ответвлено от main/it-labs
431 строка
9.0 KiB
Markdown
431 строка
9.0 KiB
Markdown
# Отчет по теме 1
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Комаров Егор, А-03-24
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## 1 Изучение среды GNU Octave
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GUI GNU Octave запущен, произведено общее ознакомление с интерфейсом программы.
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## 2 Настройка текущего каталога
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Нажал на окно рядом с *Текущая папка:* и установил путь к папке ТЕМА1:
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help randn
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'randn' is a built-in function from the file libinterp/corefcn/rand.cc
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-- X = randn (N)
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-- X = randn (M, N, ...)
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-- X = randn ([M N ...])
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-- X = randn (..., "single")
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-- X = randn (..., "double")
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-- V = randn ("state")
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-- randn ("state", V)
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-- randn ("state", "reset")
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-- V = randn ("seed")
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-- randn ("seed", V)
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-- randn ("seed", "reset")
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Return a matrix with normally distributed random elements having
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zero mean and variance one.
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The arguments are handled the same as the arguments for ‘rand’.
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By default, ‘randn’ uses the Marsaglia and Tsang "Ziggurat
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technique" to transform from a uniform to a normal distribution.
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The class of the value returned can be controlled by a trailing
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"double" or "single" argument. These are the only valid classes.
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Reference: G. Marsaglia and W.W. Tsang, ‘Ziggurat Method for
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Generating Random Variables’, J. Statistical Software, vol 5, 2000,
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<https://www.jstatsoft.org/v05/i08/>
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See also: rand, rande, randg, randp.
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Additional help for built-in functions and operators is
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available in the online version of the manual. Use the command
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'doc <topic>' to search the manual index.
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Help and information about Octave is also available on the WWW
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at https://www.octave.org and https://octave.discourse.group/c/help/
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## 6 Создание матриц и векторов
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```matlab
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>> A=randn(4,6)
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A =
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-0.487249 1.500163 -0.058514 0.447870 -0.831425 0.230160
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0.042227 0.690096 -0.052365 1.305950 -0.379213 -0.269474
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0.654921 0.941014 0.093497 0.561096 0.212812 -0.410104
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-0.148194 -0.678435 -1.008628 1.425202 0.760093 -2.166047
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```
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NOMER 7
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>> D=reshape(C,[],6)
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D =
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4 8 12 16 20 24
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5 9 13 17 21 25
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6 10 14 18 22 26
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7 11 15 19 23 27
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>> E=B'*A
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E =
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0.488550 0.011549 1.000897 2.699564 -0.504726 1.819611
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-0.151361 0.254209 0.624697 1.512441 0.183915 0.725667
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0.072425 0.313477 1.110223 2.959277 0.309335 1.753866
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0.333663 0.135882 1.735861 4.354475 -0.273429 1.707147
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0.038203 0.340325 1.835803 4.116933 -1.331504 2.154751
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-0.258805 0.328323 0.793725 1.274550 -1.792678 1.396500
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-0.015348 0.371355 1.553848 3.350191 -1.666793 2.328455
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>> F=[A,B]
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F =
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Columns 1 through 8:
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1.148943 -0.660449 0.505361 2.144800 0.874353 -0.061676 0.831759 0.168296
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0.073393 -0.083308 1.300502 1.839412 -3.915271 0.771531 0.413143 0.094149
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-0.439376 0.422486 0.877189 2.021633 0.628780 0.429597 0.288750 0.547413
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-0.485810 0.620539 -0.275356 -0.561242 0.267499 1.872348 0.762738 0.228719
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Columns 9 through 13:
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0.632518 0.858376 0.634046 0.031583 0.540918
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0.232844 0.454478 0.678126 0.535694 0.709084
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0.770984 0.976534 0.934923 0.240303 0.664854
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0.684711 0.528709 0.677770 0.471018 0.816684
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>> G=A.*D
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G =
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4.5958 -5.2836 6.0643 34.3168 17.4871 -1.4802
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0.3670 -0.7498 16.9065 31.2700 -82.2207 19.2883
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-2.6363 4.2249 12.2806 36.3894 13.8332 11.1695
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-3.4007 6.8259 -4.1303 -10.6636 6.1525 50.5534
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M=G./4.5
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M =
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1.0213e+00 -1.1741e+00 1.3476e+00 7.6260e+00 3.8860e+00 -3.2894e-01
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8.1547e-02 -1.6662e-01 3.7570e+00 6.9489e+00 -1.8271e+01 4.2863e+00
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-5.8583e-01 9.3886e-01 2.7290e+00 8.0865e+00 3.0740e+00 2.4821e+00
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-7.5570e-01 1.5169e+00 -9.1785e-01 -2.3697e+00 1.3672e+00 1.1234e+01
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>> M=G./4.5
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M =
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1.0213e+00 -1.1741e+00 1.3476e+00 7.6260e+00 3.8860e+00 -3.2894e-01
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8.1547e-02 -1.6662e-01 3.7570e+00 6.9489e+00 -1.8271e+01 4.2863e+00
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-5.8583e-01 9.3886e-01 2.7290e+00 8.0865e+00 3.0740e+00 2.4821e+00
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-7.5570e-01 1.5169e+00 -9.1785e-01 -2.3697e+00 1.3672e+00 1.1234e+01
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>> DDD=D.^3
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DDD =
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64 512 1728 4096 8000 13824
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125 729 2197 4913 9261 15625
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216 1000 2744 5832 10648 17576
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343 1331 3375 6859 12167 19683
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>> DL=D>=20
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DL =
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0 0 0 0 1 1
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0 0 0 0 1 1
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0 0 0 0 1 1
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0 0 0 0 1 1
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>> Dstolb=D(:)
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Dstolb =
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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15
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16
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17
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18
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19
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20
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21
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22
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23
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25
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26
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27
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NOMER 8
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>> B1=sqrt(B)
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B1 =
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Columns 1 through 5:
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0.9120 0.4102 0.7953 0.9265 0.7963
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0.6428 0.3068 0.4825 0.6742 0.8235
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0.5374 0.7399 0.8781 0.9882 0.9669
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0.8733 0.4782 0.8275 0.7271 0.8233
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Columns 6 and 7:
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0.1777 0.7355
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0.7319 0.8421
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0.4902 0.8154
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0.6863 0.9037
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>> B2=log(B)
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B2 =
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Columns 1 through 4:
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-0.184212 -1.782031 -0.458047 -0.152714
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-0.883960 -2.362875 -1.457387 -0.788605
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-1.242194 -0.602552 -0.260088 -0.023746
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-0.270841 -1.475262 -0.378758 -0.637316
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Columns 5 through 7:
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-0.455633 -3.455126 -0.614488
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-0.388422 -0.624192 -0.343782
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-0.067292 -1.425857 -0.408188
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-0.388948 -0.752859 -0.202503
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>> B3=sin(B)
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B3 =
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Columns 1 through 4:
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0.739117 0.167503 0.591177 0.756782
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0.401490 0.094010 0.230746 0.438994
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0.284754 0.520480 0.696841 0.828562
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0.690903 0.226730 0.632450 0.504419
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Columns 5 through 7:
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0.592410 0.031578 0.514923
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0.627335 0.510438 0.651139
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0.804553 0.237996 0.616944
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0.627057 0.453794 0.728880
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---------------------------------------
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>> k=length(B1)
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k = 7
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>> nm=size(B1)
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nm =
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4 7
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>> elem=numel(B1)
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elem = 28
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>> NN=linspace(11.5,34.1,20)
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NN =
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Columns 1 through 8:
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11.500 12.689 13.879 15.068 16.258 17.447 18.637 19.826
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Columns 9 through 16:
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21.016 22.205 23.395 24.584 25.774 26.963 28.153 29.342
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Columns 17 through 20:
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30.532 31.721 32.911 34.100
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>> FF=ones(2,4)
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FF =
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1 1 1 1
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1 1 1 1
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>> GG=zeros(5)
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GG =
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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0 0 0 0 0
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>> B1D=diag(B1)
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B1D =
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0.9120
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0.3068
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0.8781
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0.7271
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>> DB=diag(B1D)
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DB =
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Diagonal Matrix
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0.9120 0 0 0
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0 0.3068 0 0
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0 0 0.8781 0
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0 0 0 0.7271
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>> BS1=sort(B)
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BS1 =
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0.288750 0.094149 0.232844 0.454478 0.634046 0.031583 0.540918
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0.413143 0.168296 0.632518 0.528709 0.677770 0.240303 0.664854
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0.762738 0.228719 0.684711 0.858376 0.678126 0.471018 0.709084
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0.831759 0.547413 0.770984 0.976534 0.934923 0.535694 0.816684
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>> BS2=sortrows(B,2)
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BS2 =
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0.413143 0.094149 0.232844 0.454478 0.678126 0.535694 0.709084
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0.831759 0.168296 0.632518 0.858376 0.634046 0.031583 0.540918
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0.762738 0.228719 0.684711 0.528709 0.677770 0.471018 0.816684
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0.288750 0.547413 0.770984 0.976534 0.934923 0.240303 0.664854
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>> DS1=sum(D)
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DS1 =
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22 38 54 70 86 102
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>> DS2=sum(D,2)
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DS2 =
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84
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90
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96
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102
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>> DP1=prod(D)
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DP1 =
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840 7920 32760 93024 212520 421200
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>> dt=det(A*A')
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dt = 1388.8
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>> dinv=inv(A*A')
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dinv =
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0.374568 0.025819 -0.305610 0.189828
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0.025819 0.053005 -0.044695 0.025517
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-0.305610 -0.044695 0.432459 -0.163317
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0.189828 0.025517 -0.163317 0.317169
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NOMER 9
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Dsum=0
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for i=1:6
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Dsum=Dsum+sqrt(D(2,i))
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endfor
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Dsum2=0;i=1
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while (D(i)<22)
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Dsum2=Dsum2+sin(D(i))
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i=i+1
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endwhile
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if (D(3,5)>=20)
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printf('D(3,5)>=20')
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else
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printf('D(3,5)<20')
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endif
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Dsum = 0
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Dsum = 2.2361
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Dsum = 5.2361
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Dsum = 8.8416
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Dsum = 12.965
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Dsum = 17.547
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Dsum = 22.547
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i = 1
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Dsum2 = -0.7568
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i = 2
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Dsum2 = -1.7157
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i = 3
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Dsum2 = -1.9951
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i = 4
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Dsum2 = -1.3382
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i = 5
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Dsum2 = -0.3488
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i = 6
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Dsum2 = 0.063321
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i = 7
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Dsum2 = -0.4807
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i = 8
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Dsum2 = -1.4807
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i = 9
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Dsum2 = -2.0173
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i = 10
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Dsum2 = -1.5971
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i = 11
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Dsum2 = -0.6065
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i = 12
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Dsum2 = 0.043799
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i = 13
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Dsum2 = -0.2441
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i = 14
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Dsum2 = -1.2055
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i = 15
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Dsum2 = -1.9565
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i = 16
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Dsum2 = -1.8066
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i = 17
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Dsum2 = -0.8937
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i = 18
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Dsum2 = -0.057011
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i = 19
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D(3,5)>=20
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NOMER10
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D1 = 22
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D2 =
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18 22 26
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D3 =
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13 17 21
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14 18 22
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D4 =
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19 20 21 22 23
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D5 =
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6 14 26
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7 15 27
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D1 = 22
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D2 =
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18 22 26
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D3 =
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13 17 21
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14 18 22
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D4 =
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19 20 21 22 23
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D5 =
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6 14 26
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7 15 27
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