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Generating QR Code ISO/IEC18004 in Software Lists

EXAMPLE 6
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Table["Mathematica", {10}] {Mathematica, Mathematica, Mathematica, Mathematica, Mathematica,
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Mathematica, Mathematica, Mathematica, Mathematica, Mathematica}
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Table[k2,{ k, 10}] {1, 4, 9, 16, 25, 36, 49, 64, 81, 100} Table[1/k,{k, 5, 13}] 1, 1, 1, 1, 1, 1 , 1 , 1 , 1 5 6 7 8 9 10 11 12 13
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Table[ k ,{k, 5, 13, 2}]
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{ 5,
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7, 3, 11, 13
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Lists
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The command Array is useful for defining sequences.
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Array[f, n] generates a list consisting of n values, f[1], f[2], . . . , f[n]. Array[f, n, r] generates a list consisting of n values, f[i], starting with f[r], i.e., f[r], f[r + 1], . . . , f[r + n 1] .
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EXAMPLE 7
Clear[f] Array[f, 7] {f[1], f[2], f[3], f[4], f[5], f[6], f[7]} Array[f,7,3] {f[3], f[4], f[5], f[6], f[7], f[8], f[9]}
EXAMPLE 8
f[x_] = x2 + x + 1; Array[f, 7] {3, 7, 13, 21, 31, 43, 57} Array[f, 7, 3] {13, 21, 31, 43, 57, 73, 91} Array[f, 7, 0] {1, 3, 7, 13, 21, 31, 43} Array[f, 7, 2]
{3, 1, 1, 3, 7, 13, 21}
The rst element is f[0]. Negative values are allowed in the third position only.
Nested lists are lists that contain lists. For example,
{{1,
2, 3, 4}, {2, 3, 4, 5}, {3, 4, 5, 6}}
is a nested list of depth two, consisting of three lists, each of which is a list of four integers. Nested lists can be generated using the Table and Array commands. All indices have unit increments.
Table[expression,{m},{n}] generates a two-dimensional list, each element of which is the object expression. Table[expression, {i, m i, n i}, {j, m j, n j}] generates a nested list whose values are expression, computed as j goes from mj to nj and as i goes from mi to ni. The index j varies most rapidly. Array[f,{m, n}] generates a nested list consisting of an array of m elements, each of which is an array of n elements, whose values are f[i,j] as j goes from 1 to n and i goes from 1 to m. Here f is a function of two variables. The second index varies most rapidly. Array[f,{m, n},{r, s}] generates a nested list consisting of an array of m elements, each of which is an array of n elements. The first element of the first sublist is f[r, s].
Each of the previous descriptions extends in a natural way to lists of greater depth.
EXAMPLE 9
Table["Mathematica", {3}, {4}] {{Mathematica, Mathematica, Mathematica, Mathematica}, {Mathematica, Mathematica, Mathematica, Mathematica}, {Mathematica, Mathematica, Mathematica, Mathematica}}
EXAMPLE 10
Table[i + j, {i, 1, 3}, {j, 1, 5}] , , {{2, 3, 4, 5, 6} {3, 4, 5, 6, 7} {4, 5, 6, 7, 8}} 144 2444 144 2444 144 2444 4 3 4 3 4 3
i=1 j=1, 3, 5 2, 4, i=2 j=1, 3, 5 2, 4, i=3 j=1, 3, 5 2, 4,
Lists
Table[i + j, {i, 1, 5}, {j, 1, 3}] , , , , {{2, 3, 4} {3, 4, 5} {4, 5, 6} {5, 6, 7} {6, 7, 8}} 14 4 2 3 1 24 4 3 1 24 1 24 4 3 4 3 1 24 4 3
i=1 j=1, 3 2, i=2 j=1, 3 2, i=3 j=1, 3 2, i=4 j=1, 3 = 2, i=5 j=1, 3 2,
EXAMPLE 11
Clear[f]
Array[f,{3, 4}]
{{f[1,1], {f[2,1],
f[1,2], f[1,3], f[1,4]}, f[2,2], f[2,3], f[2,4]}, {f[3,1], f[3,2], f[3,3], f[3,4]}}
EXAMPLE 12
f[x_, y_] = x2 + 3 y
{{4,
Array[f, {3, 4}] 7, 10, 13},{7, 10, 13, 16},{12, 15, 18, 21}}
Array[f, {4, 3}] {{4, 7, 10},{7, 10, 13},{12, 15, 18},{19, 22, 25}} Array[f, {4, 3}, {0, 0}] {{0, 3, 6}, {1, 4, 7}, {4, 7, 10}, {9, 12, 15}}
Often it will be convenient to construct lists of letters and other characters.
Characters[string] produces a list of characters in string. CharacterRange["char1", "char2"] produces a list of characters from char1 to char2, based upon their standard ASCII values (assuming an American English alphabet).
EXAMPLE 13
Characters["Mathematica"]
a, t, h, e, m, a, t, i, c, a}
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