Abstract: The present invention is a non-linear genetic algorithm for problem solving. The iterative process of the present invention operates on a population of problem solving entities. First, the activated entities perform producing results. Then the results are assigned values and associated with the producing entity. Next, entities having relatively high associated values are selected. The selected entities perform either crossover or fitness proportionate reproduction. In addition other operations such as mutation, permutation, define building blocks and editing may be used. Lastly, the newly created entities are added to the population.This invention disclosed herein is useful for solving at least three groups of problems. The first group of problems consists of a problem that presents itself under several different names, namely, the problem of symbolic function identification, symbolic regression, empirical discovery, modeling, induction, chaos, and forecasting.

Abstract: A game in which a player of the game acquires a ticket containing some information stored therein for comparison to information broadcasted from a transmitter. The broadcasted information contains a value, such as a number, corresponding to a winning number. The stored information is compared to the broadcasted information and if a match results, then the ticket is deemed to be a winning ticket.

Abstract: A ticket apparatus for a game is described. The ticket apparatus includes storage means for storing a first value. A receiver is included for receiving a broadcast of a broadcast value for the game, wherein the broadcast value is broadcast over a first transmission medium. The ticket apparatus includes means for ascertaining whether the first value is a winning value in view of the received broadcast value. A transmitter responsive to the ascertaining means is included for transmitting over a second transmission medium a signal that indicates that the first value is the winning value if the first value is the winning value. A method of playing a game is also described, wherein locater means are used to locate a ticket apparatus.

Abstract: The present invention is a non-linear genetic algorithm for problem solving. The iterative process of the present invention operates on a population of problem solving entities. First, the activated entities perform, producing results. Then the results are assigned values and associated with the producing entity. Next, entities having relatively high associated values are selected. The selected entities perform either crossover, reproduction, or permutation operations. Lastly, the newly created entities are added to the population.

Abstract: A method for enhancing the security of instant lottery tickets. A book number indicating from which packet a particular lottery ticket originated is printed on the back of the ticket and an integrity number is printed on the front of the ticket. The integrity number is related to the book number by an algorithm known only to the ticket manufacturer and the lottery administration. To further enhance the security of the ticket, the book number and integrity number are simultaneously printed onto the ticket.

Abstract: A video amusement gaming system with pool prize structures including remote game terminals and a central controller with two-way communications between the remote game terminals and the central controller. Prize awards are based upon random shuffling of a set of prize awards among a predetermined pool of plays for each remote game terminal. This ensures an equal distribution of prize awards to each remote game terminal. The shuffling of prizes is based upon a random seed produced either by the remote terminal of the central controller or by both.

Abstract: A video amusement game terminal for a gaming system for playing a game providing the illusion of skill. A game processor provides a video game presentation in response to player control wherein a prize award is disclosed through presentation of achievement by the player of a designated objective. The presentation provides to the player the illusion that the prize award is determined by player skill in achievement of the designated objective.

Abstract: A composite sheet susceptible to having a water base ink applied by an ink jet printing system is provided. The sheet includes a non-absorbent substrate, such as aluminum on to which is applied a coating of hydroxypropyl cellulose dissolved in an organic solvent and containing a suitable flatting agent such as finely divided amorphous silica. The coating is applied in a thickness in the range of 3 to 25 microns. The method of preparing the composite sheet is also disclosed.

Abstract: A method for making a game ticket, such as for example a lottery ticket, is disclosed in which the ticket has a base sheet and a cover sheet adhesively joined together in peripheral portions of sections containing information used in the game. The cover sheet, along with other materials placed on the base sheet, conceals the information to be used in the game and prevents undetected tampering with the ticket. The ticket is formed from a base sheet on which information to be concealed is printed, and a release coating is deposited over predetermined areas of the previously printed information. Thereafter an opaque material is applied over the release coating to conceal the information in the printed areas, which opaque material is adapted to be rubbed off when the ticket is used. Thereafter the non-transparent cover sheet is adhered to the base sheet along predetermined areas surrounding the sections of the base sheet defining individual tickets.

Abstract: A game ticket which is particularly useful as a lottery ticket is claimed. The ticket basically comprises at least a base sheet and a cover sheet which are adhesively joined together in a peripheral portion. Information to be concealed is placed on the surface of the base sheet which faces the cover sheet. This information is concealed by covering it with a suitable, removable material which is opaque thus concealing the information until the opaque material is removed. In order to provide security for the ticket so that the purchaser may be sure that no one has been able to determine whether or not it is a winning ticket prior to being opened by the purchaser, a tear line of perforations extends through the cover and base sheets and the ticket must be torn along this line to gain access to the covered or concealed information.