` gives:
390393\boxed{
391394\begin{array}{cccc}
3923950 & 0 & 0 & 0 \\
393- 0 & \boxed{ 1} & \boxed {2} & 0 \\
394- 0 & \boxed{ 3} & \boxed {4} & 0 \\
396+ 0 & \textcolor{red}{ 1} & \textcolor{red} {2} & 0 \\
397+ 0 & \textcolor{red}{ 3} & \textcolor{red} {4} & 0 \\
3953980 & 0 & 0 & 0
396399\end{array}} \\
397400\mathsf{A}'(:,:,2) & =
398401\boxed{
399402\begin{array}{cccc}
4004030 & 0 & 0 & 0 \\
401- 0 & \boxed{ 5} & \boxed {6} & 0 \\
402- 0 & \boxed{ 7} & \boxed {8} & 0 \\
404+ 0 & \textcolor{red}{ 5} & \textcolor{red} {6} & 0 \\
405+ 0 & \textcolor{red}{ 7} & \textcolor{red} {8} & 0 \\
4034060 & 0 & 0 & 0
404407\end{array}}
405408&
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