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Berikut ini pemetaan (mapping) formasi angka Nol (0) kedalam piramida data dari diagram berupa konsep, detil bagan dan modul² yang dipakai sebagai dasar pemrograman.
Angka nol (0) adalah satu²nya angka yang berada dibawah angka dasar yang tidak dipetakan sebagai salah satu dari 114 repository. Pada sistem rotasi dia ada di angka 10 dan 50.
Korelasi angka 10 ke 50 ada pada perkalian sepuluh (10) dengan angka lima (5) sedangkan di pola 5 ke 6 maka angka nol (0) berkorelasi dengan angka prima ke satu (1) yaitu dua (2).
Karena itu apa yang tertuang di halaman ini merupakan start-up dari sistem sehingga merupakan bagian tak terpisahkan dengan formasi 114 polar 72 vs 42 pada repository angka enam (6).
- (6x(6+6))/(6+(6x6)) = 72/42 = 36/21 = 12/7 = 1,7142857
Polarisasi ini terjadi dua (2) kali pola angka enam (6) ke duabelas (12) sehingga konversi 10 ke 50 bersilang ke angka 71 di 9 dan 11. Detilnya bisa diikuti dari karakter angka duapuluh enam (26).
Pola hexagon ini memunculkan polarisasi 114 terhadap angka sembilan belas (19) yang terpusat di angka 43 dan 71 dan berlaku sebagai basis. Detilnya bisa diikuti di angka tigapuluh enam (36).
- ∑1(1,30,40) = 114 - 43 = 71
Pada halaman nol (0) ini kita akan bedah lebih dahulu skema in-out dari angka 19 ke 43 terhadap vektor tujuhpuluh satu (71). Detil output nya akan dibahas pada halaman terpisah.
Sebelum masuk ke detail, berikut ini daftar keistimewaan angka 0 menurut wikipedia:
- 0 adalah bilangan bulat segera sebelum 1 . Nol adalah bilangan genap karena dapat habis dibagi 2 tanpa sisa. 0 tidak positif maupun negatif.
- Banyak definisi termasuk 0 sebagai bilangan asli, dan kemudian satu-satunya bilangan alami yang tidak menjadi positif.
- Nol adalah angka yang menghitung jumlah atau jumlah ukuran nol . Dalam sebagian besar budaya , 0 diidentifikasi sebelum ide hal-hal negatif, atau jumlah kurang dari nol, diterima.
- Nilai, atau angka, nol tidak sama dengan digit nol, digunakan dalam sistem angka menggunakan notasi posisi.
- Posisi digit yang berurutan memiliki bobot yang lebih tinggi, jadi di dalam angka, digit nol digunakan untuk melewati posisi dan memberikan bobot yang sesuai untuk digit sebelumnya dan berikutnya.
- Angka nol tidak selalu diperlukan dalam sistem angka posisi, misalnya, dalam angka 02. Dalam beberapa kasus, nol depan dapat digunakan untuk membedakan angka.
- Angka 0 adalah bilangan bulat non-negatif terkecil. Bilangan alami yang mengikuti 0 adalah 1 dan tidak ada bilangan alami yang mendahului 0. Bilangan 0 mungkin atau mungkin tidak dianggap sebagai bilangan alami , tetapi bilangan bulat, dan karenanya bilangan rasional dan bilangan real (serta bilangan aljabar dan a bilangan kompleks ).
- Angka 0 tidak positif atau negatif dan biasanya ditampilkan sebagai angka pusat dalam garis angka . Ini bukan bilangan prima atau bilangan komposit . Tidak boleh prima karena memiliki jumlah faktor yang tak terbatas , dan tidak bisa komposit karena tidak dapat dinyatakan sebagai produk bilangan prima (0 harus selalu menjadi salah satu faktor). [58] Nol adalah, bagaimanapun, bahkan (yaitu kelipatan 2, serta kelipatan bilangan bulat, rasional, atau bilangan real lainnya).
- Berikut ini adalah beberapa aturan dasar (dasar) untuk berurusan dengan angka 0. Aturan ini berlaku untuk bilangan real atau kompleks x , kecuali dinyatakan lain.
- Tambahan: x + 0 = 0 + x = x . Artinya, 0 adalah elemen identitas (atau elemen netral) sehubungan dengan penambahan.
- Pengurangan: x - 0 = x dan 0 - x = - x .
- Perkalian: x · 0 = 0 · x = 0.
- Divisi: 0/x = 0, untuk bukan nol x . Tetapi x/0 tidak terdefinisi , karena 0 tidak memiliki inversi multiplikatif (no real number dikalikan dengan 0 menghasilkan 1), konsekuensi dari aturan sebelumnya.
- Eksponensial: x 0 = x/x = 1, kecuali bahwa case x = 0 dapat dibiarkan tidak terdefinisi dalam beberapa konteks . Untuk semua x nyata positif , 0 x = 0 .
- Ekspresi 0/0, yang dapat diperoleh dalam upaya untuk menentukan batas dari sebuah ekspresi dari bentuk f ( x )/g ( x ) sebagai hasil dari penerapan lim Operator independen untuk kedua operan dari fraksi, adalah disebut " bentuk tak tentu ". Itu tidak hanya berarti bahwa batas yang dicari tidak perlu ditentukan; tetapi, itu berarti bahwa batas f ( x )/g ( x ), jika ada, harus ditemukan dengan metode lain, seperti aturan l'Hôpital .
- Jumlah 0 angka ( jumlah kosong ) adalah 0, dan produk 0 angka ( produk kosong ) adalah 1. Faktorial 0! mengevaluasi ke 1, sebagai kasus khusus dari produk kosong.
- Dalam teori himpunan , 0 adalah kardinalitas dari himpunan kosong : jika seseorang tidak memiliki apel apapun, maka salah satu memiliki 0 apel. Bahkan, dalam perkembangan aksiomatik tertentu matematika dari teori himpunan, 0 didefinisikan sebagai himpunan kosong. Ketika ini selesai, set kosong adalah tugas kardinal von Neumann untuk set tanpa elemen, yang merupakan set kosong. Fungsi kardinalitas, diterapkan pada set kosong, mengembalikan set kosong sebagai nilai, sehingga menetapkan 0 elemen.
- Juga dalam teori himpunan, 0 adalah bilangan ordinal terendah , sesuai dengan himpunan kosong yang dipandang sebagai himpunan yang tertata dengan baik .
- Dalam logika proposisional , 0 dapat digunakan untuk menunjukkan nilai kebenaran salah.
- Dalam aljabar abstrak , 0 biasanya digunakan untuk menunjukkan elemen nol , yang merupakan elemen netral untuk penambahan (jika didefinisikan pada struktur yang dipertimbangkan) dan elemen penyerap untuk perkalian (jika didefinisikan).
- Dalam kisi-kisi teori , 0 dapat menyatakan elemen bawah dari kisi dibatasi .
- Dalam teori kategori , 0 terkadang digunakan untuk menunjukkan objek awal suatu kategori .
- Dalam teori rekursi , 0 dapat digunakan untuk menunjukkan derajat Turing dari fungsi komputasi parsial.
- Istilah matematika terkait sebuah nol dari fungsi f adalah titik x dalam domain fungsi sehingga f ( x ) = 0 . Ketika ada banyak nol, ini disebut akar fungsi. Hal ini terkait dengan nol dari fungsi holomorphic .
- Fungsi (atau nol peta) pada domain D adalah fungsi konstan dengan 0 sebagai yang hanya mungkin nilai output, yaitu, fungsi f didefinisikan oleh f ( x ) = 0 untuk semua x di D
- Fungsi nol adalah satu-satunya fungsi yang genap dan ganjil . Fungsi nol tertentu adalah morfisme nol dalam teori kategori; misalnya, peta nol adalah identitas dalam kelompok fungsi aditif. The penentu non-dibalik matriks persegi adalah peta nol.
- Beberapa cabang matematika memiliki nol elemen , yang menggeneralisasi properti 0 + x = x , atau properti 0 · x = 0, atau keduanya.
- Nilai nol memainkan peran khusus untuk banyak kuantitas fisik. Untuk beberapa jumlah, level nol secara alami dibedakan dari semua level.
- Simak untuk keistimewaan² lainnya.
Anda bisa lihat bahwa vektor yang dibawa oleh angka dua (2) diteruskan dengan arah yang sama oleh angka tiga (3). Perubahan baru terjadi di angka lima (5) sesuai True Prime Pairs.
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+------
| {1} | {5}
1 +-----+
| 2 | 7
-----+-----+--- } 36
| 3 | 11
2 +-----+
| 4 | 13
-----+-----+------
| 5 | 17
3 +-----+ } 36
| 6 | 19
-----+-----+------
Dengan demikian angka lima (5) di skema ini sesungguhnya terkandung angka 2 dan 3 yang memiliki polaritas yang sama yaitu di angka tujuhpuluh satu (71) tadi.
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+------
| {1} | {2,3}
1 +-----+
| 2 | 7
-----+-----+--- } 36
| 3 | 11
2 +-----+
| 4 | 13
-----+-----+------
| 5 | 17
3 +-----+ } 36
| {6} | {19}
-----+-----+------
Yang khusus darinya adalah bahwasanya struktur tiap unit DNA di tubuh kita ini dibangun dari kedua angka ini. Mereka membentuk format 2 vs 3 ikatan hidrogen.
Seperti Anda lihat pada gambar pasangan unit DNA ini terbentuk bersilangan yaitu 6 ke 9 dan 9 ke 6 dimana perbandingan angka nya sesuai ikatan hidrogen yaitu 2 vs 3.
Berikut peran angka 71 pada formasi 114 angka yang ditabulasi berdasarkan The Hexagon Chart. Anda bisa simak detilnya di halaman Pratinjau. Perhatikan silang 2 dan 3 di angka 23.
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| 1st | 2nd | 3rd |∑(2,3)
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 7 |{19} | 38 | 62 | 63 |{64} | 93 | 94 | 95 | 139 |
i + 1 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ 5¨
| | 8 | 20 | 39 | 65 |{66} | 68 | 96 | 97 | 98 | |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 9 | 21 | 40 |{43} | 67 | 69 | 99 | 100 | 101 | 286 |
+ 2 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ 7¨
| |{10} | 22 |{41} | 44 | 45 | 70 | 102 | 103 | 104 | |
q +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 11 |{23} | 42 | 46 | 47 |{71} | 105 | 106 | 107 | 114 |
+ 3 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ 11¨
| |{12} | 24 |{25} | 48 | 49 | 72 | 108 | 109 | 110 | |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 13 | 26 | 27 |{50} | 51 | 73 | 74 | 111 | 112 | 247 |
+ 4 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ 13¨
| | 14 | 28 | 29 | 52 |{53} | 75 | 76 | 113 |{114}| |
r +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 15 | 30 | 31 | 54 | 55 |{77} | 78 | 79 | 80 | 157 |
+ 5 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ {17¨}
| | 16 | 32 | 33 | 56 | 57 | 81 |{82} | 83 | 84 | |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
| | 17 | 34 | 35 | 58 | 59 | 85 | 86 |{87} | 88 | 786 |
o + 6 +-----+-----+-----+-----+-----+-----+-----+-----+-----+------ 19¨
| | 18 | 36 | 37 | 60 | 61 | 89 | 90 | 91 |{92} | |
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+------ ---
∑ | 21 | 150 | | | | | | | | | 1729
|--------------------------------------------------- 16¨ ---|
|--------------------------------------- 15¨ ---|
|--------------------------- 14¨ ---|
|--------------- 13¨ ---|
|-- {12¨} --|
Polaritas silang angka 23 ini terbangun dari dua (2) angka 6 dan 9 jadi jumlahnya limabelas (15). Pada unit DNA ada sepasang maka saya compile di angka tigapuluh (30).
- ∑2 = ∑1(1,30,40) = 71
Jadi angka 2 dan 3 itu walaupun mereka pada awalnya mempunyai arah vektor yang sama namun dalam implikasinya ternyata akhirnya mereka membentuk formasi yang bersilangan.
Berikutnya kita bahas bagaimana hal ini bisa terjadi.
- 20 + 30 + 40 = 90
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+------
| 1 | 2,3
1 +-----+
| {2} | {7}
-----+-----+--- } 36
| 3 | 11
2 +-----+
| 4 | 13
-----+-----+------
| 5 | 17
3 +-----+ } 36
| {6} | {19}
-----+-----+------
Permutation:
2 + 7 = 3 + 6 = 9
3 & 6 = 36 = 2² x 3² = 6 x 6
Divisors of 36 = 1,2,3,4,6,9,12,18
- ∑3(1,30,40,90) = Δ prime / 6 + 61 = 600/6 + 61 = 161
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{1} |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - |{114}
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{7} | 25 | - | - |{43}| - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{11} | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{13} | - | - | - | 49 | - |{61}| 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | {2}| 3 | 4 | {5}| 6 | {7}| 8 | {9}| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |{19}|
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-----+------
| 1 | ..
1 +-----+
| 2 | (7)
-----+-----+------
| 3 | ..
2 +-----+
| 4 | (13)
-----+-----+------
| 5 | ..
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
7 x 13 x 19 = 91 x 19
6 & 19 = 619 = 114th prime
Twin Primes:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+------
| 1 | (5) -------
1 +-----+ |
| 2 | (7) |
-----+-----+------ |
| 3 | (11) ‹--3x--
2 +-----+ |
| 4 | (13) |
-----+-----+------ |
| 5 | (17) ‹--2x--
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
66 = 6 & 6
6 + 6 = 12
5 + 7 = 12 = d(3)
11 + 13 = 24 = d(6)
17 + 19 = 6 x 6 = d(9)
6 + 6 » d(3,6,9) » 6 x 6
layer| i | f
-----+-----+------
| 1 | 2x3 -------
1 +-----+ |
| 2 | (7) |
-----+-----+------ |
| 3 | .. ‹--3x--
2 +-----+ |
| 4 | (13) |
-----+-----+------ |
| 5 | .. ‹--2x--
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
4 & 13 = 413 = d(8)
Divisors of 413 = 1,7,59
i(3,4,5) = hexagonal form (6x)
Berikutnya kita lihat peta composite & prime.
Entah kebetulan atau tidak, ada korelasi dengan angka dua (2) dan sepuluh (10):
2 and 10 act as "doubler" alternating between the doubling of prime next to them and across (Red: illustrated by an hexagon covering number 2).
layer| i | f
-----+-----+------
| 1 | (2,3)
1 +-----+
| 2 | (7)
-----+-----+------
| 3 | ({10},a,b)
2 +-----+
| 4 | (13)
-----+-----+------
| 5 | (c,d)
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
i(3,4,5) » hexagonal
f(10,a,b,13,c,d) = 6x
- 165 + 66 = 231
layer| i | f
-----+-----+------
| 1 | (2,3)
1 +-----+
| 2 | (7)
-----+-----+------
| 3 | (10,11,12)
2 +-----+
| 4 | (13)
-----+-----+------
| 5 | (14,15)
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
(3 + 4) + 5 = 7 + 5 = 12
(10 + 11 + 12 + 13) + (14 + 15) = 46 + 29 = 75 = d(12)
- ∑4(1,30,200) = 2 x Δ prime / 6 + 31 = 200 + 31 = 31
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{1} |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - |{114}
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{7} | 25 | - | - |{43}| - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{11} | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | {2}| 3 | 4 | {5}| 6 | 7 | 8 | {9}| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |{19}|
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
- 5 x 40 = 200
- ∑5 = ∑4(1,30,200) = 231
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
1 +-------+
| 3:2 | (7)
-----+-------+------
|{4,6}:3| (10,11,12)
2 +-------+
| 7:4 | (13)
-----+-------+------
| 8,9:5 | (14,15)
3 +-------+
| 10:6 | (19)
-----+-------+------
- ∑6 = ∑5 = ∑4(1,30,200) = 231
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
1 +-------+
| 3:2 | (7)
-----+-------+------
| 4,6:3 | (10,11,12)
2 +-------+
|{7}:4 |({13})
-----+-------+------
| 8,9:5 | (14,15)
3 +-------+
| 10:6 | (19)
-----+-------+------
- ∑7(1,30,40,200) = 2 x Δ prime / 6 + 71 = 200 + 71 = 271
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{1} |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - |{114}
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{7} | 25 | - | - |{43}| - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{11} | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | {2}| 3 | 4 | {5}| 6 | 7 | 8 | {9}| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |{19}|
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
- ∑8 = ∑6(1,30,200) = 231
- ∑9 = ∑8(1,30,200) = 231
- 114 - 19 = 95
- ∑10(20,5,10,70,90) = Δ prime / 6 + 95 = 100 + 95 = 195
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 |{95}| - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
+-------+
| 3:2 | (7)
+-------+------
| 4,6:3 | (10,11,12)
1 +-------+
| 7:4 | (13)
+-------+------
| 8,9:5 | (14,15)
+-------+
| 10:6 | (19)
-----+-------+------
| 7 | 1x
+-------+
2 | 8 |
+-------+
| 13:9 | 1x
-----+-------+------
| 10 |
+-------+
3 | 11 |
+-------+
| 19:12 | 1x
-----+-------+------
Permutation:
each index of 7,13,19 has only one faktor
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
+-------+
| 3:2 | (7)
+-------+------
| 4,6:3 | (10,11,12) ---
1 +-------+ |
| 7:4 | (13) | 5x √
+-------+------ |
| 8,9:5 | (14,15) ------
+-------+
| 10:6 | (19)
-----+-------+------
|{11}:7 | ({20})
+-------+
2 | 12:8 |
+-------+
| 13:9 | 1x
-----+-------+------
| 10 |
+-------+
3 | 11 |
+-------+
| 19:12 | 1x
-----+-------+------
- ∑11(9,5) = 0 x Δ prime / 6 + 14 = 0 + 14 = 14
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 |{20}| 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{14}| - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-----+------
| 1 | 2x3 -------
1 +-----+ |
| 2 | (7) |
-----+-----+------ |
| 3 | .. ‹--3x--
2 +-----+ |
| 4 | (13) |
-----+-----+------ |
| 5 | .. ‹--2x--
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
+-------+ } 2x3 √
| 3:2 | (7)
+-------+------
| 4,6:3 | (10,11,12) ---
1 +-------+ |
| 7:4 | (13) | 5x
+-------+------ |
| 8,9:5 | (14,15) ------
+-------+
| 10:6 | (19)
-----+-------+------
| 11:7 | (20)
+-------+
2 | 12:8 |
+-------+
| 13:9 | 1x
-----+-------+------
| 10 |
+-------+
3 | 11 |
+-------+
| 19:12 | 1x
-----+-------+------
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) --------› 6x √
+-------+
| 3:2 | (7) ----------› 7x √
+-------+------
| 4,6:3 | (10,11,12) ---
1 +-------+ |
| 7:4 | (13) | 5x
+-------+------ |
| 8,9:5 | (14,15) ------
+-------+
| 10:6 | (19)
-----+-------+------
| 11:7 | (20)
+-------+
2 | 12:8 |
+-------+
| 13:9 | 1x
-----+-------+------
| 10 |
+-------+
3 | 11 |
+-------+
| 19:12 | 1x
-----+-------+------
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) --------› 6x
+-------+
| 3:2 | (7) ------------7x------
+-------+------ |
| 4,6:3 | (10,11,12) --- |
1 +-------+ | |
| 7:4 | (13) | 5x -----
+-------+------ | |
| 8,9:5 | (14,15) ------ |
+-------+
| 10:6 | (19) |
-----+-------+------
| 11:7 | (20) |
+-------+
2 | 12:8 | -------------- |
+-------+ | |
| 13:9 | 1x | 2x √ ‹--
-----+-------+------ |
| 14:10 | --------------
+-------+
3 | 11 |
+-------+
| 19:12 | 1x
-----+-------+------
Permutation:
5x + 2x = 7x
5^2 + 2^5 = 57
- ∑12(9,60,40) = (10th prime) prime = 29th prime = 109
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 |{26}| - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - |{109}| - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) ----------2x--
+-------+ |
| 3:2 | (7) |
+-------+------ |
| 4,6:3 | (10,11,12) --- |
1 +-------+ | |
| 7:4 | (13) | 5x |
+-------+------ | |
| 8,9:5 | (14,15) ------ |
+-------+ |
| 10:6 | (19) |
-----+-------+------ | 6x √
| 11:7 | (20) |
+-------+ |
2 | 12:8 | -------------- |
+-------+ | |
| 13:9 | 1x | 2x |
-----+-------+------ | |
| 14:10 | -------------- |
+-------+ |
3 | 11 | ----------------4x---
+-------+
| 19:12 | 1x
-----+-------+------
Permutation:
2x + 4x = 6x
- ∑13(9,60)= 69
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 |{27}| - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 |{69}| - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | {3}| 4 | 5 | 6 | 7 | {8}| 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) --------------
+-------+ |
| 3:2 | (7) |
+-------+------ |
| 4,6:3 | (10,11,12) --- |
1 +-------+ | |
| 7:4 | (13) | 5x |
+-------+------ | |
| 8,9:5 | (14,15) ------ |
+-------+ |
| 10:6 | (19) |
-----+-------+------ | 6x
| 11:7 | (20) |
+-------+ |
2 | 12:8 | -------------- |
+-------+ | |
| 13:9 | 1x | 2x |
-----+-------+------ | |
| 14:10 | (28) √ ------- |
+-------+ |
3 | 11 | ---------------------
+-------+
| 19:12 | 1x
-----+-------+------
Permutation:
28 » d(10) = terminating digits
- ∑14 = ∑12(9,60,40) = 109
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 |{28}| - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - |{109}| - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | {3}| 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | {17}| 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) --------------
+-------+ |
| {3:2}| (7) |
+-------+------ |
| 4,6:3 | (10,11,12) --- |
1 +-------+ | |
| 7:4 | (13) | 5x |
+-------+------ | |
| 8,9:5 | (14,15) ------ |
+-------+ |
| 10:6 | (19) |
-----+-------+------ | 6x
| 11:7 | (20) |
+-------+ |
2 | 12:8 | (26) --------- |
+-------+ | |
| 13:9 | (27) | 2x |
-----+-------+------ | |
| 14:10 | (28) --------- |
+-------+ |
3 | 11 | (29,30,31,{32}) √ --
+-------+
| 19:12 | 1x
-----+-------+------
- ∑15 = ∑2(1,30,40) = 71
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - |{31}| 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 |{29}| - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - |{70}| - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - |{32}| 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - |{30}|{36}| - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
- ∑16 = ∑15(1,30,40) = 71
- ∑17 = ∑16 = ∑15(1,30,40) = 71
- 96 = 25 x 3 = 32 x 3
Posisi tigapuluh enam (36) merupakan Peta Projek (Project Map) secara keseluruhan.
layer| i | f
-----+-------+------
| 1,2:1 | (2,3) --------------
+-------+ |
| 3:2 | (7) |
+-------+------ |
|4,{6:3}|(10,11,{12}) -- |
1 +-------+ | |
| 7:4 | (13) | 5x |
+-------+------ | |
| 8,9:5 | (14,15) ------ |
+-------+ |
| 10:6 | (19) |
-----+-------+------ | 6x
| 11:7 | (20) |
+-------+ |
2 | 12:8 | (26) --------- |
+-------+ | |
| 13:9 | (27) | 2x |
-----+-------+------ | |
| 14:10 | (28) -------- |
+-------+ |
3 | 11 | (29,30,31,32) ------
+-------+
| 19:12 |({36}) √
-----+-------+------
Permutation:
36 = 2² x 3² = 6 x 6
- ∑19(60,10) = 70
layer| i | f
-----+-----+------
| 1 | 2x3 -------
1 +-----+ |
| 2 | (7) |
-----+-----+------ |
| 3 | .. ‹--3x--
2 +-----+ |
| 4 | (13) |
-----+-----+------ |
| 5 | .. ‹--2x--
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
619 = 114th prime
layer| i | f
-----+-----+------
| 1 | (2,3)
1 +-----+
| 2 | (7)
-----+-----+------
| 3 | (10,11,12)
2 +-----+
| 4 | (13)
-----+-----+------
| 5 | (14,15)
3 +-----+
| 6 | (19)
-----+-----+------
Permutation:
(3 + 4) + 5 = 7 + 5 = 12
(10 + 11 + 12 + 13) + (14 + 15) = 46 + 29 = 75 = d(12)
- 6x + 6x = d(12)
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) --------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| {4,6}:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5x |
+----------+------ | |
| 8,9:5 | (14,15) ------ |
+----------+ |
| 10:6 | (19) |
-----+----------+------ | 6x
| 11:7 | (20) |
+----------+ |
| 12:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2x |
2 +----------+------ | |
| 14:10 | (28) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36)
-----+----------+------
| 20:13 | (38) √
+----------+
| 21,22:14 | (a,b) --------------
+----------+ |
| 23:15 | 1x √ | 6x √
3 +----------+ |
| 24,27:16 | (c,d,e,{46}) -------
+----------+
| 28:17 | 1x √
+----------+
| 29:18 | 1x √
-----+----------+------
Permutation:
5x + 2x = 7x
7x + 6x = 13x
13x + 6x = 19x
- 206 - 71 = 135
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) --------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| 4,6:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5x |
+----------+------ | |
| 8,9:5 | (14,15) ------ |
+----------+ |
| 10:6 | (19) |
-----+----------+------ | 6x
| 11:7 | (20) |
+----------+ |
| 12:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2x |
2 +----------+------ | |
| 14:10 | (28) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36)
-----+----------+------
| {20}:13 | ({38})
+----------+
| 21,22:14 | (40,41) ------------
+----------+ |
| 23:15 | (42) | 6x
3 +----------+ |
| 24,27:16 | (43,44,45,46) ------
+----------+
| 28:17 | 1x
+----------+
| 29:18 | 1x
-----+----------+------
- ∑20(90) = 90
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) --------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| 4,6:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5x |
+----------+------ | |
| 8,9:5 | (14,15) ------ |
+----------+ |
| 10:6 | (19) |
-----+----------+------ | 6x
| 11:7 | (20) |
+----------+ |
| {12}:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2x |
2 +----------+------ | |
| {14}:10 | (28) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36)
-----+----------+------
| 20:13 | (38)
+----------+
|{21},22:14| (40,{41}) ----------
+----------+ |
| 23:15 | (42) | 6x
3 +----------+ |
| 24,27:16 | (43,44,45,46) ------
+----------+
| 28:17 | 1x
+----------+
| 29:18 | 1x
-----+----------+------
- ∑21(40,8) = 48
- ∑22 = ∑21(40,8) = 48
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{1} |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - |{114}
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{7} | 25 | - | - |{43}| - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{11} | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | {2}| 3 | 4 | {5}| 6 | 7 | 8 | {9}| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |{19}|
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
Namun jika Anda ikuti uraian tentang mapping Anda bisa lihat susunannya bisa diuraikan dari dalam bentuk skema pemetaan dari 29 repository yang kita sudah terapkan angka².
- ∑23(8,40,70,60,100) = 2 x (Δ prime / 6) + 78 = 200 + 78 = 278
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{1} |{19}| - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - |{114}
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
{7} | 25 | - | - |{43}| - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{11} | - | - | - | 47 | 53 | 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | {2}| 3 | 4 | {5}| 6 | 7 | 8 | {9}| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |{19}|
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
- ∑24 = ∑22(40,8) = 48
- ∑25 = ∑24(40,8) = 48
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) --------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| 4,6:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5x |
+----------+------ | |
| 8,9:5 |({14},15) ------ |
+----------+ |
| 10:6 | (19) |
-----+----------+------ | 6x
| 11:7 | (20) |
+----------+ |
| 12:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2x |
2 +----------+------ | |
| {14}:10 |({28}) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36)
-----+----------+------
| 20:13 | (38)
+----------+
| 21,22:14 | (40,41) ------------
+----------+ |
| 23:15 | (42) | 6x
3 +----------+ |
| 24,27:16 | (43,44,45,46) ------
+----------+
| {28}:17 | 1x
+----------+
| 29:18 | 1x
-----+----------+------
Permutation:
114 - 46 = 68
d(29) + 66 = 2 + 66 = 68
Sisanya tepat adalah 100 yang akan berkolelasi dengan angka 2 dan 10 via angka limapuluh (50) dengan Skema 3 dan 4 dari angka satu (1) tadi.
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) -------------- -------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| 4,6:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5® | 5' and 3' = 8'
+----------+------ | |
| 8,9:{5}| (14,15) ------ |
+----------+ |
| {10}:6| (19) |
-----+----------+------ | 6® ------------- } 2 x 8' = 28Δ
| 11:7 | (20) |
+----------+ |
| 12:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2® | 3' and 5' = 8'
2 +----------+------ | |
| 14:10 | (28) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36) 28Δ
-----+----------+---------------- | ------ <-------
| 20:13 | (38) = 3 & 8 = 2 & 8' + 1 & 8'
+----------+ |
| 21,22:14 | (40,41) ------------ |
+----------+ | |
| 23:15 | (42) | 6® 8'= 3' and 5'
3 +----------+ |
| 24,27:16 | (43,44,45,46) ------
+----------+
| 28:17 | ({50}) √
+----------+
| 29:18 | 1x
-----+----------+------ <-------
Permutation:
36 = 2² x 3² = 6 x 6
- ∑28(100) = Δ prime / 6 = 100
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |{100} - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - |{73}| 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 |{50}| - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
- 168 + 618 = 786
- ∑29(50) = 50
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+----------+------
| 1,2:1 | (2,3) -------------- -------------
+----------+ |
| 3:2 | (7) |
+----------+------ |
| 4,6:3 | (10,11,12) --- |
1 +----------+ | |
| 7:4 | (13) | 5® | 5' and 3' = 8'
+----------+------ | |
| {8},9:{5}| (14,15) ------ |
+----------+ |
| {10}:{6}| (19) |
-----+----------+------ | 6® ------------- } 2 x 8' = 28Δ
| 11:7 | (20) |
+----------+ |
| 12:8 | (26) --------- |
+----------+ | |
| 13:9 | (27) | 2® | 3' and 5' = 8'
2 +----------+------ | |
| 14:10 | (28) -------- |
+----------+ |
| 15,18:11 | (29,30,31,32) ------
+----------+
| 19:12 | (36) 28Δ
-----+----------+---------------- | ------ <-------
| 20:13 | (38) = 3 & 8 = 2 & 8' + 1 & 8'
+----------+ |
| 21,22:14 | (40,41) ------------ |
+----------+ | |
| 23:15 | (42) | 6® 8'= 3' and 5'
3 +----------+ |
| 24,27:16 | (43,44,45,46) ------
+----------+
| 28:{17}| {2x50} (50) √
+----------+
| {29}:18 | {50} (68) √
{168}+----------+------ <-------
Permutation:
36 = 2² x 3² = 6 x 6
Perhatikan bahwa angka tujuh (7), tigabelas (13), dan sembilanbelas (19) ketiganya mempunyai karakter yang berdiri sendiri.
- 2® = 6® + 6® = 168 + (289+329) = 168 + 618
Maka berdasarkan selisih angka 25 ke 29 kita ambil susunan dari 25 repository dengan empat (4) sisanya yaitu 26 ke 29 dimana kita akan dapatkan susunan vektor (6,12,18) dari True Prime Pairs.
- 53 + 71 + 68 = 53 + 139 = 192 = d(2)
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{6} | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
11 | - | - | - | 47 |{53}| 59 | - |{71}| - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{12} | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108 | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
14 | - | - | 32 | 50 | - | 62 |{68}| - | - | 86 | - | - | - | - | - | 110 | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111 | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106 | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107 | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+-----+-----+----+----+
{18} | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | - | - | - | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+=====+=====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
|--------------------------------------------------------- 19¨ -----------------------------|
|--------------------------------------- 13¨ ---------------|
|------------- 7¨ ------------|
|-------- 5¨ -------|
|--- 2¨ --|
Pada kelompok pertama karakter ini ada di faktor nya {167 (7), 271 (13), 195 (19)} sedangkan pada kelompok kedua ada di index nya {11:7, 13:9. 19:12}.
Karakter ini tidak nampak pada kelompok ketiga, namun dia akan muncul jika kita ambil replikasi dari index dan faktor selain dari ketiga angka tersebut yaitu urutan{5®, 2®, 6® dan 6®}:
5® + 2® = 7®
7® + 6® = 13®
13® + 6® = 19®
- 71 + 68 = 139
True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+---------
| 1 | 5
1 +-----+
| 2 | {7}
-----+-----+--- } 36
| 3 | 11
{2} +-----+
| 4 | {13}
-----+-----+---------
| 5 | 17
3 +-----+ } 36
| 6 | {19}
-----+-----+---------
Scheme 13:9
===========
(1){1}-7: 7’
(1){8}-13: 6‘
(1)14-{19}: 6‘
------------- 6+6 -------
(2)20-24: 5’ |
(2)25-{29}: 5’ |
------------ 5+5 -------
(3)30-36: 7:{70,30,10²}|
------------ |
(4)37-48: 12• --- |
(5)49-59: 11° | |
--}30° 30• |
(6)60-78: 19° | |
(7)79-96: 18• --- |
-------------- |
(8)97-109: 13 |
(9)110-139:{30}=5x6 <--x-- (129/17-139/27)
--
{43}
Skema 2 dan 3 ini akan berlanjut ke repository dari angka 2 sd 114 kecuali di angka sembilan (9) jadi semua ada 112 repository dimana yang 12 adalah repository dari Skema 12.
- 102 - 100 = 2
Proses yang diinisiasi oleh angka prima ke-5 yaitu 11 ke angka prima ke-16 yaitu 53 dilakukan hingga muncul korelasi natural pada angka 192 sebagai jumlah dari 53 dan 139.
- 192 = 139 + 53
- d(17) = d(53) = 8
Susunan vektor 25 dan 66 ini mengantar 2 ke 5 kemudian enam (6) membawa mereka dua (2) kali ke (11,13) dan (17,19) sehingga komposisi (70,30,100) berujung di 71 dan 68 ke Skema-139.
- ζ(s) = 50/100 + ix = 1/2 (non trivial zero)
True Prime Vektors ζ(s):
(2,3), (29,89), (36,68), (72,42), (100,50), (2,3), (29,89), ...infinity
----------------------+-----+-----+-----+ ---
7 --------- 1,2:1| 1 | 30 | 40 | 71 (2,3) ‹-------------@---- |
| +-----+-----+-----+-----+ | |
| 8 ‹------ 3:2| 1 | 30 | 40 | 90 | 161 (7) ‹--- | 5¨
| | +-----+-----+-----+-----+ | | |
| | 6 ‹-- 4,6:3| 1 | 30 | 200 | 231 (10,11,12) ‹--|--- | |
| | | +-----+-----+-----+-----+ | | | ---
--|--|-----» 7:4| 1 | 30 | 40 | 200 | 271 (13) --› | {5®} | |
| | +-----+-----+-----+-----+ | | |
--|---› 8,9:5| 1 | 30 | 200 | 231 (14,15) ---------› | 7¨
289 | +-----+-----+-----+-----+-----+ | |
| ----› 10:6| 20 | 5 | 10 | 70 | 90 | 195 (19) --› Φ | {6®} |
--------------------+-----+-----+-----+-----+-----+ | ---
67 --------› 11:7| 9 | 5 | 14 (20) --------› ¤ | |
| +-----+-----+-----+ | |
| 78 ‹----- 12:8| 9 | 60 | 40 | 109 (26) «------------ | 11¨
| | +-----+-----+-----+ | | |
| | 86‹--- 13:9| 9 | 60 | 69 (27) «--- Δ (Rep Fork) | {2®} | |
| | | +-----+-----+-----+ | | ---
| | ---› 14:10| 9 | 60 | 40 | 109 (28) ------------- | |
| | +-----+-----+-----+ | |
| ---› 15,18:11| 1 | 30 | 40 | 71 (29,30,31,32) ---------- 13¨
329 | +-----+-----+-----+ |
| ‹--------- 19:12| 10 | 60 | {70} (36) ‹--------------------- Φ |
-------------------+-----+-----+ ---
786 ‹------- 20:13| 90 | 90 (38) ‹-------------- ¤ |
| +-----+-----+ |
| 618 ‹- 21,22:14| 8 | 40 | 48 (40,41) ‹---------------------- 17¨
| | +-----+-----+-----+-----+-----+ | |
| | 594 ‹- 23:15| 8 | 40 | 70 | 60 | 100 | 278 (42) «-- |{6'®} |
| | | +-----+-----+-----+-----+-----+ | | ---
--|--|-»24,27:16| 8 | 40 | 48 (43,44,45,46) ------------|---- |
| | +-----+-----+ | |
--|---› 28:17| 100 | {100} (50) ------------------------» 19¨
168 | +-----+ |
| 102 -› 29:18| 50 | 50(68) ---------> Δ |
----------------------+-----+ ---
Disini Anda bisa lihat jika angka enam (6) hanya mengalah sekali di awal yaitu pada sesi 2 ke 5 ke tujuh (7). Selanjutnya dia mendominasi sampai 100 ke 50 balik ke awal dengan bobot 139.
- 139 + 68 = 207
Pada halaman angka nol (0) dari repository angka satu (1) ini kita sudah bahas skema 2 dan 3 dan selanjutnya kita akan bahas skema 3 dan 4 di halaman satu (1).
Sekian.
22-12-1441
SALAM Sukses!
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