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QUANTUM COMPUTING - EXAMPLE 32.3 : A system of linear congruences consists of 3 equations : X ≡ 1 (mod 3), X ≡ 3 (mod 5), X ≡ 4 (mod 6). X has positive values. (a) List the values of these equations from 1 to 35. Then find the minimum value of X. (b)(i) Find the least common multiple (LCM) of b = 3, 5 and 6 where X ≡ a (mod b). (ii) If b - a has the same value of all equations above, then X + (b - a) is divisible by LCM. Find the value of minimum value of X via LCM division.
1 2242QUANTUM COMPUTING - EXAMPLE 32.4 : A system of linear congruences consists of 3 equations : X ≡ 1 (mod 2), X ≡ 3 (mod 3), X ≡ 4 (mod 5). X has positive values. (a)(i) List the values of these equations from 1 to approximately 40. (ii) Find the first smallest value and second smallest value of X. (iii) Guess the third smallest value of X. (b) Let X ≡ Aa (mod Ma), X ≡ Ab (mod Mb), X ≡ Ac (mod Mc). According to Chinese remainder theorem, X ≡ (Aa x Ya x Md + Ab x Yb x Me + Ac x Yc x Mf) [ mod (Ma x Mb x Mc) ]. (i) Show that Ma, Mb and Mc have the greatest common divisor of Ma x Mb x Mc. (ii) Find the values of Md, Me and Mf if Md = Mb x Mc, Me = Ma x Mc and Mf = Ma x Mb. (iii) Find the values of Ya, Yb and Yc if Ya = Remainder of (Md / Ma), Yb = Remainder of (Me / Mb) and Yc = Remainder of (Mf / Mc). (iv) Use Chinese remainder theorem to find X.
1 2407what's the difference between 'shaft power demand' and 'BHP' , when we consider electrical load list.
HEC,
1518I have received my ielts result n i have scored folloeing score Listening: 5.5 Reading: 4.5 Writing: 5.5 Speaking:6.5 Overall: 5.5 Can I apply for student visa ? Is it there any chance to get the student visa ? Please reply as soon as possible😊
1446Which of the following armed forces has decided ( in August 2016) to appoint P V Sindhu ( Olympic silver medalist) as its brand ambassador? A) ITBP B) CRPF C) NSG D) CISF
1 2286I need a query to list out "Subinventory Transfer" record from Oct 2016 to Oct 2017 for few users
1207Hello can anybody list out supported and unsupported browsers for Window OS,Android OS,MAC OS Ubuntu
1630Make a list of materials and layout diagram for a 35hp motor, to be wired at 35meter away from the MDB in a chemical factory.
FEWA,
2 4604
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