Mega number

A mega number, usually known as a powerball or mega ball, is a number drawn in a lottery game that comes from a second number field, rather than among the game's "regular" numbers.

As of 2015, forty-six U.S. lotteries offer Mega Millions and Powerball, Mega Millions, These games each use two sets of numbers. Mega Millions draws five rubber balls from a machine containing 75 balls. A sixth number, the "Mega Ball", then is drawn from a second drum, of 15 numbers. Powerball draws from two sets of numbers as well..

The double matrixes are chosen so that both the jackpot odds and the overall odds of winning can be controlled. In either game, all six numbers must be matched to win or share a jackpot; however, matching the number drawn from the second drum automatically wins.

The order in which the five regular numbers are drawn does not matter. A player holding a ticket with 1-2-3-4-5 in one game matches all five regular numbers if the order in which the machine selects these numbers is 5-2-4-3-1. To win a jackpot, the player must match not only the first five numbers drawn (in any order) but also match the "mega number" from the second machine.

Steinhaus–Moser notation

In mathematics, Steinhaus–Moser notation is a notation for expressing certain extremely large numbers. It is an extension of Steinhaus's polygon notation.

Definitions

etc.: n written in an (m + 1)-sided polygon is equivalent with "the number n inside n nested m-sided polygons". In a series of nested polygons, they are associated inward. The number n inside two triangles is equivalent to nⁿ inside one triangle, which is equivalent to nⁿ raised to the power of nⁿ.

Steinhaus only defined the triangle, the square, and a circle , equivalent to the pentagon defined above.

Special values

Steinhaus defined:

Moser's number is the number represented by "2 in a megagon", where a megagon is a polygon with "mega" sides.

Alternative notations: