SU37909A1 - A device for solving a system of linear equations - Google Patents

A device for solving a system of linear equations

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Publication number
SU37909A1
SU37909A1 SU103526A SU103526A SU37909A1 SU 37909 A1 SU37909 A1 SU 37909A1 SU 103526 A SU103526 A SU 103526A SU 103526 A SU103526 A SU 103526A SU 37909 A1 SU37909 A1 SU 37909A1
Authority
SU
USSR - Soviet Union
Prior art keywords
solving
equations
linear equations
cos
freedom
Prior art date
Application number
SU103526A
Other languages
Russian (ru)
Inventor
И.М. Рабинович
Original Assignee
И.М. Рабинович
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
Application filed by И.М. Рабинович filed Critical И.М. Рабинович
Priority to SU103526A priority Critical patent/SU37909A1/en
Application granted granted Critical
Publication of SU37909A1 publication Critical patent/SU37909A1/en

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  • Complex Calculations (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Description

прибора дл  решени  сис К авторскому свидетельству И 27  нвар  1932 года (с О выдаче авторского свндетеиьст приборы дл  решени  ситных уравнений с применеЦтической цепи в виде си )угольникев с устанавливаю едь о сгороианн. Подобные Ьют тот существенный недо ж кинематическа  цепь имеет гепеней свободы, вследствие ге  трудность определени  (бором корней уравнений. Ьгранени  указанного недо|бных приборах предлагаетс  Ьжду параллельными сторогольмиков прибора кннемж и , в виде п тизвеиных шарI или поступательиых кинеар , обеспечивающие пр ну )хранение параллельностей ррон. С целью испольэовадл  решени  системы урав их шеравенство свободных 1агаетс  вместо одной приь несколько параллельных : фиг. 1 изображает схему }гО мвогоугольиика; фиг. 2- |1ных кинематических цепей; поступательных кинемати редлагаемого прибора заследующем . Пусть, наприОПИС АНИЕ мы линейных уравнений. М. Рабиновича, за вленному р. о перв. № 103526). опубликовано 31 июл  1934 года. мер, дана система трех уравнении с трем  неизвестными: 4- -t- А CoX-j- b.,y C.jZ : А . . . (1) Права  часть у всех этих уравнений одна и та же; к такому виду может быть приведена люба  система уравнений , если только правые части уравнений не равны нулю. Прин в за неизвестные X : X COS ot-i, у X COS а.,, г ;rr . COS «5, где X - некоторый посто нный множитель , можно сказать следующее: если расположить щарнирные многоугольники (фиг. 1) так, что их стороны будут соответственно параллельны, а свободные концы их t расположатс  на линии 0, перпендикул рной к ОБ, то получатс  требуемые углы а, а, «зПри этом «1 cos   -|-&1 cos а, 4-Ci cos «3 В случае системы « уравнений с л неизвестными кинематическа  цепь (фиг. 1) имеет л2 - л-j-l степеней свободы, т. е. может занимать бесконечное множество различных положений. Если точки t приthe device for solving the system of copyright certificate And on January 27, 1932 (with the issuance of the author svdeteist devices for solving sieve equations with an applied circuit in the form of si) of the squares I install the unit of the burners. Such a substantial inadequate kinematic chain has a hedgehog of freedom, due to the difficulty of determining (by the roots of the equations. To find the indicated inappropriate devices, I suggest to store the parallelities in the parallel storogolms of the device). rron. In order to use the solution of the system, the equation of their free ratio is 1 instead of several parallel ones: FIG. 1 shows a schematic diagram of the city mountain region; FIG. 2- | 1 kinematic chains; translational kinematics of the device being offered next. Let, for example, we have linear equations. M. Rabinovich, for the given r. about first No. 103526). published July 31, 1934. measures, given a system of three equations with three unknowns: 4- -t- А CoX-j- b., y C.jZ: A. . . (1) The right part of all these equations is the same; any system of equations can be reduced to such a form, if only the right sides of the equations are not equal to zero. Received for unknown X: X COS ot-i, y X COS a. ,, g; rr. COS "5, where X is a certain constant factor, we can say the following: if the hinged polygons are positioned (Fig. 1) so that their sides are respectively parallel, and their free ends t are on the line 0, perpendicular to OB, then the required angles a, a, a, "for this" 1 cos - | - & 1 cos a, 4-Ci cos "3 will be obtained freedom, i.e., may occupy an infinite number of different positions If points t at

SU103526A 1932-01-27 1932-01-27 A device for solving a system of linear equations SU37909A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
SU103526A SU37909A1 (en) 1932-01-27 1932-01-27 A device for solving a system of linear equations

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
SU103526A SU37909A1 (en) 1932-01-27 1932-01-27 A device for solving a system of linear equations

Publications (1)

Publication Number Publication Date
SU37909A1 true SU37909A1 (en) 1934-07-31

Family

ID=48353961

Family Applications (1)

Application Number Title Priority Date Filing Date
SU103526A SU37909A1 (en) 1932-01-27 1932-01-27 A device for solving a system of linear equations

Country Status (1)

Country Link
SU (1) SU37909A1 (en)

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