Lottery mathematics a game is Mega Millions, albeit with different jackpot odds. Where more than 1 powerball is drawn from a separate pool of balls to the main lottery (for example, in the EuroMillions game), the odds of the different possible powerball matching scores are calculated using the method shown in the "other scores" section above (in other words, the powerballs are like a mini-lottery in their own right), and then multiplied by the odds of achieving the required main-lottery score. If the powerball is drawn from the "same" pool of numbers as the main lottery, then, for a given target score,
Construction of the real numbers ideal respects the order on Q. Hence the resulting field is an ordered field. Completeness can be proved in a similar way to the construction from the Cauchy sequences. Every ordered field can be embedded in the surreal numbers. The real numbers form a maximal subfield that is Archimedean (meaning that no real number is infinitely large). This embedding is not unique, though it can be chosen in a canonical way. A relatively less known construction allows to define real numbers using only the additive group of integers formula_65 with different versions. The construction has been formally verified by the