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Example of reduced system: In a 4/77 matrix, let us consider the base compound line ( 11 20 22 45 57 59 73). If we unfold this compound line (see the unfolding procedure and the similar example from the section titled Unfolding compound lines) and remove all simple lines containing several numbers from the same numerical range of tens (20 and 22, as well 57 and 59), we obtain a reduced system on the basis of a subjective criterion. From the 35 simple lines of the base compound line remained 16 simple lines of the reduced 11204557 11204559 11204573 11205773 11205973 11224557 system: 11224559 11224573 11225773 11225973 11455773 11455973 20455773 20455973 22455773 22455973 If, for example, the winning draw is (20 22 57 73), we have in the reduced system no simple line containing all these numbers, so we have no winners in the first category. Notice that a hypothetical play with the base compound line would ensure this winning. Still, we have 4 winnings in the second category (3 winning numbers), corresponding to simple lines (11 20 57 73), (11 22 57 73), (20 45 57 73) and (22 45 57 73), compared to 12 that we would have in the case of the hypothetic play with the base compound line. The numerical parameters attached to a reduced system are the following: r ' – the size of the base compound line; s – the number of simple lines of the reduced system; g – the coefficient of reduction of the base compound line (the ratio between the number of simple lines of the reduced system and the number of simple lines of the unfolded base compound line). These parameters fit the following equality and order relations: pPDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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