Webster's Online Dictionary
with Multilingual Thesaurus Translation

 
Earth's largest dictionary with more than 1226 modern languages and Eve!

Definition: DIOPHANTINE ANALYSIS

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].

Source: Webster's Revised Unabridged Dictionary (1913)

Top

Definition: DIOPHANTINE ANALYSIS

Part of SpeechDefinition
Expression1. (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].

Source: Webster's Revised Unabridged Dictionary (1913)

Top

Common Expressions: DIOPHANTINE ANALYSIS

ExpressionsDefinition
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

Specialty Expressions: DIOPHANTINE ANALYSIS

ExpressionsDomainDefinition
Diophantine AnalysisLiterature1: 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