OpenLLM-France/wikimedia huggingface dataset:
# Boolf prop/3-ary/nameless 1

Number of blocks: 16 Integer partition: 16⋅16
| # | nameless 1 | block |
| 16 | 0 | [0, 26, 40, 50, 72, 82, 96, 122, 128, 154, 168, 178, 200, 210, 224, 250] |
| 16 | 6 | [1, 27, 41, 51, 73, 83, 97, 123, 129, 155, 169, 179, 201, 211, 225, 251] |
| 16 | 2 | [2, 24, 42, 48, 74, 80, 98, 120, 130, 152, 170, 176, 202, 208, 226, 248] |
| 16 | 4 | [3, 25, 43, 49, 75, 81, 99, 121, 131, 153, 171, 177, 203, 209, 227, 249] |
| 16 | 7 | [4, 30, 44, 54, 76, 86, 100, 126, 132, 158, 172, 182, 204, 214, 228, 254] |
| 16 | 1 | [5, 31, 45, 55, 77, 87, 101, 127, 133, 159, 173, 183, 205, 215, 229, 255] |
| 16 | 5 | [6, 28, 46, 52, 78, 84, 102, 124, 134, 156, 174, 180, 206, 212, 230, 252] |
| 16 | 3 | [7, 29, 47, 53, 79, 85, 103, 125, 135, 157, 175, 181, 207, 213, 231, 253] |
| 16 | 15 | [8, 18, 32, 58, 64, 90, 104, 114, 136, 146, 160, 186, 192, 218, 232, 242] |
| 16 | 9 | [9, 19, 33, 59, 65, 91, 105, 115, 137, 147, 161, 187, 193, 219, 233, 243] |
| 16 | 13 | [10, 16, 34, 56, 66, 88, 106, 112, 138, 144, 162, 184, 194, 216, 234, 240] |
| 16 | 11 | [11, 17, 35, 57, 67, 89, 107, 113, 139, 145, 163, 185, 195, 217, 235, 241] |
| 16 | 8 | [12, 22, 36, 62, 68, 94, 108, 118, 140, 150, 164, 190, 196, 222, 236, 246] |
| 16 | 14 | [13, 23, 37, 63, 69, 95, 109, 119, 141, 151, 165, 191, 197, 223, 237, 247] |
| 16 | 10 | [14, 20, 38, 60, 70, 92, 110, 116, 142, 148, 166, 188, 198, 220, 238, 244] |
| 16 | 12 | [15, 21, 39, 61, 71, 93, 111, 117, 143, 149, 167, 189, 199, 221, 239, 245] |
# Boolf prop/3-ary/quadrant

Number of blocks: 4 Integer partition: 4⋅64
| # | quadrant | block |
| 64 | 0 | [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126] |
| 64 | 1 | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127] |
| 64 | 2 | [128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254] |
| 64 | 3 | [129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255] |
# Linear mapping/Dual mapping/Functorial properties/Fact/Proof

* For $f\in {W}^{*}$, we have
    ${\left(\varphi \circ \psi \right)}^{*}(f)=f\circ {\left(\varphi \circ \psi \right)}={\left(f\circ \varphi \right)}\circ \psi =\varphi ^{*}(f)\circ \psi =\psi ^{*}(\varphi ^{*}(f))\,.$
* This follows directly from $f\circ \operatorname {Id} _{V}=f$.
* Let $f\in {V}^{*}$ and Because of the surjectivity of $\psi$, there exist for every $v\in V$ a $u\in U$ such that $\psi (u)=v$. Therefore and $f$ is itself the zero mapping. Due to fact, $\psi ^{*}$ injective.
    $\psi ^{*}(f)=0\,.$
    $f(v)=f(\psi (u))=(\psi ^{*}(f))(u)=0\,,$
* The condition means that we may consider $U\subseteq V$ as a linear subspace. Because of fact, we can write with another $K$-linear subspace $U'\subseteq V$. A linear form can always be extended to a linear form for example, by defining ${\tilde {g}}$ on $U'$ to be the zero form. This means the surjectivity.
    $V=U\oplus U'\,$
    $g\colon U\longrightarrow K$
    ${\tilde {g}}\colon V\longrightarrow K,$
# Dual space/Orthogonal space/Sum and intersection/Exercise

Let $V$ be a $K$-vector space, and let $U_{1},U_{2}\subseteq V$ denote linear subspaces. Show that in the dual space ${V}^{*}$, the equality
    ${\left(U_{1}+U_{2}\right)}^{\perp }=U_{1}^{\perp }\cap U_{2}^{\perp }\,$
holds.
# Linear algebra (Osnabrück 2024-2025)/Finite-dimensional vector space/Linear subspace/Kernel/Solution space/Fact/Proof/Exercise/Exercisereferencenumber

Exercise 15.9
# Boolf prop/3-ary/great principality

Number of blocks: 11 Integer partition: 2⋅4 + 2⋅12 + 2⋅16 + 2⋅24 + 3⋅48
| # | great principality | block |
| 4 | 0 | [0, 127, 128, 255] |
| 16 | 42 | [1, 15, 42, 51, 76, 85, 112, 126, 129, 143, 170, 179, 204, 213, 240, 254] |
| 48 | 2 | [2, 4, 10, 12, 16, 30, 34, 41, 47, 48, 54, 59, 68, 73, 79, 80, 86, 93, 97, 111, 115, 117, 123, 125, 130, 132, 138, 140, 144, 158, 162, 169, 175, 176, 182, 187, 196, 201, 207, 208, 214, 221, 225, 239, 243, 245, 251, 253]File:Set of 3-ary Boolean functions 18164071306771015219614484390514209615854703789015073714839395201561703552020.svg |
| 12 | 110 | [3, 5, 17, 110, 122, 124, 131, 133, 145, 238, 250, 252] |
| 12 | 6 | [6, 18, 20, 107, 109, 121, 134, 146, 148, 235, 237, 249] |
| 48 | 44 | [7, 9, 19, 21, 27, 29, 33, 39, 44, 53, 56, 62, 65, 71, 74, 83, 88, 94, 98, 100, 106, 108, 118, 120, 135, 137, 147, 149, 155, 157, 161, 167, 172, 181, 184, 190, 193, 199, 202, 211, 216, 222, 226, 228, 234, 236, 246, 248]File:Set of 3-ary Boolean functions 565529641703549352698328502491291839499546033913662495268955069787943731840.svg |
| 24 | 8 | [8, 31, 32, 40, 55, 63, 64, 72, 87, 95, 96, 119, 136, 159, 160, 168, 183, 191, 192, 200, 215, 223, 224, 247] |
| 48 | 26 | [11, 13, 26, 28, 35, 38, 45, 46, 49, 52, 57, 58, 69, 70, 75, 78, 81, 82, 89, 92, 99, 101, 114, 116, 139, 141, 154, 156, 163, 166, 173, 174, 177, 180, 185, 186, 197, 198, 203, 206, 209, 210, 217, 220, 227, 229, 242, 244]File:Set of 3-ary Boolean functions 35338021591640181777101803355550840059313872006367481786676727406351362048.svg |
| 24 | 14 | [14, 25, 37, 43, 50, 60, 67, 77, 84, 90, 102, 113, 142, 153, 165, 171, 178, 188, 195, 205, 212, 218, 230, 241] |
| 16 | 22 | [22, 24, 36, 61, 66, 91, 103, 105, 150, 152, 164, 189, 194, 219, 231, 233] |
| 4 | 104 | [23, 104, 151, 232] |
# Boolf prop/3-ary/great dominion

Number of blocks: 11 Integer partition: 2⋅4 + 2⋅12 + 2⋅16 + 2⋅24 + 3⋅48
| # | great dominion | block |
| 4 | 0 | [0, 1, 254, 255] |
| 16 | 42 | [2, 3, 4, 5, 16, 17, 126, 127, 128, 129, 238, 239, 250, 251, 252, 253]File:Set of 3-ary Boolean functions 27140096050294567090646637084536785593273082144885683148954117234374740213820.svg |
| 24 | 14 | [6, 7, 18, 19, 20, 21, 110, 111, 122, 123, 124, 125, 130, 131, 132, 133, 144, 145, 234, 235, 236, 237, 248, 249] |
| 12 | 110 | [8, 9, 32, 33, 64, 65, 190, 191, 222, 223, 246, 247] |
| 48 | 2 | [10, 11, 12, 13, 24, 25, 34, 35, 36, 37, 48, 49, 62, 63, 66, 67, 68, 69, 80, 81, 94, 95, 118, 119, 136, 137, 160, 161, 174, 175, 186, 187, 188, 189, 192, 193, 206, 207, 218, 219, 220, 221, 230, 231, 242, 243, 244, 245] |
| 24 | 8 | [14, 15, 50, 51, 60, 61, 84, 85, 90, 91, 102, 103, 152, 153, 164, 165, 170, 171, 194, 195, 204, 205, 240, 241] |
| 16 | 22 | [22, 23, 106, 107, 108, 109, 120, 121, 134, 135, 146, 147, 148, 149, 232, 233]File:Set of 3-ary Boolean functions 20705239040371691362304268924941126472540467524605942885874178457600000.svg |
| 48 | 26 | [26, 27, 28, 29, 38, 39, 46, 47, 52, 53, 58, 59, 70, 71, 78, 79, 82, 83, 92, 93, 114, 115, 116, 117, 138, 139, 140, 141, 162, 163, 172, 173, 176, 177, 184, 185, 196, 197, 202, 203, 208, 209, 216, 217, 226, 227, 228, 229]File:Set of 3-ary Boolean functions 1617913990617093329656435878114984274332118735448860937779656932720640.svg |
| 48 | 44 | [30, 31, 42, 43, 44, 45, 54, 55, 56, 57, 74, 75, 76, 77, 86, 87, 88, 89, 98, 99, 100, 101, 112, 113, 142, 143, 154, 155, 156, 157, 166, 167, 168, 169, 178, 179, 180, 181, 198, 199, 200, 201, 210, 211, 212, 213, 224, 225] |
| 12 | 6 | [40, 41, 72, 73, 96, 97, 158, 159, 182, 183, 214, 215] |
| 4 | 104 | [104, 105, 150, 151]File:Set of 3-ary Boolean functions 4281743078117940490403668863359757250902097920.svg |
# U. S. Government/Federalism vs Separation of Power

This is a quick guide on "Federalism" and "Separation of Powers", story behind the two terms, what they are, and the difference.

## Story of the Constitution

The writers of the Constitution wanted to avoid the government from becoming too strong, so they limited the government's power to only do those things people have given it the power to do. This was the principle of Consent of the Governed. To give the Constitution legitimacy, the Preamble to the Constitution of the United States of America begins, We the People, which establishes that the power of government comes from the people, this principle became was known as the principle of Checks and Balances.
In addition to the idea that power of government comes from the people, they brought back the idea of electing people to make laws and conduct government on their behalf, which is the fundamental political principle of Representative Government. After the states agreed to the Constitution, the Constitution became the Supreme Law of the land in America.
The writers put a lot of thought into what they needed to do. This is when they decided they need three more principles to limit the power of the Central Government.

## Constitutional Principles

* One of their decisions was to divide the government into levels. The national (U.S.), state (Florida, Idaho, Montana, Virginia, Maine), and local (Chicago, Richmond, New York City) governments are the most popular levels of government. This division of power between levels would be the principle of Federalism.
* To add to the confusion, they divided the government into three branches (Legislative, Executive, and Judicial). The principle became known as Separation of Powers. This separation would allow each branch of government to do something different.
* Even though the Declaration of Independence was the thing of the past, the people of the United States were still afraid of any one person or government becoming too strong. They quickly developed the principle of Limited Government in order to limit the power of the other branches. This meant that at any time, the Legislative Branch may have the final decision on the Executive and Judicial goals, the Executive Branch could have final decision on the Judicial and Legislative, and Judicial Branch would have final decision on the Executive and Legislative efforts. Even though they were separate branches, the branches could not work without the other two branches.

### Vocabulary
##### Consent of the Governed

People are the source of any and all governmental power

##### Checks and Balances

The delegates build a "checks and balances" system, so one branch doesn't have all the power.

##### Representative Government

In a representative system of government, people elect public officeholders to make laws and conduct government on the people's behalf.

##### Federalism

Divisions of power between levels of the government.

##### Separation of Powers

Divided the government into three BRANCHES (Legislative, Executive, Judicial).

##### Limited Government

Not all powerful, only follows what the people order them to do.
# Neurosociety Media Centre/Centres/Brain Imaging

* Bioimaging Lab, University of Antwerp
* Centre for Cognition and Neuroimaging, Brunel University
* Wolfson Brain Imaging Centre, University of Cambridge
* Cardiff University Brain and Repair Imaging Centre, Cardiff
* SFC Brain Imaging Research Centre, University of Edinburgh
* Medical Image and Signal Processing, Ghent University
* BCN Neuroimaging Center, University Medical Center Groningen, University of Groningen
* MR Research Centre, KUleuven
* NMR and Molecular Imaging Laboratory, Université de Mons-Hainaut
* FMRIB Centre, University of Oxford
* Wellcome Trust Centre for Neuroimaging, University College London
# Aymaran

Introduction to Aymaran :
Aymara
Subject classification: this is a language-learning resource.
Completion status: Ready for testing by learners and teachers. Please begin!
Geographic distribution of the Aymara language.
Aymaran or Aymara is a South American language.
Geographical distribution
There are roughly 1.6 million Bolivian speakers, 420,000 Peruvian speakers and 15,000 Chilean speakers. At the time of the Spanish conquest, in the sixteenth century, Aymara was the dominant language over a much larger area than today, including most of highland Peru south of Cuzco. Over the centuries Aymara has gradually lost speakers both to Spanish and to Quechua; today, many Peruvian and Bolivian communities which were once Aymara-speaking speak Quechua.
References
↑ Cerron-Palomino, 2000, pp 68-70.
↑ Xavier Albó, "Andean People in the Twentieth Century," in The Cambridge History of the Native Peoples of the Americas. Vol. III: South America, ed. Frank Salomon and Stuart B. Schwartz (New York: Cambridge University Press, 1999), 765-871. :
Topics
First text: About
Second text: Pronunciation
Third text: Bases
Fourth text: Dialects
Fifth text: Phonology :
| previous lesson | next lesson | Department | Division |
# Boolf prop/3-ary/lictor

Number of blocks: 4 Integer partition: 4⋅64
| # | lictor | block |
| 64 | 0 | [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255] |
| 64 | 9 | [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239] |
| 64 | 6 | [32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223] |
| 64 | 15 | [48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207] |
# Boolf prop/3-ary/patron

Number of blocks: 16 Integer partition: 16⋅16
| # | patron | patron index | praetor sword | block |
| 16 | 0 | 0 | 0 | [0, 30, 40, 54, 72, 86, 96, 126, 128, 158, 168, 182, 200, 214, 224, 254] |
| 16 | 254 | 15 | 1 | [1, 31, 41, 55, 73, 87, 97, 127, 129, 159, 169, 183, 201, 215, 225, 255] |
| 16 | 168 | 10 | 2 | [2, 28, 42, 52, 74, 84, 98, 124, 130, 156, 170, 180, 202, 212, 226, 252] |
| 16 | 86 | 5 | 3 | [3, 29, 43, 53, 75, 85, 99, 125, 131, 157, 171, 181, 203, 213, 227, 253] |
| 16 | 200 | 12 | 4 | [4, 26, 44, 50, 76, 82, 100, 122, 132, 154, 172, 178, 204, 210, 228, 250] |
| 16 | 54 | 3 | 5 | [5, 27, 45, 51, 77, 83, 101, 123, 133, 155, 173, 179, 205, 211, 229, 251] |
| 16 | 96 | 6 | 6 | [6, 24, 46, 48, 78, 80, 102, 120, 134, 152, 174, 176, 206, 208, 230, 248] |
| 16 | 158 | 9 | 7 | [7, 25, 47, 49, 79, 81, 103, 121, 135, 153, 175, 177, 207, 209, 231, 249] |
| 16 | 128 | 8 | 8 | [8, 22, 32, 62, 64, 94, 104, 118, 136, 150, 160, 190, 192, 222, 232, 246] |
| 16 | 126 | 7 | 9 | [9, 23, 33, 63, 65, 95, 105, 119, 137, 151, 161, 191, 193, 223, 233, 247] |
| 16 | 40 | 2 | 10 | [10, 20, 34, 60, 66, 92, 106, 116, 138, 148, 162, 188, 194, 220, 234, 244] |
| 16 | 214 | 13 | 11 | [11, 21, 35, 61, 67, 93, 107, 117, 139, 149, 163, 189, 195, 221, 235, 245] |
| 16 | 72 | 4 | 12 | [12, 18, 36, 58, 68, 90, 108, 114, 140, 146, 164, 186, 196, 218, 236, 242] |
| 16 | 182 | 11 | 13 | [13, 19, 37, 59, 69, 91, 109, 115, 141, 147, 165, 187, 197, 219, 237, 243] |
| 16 | 224 | 14 | 14 | [14, 16, 38, 56, 70, 88, 110, 112, 142, 144, 166, 184, 198, 216, 238, 240] |
| 16 | 30 | 1 | 15 | [15, 17, 39, 57, 71, 89, 111, 113, 143, 145, 167, 185, 199, 217, 239, 241] |
# Boolf prop/3-ary/quaestor sword

Number of blocks: 8 Integer partition: 8⋅32
| # | quaestor sword | block |
| 32 | 0 | [0, 9, 23, 30, 33, 40, 54, 63, 65, 72, 86, 95, 96, 105, 119, 126, 128, 137, 151, 158, 161, 168, 182, 191, 193, 200, 214, 223, 224, 233, 247, 254]File:Set of 3-ary Boolean functions 29174192577579625327487011147509890742571361935970997062659577304118965830145.svg |
| 32 | 1 | [1, 8, 22, 31, 32, 41, 55, 62, 64, 73, 87, 94, 97, 104, 118, 127, 129, 136, 150, 159, 160, 169, 183, 190, 192, 201, 215, 222, 225, 232, 246, 255] |
| 32 | 13 | [2, 11, 21, 28, 35, 42, 52, 61, 67, 74, 84, 93, 98, 107, 117, 124, 130, 139, 149, 156, 163, 170, 180, 189, 195, 202, 212, 221, 226, 235, 245, 252]File:Set of 3-ary Boolean functions 7293600008592313336010988178164220123050392725502212102454064273081728239620.svg |
| 32 | 12 | [3, 10, 20, 29, 34, 43, 53, 60, 66, 75, 85, 92, 99, 106, 116, 125, 131, 138, 148, 157, 162, 171, 181, 188, 194, 203, 213, 220, 227, 234, 244, 253] |
| 32 | 11 | [4, 13, 19, 26, 37, 44, 50, 59, 69, 76, 82, 91, 100, 109, 115, 122, 132, 141, 147, 154, 165, 172, 178, 187, 197, 204, 210, 219, 228, 237, 243, 250]File:Set of 3-ary Boolean functions 1823607458937706350559688609688044780392807147413404372770195856478379188240.svg |
| 32 | 10 | [5, 12, 18, 27, 36, 45, 51, 58, 68, 77, 83, 90, 101, 108, 114, 123, 133, 140, 146, 155, 164, 173, 179, 186, 196, 205, 211, 218, 229, 236, 242, 251] |
| 32 | 6 | [6, 15, 17, 24, 39, 46, 48, 57, 71, 78, 80, 89, 102, 111, 113, 120, 134, 143, 145, 152, 167, 174, 176, 185, 199, 206, 208, 217, 230, 239, 241, 248]File:Set of 3-ary Boolean functions 456731691892938653867688413009970193619037651004756481819268116951383310400.svg |
| 32 | 7 | [7, 14, 16, 25, 38, 47, 49, 56, 70, 79, 81, 88, 103, 110, 112, 121, 135, 142, 144, 153, 166, 175, 177, 184, 198, 207, 209, 216, 231, 238, 240, 249]File:Set of 3-ary Boolean functions 906837706977020286216674639485733042752066771205960769233063796304460726400.svg |
# Math Adventures

This is a collection of math-oriented activities, games, and puzzles that are fun and instructive and easy to follow. Math adventure can help answer the question, Why study math?
* Roll the dice
* Wheat and the Chessboard
** Boo who?
* Same Birthdays
* The area of a circle
* Fibonacci and the Golden Ratio
* Triangular numbers
* Pascal's triangle in wiki-latex
* Palindromes
* Peanut Butter Power
* Seven Bridges of Königsberg
* Pythagorean Theorem
* Square Roots using Newton’s Method
* Volume of a rotating rectangle
* Tetrahedron in a Cube
* Multiplying Negative Numbers
* Binary Numbers
* Decoding mighty things
* Benford's law
* Prime Numbers
* The square root of 2 is irrational
* Braess's paradox
* Arithmetic with Kaktovik numerals
* Logistic map
* Feigenbaum constants
* Three-body problem
* First 10-digit prime found in consecutive digits of e
* The Pigeonhole Principle
* Find the Light Gumball
* The Peano axioms
* Triangle Test Cases
* German
Tank Problem
# Boolf prop/3-ary/lictor sword

Number of blocks: 4 Integer partition: 4⋅64
| # | lictor sword | block |
| 64 | 0 | [0, 1, 6, 7, 24, 25, 30, 31, 40, 41, 46, 47, 48, 49, 54, 55, 72, 73, 78, 79, 80, 81, 86, 87, 96, 97, 102, 103, 120, 121, 126, 127, 128, 129, 134, 135, 152, 153, 158, 159, 168, 169, 174, 175, 176, 177, 182, 183, 200, 201, 206, 207, 208, 209, 214, 215, 224, 225, 230, 231, 248, 249, 254, 255] |
| 64 | 15 | [2, 3, 4, 5, 26, 27, 28, 29, 42, 43, 44, 45, 50, 51, 52, 53, 74, 75, 76, 77, 82, 83, 84, 85, 98, 99, 100, 101, 122, 123, 124, 125, 130, 131, 132, 133, 154, 155, 156, 157, 170, 171, 172, 173, 178, 179, 180, 181, 202, 203, 204, 205, 210, 211, 212, 213, 226, 227, 228, 229, 250, 251, 252, 253] |
| 64 | 9 | [8, 9, 14, 15, 16, 17, 22, 23, 32, 33, 38, 39, 56, 57, 62, 63, 64, 65, 70, 71, 88, 89, 94, 95, 104, 105, 110, 111, 112, 113, 118, 119, 136, 137, 142, 143, 144, 145, 150, 151, 160, 161, 166, 167, 184, 185, 190, 191, 192, 193, 198, 199, 216, 217, 222, 223, 232, 233, 238, 239, 240, 241, 246, 247] |
| 64 | 6 | [10, 11, 12, 13, 18, 19, 20, 21, 34, 35, 36, 37, 58, 59, 60, 61, 66, 67, 68, 69, 90, 91, 92, 93, 106, 107, 108, 109, 114, 115, 116, 117, 138, 139, 140, 141, 146, 147, 148, 149, 162, 163, 164, 165, 186, 187, 188, 189, 194, 195, 196, 197, 218, 219, 220, 221, 234, 235, 236, 237, 242, 243, 244, 245] |
# Boolf prop/3-ary/praetor shield

Number of blocks: 4 Integer partition: 4⋅64
| # | praetor shield | block |
| 64 | 0 | [0, 6, 9, 15, 17, 23, 24, 30, 34, 36, 43, 45, 51, 53, 58, 60, 66, 68, 75, 77, 83, 85, 90, 92, 96, 102, 105, 111, 113, 119, 120, 126, 129, 135, 136, 142, 144, 150, 153, 159, 163, 165, 170, 172, 178, 180, 187, 189, 195, 197, 202, 204, 210, 212, 219, 221, 225, 231, 232, 238, 240, 246, 249, 255] |
| 64 | 9 | [1, 7, 8, 14, 16, 22, 25, 31, 35, 37, 42, 44, 50, 52, 59, 61, 67, 69, 74, 76, 82, 84, 91, 93, 97, 103, 104, 110, 112, 118, 121, 127, 128, 134, 137, 143, 145, 151, 152, 158, 162, 164, 171, 173, 179, 181, 186, 188, 194, 196, 203, 205, 211, 213, 218, 220, 224, 230, 233, 239, 241, 247, 248, 254]File:Set of 3-ary Boolean functions 29630924257877886627698257928111410396462711325525567447945943806742137749890.svg |
| 64 | 6 | [2, 4, 11, 13, 19, 21, 26, 28, 32, 38, 41, 47, 49, 55, 56, 62, 64, 70, 73, 79, 81, 87, 88, 94, 98, 100, 107, 109, 115, 117, 122, 124, 131, 133, 138, 140, 146, 148, 155, 157, 161, 167, 168, 174, 176, 182, 185, 191, 193, 199, 200, 206, 208, 214, 217, 223, 227, 229, 234, 236, 242, 244, 251, 253] |
| 64 | 15 | [3, 5, 10, 12, 18, 20, 27, 29, 33, 39, 40, 46, 48, 54, 57, 63, 65, 71, 72, 78, 80, 86, 89, 95, 99, 101, 106, 108, 114, 116, 123, 125, 130, 132, 139, 141, 147, 149, 154, 156, 160, 166, 169, 175, 177, 183, 184, 190, 192, 198, 201, 207, 209, 215, 216, 222, 226, 228, 235, 237, 243, 245, 250, 252]File:Set of 3-ary Boolean functions 9117207470208255274346926810670262660549963255324556163829281172943023641640.svg |
# Boolf prop/3-ary/quaestor dominion

Number of blocks: 8 Integer partition: 4⋅16 + 4⋅48
| # | quaestor dominion | block |
| 16 | (0, 0) | [0, 24, 36, 60, 66, 90, 102, 126, 129, 153, 165, 189, 195, 219, 231, 255] |
| 16 | (0, 3) | [1, 25, 37, 61, 67, 91, 103, 127, 128, 152, 164, 188, 194, 218, 230, 254] |
| 48 | (2, 1) | [2, 4, 8, 16, 26, 28, 32, 38, 44, 52, 56, 62, 64, 70, 74, 82, 88, 94, 98, 100, 110, 118, 122, 124, 131, 133, 137, 145, 155, 157, 161, 167, 173, 181, 185, 191, 193, 199, 203, 211, 217, 223, 227, 229, 239, 247, 251, 253] |
| 48 | (2, 2) | [3, 5, 9, 17, 27, 29, 33, 39, 45, 53, 57, 63, 65, 71, 75, 83, 89, 95, 99, 101, 111, 119, 123, 125, 130, 132, 136, 144, 154, 156, 160, 166, 172, 180, 184, 190, 192, 198, 202, 210, 216, 222, 226, 228, 238, 246, 250, 252]File:Set of 3-ary Boolean functions 9159777441623223604027668078532861087438591014772175852292876382425082626600.svg |
| 48 | (2, 0) | [6, 10, 12, 18, 20, 30, 34, 40, 46, 48, 54, 58, 68, 72, 78, 80, 86, 92, 96, 106, 108, 114, 116, 120, 135, 139, 141, 147, 149, 159, 163, 169, 175, 177, 183, 187, 197, 201, 207, 209, 215, 221, 225, 235, 237, 243, 245, 249] |
| 48 | (2, 3) | [7, 11, 13, 19, 21, 31, 35, 41, 47, 49, 55, 59, 69, 73, 79, 81, 87, 93, 97, 107, 109, 115, 117, 121, 134, 138, 140, 146, 148, 158, 162, 168, 174, 176, 182, 186, 196, 200, 206, 208, 214, 220, 224, 234, 236, 242, 244, 248] |
| 16 | (0, 1) | [14, 22, 42, 50, 76, 84, 104, 112, 143, 151, 171, 179, 205, 213, 233, 241] |
| 16 | (0, 2) | [15, 23, 43, 51, 77, 85, 105, 113, 142, 150, 170, 178, 204, 212, 232, 240] |