Список проголосовавших за комментарий "Principle 80/20 % and binomiality<br/> <br/> Why are phenomena divided according to 80/20% principle and similar principles?<br/> <br/> Phenomena are divided by power binomially,<br/> where each phenomenon is 2 times larger than nearest phenomenon in power<br/> <br/> Series x+0.5x+0.25x+0.125x = 100 is numerically formed<br/> and values are grouped by power <br/> (x+0.5x)+(0.25x+0.125x) = 100<br/> <br/> Solving in decimal numbers without fractions we get x=100/1.875 and x=53.33<br/> <br/> Then 0.5x=26.67 and 0.25x=13.33 and 0.125x=6.67<br/> <br/> Returning to integral of sum of power of phenomena, we get:<br/> 53.33+26.67 = 80 and 13.33+6.67 = 20 in sum of 100% = 80% + 20%<br/> <br/> or<br/> 53.33+6.67 = 60 and 26.67+13.33 = 40 <br/> in total 100% = 60% + 40%<br/> <br/> Inverse problem, starting with smallest power phenomenon<br/> from equation x+2x+4x+8x=100, we get x =100/15 =6.67<br/> <br/> Checking all options through natural and decimal fractions,<br/> solution shows separation of 80% and 20% calculated exact<br/> <br/> 1 / 15 = about 6%<br/> 3 / 15 = 20% accurate<br/> 5 / 15 = 1/3 third exactly or about 33%<br/> 6 / 15 = 40% accurate or 2/5<br/> 9 / 15 = 60% accurate or 3/5<br/> 10 / 15 = 2/3 exactly or about 66%<br/> 12 / 15 = 80% accurate<br/> <br/> Square 10x10 =100 is divided at point 2x3 cells<br/> bounding areas 2x3=6 and 2x7=14 and 3x8=24 and 7x8=56<br/> <br/> Rounding up =6% +14% +24% +56% amounts are obtained<br/> =6% +14% = 20% and =24% +56% = 80%<br/> and =6% +24% = 30% and =14% +56% = 70%<br/> <br/> Having identified 80% of profitable goods and excluded 20% of little profitable<br/> among remaining goods, fractal stratification by 80% and by 20%<br/> <br/> Active 20% population includes 6% of most active and 14% of less active<br/> and also passive 80% includes 56% of inhabitants and 24% of indifferent<br/> <br/> Square 4x4=16 is simply divided into quarters<br/> <br/> 1 / 16 = 6%<br/> 2 / 16 = 13%<br/> 4 / 16 = 25% accurate<br/> 9 / 16 = 56%<br/> 12 / 16 = 75% accurate = (1+2+9) / 16<br/> <br/> Expressing by multiples 5:<br/> <br/> 55% +25% +15% +5% = 100%<br/> <br/> Presenting phenomena visually as a series of elements,<br/> size of each element depends on ordinal location<br/> <br/> Let's say binomial multiplier M = 1/2 = 0.5,<br/> then size of E(0) element of 0th dependent on<br/> size of E(N) element with number N <br/> is equal to E(N) = E(0) * M^N<br/> <br/> Check: E(0)=53.33 and N=3, <br/> then E(3) = 53.33*0.5^3 = 6.67<br/> <br/> Number of element N is calculated by inverse problem:<br/> to what extent should multiplier be raised to get result<br/> <br/> M^N = E(n)/E(0) and N = log(E(n)/E(0); M)<br/> <br/> Check: N = log(6.67/53.33; 0.5) = 3<br/> <br/> Trinity and ternary division are possible<br/> =15% +30% +55% = 100%<br/> <br/> Total: an expression of form<br/> «20% of actions create 80% of results»<br/> integrally consists of 2 independent phenomena,<br/> each of which is distributed binomially<br/> <br/> 80/20% principle is commonly referred to as «Pareto principle»"