# The method of definition of casual gaming indicator (options)

(57) Abstract:

The invention relates to the field of games, as well as to methods of education of random numbers predominantly for dice games. The inventive generate one random signal from N2 different groups equiprobable discrete integer, including zero, random signals, satisfies the relation, which takes into account the integer random signal in the group of signals, and the number of different values of random signals in the group of signals. On the basis of the received sets of random signals determine the value's index by summing the values of the generated random signals. This invention allows to extend the set of values of a discrete distribution upper bounds of the range of possible values of a random slot index while reducing the interval between the above values, which expands the use of this method. 2 C. p. F.-ly, 17 ill. The invention relates to games and more particularly to a method of formation of random numbers, mainly for dice games.From prior art it is known that were taken the barb.So, there is a method of determining random games index (US, N 4678190, A 63 F 9/04, 1987), including the formation of six different groups of six basic uniform random signals in each group, generate one random signal from each group of the underlying uniform random signals, each of which represents a combination of two or three integers and random play indicator from 6 to 36, or from 6 to 49 is determined on the basis of the received sets of random base signals.The disadvantages of this method are: a narrow range of values of a random slot index, a large number of groups of the underlying uniform random signals, and also the complex structure of each of the underlying uniform random signal. Due to this known method has limited use.There is also known a method of determining random games index (US, N 4743025, A 63 F 9/04, 1988), taken as a prototype and including the formation of several identical groups of six basic uniform random signals in each group, generate one random signal from each group basic uniform lucypiller on the basis of the received sets of random base signals.The main disadvantage of this method of determining random slot indicator is that the upper value of the range of possible values of a random slot indicator can only be changed with great frequency equal to six (36, 216, 1296, and so on), which significantly limits the scope of use of the known method. In addition, the very definition of casual gaming indicator based on the received sets of random base signal is a time-consuming operation, since it requires the use of special tables, and special encoding of signals corresponding to different groups of base signals.The present invention is directed to the solution of the technical problem by extending the set of values of a discrete distribution upper bounds of the range of possible values of a random slot index while reducing the interval between the above values. Achievable technical result is to expand the use of the proposed method.The task, according to the first variant, decided that the way to determine a random slot indicator, coz integer random signals, and on the basis of the received sets of random signals determine the random play indicator according to the invention, generate one random signal of N 2 different groups equiprobable discrete integer, including zero, random signals, satisfies the relation< / BR>

where C

_{n}

^{j}- the j-th integer random signal in the n-th group signals (n = 1,2,...,N);

P

_{i}2 - the number of different values of random signals in the i-th group signals (i = 1,2,...,n-1);

k

_{n}

^{j}the coefficient takes values 0,1,2,...,(P

_{n}- 1), respectively, with j = 1,2,3,...,(P

_{n};

< / BR>

m - any predetermined number from 1 to N;

and random play indicator having a value of from 1 to determine by summing the values of N generated random signals.Discrete function

_{mn}was first introduced by P. Dirac (see P. Dirac, Principles of quantum mechanics, translated from the 4th English edition, M., Nauka, 1979, S. 89).According to the second variant, the problem is solved by the fact that in the method of determining random's index, according to which generate one random signal from each of a finite group equiprobable discrete zany's index, according to the invention, generate one random signal of N 2 different groups equiprobable discrete integer, including zero, random signals, satisfies the relation

< / BR>

where C

_{n}

^{j}- the j-th integer random signal in the n-th group signals (n = 1,2,...,N);

P

_{i}2 - the number of different values of random signals in the i-th group signals (i = 1,2,...,n-1);

k

_{n}

^{j}the coefficient takes values 0,1,2,...,(P

_{n}- 1), respectively, with j = 1,2,3,...,(P

_{n};

< / BR>

and random play indicator having a value of from 1 to

determined by summing the values of N generated random signals.The advantage of the proposed method lies in the fact that the implementation of a range of new conditions for the exercise of well-known operations of generating random signals, namely:

- the presence of N 2 different groups equiprobable discrete integer random signal (base signal),

in each group, at least two or two subgroups equiprobable discrete integer, including zero, signals having different values (P

_{i}2),

- the presence of vzaimoobraznogo correspondence between the number of sootvetstvujushej group (dependency [1] or [2]),

is expanding the set of values of a discrete distribution upper bounds of the range of possible values of a random slot index, defined now by the expression [2

^{}

^{}3

^{}

^{}4

^{}

^{}5

^{}

^{}6

^{}

^{}...] for the first variant of the method or expression [(2

^{}

^{}3

^{}

^{}4

^{}

^{}5

^{}

^{}6

^{}

^{}...)-1] - for the second option, while,,,,, ... is any integer including zero, satisfying the condition+++++...= N. furthermore, there is no need for additional coding of the signals, corresponding to one and the same group. Thus, the least upper value of the range of possible values of a random slot indicator is not 36, as in the prototype, and 4 ( = 2 = N), any limited no. In addition, significantly narrows the interval between adjacent spaced upper values of the range of possible values of a random slot indicator. Indeed, for representing the course of practical interest is the case P

_{i}= 2, 3, and 6 many upper values of the range of possible values of random's index includes all the set of integers, except for the pre. The second variant of the proposed method demonstrates this feature.This ensures the achievement of the technical result consists in expanding the field of use (indoor games, gambling, mass entertainment) method of determining random games index.Further, the invention is illustrated by drawings and descriptions to them.In Fig. 1 shows a block diagram of an apparatus for implementing the method of Fig. 2, 3, 4 and 5 - scan in the plane of the respectively first, second, third and fourth hexagonal dice for values of a random game score ranging from 1 to 36; Fig. 6 and 7 scan in the plane, respectively, the first and second four-sided dice for values of a random game score ranging from 1 to 36; Fig. 8, 9 and 10 - scan in the plane, respectively, the first and second hexagonal and third - tetrahedral dice for values of a random game score ranging from 1 to 36; Fig. 11 and 12 scan in the plane, respectively, the first and second hexagonal dice for values of a random game score ranging from 1 to 36, Fig 13 and 14 scan in the plane sootvetstvenno Fig. 15, 16 and 17 - scan in the plane of the respectively first, second and third hexagonal dice for random values of a slot index from 0 to 215.The device for carrying out the method comprises an N-input adder 1, N blocks 2

^{1}- 2

^{N}memory, N multiplexers 3

^{1}- 3

^{N}N generators 4

^{1}- 4

^{N}uniformly distributed random binary numbers, block 5 start and the indicator 6. Blocks 2

^{1}- 2

^{N}memory have corresponding inputs 7

^{1}- 7

^{N}and outputs of each block 2

^{1}- 2

^{N}memory connected to the information input of the corresponding multiplexer 3

^{1}- 3

^{N}. The outputs of each generator 4

^{1}- 4

^{N}connected to the address inputs of the corresponding multiplexer 3

^{1}- 3

^{N}the outputs are connected to respective inputs of an N-input adder 1. The output of the N-input of the adder 1 is connected to the input of the indicator 7, and the output unit 5 launch connected with control inputs of the generators 4

^{1}- 4

^{N}uniformly distributed random binary number.In addition, in the drawings, denoted by scan 8-23 dice with four or six sides.The proposed method is inago's indicators determine the number of groups equiprobable discrete integer signals. For this purpose, set such values of the exponents in the expression [2

^{}

^{}3

^{}

^{}4

^{}

^{}5

^{}

^{}6

^{}

^{}...] (3), if the lower limit of the above range is equal to the unit where the expression in square brackets equals the upper bound of the range of variation of random's index. For example, for the upper bound, equal to 1296, the expression in square brackets can be represented in the following form: [2 of 3

^{3}4 6]. In other words, = 1, = 3, = 1, = 0, = 1, and the rest of the exponents equal to zero. The sum of the exponents (+++) there are a number of different groups (N=6 equiprobable discrete integer random signals, and 2, 3, 4, and 6 - number of non-repeating signals, respectively, in the first (second, third and fourth - since = 3), and in the fifth and sixth groups. Further in accordance with a ratio of (1) the computation of the values of the uniform discrete integer random signals (groups of base signals). After this input 7

^{1}in block 2

^{1}memory the values of the integral signals of the first group. Input 7

^{2}in block 2

^{2}memory the values of the integral signals of the second group. And so on. Once this command is UP> uniformly distributed random numbers. At the end of a control pulse at the outputs of the generators 4

^{1}- 4

^{N}receive a signal corresponding to the generated random numbers. These signals from the outputs of the generators 4

^{1}- 4

^{N}served on the address inputs of the respective multiplexers 3

^{1}- 3

^{N}. At the output of each multiplexer 3

^{1}- 3

^{N}a signal will appear with information input, the number of which corresponds to the binary number (code) at its address inputs. Because information on the inputs of each multiplexer 3

^{1}- 3

^{N}enjoyed the signals recorded in the cells of the corresponding block 2

^{1}- 2

^{N}memory, then outputs N-Vodolaga adder 1 will be filed with the signals generated randomly from each group of the underlying signals. Thus, at the output of the adder 1, a signal will appear, the value of which will correspond to the random play indicator.Education next's index is done by submitting a re-start command in block 5 of the run.If the lower boundary of the range of values of a random slot indicator is equal to zero, instead of the expression (3) uses the expression [(2

^{}

^{}th.In addition to the above resources to implement the proposed method can be used, at least two (since N 2) dice, for example, the most frequently used - hex. In this case, the digital information labels put on the verge of the same dice form the group equiprobable discrete integer random signals (base), and dropped in the throwing of bones (using any number of known devices, for example, described in patents GB-1-2145638, GB-A-2195089) digital information labels form the set of N generated random signals, which determine (by summing the values of the generated signals) is a random game of the index.Depending on the range of possible values of a random game indicators determine the required number of dice (different groups equiprobable discrete integer random signals), and the values of the above signals in accordance with expressions (1) or (2).Example 1. For the upper value of the range of possible values of a random game score of 36, the following three variantes four bones ( = 2, = 2, + = N = 4); in the second case, three bones ( = 2, = 1, + = N = 4) , and in the third - two bones ( = 2 = N).

Let the lower value of the range of possible values of a random slot indicator equal to one. In this case, an integer random signals in each group is determined from the relation (1). For m = 1 is for the first case:

n = 1; C

_{1}

^{1}= 1; C

_{1}

^{2}= 2;

n = 2; C

_{2}

^{1}= 0; C

_{2}

^{2}= 2;

n = 3; C

_{3}

^{1}= 0; C

_{3}

^{2}= 4; C

_{3}

^{3}= 8;

n = 4; C

_{4}

^{1}= 0; C

_{4}

^{2}= 12; C

_{4}

^{3}= 24.In the case of hexagonal bones total number of equiprobable random signals in each group of signals equal to the number of faces of the dice, in other words, six. To ensure equal probabilities for the two different signals, the group of six equiprobable random signals should contain two sub-groups of signals, the first group contains three identical signal C

_{1}

^{1}or C

_{2}

^{1}and the second group is also three of the same signal, respectively, C

_{1}

^{2}or C

_{2}

^{12}(Fig. 2 and 3). Similarly, to ensure equal probabilities for three different signals (n = 3, 4) a group of six Revnova, 12, 12, 24, 24 for n = 4), as shown respectively in Fig. 4 and 5. Instead of hex bones for n = 1 and n = 2 can be used and tetrahedral dice (tetrahedra). In this case, each sub-group will contain two of the same signal (Fig. 6 and 7).In the second case, for m = 2 have the following three groups equiprobable random signals:

n = 1; C

_{1}

^{1}= 0; C

_{1}

^{2}= 1; C

_{1}

^{3}= 2;

n = 2; C

_{2}

^{1}= 1; C

_{2}

^{2}= 4; C

_{2}

^{3}= 7;

n = 3; C

_{3}

^{1}= 0; C

_{3}

^{2}= 9; C

_{3}

^{3}= 18; C

_{3}

^{4}= 27.In this case, to generate random signals of the first and second groups (n = 1, 2) signals are used hex dice (Fig. 8 and 9), and signals from the third group - tetrahedral dice (Fig. 10).In the third case, for m = 1 have the following two groups equiprobable random signals:

n = 1; C

_{1}

^{1}= 1; C

_{1}

^{2}= 3; C

_{1}

^{3}= 3; C

_{1}

^{4}= 4; C

_{1}

^{5}= 5; C

_{1}

^{6}= 6;

n = 2; C

_{2}

^{1}= 0; C

_{2}

^{2}= 6; C

_{2}

^{3}= 12; C

_{2}

^{4}= 18; C

_{2}

^{5}= 24; C

_{2}

^{6}= 30;

for the generation which uses two of sasthra obraznym, since the use of only four hex bones provides the upper range value changes the value of a random game score 1296, which is quite enough in most cases. In Fig. 11 - 14 shows the scan in the plane of the four hex bones for a range of variation of a random game score ranging from 1 to 1296.Example 2. When the lower value of the range of possible values of random's index is zero, an integer random signals in each group is determined from the relation (2). One of the possible options for the implementation of a range of variation of a random slot index from 0 to 215 is a set of three groups equiprobable random signals ( = 3 = N):

n = 1; C

_{1}

^{1}= 0; C

_{1}

^{2}= 1; C

_{1}

^{3}= 2; C

_{1}

^{4}= 3; C

_{1}

^{5}= 4; C

_{1}

^{6}= 5;

n = 2; C

_{2}

^{1}= 0; C

_{2}

^{2}= 6; C

_{2}

^{3}= 12; C

_{2}

^{4}= 18; C

_{2}

^{5}= 24; C

_{2}

^{6}= 30;

n = 3; C

_{3}

^{1}= 0; C

_{3}

^{2}= 36; C

_{3}

^{3}= 72; C

_{3}

^{4}= 108; C

_{3}

^{5}= 144; C

_{3}

^{6}= 180.Since each group contains six equiprobable case, which is three hex dice (Fig. 15 - 17).The proposed method can be used to hold a room of games, including gambling, and various forms of mass entertainment, in particular the Express lotteries, or in specially equipped with stationary or mobile buildings, or outdoors, for example in the amusement parks. 1. The method of definition of casual gaming indicator, according to which generate one random signal from each of a finite group equiprobable discrete integer random signals and on the basis of the received sets of random signals determine the random play indicator, wherein generating one random signal of N 2 different groups equiprobable discrete integer, including zero, random signals, satisfies the relation

< / BR>

where C

^{j}

_{n}- the j-th integer random signal in the n-th group signals (n = 1, 2, ..., N);

P

_{i}2 - the number of different values of random signals in the i-th group signals (i = 1, 2, ..., n-1);

K

^{j}

_{i}the coefficient takes values 0, 1, 2, ..., (P

_{n}- 1), respectively, when j = 1, 2, 3, ..., P

_{n};

< / BR>

m - any predetermined number from 1 to N,

and random ivcanih signals.2. The method of definition of casual gaming indicator, according to which generate one random signal from each of a finite group equiprobable discrete integer random signals and on the basis of the received sets of random signals determine the random play indicator, wherein generating one random signal of N 2 different groups equiprobable discrete integer, including zero, random signals, satisfies the relation

< / BR>

where C

^{j}

_{n}- the j-th integer random signal in the n-th group signals (n = 1, 2, ..., N);

P

_{i}2 - the number of different values of random signals in the i-th group signals (i = 1, 2, ..., n-1);

K

^{j}

_{n}the coefficient takes values 0, 1, 2, ..., (P

_{n}- 1), respectively, when j = 1, 2, 3, ..., P

_{n};

< / BR>

and random play indicator having a value of from 0 to

determined by summing the values of N generated random signals.

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