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With the Borda count A would get 23 points (5×3+4×1+2×2), B would get 24 points, and C would get 19 points, so B would be elected. In instant-runoff, C would be eliminated in the first round and A would be elected in the second round by 7 votes to 4. Now reversing the preferences: 5 voters prefer C then B then A; 4 voters prefer A then C then B
It turns out that under some decision making methods the best alternative may be different now. [1] This is known as a rank reversal and it is one of the types of rank reversals. The first type of rank reversal in the above context was observed by Belton and Gear in 1983 as part of a study [2] of the analytic hierarchy process (AHP). [3]
This happens trivially when n is a palindromic number; the nontrivial reverse divisors are 1089, 2178, 10989, 21978, 109989, 219978, 1099989, 2199978, ... (sequence A008919 in the OEIS). For instance, 1089 × 9 = 9801, the reversal of 1089, and 2178 × 4 = 8712, the reversal of 2178.
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The trace of J n is 1 if n is odd and 0 if n is even. In other words: tr ( J n ) = n mod 2 . {\displaystyle \operatorname {tr} (J_{n})=n{\bmod {2}}.} The determinant of J n is: det ( J n ) = ( − 1 ) n ( n − 1 ) 2 {\displaystyle \det(J_{n})=(-1)^{\frac {n(n-1)}{2}}} As a function of n , it has period 4, giving 1, 1, −1, −1 when n is ...
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For a CRT, the gamma that relates brightness to voltage is usually in the range 2.35 to 2.55; video look-up tables in computers usually adjust the system gamma to the range 1.8 to 2.2, [1] which is in the region that makes a uniform encoding difference give approximately uniform perceptual brightness difference, as illustrated in the diagram at ...
Trump’s incoming administration may reverse several Biden-era electric vehicle (EV) policies, including the $7,500 federal tax credit, potentially changing the auto industry by 2025.This could ...