{"id":228,"date":"2023-08-03T21:57:52","date_gmt":"2023-08-03T21:57:52","guid":{"rendered":"https:\/\/statorials.org\/my\/benford-%e1%81%8f%e1%80%a5%e1%80%95%e1%80%92%e1%80%b1\/"},"modified":"2023-08-03T21:57:52","modified_gmt":"2023-08-03T21:57:52","slug":"benford-%e1%81%8f%e1%80%a5%e1%80%95%e1%80%92%e1%80%b1","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/benford-%e1%81%8f%e1%80%a5%e1%80%95%e1%80%92%e1%80%b1\/","title":{"rendered":"Benford \u104f\u1025\u1015\u1012\u1031"},"content":{"rendered":"

\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Benford \u104f\u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1025\u1015\u1012\u1031\u104f\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b <\/p>\n

<\/span> Benford \u104f\u1025\u1015\u1012\u1031\u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b<\/span><\/h2>\n

Benford’s law<\/strong> \u104a the law of the first digit<\/strong> \u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u100a\u103a \u104a \u101e\u100a\u103a \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a \u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1021\u1005 \u104f \u1015\u1011\u1019 \u1002\u100f\u1014\u103a\u1038 \u101e\u100a\u103a 1 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038 \u1000\u102d\u1014\u103a\u1038 \u1019\u103b\u102c\u1038 \u1011\u1000\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1015\u102d\u102f\u1019\u103b\u102c\u1038 \u101e\u100a\u103a\u101f\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1025\u1015\u1012\u1031 \u1010\u1005\u103a\u101b\u1015\u103a \u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/p>\n

\u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a Benford \u104f \u1025\u1015\u1012\u1031\u1000 \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1018\u101d\u1010\u103d\u1004\u103a \u1010\u100a\u103a\u101b\u103e\u102d\u1014\u1031\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1014\u1036\u1015\u102b\u1010\u103a 1 \u101e\u100a\u103a \u1012\u1031\u1010\u102c\u104f\u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1011\u1015\u103a\u1001\u102b\u1011\u1015\u103a\u1001\u102b\u1016\u103c\u1005\u103a\u1014\u1031\u101e\u1031\u102c \u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u102f \u1006\u102d\u102f\u101e\u100a\u103a\u104b<\/p>\n

\u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a \u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u101c\u1031\u104a \u1015\u1011\u1019\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a \u101b\u1015\u103a\u1010\u100a\u103a\u101b\u1014\u103a \u1021\u101c\u102c\u1038\u1021\u101c\u102c\u1014\u100a\u103a\u1038\u101c\u1031\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a 1 \u1011\u1000\u103a 2 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031 \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 2 \u101e\u100a\u103a 3 \u1011\u1000\u103a \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u100a\u103a\u104a 3 \u101e\u100a\u103a 4 \u1011\u1000\u103a \u1015\u102d\u102f\u1019\u103b\u102c\u1038\u101e\u100a\u103a\u104b<\/p>\n

Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a\u1021\u1019\u1031\u101b\u102d\u1000\u1014\u103a Frank Benford \u1019\u103e\u104e\u1004\u103a\u1038\u104f\u1021\u1019\u100a\u103a\u1000\u102d\u102f\u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1019\u1010\u102e\u1011\u103d\u1004\u103a\u1001\u1032\u1037\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 Benford \u101e\u100a\u103a \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u101c\u1030\u1000\u103c\u102d\u102f\u1000\u103a\u1019\u103b\u102c\u1038\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a Benford \u104f\u1025\u1015\u1012\u1031\u104f\u1007\u102c\u1005\u103a\u1019\u103c\u1005\u103a\u1000\u102d\u102f\u1010\u103d\u1031\u1037\u101b\u1015\u102b\u1019\u100a\u103a\u104b <\/p>\n

<\/span> Benford \u104f\u1025\u1015\u1012\u1031\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/span><\/h2>\n

Benford \u104f\u1025\u1015\u1012\u1031\u1010\u103d\u1004\u103a \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u1011\u102d\u102f\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1011\u1000\u103a\u1010\u1005\u103a\u1015\u1031\u102b\u1004\u103a\u1038\u104f \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u101f\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/p>\n

\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a Benford \u104f\u1025\u1015\u1012\u1031\u1021\u1010\u103d\u1000\u103a \u1015\u102f\u1036\u101e\u1031\u1014\u100a\u103a\u1038\u1019\u103e\u102c<\/strong> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<\/p>\n

\"\\begin{array}{c}\\displaystyle<\/p>\n<\/p>\n

\u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a Benford \u104f \u1025\u1015\u1012\u1031\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u104a \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1015\u1005\u1039\u1005\u100a\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u104f \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c \u1014\u1036\u1015\u102b\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101b\u101a\u1030\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1007\u101a\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- <\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\u1015\u102f\u1036<\/th>\n \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031 \u1019\u103b\u102c\u1038\u1015\u102b\u1010\u101a\u103a\u104b
\u1015\u1011\u1019\u1014\u1036\u1015\u102b\u1010\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u1005\u1031\u104b<\/th>\n<\/tr>\n<\/thead>\n
\u1041<\/td>\n 30.1%<\/td>\n<\/tr>\n
\u1042<\/td>\n 17.6%<\/td>\n<\/tr>\n
\u1043<\/td>\n 12.5%<\/td>\n<\/tr>\n
\u1044<\/td>\n \u1049.\u1047%<\/td>\n<\/tr>\n
\u1045<\/td>\n 7.9%<\/td>\n<\/tr>\n
\u1046<\/td>\n 6.7%<\/td>\n<\/tr>\n
\u1047<\/td>\n \u1045.\u1048%<\/td>\n<\/tr>\n
\u1048<\/td>\n 5.1%<\/td>\n<\/tr>\n
\u1049<\/td>\n 4.6%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n

\u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a Benford \u104f \u1025\u1015\u1012\u1031\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1002\u101b\u1015\u103a\u1016\u1005\u103a\u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u100a\u1037\u103a histogram \u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a- <\/p>\n

\"Benford<\/figure>\n

<\/span>Benford \u104f\u1025\u1015\u1012\u1031\u101e\u1019\u102d\u102f\u1004\u103a\u1038<\/span><\/h2>\n

1881 \u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u100a\u102c\u101b\u103e\u1004\u103a Simon Newcomb \u101e\u100a\u103a \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u1011\u1019\u1005\u102c\u1019\u103b\u1000\u103a\u1014\u103e\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1005\u102c\u1019\u103b\u1000\u103a\u1014\u103e\u102c\u1019\u103b\u102c\u1038\u1011\u1000\u103a \u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1015\u102d\u102f\u1019\u102d\u102f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1010\u103d\u1031\u1037\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1001\u102b Benford \u104f\u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1014\u102f\u1010\u103a\u1011\u103d\u1000\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u104f \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1014\u103a\u1038\u1010\u1030\u101b\u100a\u103a\u1010\u1030 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031 \u1019\u101b\u103e\u102d\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 1 \u101e\u100a\u103a 2 \u1011\u1000\u103a \u1019\u1000\u103c\u102c\u1001\u100f \u104a 2 \u1011\u1000\u103a \u1015\u102d\u102f\u1019\u1000\u103c\u102c\u1001\u100f 3 \u1014\u103e\u1004\u1037\u103a 9 \u1021\u1011\u102d \u1005\u101e\u100a\u103a\u1010\u102d\u102f\u1037\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n

\u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 Newcomb \u101e\u100a\u103a \u1024\u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1021\u1011\u1031\u102c\u1000\u103a\u1021\u1011\u102c\u1038\u1019\u103b\u102c\u1038 \u1019\u1011\u102c\u1038\u1001\u1032\u1037\u1018\u1032\u104a \u101e\u1030\u101e\u100a\u103a \u101c\u1031\u102c\u1037\u1002\u101b\u1005\u103a\u101e\u1019\u103a \u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u104f \u1005\u102f\u1010\u103a\u1015\u103c\u1032\u1001\u103c\u1004\u103a\u1038\u1019\u103e \u1014\u102f\u1010\u103a\u1011\u103d\u1000\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/p>\n

\u1021\u1011\u1030\u1038\u101e\u1016\u103c\u1004\u1037\u103a 1938 \u1001\u102f\u1014\u103e\u1005\u103a \u1014\u1031\u102c\u1000\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u101b\u1030\u1015\u1017\u1031\u1012\u1015\u100a\u102c\u101b\u103e\u1004\u103a Frank Benford \u101e\u100a\u103a \u1021\u101c\u102c\u1038\u1010\u1030 \u1005\u1030\u1038\u1005\u1019\u103a\u1038\u101c\u1031\u1037\u101c\u102c\u1019\u103e\u102f\u1000\u102d\u102f \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u1032\u1037\u1015\u103c\u102e\u1038 \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1000\u103b\u1000\u103b \u1005\u1005\u103a\u1006\u1031\u1038\u101b\u1014\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f\u101c\u100a\u103a\u1038 \u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1014\u1019\u1030\u1014\u102c 20 \u1001\u102f\u1019\u103e \u1010\u1014\u103a\u1016\u102d\u102f\u1038 20,229 \u104f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038 \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1021\u1005\u102f\u1036\u1010\u103d\u1004\u103a \u1012\u1031\u1010\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u101c\u1031\u1037\u101c\u102c\u1001\u1032\u1037\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1015\u103c\u100a\u1037\u103a\u1005\u102f\u1036\u1015\u103c\u102e\u1038 \u1015\u1011\u1019\u1002\u100f\u1014\u103a\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1005\u1031\u101e\u100a\u1037\u103a\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1014\u102f\u1010\u103a\u101a\u1030\u1001\u1032\u1037\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u101b\u102f\u1015\u103a\u1015\u103c\u1001\u1032\u1037\u101e\u100a\u103a (\u1021\u1011\u1000\u103a\u1010\u103d\u1004\u103a \u1024\u1015\u102f\u1036\u101e\u1031\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u1001\u1032\u1037\u101b\u101e\u100a\u103a)\u104b<\/p>\n

\u1021\u1010\u102d\u102f\u1001\u103b\u102f\u1015\u103a\u1015\u103c\u1031\u102c\u101b\u101c\u103b\u103e\u1004\u103a Benford’s Law \u1000\u102d\u102f Simon Newcomb \u1019\u103e \u1015\u1011\u1019\u1006\u102f\u1036\u1038\u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1001\u1032\u1037\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038\u104a \u101e\u1030\u101e\u100a\u103a \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1021\u1010\u100a\u103a\u1015\u103c\u102f\u101e\u1030\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Frank Benford \u104f\u1021\u1019\u100a\u103a\u1000\u102d\u102f \u1001\u1031\u102b\u103a\u1006\u102d\u102f\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/p>\n

<\/span> Benford \u104f\u1025\u1015\u1012\u1031\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038<\/span><\/h2>\n

Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1021\u101c\u103d\u1014\u103a\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u1014\u101a\u103a\u1015\u101a\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a application \u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1025\u1015\u1012\u1031\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1005\u102e\u1038\u1015\u103d\u102c\u1038\u101b\u1031\u1038\u104a \u1007\u102e\u101d\u1017\u1031\u1012\u1014\u103e\u1004\u1037\u103a \u1014\u102d\u102f\u1004\u103a\u1004\u1036\u101b\u1031\u1038\u1010\u103d\u1004\u103a\u1015\u1004\u103a \u1010\u103d\u1004\u103a\u1000\u103b\u101a\u103a\u1005\u103d\u102c\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n

\u1018\u1031\u102c\u1002\u1017\u1031\u1012\u1010\u103d\u1004\u103a Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1001\u103c\u101a\u103a\u101c\u103e\u101a\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u102c\u1038 \u101e\u102d\u101b\u103e\u102d\u101b\u1014\u103a \u1019\u1000\u103c\u102c\u1001\u100f\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104a \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u103e\u102c \u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u101e\u100a\u103a Benford \u104f\u1025\u1015\u1012\u1031\u1014\u103e\u1004\u1037\u103a \u1019\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1001\u103c\u101a\u103a\u101c\u103e\u101a\u103a\u1011\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1021\u1001\u103d\u1014\u103a\u101c\u102d\u1019\u103a\u101c\u100a\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1016\u1031\u102c\u103a\u1011\u102f\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n

\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a Benford \u104f \u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u1005\u1009\u103a\u1019\u103b\u102c\u1038\u104f \u1021\u1019\u103e\u1014\u103a\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u101e\u101b\u102f\u1015\u103a\u1015\u103c\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1019\u1015\u103c\u102f\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a Benford \u104f \u1005\u100a\u103a\u1038\u1019\u103b\u1009\u103a\u1038\u1000\u102d\u102f \u1011\u102e\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1021\u1010\u100a\u103a\u1015\u103c\u102f\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d\u1019\u101b\u1015\u102b\u104b<\/p>\n

\u1021\u1001\u103c\u102c\u1038\u1010\u1005\u103a\u1016\u1000\u103a\u1010\u103d\u1004\u103a\u104a \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1017\u102e\u1007\u1010\u103d\u1004\u103a Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101e\u1000\u103a\u101b\u103e\u102d\u1021\u1019\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u102d\u102f\u1038\u101b\u102d\u102f\u1038\u1017\u102e\u1007\u1021\u101b\u103e\u100a\u103a\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n

\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1010\u103d\u1004\u103a\u104a \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a \u104e\u1004\u103a\u1038\u104f\u1021\u101e\u102f\u1036\u1038\u101d\u1004\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u1031\u1038\u1001\u103d\u1014\u103a\u1038\u1011\u102f\u1010\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 Benford \u104f\u1025\u1015\u1012\u1031\u1021\u102c\u1038\u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1019\u1032\u1006\u1014\u1039\u1012\u101b\u103e\u1004\u103a\u1019\u101e\u1019\u102c\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a \u1000\u103c\u102d\u102f\u1038\u1015\u1019\u103a\u1038\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u1032\u1037\u101e\u100a\u103a\u104b<\/p>\n","protected":false},"excerpt":{"rendered":"

\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a Benford \u104f\u1025\u1015\u1012\u1031\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a Benford \u104f\u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102c\u1016\u103d\u1031\u1010\u103d\u1031\u1037\u101b\u103e\u102d\u1015\u103c\u102e\u1038 \u1024\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1025\u1015\u1012\u1031\u104f\u1021\u101e\u102f\u1036\u1038\u1001\u103b\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b Benford 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