ssrs barcode font download Lists can be concatenated using Join. in Software

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Lists can be concatenated using Join.
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Join[list1, list2] combines the two lists list1 and list2 into one list consisting of the elements from list1 and list2.
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Join makes no attempt to eliminate repetitive elements. However, repetition can be conveniently eliminated with the Union command (see Section 3.4). Join can be generalized in a natural way to combine more than two lists.
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EXAMPLE 32
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list1 = {1, 2, 3, 4, 5}; list2 = {3, 4, 5, 6, 7};
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Join[list1, list2] 2, 3, 4, 5, 3, 4, 5, 6, 7}
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Nested lists, which are very common, can have a complicated structure. There are a few Mathematica commands that can help you understand and manipulate them.
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Depth[list] returns one more than the number of levels in the list structure. Raw objects, i.e., objects that are not lists, have a depth of 1. Level[list, {levelspec}] returns a list consisting of those objects that are at level levelspec of list. Level[list, levelspec] returns a list consisting of those objects that are at or below level levelspec of list.
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Lists
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Depth[x]
Depth[{x}] 2 Depth[{{x}}] 3
EXAMPLE 34
x is not a list.
list = {1, {2, {3, 4, 5}}}; Depth[list] 4 Level[list, {1}] {1, {2, {3, 4, 5}}} Level[list, {2}] {2, {3, 4, 5}} Level[list, {3}] {3, 4, 5}
4 1 = 3. This tells us that list contains lists within lists within itself. Note that Depth always returns one more than the actual number of levels in the list. This is for technical reasons dealing with the structure of Mathematica commands. For now, just remember that the number of levels is always 1 less than Depth.
Level[list, 3] {1, 2, 3, 4, 5, {3, 4, 5}, {2, {3, 4, 5}}}
Flatten[list] converts a nested list to a simple list containing the innermost objects of list. Flatten[list, n] flattens a nested list n times, each time removing the outermost level. The depth of each level is reduced by n or to a minimum level of 1. FlattenAt[list, n] flattens the sublist which is at the nth position of the list by one level. If n is negative, Mathematica counts backward, starting at the end of the list.
EXAMPLE 35
list = {1, {2, 3}, {4, 5, {6}}, {7, {8, {9, 10}}}} Flatten[list] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Flatten[list, 1] {1, 2, 3, 4, 5, {6}, 7, {8, {9, 10}}} Flatten[list, 2] {1, 2, 3, 4, 5, 6, 7, 8, {9, 10}} FlattenAt[list, 3] {1, {2, 3}, 4, 5, {6}, {7, {8, {9, 10}}}} Only the third sublist of list is flattened one level. FlattenAt[list, 3] {1, 2, 3, {4, 5, {6}}, {7, {8, {9, 10}}}}
Flatten converts a nested list into a simpler list. Partition takes simple lists and converts them into nested lists in a very organized and convenient way.
Partition[list, k] converts list into sublists of length k. If list contains k n + m elements, where m < k, Partition will create n sublists and the remaining m elements will be dropped. Partition[list, k, d] partitions list into sublists of length k, offsetting each sublist from the previous sublist by d elements. In other words, each sublist (other than the first) begins with the d+1st element of the previous sublist.
Note that Partition[list, k] is equivalent to Partition[list, k, k]. Partition is a very convenient command for generating tables and matrices. Only the simplest forms of the command have been described. The reader, if interested, is urged to investigate other forms in Mathematica s Documentation Center.
Lists
EXAMPLE 36
list = Range[12] {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Partition[list, 4] {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}} Partition[list, 5] {{1, 2, 3, 4, 5}, {6, 7, 8, 9, 10}}
Partition[list,5, 1] {{1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}, {3, 4, 5, 6, 7}, {4, 5, 6, 7, 8},{5, 6, 7, 8, 9}, {6, 7, 8, 9, 10}, {7, 8, 9, 10, 11}, {8, 9, 10, 11, 12}} Partition[list, 5, 2] {{1, 2, 3, 4, 5}, {3, 4, 5, 6, 7}, {5, 6, 7, 8, 9}, {7, 8, 9, 10, 11}} Partition[list, 5, 3] {{1, 2, 3, 4, 5}, {4, 5, 6, 7, 8}, {7, 8, 9, 10, 11}}
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