Abstract: A process for preparing a divinylarene dioxide including reacting (a) at least one divinylarene; and (b) at least one peracid oxidant compound, under conditions to form a divinylarene dioxide product; wherein the peracid oxidant compound is capable of providing an increased yield of a divinylarene dioxide product.

Abstract: A tray for holding canning jars comprising a plurality of wells arranged in a first row, second row and third row, each well comprising a bottom surface with ridges. The ridges in the first and third rows comprise an inner circle, two first opposing crescents, and two second opposing crescents. The ridges in the second row comprise a first semicircle and a second semicircle. The two first opposing crescents are situated opposite one another, and the two second opposing crescents are situated opposite one another on the bottom of the well and at a ninety-degree angle relative to the first opposing crescents. The first semicircle is situated opposite the second semicircle and is closer to the center of the bottom surface of the well than the second semicircle.

Abstract: A process for preparing a divinylarene dioxide including reacting (a) at least one divinylarene with (b) at least one oxidant in the presence of (c) at least one transition metal complex catalyst, and (d) optionally, in the presence of a solvent, and (e) optionally in the presence of a catalyst modifier under conditions to form a divinylarene dioxide product.

Abstract: A tray for holding canning jars comprising a plurality of wells arranged in a first row, second row and third row, each well comprising a bottom surface with ridges. The ridges in the first and third rows comprise an inner circle, two first opposing crescents, and two second opposing crescents. The ridges in the second row comprise a first semicircle and a second semicircle. The two first opposing crescents are situated opposite one another, and the two second opposing crescents are situated opposite one another on the bottom of the well and at a ninety-degree angle relative to the first opposing crescents. The first semicircle is situated opposite the second semicircle and is closer to the center of the bottom surface of the well than the second semicircle.

Abstract: A process provides a first price category and a second price category in which a lottery ticket can be purchased for a lottery game. The first price category is distinct from the second price category. The first price category corresponds to a first known portion of a linear prize and a first known portion of a non-linear prize associated with the lottery game. Further, the second price category corresponds to a second known portion of a linear prize and a second known portion of a non-linear prize associated with the lottery game. The second known portion of the linear prize is more than the first known portion of the linear prize, the second known portion of the non-linear prize being more than the first known portion of the non-linear prize.

Abstract: A process provides indicates, with a display module, on a display a first price category and a second price category in which an instant online lottery ticket can be purchased for an instant online lottery game and a supplemental game. The first price category is distinct from the second price category. The first price category corresponds to (i) a first known portion of an instant online linear prize and a first known portion of an instant online non-linear prize associated with the instant online lottery game and (ii) a supplemental game prize. The second price category corresponds to (i) a second known portion of the instant online linear prize and a second known portion of the instant online non-linear prize associated with the instant online lottery game and (ii) the supplemental game prize.

Abstract: A process provides a first price category and a second price category in which an instant online lottery ticket can be purchased for an instant online lottery game. The first price category is distinct from the second price category. Further, the first price category corresponds to a first known portion of a linear prize and a first known portion of a position specific prize associated with the instant online lottery game. In addition, the second price category corresponds to a second known portion of a linear prize and a second known portion of the position specific prize, the second known portion of the linear prize being more than the first known portion of the linear prize. The second known portion of the position specific prize is more than the first known portion of the position specific prize.

Abstract: A lottery game unit has a price selection input that receives a selection of a lottery ticket price at which a lottery ticket corresponding to a lottery game is to be purchased. The lottery ticket price is selected from a plurality of lottery ticket prices. Each of the lottery ticket prices corresponds to a distinct known percentage of a progressive jackpot which increases in size based on a portion of ticket sales revenue and that can be won with a full match of one of a plurality of game-play combinations.

Abstract: A process provides operates, with a processor, a lottery game. Further, the process indicates, with the processor, a first price at which a lottery player can purchase a first price lottery entry into the lottery game. The first price lottery entry has a predetermined quantity of numbers. The process also indicates, with the processor, a second price at which the lottery player can purchase a second price lottery entry into the lottery game. The lottery player has to purchase the first price lottery entry to be eligible to purchase the second price lottery entry. The second price lottery entry has the predetermined quantity of numbers as provided with the first price lottery entry.

Abstract: A process provides a first price category and a second price category in which a lottery ticket can be purchased for a lottery game. The first price category is distinct from the second price category. The first price category corresponds to a first known portion of a grand linear prize and a first known portion of a linear prize associated with the lottery game. The second price category corresponds to a second known portion of the grand linear prize and a second known portion of the linear prize. The grand linear prize is greater than the linear prize.

Abstract: A process is provided. The process provides, with a ticket printer, a plurality of lottery tickets such that each lottery ticket indicates a first lottery game and a second lottery game. The process also provides a first lottery game match prize category in the first lottery game such that a player having a lottery ticket with a match in the first lottery game wins a first lottery game prize. Further, the process provides a second lottery game match prize category in the second lottery game such that a player having a lottery ticket with a match in the second lottery game wins a prize. In addition, the process provides a first multiplier category and a second multiplier category in the second lottery game, without being utilized in the first lottery game.

Abstract: A process provides a lottery game. The process provides a prize category in the lottery game such that a player having a winning lottery ticket wins a prize associated with the prize category. In addition, the process provides a first multiplier category and a second multiplier category such that: (i) the first multiplier category is associated with a first multiplier that multiplies the prize, (ii) the second multiplier category is associated with a second multiplier that multiplies the prize, and (iii) the second multiplier is greater than the first multiplier. The process also performs a drawing of a set of winning lottery numbers. Further, the process performs a drawing of a multiplier. The multiplier is drawn from a set of multiplier indicators that includes a predetermined quantity of first multiplier indicators corresponding to the first multiplier and a predetermined quantity of second multiplier indicators corresponding to the second multiplier.

Abstract: A multi-priced lottery ticket dispensing machine is disclose. A price category reception module receives a first price category of a first distribution. The price category reception module receives a second price category of a second distribution. The second distribution is established so that a first association between the first distribution and the first price category has a variable ratio with a second association between the second distribution and the second price category. The multi-priced lottery ticket dispensing machine also has a user input module. Further, the multi-priced lottery ticket dispensing machine has a lottery ticket printer. The multi-priced lottery ticket dispensing machine also has a controller that receives the price categories, receives an input from the user, and provides an instruction to the lottery ticket printer.

Abstract: A method of multiple pricing for a predetermined or progressive single jackpot in a single lottery game is disclosed. For instance, a lottery ticket purchased for one dollar can result in a ten million dollar win, a lottery ticket purchased for two dollars can result in a twenty million dollar win, a lottery ticket purchased for three dollars can result in a thirty million dollar win, etc. Further, different winnings increments can be used. For instance, the three-dollar ticket can result in a forty million dollar win to induce the purchase of higher-priced tickets. The potential distributions can be established according to a constant ratio, a variable ratio, or a combination of a constant ratio and a variable ratio. In addition, the lottery prize can also be a variable prize that progressively increases with a percentage of each ticket sold. The prizes are won from a single pool.

Abstract: A process establishes a first price category corresponding to a first prize in a lottery game. The first prize funded from lottery ticket sales from the first price category. Further, the process establishes a second price category corresponding to a second prize in the lottery game. The second prize is distinct from the first prize. In addition, the second prize is funded from lottery tickets sales from the second price category without funding from the lottery ticket sales from the first price category. The process also indicates a predetermined multiple such that a potential prize distribution of the second prize is at least the multiple of a potential prize distribution of the first prize.

Abstract: A process provides a first price category and a second price category in which a scratch-off lottery ticket can be purchased for a instant lottery game. The first price category is distinct from the second price category. The first price category corresponds to a first known portion of a linear prize associated with the instant lottery game. The second price category corresponds to a second known portion of the linear prize associated with the instant lottery game. The second known portion of the linear prize is more than the first known portion of the linear prize. The process selects a set of instant lottery game numbers. The process generates a single predetermined ordered assortment of the set of instant lottery game numbers in a instant lottery matrix of numbers. The process generates, for each of the plurality of instant lottery tickets, a subset of the instant lottery game numbers.

Abstract: A process provides indicates, with a display module, on a display a first price category and a second price category in which an instant online lottery ticket can be purchased for an instant online lottery game and a supplemental game. The first price category is distinct from the second price category. The first price category corresponds to (i) a first known portion of an instant online linear prize and a first known portion of an instant online non-linear prize associated with the instant online lottery game and (ii) a supplemental game prize. The second price category corresponds to (i) a second known portion of the instant online linear prize and a second known portion of the instant online non-linear prize associated with the instant online lottery game and (ii) the supplemental game prize.

Abstract: A system is provided. The system includes a lottery ticket printer that prints a plurality of first price category lottery tickets, the plurality of second price category lottery tickets, and the plurality of third price category lottery tickets. Further, the system includes a lottery ticket distribution module that provides the plurality of first price category lottery tickets, the plurality of second price category lottery tickets, and the plurality of third price category lottery tickets to a plurality of players. The system also includes an allocation module that allocates a predetermined percentage of lottery ticket sales from the plurality of first price category lottery tickets, the plurality of second price category lottery tickets, and the plurality of third price category lottery tickets to each prize distribution in each price category. Further, the system includes a random selection module that randomly selects a set of winning lottery numbers.

Abstract: A process provides a first price category and a second price category in which a scratch-off lottery ticket can be purchased for a scratch-off lottery game. In addition, the process randomly selects an extracted lot of scratch-off lottery tickets from the aggregate lot, the extracted lot having (i) an extracted lottery prize structure that has identical odds to the initial lottery prize structure without being limited to the predetermined number of maximum prizes in the maximum prize category and the predetermined number of secondary prizes in the secondary prize category, and (ii) an extracted lot size that is less than the aggregate lot size.

Abstract: A process provides a lottery game. The process indicates a first price category and a second price category from which a lottery player can purchase a lottery ticket. The second price is a maximum price. Further, the process indicates a first prize distribution that can be won with a lottery ticket purchased from the first price category that has a match of a predetermined quantity of numbers between a set of player numbers appearing on the lottery ticket purchased from the first price category and a randomly selected set of numbers. In addition, the process indicates a second prize distribution that can be won with a lottery ticket purchased from the second price category that has a match between the set of player numbers appearing on the lottery ticket purchased from the second price category and the randomly selected set of numbers.