# Dual Arithmetic; A New Art Volume 2

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1867 edition. Excerpt: ...+ W4' + Vt4(-M3M3) Hence the natural number is equal to the dual number, taken as a natural number, f the third operative number for w, + the nearest whole number to ul multiplied by the decimal utue. This rule is readily reversed. Hence 44. To find the dual number and the dual logarithm of a natural number of the form 1 ooouiuruep q. Rule. Subtract the third operative number for the digit w4 and the nearest whole number to ui x decimal 'U), the remainder is the required dual number when j is put for 1. The corresponding dual logarithm is expressed by the five dual digits thus obtained. Example. Ex. 1. Find the dual number and dual logarithm corresponding to the natural number i'00054775. The third coefficient for 5 is 10; the coefficients or operative numbers for 5 being I 5 10 10 5 I. 5 (-47) = 2-nearly. 100054775 12 =10 + 2 Dual number = J 0,0,0,5,4,7,6,3, Ex. 2. Find the dual number and dual logarithm of the natural number 1-00078987. The third coefficient for 7 is 21, the operative numbers being 1 7 21 35 35 2i 7 1; 7 (-89) = 6' nearly. 100078987 27 = 21+6 J0,0,0,7.8,9,6,0, dual number. 78960, dual logarithm. Natural number. Dual number. Dual logarithm. 1-00078987 l0,0,0,7,8,9,6,0, 78960, 45. Let each of the dual digits be less than 10, (Y) limited to nine places of figures, and = o, M2 = o; then (Y) becomes (IOOOOMW.) -4 - (X). In accordance with (41), (X) may be put under the form (looo-Au p2) u3 = (lOOOyy3p?) + u3 (iooou4w5-M3) + ioo-oM4) + w," (t) = (lOOUtUJlfUlPq) + -3'(lOO) + M3" (-1) + (WO + M3' ('OwJ seldom amounts to a unit, and in most cases may be neglected. In reversing the process w3(M4M5--6) must be put under the form uufi-) + ua(uB-ue). 46. To find the dual number and dual...show more

## Product details

• Paperback | 26 pages
• 189 x 246 x 1mm | 68g
• Miami Fl, United States
• English
• black & white illustrations
• 1236575725
• 9781236575722