GB1235676A - A device for coding complex numbers in digital computers - Google Patents
A device for coding complex numbers in digital computersInfo
- Publication number
- GB1235676A GB1235676A GB3808067A GB3808067A GB1235676A GB 1235676 A GB1235676 A GB 1235676A GB 3808067 A GB3808067 A GB 3808067A GB 3808067 A GB3808067 A GB 3808067A GB 1235676 A GB1235676 A GB 1235676A
- Authority
- GB
- United Kingdom
- Prior art keywords
- complex numbers
- digital computers
- coding complex
- residues
- complex
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
- G06F7/729—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic using representation by a residue number system
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/4806—Computations with complex numbers
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computing Systems (AREA)
- General Engineering & Computer Science (AREA)
- Mathematical Physics (AREA)
- Peptides Or Proteins (AREA)
Abstract
1,235,676. Residue arithmetic for complex numbers. I. Y. AKUSHSKY, D. I. G. JUDITSKY and I. T. PAK. 18 Feb., 1968, No. 38080/67. Heading G4A. Complex numbers z k are represented by sets of positive real residues {rj k } with respect to a complex base {pj + iqj}, 1 # j # n, this being possible by virtue of a theorem of Gauss providing pj and qj are mutually prime for all j; arithmetic operations are performed upon the residues, and the results are transformed back into complex numbers. The theory given is incomplete.
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR87803A FR1505779A (en) | 1966-12-16 | 1966-12-16 | Method for coding numbers in digital calculators and device for its realization |
GB3808067A GB1235676A (en) | 1966-12-16 | 1968-02-18 | A device for coding complex numbers in digital computers |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR87803A FR1505779A (en) | 1966-12-16 | 1966-12-16 | Method for coding numbers in digital calculators and device for its realization |
GB3808067A GB1235676A (en) | 1966-12-16 | 1968-02-18 | A device for coding complex numbers in digital computers |
Publications (1)
Publication Number | Publication Date |
---|---|
GB1235676A true GB1235676A (en) | 1971-06-16 |
Family
ID=26174374
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
GB3808067A Expired GB1235676A (en) | 1966-12-16 | 1968-02-18 | A device for coding complex numbers in digital computers |
Country Status (2)
Country | Link |
---|---|
FR (1) | FR1505779A (en) |
GB (1) | GB1235676A (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
EP0314559A1 (en) * | 1987-10-30 | 1989-05-03 | Thomson-Csf | Calculating circuit using residue arithmetic |
-
1966
- 1966-12-16 FR FR87803A patent/FR1505779A/en not_active Expired
-
1968
- 1968-02-18 GB GB3808067A patent/GB1235676A/en not_active Expired
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
EP0314559A1 (en) * | 1987-10-30 | 1989-05-03 | Thomson-Csf | Calculating circuit using residue arithmetic |
FR2622713A1 (en) * | 1987-10-30 | 1989-05-05 | Thomson Csf | CALCULATION CIRCUIT USING RESIDUAL ARITHMETICS |
US4949294A (en) * | 1987-10-30 | 1990-08-14 | Thomson-Csf | Computation circuit using residual arithmetic |
Also Published As
Publication number | Publication date |
---|---|
FR1505779A (en) | 1967-12-15 |
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