Sur la représentation nomographique des équations à quatre variables

On the nomographic representation of equations with four variables

Authors

  • Lascu Bal Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania
  • Maria Mihoc Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania
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References

Bal, L., Rado, F., Lecţii de monografie. Ed. tehnică, Bucureşti 1956.

Bal, L., Nomogrammes à transparent orienté pour les équations à quatre et à cinq variables. (Romanian) Acad. R. P. Romîne. Fil. Cluj. Stud. Cerc. Mat. 8 1957 169-176, MR0106550.

Bal, L., Canonical forms for equations with four or five variables. (Russian) Mathematica (Cluj) 1 (24) 1959 193-197, MR0129150.

Bal, Lascu, Quelques types de nomogrammes tangentiels. (French) Mathematica (Cluj) 2 (25) 1960 201-210, MR0135244.

Bal, L., Condiţii pentru reprezentarea unei ecuaţii cu patru variabile cu nomograme tangenţiale cu puncte aliniate. Studia Universitatis Babeş-Bolyai, Seria I, Mat.-Phys. 1, 163-168, 1961.

Bal, L., Vornicescu, N., On nomographic representations of equations in four variables. (Romanian. French summary) Bul. Şti. Inst. Politehn. Cluj 12 1969 19-26, MR0286311.

(in Russian)

Gronwall, T. H., Sur les équations entre trois variable représentables par des nomogrammes à points alignés. Journal de mathématique pures et appliqueés. VIII, 6, 59-102, 1912.

Hovanskiĭ, G. S., A method of construction of nomograms with oriented transparencies. (Russian) Vyčisl. Mat. Vyčisl. Tehn. 2 (1955), 3-93, MR0072556.

Hovanskiĭ, G. S., - (in Russian)

Hovanskiĭ, G. S., Some questions in practical nomography. (Russian) Vyčisl. Mat. 4 1959 3-103, MR0111162.

Khovanskiĭ, G. S., Metody nomografirovaniya. (Russian) [Methods of nomography] Vyčisl. Centr. Akad. Nauk SSSR, Moscow, 1964. 224 pp., MR0299004.

Hovanskiĭ, G. S., Silaeva, E. A., Nomographic representation of generalized equations of third and fourth nomographic order, and successive linear interpolation formulae in tables with several entries. Dokl. Akad. Nauk SSSR 199 1253-1256 (Russian); translated as Soviet Math. Dokl. 12 1971 1285-1288, MR0286312.

Kellog, O., Nomograms with points in alignment. Zeitschrift für Mathematik und Physik, 63, 159-173, 1915.

Margoulis, W., Les abaques à transparent orienté ou tournant. Gauthier-Villars Paris, 1931.

Rado, Fr., Bal, L., Ghergely, E., Ionescu, Gh., Reprezentarea ecuaţiilor cu patru variabile cu ajutorul nomogramei romboidale. Lucrările Consfătuirii de geometrie diferenţială 361-366, 9-12 iunie 1955, Timişoara.

Wojtowicz, J., Methods of reducing equations of the fourth and fifth nomographic rank to the canonical form. (Polish) Zastos. Mat. 5 1960/1961 1-20, MR0128642.

Wojtowicz, J., Nomogramowalnosc wielomianow monograficznych czwartego rzedu nomograficznego o czterech zmiennych (disertaţie). Poligehnika Warszawa 1961.

Wojtowicz, J., On the anamorphosis factor which reduces the equation F(x,y,z,w)=0 to canonical forms of an equation of fourth nomographic rank in four variables. (Polish) Zastos. Mat. 6 1961/1963 363-375, MR0148253., 1973.

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Published

1974-08-01

How to Cite

Bal, L., & Mihoc, M. (1974). Sur la représentation nomographique des équations à quatre variables: On the nomographic representation of equations with four variables. Rev. Anal. Numér. Théorie Approximation, 3(2), 125–142. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1974-vol3-no2-art2

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