GSC_seq: Simulation of Random Sierpinski-Carpets using variable...
In FractalParameterEstimation: Simulation and Parameter Estimation of Randomized Sierpinski Carpets using the p-p-p-q-Model
Description
Usage
Arguments
Value
Author(s)
References
Examples
Description
This function simulates random Sierpinski-Carpets using different probabilities per ramification for the computation of the Bernoulli random variables placed in the matrix.
Usage
1
Arguments
p
A numeric vector of same length as ramifications for the simulated Sierpinski-Carpet. The vector contains values between 0 and 1 indicating the probability of success (0 or 1) for the Bernoulli random variables of the matrix in each ramification step.
sierp
An optional logical parameter: if TRUE then the center of the matrix is automatically set to 0 as for the general Sierpinski-Carpet, else also a Bernoulli random variable is simulated.
Value
This function creates a matrix of size 3^N x 3^N containing simulated zeros and ones from Bernoulli distribution under given probability p. Here, N is the ramification which equals the length of the input vector p.
Author(s)
Philipp Hermann; Jozef Kiselak; Milan Stehlik\
philipp.hermann@jku.at; jozef.kiselak@upjs.sk; mlnstehlik@gmail.com
References
Hermann, P., Mrkvicka, T., Mattfeldt, T., Minarova, M., Helisova, K., Nicolis, O., Wartner, F., and Stehlik, M. (2015). Fractal and stochastic Geometry Inference for Breast Cancer: a Case Study with Random Fractal Models and Quermass-Interaction Process. Statistics in Medicine, 34(18), 2636-2661. doi: 10.1002/sim.6497.
Examples
1
2
3
Example output
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
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[3,] 0 0 0 0 0 0 0 0 0 0 0 0
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[5,] 0 0 0 0 0 0 0 0 0 0 0 0
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[10,] 0 0 0 0 0 0 0 0 0 0 0 0
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[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0 0 0 0 0
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[43,] 0 0 0 0 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
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[8,] 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0
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[24,] 0 0 0 0 0 0 0 0 0 0 0 0
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[31,] 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0
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[38,] 0 0 0 0 0 0 0 0 0 0 0 0
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[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
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[8,] 0 0 0 0 0 0 0 0 0 0 0 0
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[11,] 0 0 0 0 0 0 0 0 0 0 0 0
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[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0
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[50,] 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
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[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0
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[21,] 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0
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[41,] 0 0 0 0 0 0 0 0 0 0 0 0
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[44,] 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0
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[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0
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[,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
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[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0
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[29,] 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81]
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[10,] 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0
FractalParameterEstimation documentation built on July 10, 2019, 5:05 p.m.
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Description Usage Arguments Value Author(s) References Examples
Description
This function simulates random Sierpinski-Carpets using different probabilities per ramification for the computation of the Bernoulli random variables placed in the matrix.
Usage
1 |
Arguments
p |
A numeric vector of same length as ramifications for the simulated Sierpinski-Carpet. The vector contains values between 0 and 1 indicating the probability of success (0 or 1) for the Bernoulli random variables of the matrix in each ramification step. |
sierp |
An optional logical parameter: if |
Value
This function creates a matrix of size 3^N x 3^N containing simulated zeros and ones from Bernoulli distribution under given probability p. Here, N is the ramification which equals the length of the input vector p.
Author(s)
Philipp Hermann; Jozef Kiselak; Milan Stehlik\ philipp.hermann@jku.at; jozef.kiselak@upjs.sk; mlnstehlik@gmail.com
References
Hermann, P., Mrkvicka, T., Mattfeldt, T., Minarova, M., Helisova, K., Nicolis, O., Wartner, F., and Stehlik, M. (2015). Fractal and stochastic Geometry Inference for Breast Cancer: a Case Study with Random Fractal Models and Quermass-Interaction Process. Statistics in Medicine, 34(18), 2636-2661. doi: 10.1002/sim.6497.
Examples
1 2 3 |
Example output
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0 0
[,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
[1,] 0 0 0 0 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0 0 0 0 0
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[74,] 0 0 0 0 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0 0 0 0 0
[,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81]
[1,] 0 0 0 0 0 0 0 0
[2,] 0 0 0 0 0 0 0 0
[3,] 0 0 0 0 0 0 0 0
[4,] 0 0 0 0 0 0 0 0
[5,] 0 0 0 0 0 0 0 0
[6,] 0 0 0 0 0 0 0 0
[7,] 0 0 0 0 0 0 0 0
[8,] 0 0 0 0 0 0 0 0
[9,] 0 0 0 0 0 0 0 0
[10,] 0 0 0 0 0 0 0 0
[11,] 0 0 0 0 0 0 0 0
[12,] 0 0 0 0 0 0 0 0
[13,] 0 0 0 0 0 0 0 0
[14,] 0 0 0 0 0 0 0 0
[15,] 0 0 0 0 0 0 0 0
[16,] 0 0 0 0 0 0 0 0
[17,] 0 0 0 0 0 0 0 0
[18,] 0 0 0 0 0 0 0 0
[19,] 0 0 0 0 0 0 0 0
[20,] 0 0 0 0 0 0 0 0
[21,] 0 0 0 0 0 0 0 0
[22,] 0 0 0 0 0 0 0 0
[23,] 0 0 0 0 0 0 0 0
[24,] 0 0 0 0 0 0 0 0
[25,] 0 0 0 0 0 0 0 0
[26,] 0 0 0 0 0 0 0 0
[27,] 0 0 0 0 0 0 0 0
[28,] 0 0 0 0 0 0 0 0
[29,] 0 0 0 0 0 0 0 0
[30,] 0 0 0 0 0 0 0 0
[31,] 0 0 0 0 0 0 0 0
[32,] 0 0 0 0 0 0 0 0
[33,] 0 0 0 0 0 0 0 0
[34,] 0 0 0 0 0 0 0 0
[35,] 0 0 0 0 0 0 0 0
[36,] 0 0 0 0 0 0 0 0
[37,] 0 0 0 0 0 0 0 0
[38,] 0 0 0 0 0 0 0 0
[39,] 0 0 0 0 0 0 0 0
[40,] 0 0 0 0 0 0 0 0
[41,] 0 0 0 0 0 0 0 0
[42,] 0 0 0 0 0 0 0 0
[43,] 0 0 0 0 0 0 0 0
[44,] 0 0 0 0 0 0 0 0
[45,] 0 0 0 0 0 0 0 0
[46,] 0 0 0 0 0 0 0 0
[47,] 0 0 0 0 0 0 0 0
[48,] 0 0 0 0 0 0 0 0
[49,] 0 0 0 0 0 0 0 0
[50,] 0 0 0 0 0 0 0 0
[51,] 0 0 0 0 0 0 0 0
[52,] 0 0 0 0 0 0 0 0
[53,] 0 0 0 0 0 0 0 0
[54,] 0 0 0 0 0 0 0 0
[55,] 0 0 0 0 0 0 0 0
[56,] 0 0 0 0 0 0 0 0
[57,] 0 0 0 0 0 0 0 0
[58,] 0 0 0 0 0 0 0 0
[59,] 0 0 0 0 0 0 0 0
[60,] 0 0 0 0 0 0 0 0
[61,] 0 0 0 0 0 0 0 0
[62,] 0 0 0 0 0 0 0 0
[63,] 0 0 0 0 0 0 0 0
[64,] 0 0 0 0 0 0 0 0
[65,] 0 0 0 0 0 0 0 0
[66,] 0 0 0 0 0 0 0 0
[67,] 0 0 0 0 0 0 0 0
[68,] 0 0 0 0 0 0 0 0
[69,] 0 0 0 0 0 0 0 0
[70,] 0 0 0 0 0 0 0 0
[71,] 0 0 0 0 0 0 0 0
[72,] 0 0 0 0 0 0 0 0
[73,] 0 0 0 0 0 0 0 0
[74,] 0 0 0 0 0 0 0 0
[75,] 0 0 0 0 0 0 0 0
[76,] 0 0 0 0 0 0 0 0
[77,] 0 0 0 0 0 0 0 0
[78,] 0 0 0 0 0 0 0 0
[79,] 0 0 0 0 0 0 0 0
[80,] 0 0 0 0 0 0 0 0
[81,] 0 0 0 0 0 0 0 0
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