GB1235676A - A device for coding complex numbers in digital computers - Google Patents

A device for coding complex numbers in digital computers

Info

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
Application number
GB3808067A
Inventor
Izrail Yakovlevich Akushsky
Davlet Islam Gireevic Juditsky
Ivan Timofeevich Pak
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Individual
Original Assignee
Individual
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Priority to FR87803A priority Critical patent/FR1505779A/en
Application filed by Individual filed Critical Individual
Priority to GB3808067A priority patent/GB1235676A/en
Publication of GB1235676A publication Critical patent/GB1235676A/en
Expired legal-status Critical Current

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.
GB3808067A 1966-12-16 1968-02-18 A device for coding complex numbers in digital computers Expired GB1235676A (en)

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)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0314559A1 (en) * 1987-10-30 1989-05-03 Thomson-Csf Calculating circuit using residue arithmetic

Cited By (3)

* Cited by examiner, † Cited by third party
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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