0410 



Rational Numbers; Arithmetical Operations 



0410 



systems. Cantor, G. Z. Mth. 



121-. 

 son. Stein, J. P. Crelle J. 1 



Numeration, 



Ps. 14 

 - , comj 



(1826) 369-. 

 Numerical system, new. Eissfeldt, F. Des 



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 Proportionality, conception. Bustelli, A. M. 



G. Mt. 13 (1875) 82-. 

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G. Mt. 15 (1877) 299-. 

 Variations of quantity, intensity. Bordoni, A. 



(vi Adds.) Opusc. Mt. Fis. 1 (1832) 97-. 



0410 Rational numbers; arith- 

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methods. Lodge, A. Mth. Gz. No, I 

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 Robertson, J. A. I. Act. J. 32 (1896) 160-. 



numbers, errors in products and powers. 

 Anon, (vi 540) Gergonne A. Mth. 11 

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(1866) 407-. 

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Neuch. Bll. (1846-47) 352-. 

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(1842) 249-, 487-. 

 , . Lionnet, E. N. A. Mth. 8 (1849) 



266-; 12 (1853) 177-. 



, , relative to the four fundamental opera- 

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Mm. 5 (1861) 361-. 



of roots, powers, &c. Bourdat, . Grenoble 

 Ac. Delph. Bll. 3 (1850) 447-. 



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Gergonne, . Gergonne A. Mth. 8 (1817- 



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961-. 

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It. Mm. 25 (1852) 1-. 



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16 (1892) (Pt. 2) 70-. 

 summations. Ocagne, M. d'. G. Teix. J. 



Sc. 7 (1886) 117-. 

 Binary arithmetic. Farquhar, H. Science 2 



(*1883) 755-. 



Calculation, Doms' method. Mewes, R. Dingier 



315 (1900) 547-. 

 , means of avoiding errors. Cauchy, A. L. 



C. B. 11 (1840) 789-, 826. 

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Ac. Bll. 20 (1865) 614- . 

 Calculations, arithmetical, involving large 



numbers. PervuSin, I. Kazan S. Ps.-Mth. 



Bll. 4 (1895) (Prot.) 74-. 

 , checking, note. Walenn, W. H. [1879] 



Ph. Mg. 9 (1880) 56-. 

 , instruments to aid. Thomson, G. [1896] 



Sc. S. Arts T. 14 (1898) 172-. 

 Computation for scientific purposes. Lupton, S. 



Nt. 37 (1888) 237-, 262-. 

 . Ramsay, W., & Young, S. Nt. 



37 (1888) 294-. 

 . Scott, E. E. Nt. 37 (1888) 



319. 

 . King, G. Nt. 37 (1888) 319-. 



of sums of products. Orlov, A. P. Kazan 

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. Preobraienskij, V. V. Kazan 



S. Nt. (Ps.-Mth.) P. 4 (1886) 72-. 

 Continued product of numbers without use of 



logs., by formula and table. Sylvester, J. J. 



Ph. Mg. 7 (1854) 430-. 

 Cube and cube-root, obtaining by Homer's 



method. Rusch, M. Arch. Mth. Ps. 67 



(1882) 291-. 



root. Nievengloski, G. H. N. A. Mth. 10 

 (1851) 86-. 



extraction. Midy, . N. A. Mth. 3 

 (1844) 234-. 



. GySry, S. (xn) Mag. Ak. Ets. 



(1851)282-; (1852) 62-. 

 . Hofmann, F. Grunert Arch. 22 



(1854) 240. 

 . Forestier, C. N. A. Mth. 17 



(1858) 7-. 

 . Gouzy, E. A. Arch. Mth. Ps. 49 



(1869) 101-. 

 , abridged. Hill, C. J. D. Crelle J. 



11 (1834) 262-. 

 . , . Miiller, J. H. T. Grunert Arch. 



8 (1846) 46-. 

 , . Genocchi, A. N. A. Mth. 17 



(1858) 136-. 

 , . Dostor, G. Arch. Mth. Ps. 64 



(1879) 321-. 

 , . Bernardi, G. G. Mt. 35 (1897) 



112-, 353. 



, integers. Delorme, . [1838] 

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, new method. Nicholson, P. Tilloch 



Ph. Mg. 56 (1820) 360-. 



roots by inspection. Evans, J. Tilloch Ph. 

 Mg. 51 (1818) 443-. 



Decimal notation, ancient and modern. 

 Piccard, . Laus. Bll. S. Vd. 6 (1859) 

 163- . 



numbers, multiplication. Vervaet, J. 

 Casopis 15 (1886) 24-; Fschr. Mth. (1886) 

 127. 



operations, simplifying and checking. 

 Cauchy, A. L. C. E. 11 (1840) 847-. 



places, error from neglected. Hoppe, R. 

 [1845] Crelle J. 40 (1850) 141-. 



43 



