AFDO: Difference between revisions

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In 2023, [[Flora Canou]] revived the old term, reinterpreting the word "arithmetic" as a reference to the [[Wikipedia: Arithmetic mean|arithmetic mean]] in addition to arithmetic progressions, then extended it through the other [[Pythagorean means]], and later through all [[power mean]]s. As it was shown that ''arithmetic'' alone was insufficient to define the object since frequency could not be assumed, the term was eventually changed to AFDO, showing both the type of power mean and the sampled resource.

== Individual pages for AFDOs ==

=== By size ===

{| class="wikitable center-all"

|+ style=white-space:nowrap | 0…99

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| [[199afdo|199]]

|}

=== By prime family ===

'''Over-2''': {{AFDOs|2, 4, 8, 16, 32, 64, 128, 256, 512}}

'''Over-2''': {{AFDOs|3, 6, 12, 24, 48, 96, 192, 384}}

'''Over-5''': {{AFDOs|5, 10, 20, 40, 80, 160, 320}}

'''Over-7''': {{AFDOs|7, 14, 28, 56, 112, 224, 448}}

'''Over-11''': {{AFDOs|11, 22, 44, 88, 176, 352}}

'''Over-13''': {{AFDOs|13, 26, 52, 104, 208, 416}}

'''Over-17''': {{AFDOs|17, 34, 68, 136, 272, 544}}

'''Over-19''': {{AFDOs|19, 38, 76, 152, 304}}

'''Over-23''': {{AFDOs|23, 46, 92, 184, 368}}

=== By other properties ===

'''Prime''': {{AFDOs|2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271}}

'''Semiprime''': {{AFDOs|4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95, 106, 111, 115, 118, 119, 121, 122, 123, 129, 133, 134, 141, 142, 143, 145, 146, 155, 158, 159, 161, 166, 169, 177, 178, 183, 185, 187}}

'''Odd squarefree semiprime''': {{AFDOs|15, 21, 33, 35, 39, 51, 55, 57, 65, 69, 77, 85, 87, 91, 93, 95, 111, 115, 119, 123, 129, 133, 141, 143, 145, 155, 159, 161, 177, 183, 185, 187, 201, 203, 205, 209, 213, 215, 217, 219, 221, 235, 237, 247, 249, 253, 259, 265, 267, 287, 291, 295, 299, 301, 303}}

'''Prime powers (without primes)''': {{AFDOs|4, 8, 9, 16, 25, 27, 32, 49, 64, 81, 121, 125, 128, 169, 243, 256, 289, 343, 361, 512, 529, 625, 729, 841, 961, 1024, 1331, 1369, 1681, 1849, 2048, 2187, 2197, 2209, 2401, 2809, 3125, 3481, 3721, 4096, 4489, 4913, 5041, 5329, 6241, 6561, 6859, 6889, 7921, 8192, 9409}}

== See also ==

@@ Line 41: / Line 41: @@
 In 2023, [[Flora Canou]] revived the old term, reinterpreting the word "arithmetic" as a reference to the [[Wikipedia: Arithmetic mean|arithmetic mean]] in addition to arithmetic progressions, then extended it through the other [[Pythagorean means]], and later through all [[power mean]]s. As it was shown that ''arithmetic'' alone was insufficient to define the object since frequency could not be assumed, the term was eventually changed to AFDO, showing both the type of power mean and the sampled resource.
 == Individual pages for AFDOs ==
+=== By size ===
 {| class="wikitable center-all"
 |+ style=white-space:nowrap | 0…99
@@ Line 266: / Line 268: @@
 | [[199afdo|199]]
 |}
+=== By prime family ===
+'''Over-2''': {{AFDOs|2, 4, 8, 16, 32, 64, 128, 256, 512}}
+'''Over-2''': {{AFDOs|3, 6, 12, 24, 48, 96, 192, 384}}
+'''Over-5''': {{AFDOs|5, 10, 20, 40, 80, 160, 320}}
+'''Over-7''': {{AFDOs|7, 14, 28, 56, 112, 224, 448}}
+'''Over-11''': {{AFDOs|11, 22, 44, 88, 176, 352}}
+'''Over-13''': {{AFDOs|13, 26, 52, 104, 208, 416}}
+'''Over-17''': {{AFDOs|17, 34, 68, 136, 272, 544}}
+'''Over-19''': {{AFDOs|19, 38, 76, 152, 304}}
+'''Over-23''': {{AFDOs|23, 46, 92, 184, 368}}
+=== By other properties ===
+'''Prime''': {{AFDOs|2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271}}
+'''Semiprime''': {{AFDOs|4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95, 106, 111, 115, 118, 119, 121, 122, 123, 129, 133, 134, 141, 142, 143, 145, 146, 155, 158, 159, 161, 166, 169, 177, 178, 183, 185, 187}}
+'''Odd squarefree semiprime''': {{AFDOs|15, 21, 33, 35, 39, 51, 55, 57, 65, 69, 77, 85, 87, 91, 93, 95, 111, 115, 119, 123, 129, 133, 141, 143, 145, 155, 159, 161, 177, 183, 185, 187, 201, 203, 205, 209, 213, 215, 217, 219, 221, 235, 237, 247, 249, 253, 259, 265, 267, 287, 291, 295, 299, 301, 303}}
+'''Prime powers (without primes)''': {{AFDOs|4, 8, 9, 16, 25, 27, 32, 49, 64, 81, 121, 125, 128, 169, 243, 256, 289, 343, 361, 512, 529, 625, 729, 841, 961, 1024, 1331, 1369, 1681, 1849, 2048, 2187, 2197, 2209, 2401, 2809, 3125, 3481, 3721, 4096, 4489, 4913, 5041, 5329, 6241, 6561, 6859, 6889, 7921, 8192, 9409}}
 == See also ==