The New Encyclopædia Britannica, Volume 2Encyclopædia Britannica, 1992 - 32 pages |
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Page 18
... solution of the congruence 2x = 7 ( mod 4 ) is any integer x that satisfies the congruence . This congruence has no solutions because 2x - 7 is odd for every x and cannot be divisible by 4. But the congruence 2x = 7 ( mod 13 ) does have ...
... solution of the congruence 2x = 7 ( mod 4 ) is any integer x that satisfies the congruence . This congruence has no solutions because 2x - 7 is odd for every x and cannot be divisible by 4. But the congruence 2x = 7 ( mod 13 ) does have ...
Page 19
... solution because 123 is not divisible by the GCD ( 20 , 45 ) . But the system x = 13 ( mod 20 ) , x = 3 ( mod 45 ) , x = 57 ( mod 72 ) does have a solution . To determine all solutions , use the first congruence to write x = 13+ 20k and ...
... solution because 123 is not divisible by the GCD ( 20 , 45 ) . But the system x = 13 ( mod 20 ) , x = 3 ( mod 45 ) , x = 57 ( mod 72 ) does have a solution . To determine all solutions , use the first congruence to write x = 13+ 20k and ...
Page 47
... solution may exist from local knowledge of the functions . ( Local knowledge means information derived from the values of the function at a few points near a particular x . ) Methods that use a local approximation to estimate the solution ...
... solution may exist from local knowledge of the functions . ( Local knowledge means information derived from the values of the function at a few points near a particular x . ) Methods that use a local approximation to estimate the solution ...
Contents
NUMBER GAMES and Other Mathematical Recreations | 1 |
NUMBER THEORY | 14 |
NUMERICAL ANALYSIS | 38 |
Copyright | |
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