⚠️️ΥΠΟ ΚΑΤΑΣΚΕΥΗ⚠️
Παρουσίαση αρχικών
δεδομένων
|
xx
|
|
3.902465
|
|
2.442483
|
|
4.219368
|
|
6.098509
|
|
3.421124
|
|
1.704301
|
|
4.711027
|
|
4.540467
|
|
5.377512
|
|
2.665348
|
|
3.879446
|
|
5.153388
|
|
3.150150
|
|
2.399453
|
|
4.345428
|
|
3.036390
|
|
2.583515
|
|
3.276816
|
|
3.931629
|
|
4.932631
|
|
4.716588
|
|
4.784442
|
|
4.469423
|
|
2.356842
|
|
4.688560
|
|
5.264632
|
|
2.919411
|
|
3.753125
|
|
2.241576
|
|
3.753151
|
|
3.327149
|
|
3.839694
|
|
4.238617
|
|
3.032866
|
|
3.762058
|
|
3.421161
|
|
4.725552
|
|
4.085694
|
|
4.530709
|
|
3.615862
|
|
3.734845
|
|
5.878351
|
|
4.606119
|
|
2.120695
|
|
3.548002
|
|
2.487220
|
|
2.099634
|
|
4.516609
|
|
5.563268
|
|
3.974674
|
|
3.211496
|
|
3.574755
|
|
2.929745
|
|
4.580844
|
|
4.869297
|
|
4.135613
|
|
4.013048
|
|
4.617068
|
|
2.607338
|
|
4.213741
|
|
3.519579
|
|
4.147830
|
|
4.106943
|
|
4.768191
|
|
2.686344
|
|
4.696017
|
|
2.867763
|
|
6.172755
|
|
5.556061
|
|
3.721354
|
|
5.724440
|
|
3.372234
|
|
4.966329
|
|
2.643200
|
|
3.548877
|
|
3.841704
|
|
3.463486
|
|
2.882222
|
|
4.449318
|
|
3.020074
|
|
3.501331
|
|
2.959847
|
|
3.768781
|
|
3.829300
|
|
5.461226
|
|
5.226921
|
|
3.689371
|
|
4.840394
|
|
4.794003
|
|
4.989567
|
|
5.043478
|
|
3.172547
|
|
3.778174
|
|
3.437531
|
|
3.887057
|
|
4.519640
|
|
3.171360
|
|
4.664876
|
|
5.164314
|
|
3.145481
|

dataPloth <- ggplot(myDatax, aes(x=xx))
dataPloth +
geom_histogram(aes(y = after_stat(density))) +
geom_density(linewidth = 1, alpha = 0.6, fill = "green")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Προσθέσεις - αφαιρέσεις
Προσθέσεις
|
x
|
xSYN3
|
|
3.902465
|
6.902465
|
|
2.442483
|
5.442483
|
|
4.219368
|
7.219368
|
|
6.098509
|
9.098509
|
|
3.421124
|
6.421124
|
|
1.704301
|
4.704301
|
|
4.711027
|
7.711027
|
|
4.540467
|
7.540467
|
|
5.377512
|
8.377512
|
|
2.665348
|
5.665348
|
|
3.879446
|
6.879446
|
|
5.153388
|
8.153388
|
|
3.150150
|
6.150150
|
|
2.399453
|
5.399453
|
|
4.345428
|
7.345428
|
|
3.036390
|
6.036390
|
|
2.583515
|
5.583515
|
|
3.276816
|
6.276816
|
|
3.931629
|
6.931629
|
|
4.932631
|
7.932631
|
|
4.716588
|
7.716588
|
|
4.784442
|
7.784442
|
|
4.469423
|
7.469423
|
|
2.356842
|
5.356842
|
|
4.688560
|
7.688560
|
|
5.264632
|
8.264632
|
|
2.919411
|
5.919411
|
|
3.753125
|
6.753125
|
|
2.241576
|
5.241576
|
|
3.753151
|
6.753151
|
|
3.327149
|
6.327149
|
|
3.839694
|
6.839694
|
|
4.238617
|
7.238617
|
|
3.032866
|
6.032866
|
|
3.762058
|
6.762058
|
|
3.421161
|
6.421161
|
|
4.725552
|
7.725552
|
|
4.085694
|
7.085694
|
|
4.530709
|
7.530709
|
|
3.615862
|
6.615862
|
|
3.734845
|
6.734845
|
|
5.878351
|
8.878351
|
|
4.606119
|
7.606119
|
|
2.120695
|
5.120695
|
|
3.548002
|
6.548002
|
|
2.487220
|
5.487221
|
|
2.099634
|
5.099634
|
|
4.516609
|
7.516609
|
|
5.563268
|
8.563268
|
|
3.974674
|
6.974673
|
|
3.211496
|
6.211496
|
|
3.574755
|
6.574755
|
|
2.929745
|
5.929745
|
|
4.580844
|
7.580844
|
|
4.869297
|
7.869297
|
|
4.135613
|
7.135613
|
|
4.013048
|
7.013048
|
|
4.617068
|
7.617068
|
|
2.607338
|
5.607338
|
|
4.213741
|
7.213741
|
|
3.519579
|
6.519579
|
|
4.147830
|
7.147830
|
|
4.106943
|
7.106943
|
|
4.768191
|
7.768191
|
|
2.686344
|
5.686344
|
|
4.696017
|
7.696017
|
|
2.867763
|
5.867763
|
|
6.172755
|
9.172755
|
|
5.556061
|
8.556061
|
|
3.721354
|
6.721354
|
|
5.724440
|
8.724440
|
|
3.372234
|
6.372235
|
|
4.966329
|
7.966329
|
|
2.643200
|
5.643200
|
|
3.548877
|
6.548877
|
|
3.841704
|
6.841704
|
|
3.463486
|
6.463486
|
|
2.882222
|
5.882222
|
|
4.449318
|
7.449318
|
|
3.020074
|
6.020074
|
|
3.501331
|
6.501331
|
|
2.959847
|
5.959847
|
|
3.768781
|
6.768781
|
|
3.829300
|
6.829300
|
|
5.461226
|
8.461226
|
|
5.226921
|
8.226921
|
|
3.689371
|
6.689371
|
|
4.840394
|
7.840394
|
|
4.794003
|
7.794003
|
|
4.989567
|
7.989567
|
|
5.043478
|
8.043478
|
|
3.172547
|
6.172547
|
|
3.778174
|
6.778174
|
|
3.437531
|
6.437531
|
|
3.887057
|
6.887057
|
|
4.519640
|
7.519640
|
|
3.171360
|
6.171360
|
|
4.664876
|
7.664876
|
|
5.164314
|
8.164314
|
|
3.145481
|
6.145481
|
Αφαιρέσεις
|
x
|
xPLIN1
|
|
3.902465
|
2.9024648
|
|
2.442483
|
1.4424835
|
|
4.219368
|
3.2193679
|
|
6.098509
|
5.0985089
|
|
3.421124
|
2.4211241
|
|
1.704301
|
0.7043008
|
|
4.711027
|
3.7110271
|
|
4.540467
|
3.5404673
|
|
5.377512
|
4.3775122
|
|
2.665348
|
1.6653481
|
|
3.879446
|
2.8794464
|
|
5.153388
|
4.1533881
|
|
3.150150
|
2.1501499
|
|
2.399453
|
1.3994532
|
|
4.345428
|
3.3454283
|
|
3.036390
|
2.0363904
|
|
2.583515
|
1.5835154
|
|
3.276816
|
2.2768163
|
|
3.931629
|
2.9316287
|
|
4.932631
|
3.9326305
|
|
4.716588
|
3.7165878
|
|
4.784442
|
3.7844423
|
|
4.469423
|
3.4694229
|
|
2.356842
|
1.3568425
|
|
4.688560
|
3.6885602
|
|
5.264632
|
4.2646323
|
|
2.919411
|
1.9194110
|
|
3.753125
|
2.7531249
|
|
2.241576
|
1.2415761
|
|
3.753151
|
2.7531509
|
|
3.327149
|
2.3271487
|
|
3.839694
|
2.8396941
|
|
4.238617
|
3.2386166
|
|
3.032866
|
2.0328665
|
|
3.762058
|
2.7620579
|
|
3.421161
|
2.4211612
|
|
4.725552
|
3.7255523
|
|
4.085694
|
3.0856936
|
|
4.530709
|
3.5307091
|
|
3.615862
|
2.6158624
|
|
3.734845
|
2.7348446
|
|
5.878351
|
4.8783511
|
|
4.606119
|
3.6061188
|
|
2.120695
|
1.1206949
|
|
3.548002
|
2.5480020
|
|
2.487220
|
1.4872205
|
|
2.099634
|
1.0996339
|
|
4.516609
|
3.5166090
|
|
5.563268
|
4.5632677
|
|
3.974674
|
2.9746735
|
|
3.211496
|
2.2114962
|
|
3.574755
|
2.5747547
|
|
2.929745
|
1.9297454
|
|
4.580844
|
3.5808441
|
|
4.869297
|
3.8692973
|
|
4.135613
|
3.1356126
|
|
4.013048
|
3.0130478
|
|
4.617068
|
3.6170675
|
|
2.607338
|
1.6073383
|
|
4.213741
|
3.2137411
|
|
3.519579
|
2.5195788
|
|
4.147830
|
3.1478302
|
|
4.106943
|
3.1069435
|
|
4.768191
|
3.7681908
|
|
2.686344
|
1.6863441
|
|
4.696017
|
3.6960167
|
|
2.867763
|
1.8677627
|
|
6.172755
|
5.1727551
|
|
5.556061
|
4.5560607
|
|
3.721354
|
2.7213540
|
|
5.724440
|
4.7244397
|
|
3.372234
|
2.3722345
|
|
4.966329
|
3.9663289
|
|
2.643200
|
1.6432003
|
|
3.548877
|
2.5488766
|
|
3.841704
|
2.8417036
|
|
3.463486
|
2.4634856
|
|
2.882222
|
1.8822216
|
|
4.449318
|
3.4493184
|
|
3.020074
|
2.0200743
|
|
3.501331
|
2.5013308
|
|
2.959847
|
1.9598469
|
|
3.768781
|
2.7687811
|
|
3.829300
|
2.8293002
|
|
5.461226
|
4.4612261
|
|
5.226921
|
4.2269210
|
|
3.689371
|
2.6893712
|
|
4.840394
|
3.8403937
|
|
4.794003
|
3.7940029
|
|
4.989567
|
3.9895668
|
|
5.043478
|
4.0434783
|
|
3.172547
|
2.1725467
|
|
3.778174
|
2.7781740
|
|
3.437531
|
2.4375309
|
|
3.887057
|
2.8870571
|
|
4.519640
|
3.5196396
|
|
3.171360
|
2.1713596
|
|
4.664876
|
3.6648758
|
|
5.164314
|
4.1643138
|
|
3.145481
|
2.1454814
|
Πολλαπλασιασμοί - διαιρέσεις
Πολλαπλασιασμός με
θετικό
|
x
|
xEPI2
|
|
3.902465
|
7.804930
|
|
2.442483
|
4.884967
|
|
4.219368
|
8.438736
|
|
6.098509
|
12.197018
|
|
3.421124
|
6.842248
|
|
1.704301
|
3.408602
|
|
4.711027
|
9.422054
|
|
4.540467
|
9.080935
|
|
5.377512
|
10.755024
|
|
2.665348
|
5.330696
|
|
3.879446
|
7.758893
|
|
5.153388
|
10.306776
|
|
3.150150
|
6.300300
|
|
2.399453
|
4.798906
|
|
4.345428
|
8.690857
|
|
3.036390
|
6.072781
|
|
2.583515
|
5.167031
|
|
3.276816
|
6.553632
|
|
3.931629
|
7.863257
|
|
4.932631
|
9.865261
|
|
4.716588
|
9.433176
|
|
4.784442
|
9.568884
|
|
4.469423
|
8.938846
|
|
2.356842
|
4.713685
|
|
4.688560
|
9.377120
|
|
5.264632
|
10.529265
|
|
2.919411
|
5.838822
|
|
3.753125
|
7.506250
|
|
2.241576
|
4.483152
|
|
3.753151
|
7.506302
|
|
3.327149
|
6.654298
|
|
3.839694
|
7.679388
|
|
4.238617
|
8.477233
|
|
3.032866
|
6.065733
|
|
3.762058
|
7.524116
|
|
3.421161
|
6.842322
|
|
4.725552
|
9.451105
|
|
4.085694
|
8.171387
|
|
4.530709
|
9.061418
|
|
3.615862
|
7.231725
|
|
3.734845
|
7.469689
|
|
5.878351
|
11.756702
|
|
4.606119
|
9.212238
|
|
2.120695
|
4.241390
|
|
3.548002
|
7.096004
|
|
2.487220
|
4.974441
|
|
2.099634
|
4.199268
|
|
4.516609
|
9.033218
|
|
5.563268
|
11.126535
|
|
3.974674
|
7.949347
|
|
3.211496
|
6.422992
|
|
3.574755
|
7.149509
|
|
2.929745
|
5.859491
|
|
4.580844
|
9.161688
|
|
4.869297
|
9.738595
|
|
4.135613
|
8.271225
|
|
4.013048
|
8.026096
|
|
4.617068
|
9.234135
|
|
2.607338
|
5.214677
|
|
4.213741
|
8.427482
|
|
3.519579
|
7.039158
|
|
4.147830
|
8.295660
|
|
4.106943
|
8.213887
|
|
4.768191
|
9.536381
|
|
2.686344
|
5.372688
|
|
4.696017
|
9.392033
|
|
2.867763
|
5.735525
|
|
6.172755
|
12.345510
|
|
5.556061
|
11.112122
|
|
3.721354
|
7.442708
|
|
5.724440
|
11.448880
|
|
3.372234
|
6.744469
|
|
4.966329
|
9.932658
|
|
2.643200
|
5.286401
|
|
3.548877
|
7.097753
|
|
3.841704
|
7.683407
|
|
3.463486
|
6.926971
|
|
2.882222
|
5.764443
|
|
4.449318
|
8.898637
|
|
3.020074
|
6.040149
|
|
3.501331
|
7.002662
|
|
2.959847
|
5.919694
|
|
3.768781
|
7.537562
|
|
3.829300
|
7.658600
|
|
5.461226
|
10.922452
|
|
5.226921
|
10.453842
|
|
3.689371
|
7.378743
|
|
4.840394
|
9.680787
|
|
4.794003
|
9.588006
|
|
4.989567
|
9.979133
|
|
5.043478
|
10.086956
|
|
3.172547
|
6.345093
|
|
3.778174
|
7.556348
|
|
3.437531
|
6.875062
|
|
3.887057
|
7.774114
|
|
4.519640
|
9.039279
|
|
3.171360
|
6.342719
|
|
4.664876
|
9.329752
|
|
5.164314
|
10.328627
|
|
3.145481
|
6.290963
|
Διαίρεση με
θετικό
|
x
|
xDIA3
|
|
3.902465
|
1.3008216
|
|
2.442483
|
0.8141612
|
|
4.219368
|
1.4064560
|
|
6.098509
|
2.0328363
|
|
3.421124
|
1.1403747
|
|
1.704301
|
0.5681003
|
|
4.711027
|
1.5703424
|
|
4.540467
|
1.5134891
|
|
5.377512
|
1.7925041
|
|
2.665348
|
0.8884494
|
|
3.879446
|
1.2931488
|
|
5.153388
|
1.7177960
|
|
3.150150
|
1.0500500
|
|
2.399453
|
0.7998177
|
|
4.345428
|
1.4484761
|
|
3.036390
|
1.0121301
|
|
2.583515
|
0.8611718
|
|
3.276816
|
1.0922721
|
|
3.931629
|
1.3105429
|
|
4.932631
|
1.6442102
|
|
4.716588
|
1.5721959
|
|
4.784442
|
1.5948141
|
|
4.469423
|
1.4898076
|
|
2.356842
|
0.7856142
|
|
4.688560
|
1.5628534
|
|
5.264632
|
1.7548774
|
|
2.919411
|
0.9731370
|
|
3.753125
|
1.2510416
|
|
2.241576
|
0.7471920
|
|
3.753151
|
1.2510503
|
|
3.327149
|
1.1090496
|
|
3.839694
|
1.2798980
|
|
4.238617
|
1.4128722
|
|
3.032866
|
1.0109555
|
|
3.762058
|
1.2540193
|
|
3.421161
|
1.1403871
|
|
4.725552
|
1.5751841
|
|
4.085694
|
1.3618979
|
|
4.530709
|
1.5102364
|
|
3.615862
|
1.2052875
|
|
3.734845
|
1.2449482
|
|
5.878351
|
1.9594504
|
|
4.606119
|
1.5353729
|
|
2.120695
|
0.7068983
|
|
3.548002
|
1.1826673
|
|
2.487220
|
0.8290735
|
|
2.099634
|
0.6998780
|
|
4.516609
|
1.5055363
|
|
5.563268
|
1.8544226
|
|
3.974674
|
1.3248912
|
|
3.211496
|
1.0704987
|
|
3.574755
|
1.1915849
|
|
2.929745
|
0.9765818
|
|
4.580844
|
1.5269480
|
|
4.869297
|
1.6230991
|
|
4.135613
|
1.3785375
|
|
4.013048
|
1.3376826
|
|
4.617068
|
1.5390225
|
|
2.607338
|
0.8691128
|
|
4.213741
|
1.4045804
|
|
3.519579
|
1.1731929
|
|
4.147830
|
1.3826101
|
|
4.106943
|
1.3689812
|
|
4.768191
|
1.5893969
|
|
2.686344
|
0.8954480
|
|
4.696017
|
1.5653389
|
|
2.867763
|
0.9559209
|
|
6.172755
|
2.0575850
|
|
5.556061
|
1.8520202
|
|
3.721354
|
1.2404513
|
|
5.724440
|
1.9081466
|
|
3.372234
|
1.1240782
|
|
4.966329
|
1.6554430
|
|
2.643200
|
0.8810668
|
|
3.548877
|
1.1829589
|
|
3.841704
|
1.2805679
|
|
3.463486
|
1.1544952
|
|
2.882222
|
0.9607405
|
|
4.449318
|
1.4831061
|
|
3.020074
|
1.0066914
|
|
3.501331
|
1.1671103
|
|
2.959847
|
0.9866156
|
|
3.768781
|
1.2562604
|
|
3.829300
|
1.2764334
|
|
5.461226
|
1.8204087
|
|
5.226921
|
1.7423070
|
|
3.689371
|
1.2297904
|
|
4.840394
|
1.6134646
|
|
4.794003
|
1.5980010
|
|
4.989567
|
1.6631889
|
|
5.043478
|
1.6811594
|
|
3.172547
|
1.0575156
|
|
3.778174
|
1.2593913
|
|
3.437531
|
1.1458436
|
|
3.887057
|
1.2956857
|
|
4.519640
|
1.5065465
|
|
3.171360
|
1.0571199
|
|
4.664876
|
1.5549586
|
|
5.164314
|
1.7214379
|
|
3.145481
|
1.0484938
|
Πολλαπλασιασμός με
αρνητικό
|
x
|
xEPIplin2
|
|
3.902465
|
-7.804930
|
|
2.442483
|
-4.884967
|
|
4.219368
|
-8.438736
|
|
6.098509
|
-12.197018
|
|
3.421124
|
-6.842248
|
|
1.704301
|
-3.408602
|
|
4.711027
|
-9.422054
|
|
4.540467
|
-9.080935
|
|
5.377512
|
-10.755024
|
|
2.665348
|
-5.330696
|
|
3.879446
|
-7.758893
|
|
5.153388
|
-10.306776
|
|
3.150150
|
-6.300300
|
|
2.399453
|
-4.798906
|
|
4.345428
|
-8.690857
|
|
3.036390
|
-6.072781
|
|
2.583515
|
-5.167031
|
|
3.276816
|
-6.553632
|
|
3.931629
|
-7.863257
|
|
4.932631
|
-9.865261
|
|
4.716588
|
-9.433176
|
|
4.784442
|
-9.568884
|
|
4.469423
|
-8.938846
|
|
2.356842
|
-4.713685
|
|
4.688560
|
-9.377120
|
|
5.264632
|
-10.529265
|
|
2.919411
|
-5.838822
|
|
3.753125
|
-7.506250
|
|
2.241576
|
-4.483152
|
|
3.753151
|
-7.506302
|
|
3.327149
|
-6.654298
|
|
3.839694
|
-7.679388
|
|
4.238617
|
-8.477233
|
|
3.032866
|
-6.065733
|
|
3.762058
|
-7.524116
|
|
3.421161
|
-6.842322
|
|
4.725552
|
-9.451105
|
|
4.085694
|
-8.171387
|
|
4.530709
|
-9.061418
|
|
3.615862
|
-7.231725
|
|
3.734845
|
-7.469689
|
|
5.878351
|
-11.756702
|
|
4.606119
|
-9.212238
|
|
2.120695
|
-4.241390
|
|
3.548002
|
-7.096004
|
|
2.487220
|
-4.974441
|
|
2.099634
|
-4.199268
|
|
4.516609
|
-9.033218
|
|
5.563268
|
-11.126535
|
|
3.974674
|
-7.949347
|
|
3.211496
|
-6.422992
|
|
3.574755
|
-7.149509
|
|
2.929745
|
-5.859491
|
|
4.580844
|
-9.161688
|
|
4.869297
|
-9.738595
|
|
4.135613
|
-8.271225
|
|
4.013048
|
-8.026096
|
|
4.617068
|
-9.234135
|
|
2.607338
|
-5.214677
|
|
4.213741
|
-8.427482
|
|
3.519579
|
-7.039158
|
|
4.147830
|
-8.295660
|
|
4.106943
|
-8.213887
|
|
4.768191
|
-9.536381
|
|
2.686344
|
-5.372688
|
|
4.696017
|
-9.392033
|
|
2.867763
|
-5.735525
|
|
6.172755
|
-12.345510
|
|
5.556061
|
-11.112122
|
|
3.721354
|
-7.442708
|
|
5.724440
|
-11.448880
|
|
3.372234
|
-6.744469
|
|
4.966329
|
-9.932658
|
|
2.643200
|
-5.286401
|
|
3.548877
|
-7.097753
|
|
3.841704
|
-7.683407
|
|
3.463486
|
-6.926971
|
|
2.882222
|
-5.764443
|
|
4.449318
|
-8.898637
|
|
3.020074
|
-6.040149
|
|
3.501331
|
-7.002662
|
|
2.959847
|
-5.919694
|
|
3.768781
|
-7.537562
|
|
3.829300
|
-7.658600
|
|
5.461226
|
-10.922452
|
|
5.226921
|
-10.453842
|
|
3.689371
|
-7.378743
|
|
4.840394
|
-9.680787
|
|
4.794003
|
-9.588006
|
|
4.989567
|
-9.979133
|
|
5.043478
|
-10.086956
|
|
3.172547
|
-6.345093
|
|
3.778174
|
-7.556348
|
|
3.437531
|
-6.875062
|
|
3.887057
|
-7.774114
|
|
4.519640
|
-9.039279
|
|
3.171360
|
-6.342719
|
|
4.664876
|
-9.329752
|
|
5.164314
|
-10.328627
|
|
3.145481
|
-6.290963
|