| Webster's Online Dictionary |
| Part of Speech | Definition | |
| Expression | 1. (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x^ 2 + y^ 2 an exact square.[Websters]. | |
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| Expressions | Definition | ||
| Diophantine analysis | (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x^ 2 + y^ 2 an exact square. Source: Webster's Revised Unabridged Dictionary. | ||
Source: compiled by the editor from various references; see credits. | Top | ||
| Expressions | Domain | Definition | |
| Diophantine Analysis | Literature | 1: Diophantus was an Alexandrian Greek (5th cent. A.D.) 2: Finding commensurate values of squares, cubes, triangles etc. or the sum of a given number of squares which is itself a square; or a certain number of squares etc. which are in arithmetical progression. The following examples will give some idea of the theory: 3: 3. To find a number from which two given squares being severally subtracted, each of the remainders is a square. 4: 2. To find three square numbers which are in arithmetical progression; 5: 1. To find two whole numbers, the sum of whose squares is a square;. Source: Brewer's Dictionary. | |
Source: compiled by the editor from various references; see credits. | Top | ||