Abstract: An improved double down wager for blackjack involves offering the player a split double option. The split double option may be either in lieu of, or in addition to, a standard double down option. Originally, when a player elects a split double option, the player places a wager increase to the initial wager. The dealer then deals the player n additional cards. Each of the cards is separately used in combination with the initial cards to form a separate player final hand. The total wager is likewise divided into individual wagers for each player final hand so constructed. Each player final hand is then evaluated and resolved against the dealer's final hand with individual wagers being separately resolved.

Abstract: The player is randomly dealt an initial poker hand, optionally of five cards, from a composite deck formed from two or more subdecks of cards. The player decides which of the initial cards to discard, if any, retaining the remaining cards from the dealt hand. The player receives replacement cards to replace the discarded cards. The player's final poker hand consists of the player's retained cards and the dealt replacement cards. The dealer evaluates the poker hand so reconstituted against a prespecified payoff table, and the player loses the game wager or receives a reward, as indicated in that payoff table. The payoff table determines the reward for a final hand based on the combination of suit, value, and source subdeck of the cards comprising that final hand.

Abstract: A system and method for generating a lattice of points that respects features in a digital image. The method comprises a process for initializing the lattice, and a process for optimizing the configuration of that lattice with respect to the image features. The optimization process operates by adjusting points of the lattice to extremize a composite function of the spatial coordinates of the lattice points. The lattice points are interpreted as atoms. Each lattice point contributes a potential function to an atomic potential field. The image represents another potential field. The composite function is a weighted sum of the atomic and image potential fields evaluated at the lattice points.

Abstract: A system and method for generating a lattice of points that respects features in a digital image. The method comprises a process for initializing the lattice, and a process for optimizing the configuration of that lattice with respect to the image features. The optimization process operates by adjusting points of the lattice to extremize a composite function of the spatial coordinates of the lattice points. The lattice points are interpreted as atoms. Each lattice point contributes a potential function to an atomic potential field. The image represents another potential field. The composite function is a weighted sum of the atomic and image potential fields evaluated at the lattice points.

Abstract: A system and method for generating a lattice of points that respects features in a digital image. The method comprises a process for initializing the lattice, and a process for optimizing the configuration of that lattice with respect to the image features. The optimization process operates by adjusting points of the lattice to extremize a composite function of the spatial coordinates of the lattice points. The lattice points are interpreted as atoms. Each lattice point contributes a potential function to an atomic potential field. The image represents another potential field. The composite function is a weighted sum of the atomic and image potential fields evaluated at the lattice points.

Abstract: A system and method for generating a lattice of points that respects features in a digital image. The method comprises a process for initializing the lattice, and a process for optimizing the configuration of that lattice with respect to the image features. The optimization process operates by adjusting points of the lattice to extremize a composite function of the spatial coordinates of the lattice points. The lattice points are interpreted as atoms. Each lattice point contributes a potential function to an atomic potential field. The image represents another potential field. The composite function is a weighted sum of the atomic and image potential fields evaluated at the lattice points.

Abstract: A cationic catalyst composition comprising a reactive cation and a compatible non-coordinating anion is preferably used at a temperature of 20° C. or less to produce olefin polymers, particularly polymers and copolymers of isobutylene.

Abstract: A cationic catalyst composition comprising a reactive cation and a compatible non-coordinating anion is preferably used at a temperature of 20° C. or less to produce olefin polymers, particularly polymers and copolymers of isobutylene.

Abstract: The widely used JPEG standard algorithm for two-dimensional image compression may be adapted for compression of arrays of any dimension and data type, specifically for arrays of seismic data. Because the JPEG algorithm processes, more or less independently, small subsets (8.times.8 blocks) of larger images or arrays of data, such adaptations are particularly useful in applications that cannot maintain a large, uncompressed, multi-dimensional array in computer memory. JPEG-like methods enable compression and decompression of large arrays by iteration over sub-arrays that are small enough to reside in memory. These algorithms lead to the concept of a compressed virtual memory. Special care must be taken in JPEG-like algorithms to avoid blocking artifacts, which are discontinuities between blocks of data that are compressed and decompressed independently. Fortunately, computationally efficient methods for suppressing these artifacts are well known.