On the possibility of transforming a system of two equations in eight variables into the form A 7 , 8 = A 1 , 2 + A 3 , 4 + A 5 , 6 , B 7 , 8 = B 1 , 2 + B 3 + B 5 with the aid of nomograms with a transparency of two degrees of freedom

Ján Pidany

Aplikace matematiky (1967)

  • Volume: 12, Issue: 2, page 136-142
  • ISSN: 0862-7940

Abstract

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This paper derives the necessary and sufficient conditions under which the system of equations x 7 = f ( x 1 , x 2 , x 3 , x 4 , x 5 , x 6 ) , x 8 = g ( x 1 , x 2 , x 3 , x 4 , x 5 , x 6 ) can be transformed into the form A 7 , 8 = A 1 , 2 + A 3 , 4 + A 5 , 6 , B 7 , 8 = B 1 , 2 + B 3 + B 5 ; this can be done with the help of nomograph with a oriented transparent.

How to cite

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Pidany, Ján. "O možnosti úpravy sústavy dvoch rovníc s ôsmimi neznámými na tvar $A_{7,8}=A_{1,2}+A_{3,4}+A_{5,6}$, $B_{7,8}=B_{1,2}+B_{3}+B_{5}$, ktorý môžeme zostrojiť pomocou nomogramov s priesvitkou o dvoch stupňoch voľnosti." Aplikace matematiky 12.2 (1967): 136-142. <http://eudml.org/doc/14463>.

@article{Pidany1967,
author = {Pidany, Ján},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {slo},
number = {2},
pages = {136-142},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {O možnosti úpravy sústavy dvoch rovníc s ôsmimi neznámými na tvar $A_\{7,8\}=A_\{1,2\}+A_\{3,4\}+A_\{5,6\}$, $B_\{7,8\}=B_\{1,2\}+B_\{3\}+B_\{5\}$, ktorý môžeme zostrojiť pomocou nomogramov s priesvitkou o dvoch stupňoch voľnosti},
url = {http://eudml.org/doc/14463},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Pidany, Ján
TI - O možnosti úpravy sústavy dvoch rovníc s ôsmimi neznámými na tvar $A_{7,8}=A_{1,2}+A_{3,4}+A_{5,6}$, $B_{7,8}=B_{1,2}+B_{3}+B_{5}$, ktorý môžeme zostrojiť pomocou nomogramov s priesvitkou o dvoch stupňoch voľnosti
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 2
SP - 136
EP - 142
LA - slo
KW - numerical analysis
UR - http://eudml.org/doc/14463
ER -

References

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  1. Боголъюбов Ю. И., О представимости системы двух уравнений с шестью переменными в виде, допускающем построение номограммы с ориентированным транспарантом в виде линейки, Номографический сборник № 3. ВЦ АН СССР 1965. (1965) Zbl1099.01519
  2. Хованский Г. С., Исследование возможностей преобразования номограмм с прозрачным ориентированным транспарентом, Вычислительная математика № 7. АН СССР, 1961. (1961) Zbl1160.68305
  3. Pleskot V., Nomografie, SNTL, Praha 1963. (1963) 

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