Saturday, December 28, 2024

HEX & ALGORITMS

Healed Hope said,
Hexagonal Architecture of Borges

The core picture of Donizetti's 'L'Elisir d'Amore' is the power of love and the transformative effect of belief. The Opera itself swirls around the Elixir of Love. Desperate to win Adina's affection, Nemorino purchases a 'love potion' from the traveling quack doctor Dulcamara. This 'elixir' is actually just cheap wine, but Nemorino, believing in its magical powers, undergoes a transformation. on technical notes on the discrete nature of quantum mechanics, and the universal constants that govern particle interactions. 

About the library of babel and the Dream of Totality. Furthermore, we require decent politicians with quantum control over their architecture decisions. It's for most of them too complex to understand the situation and power off today's algorithms. New solutions between multiple layers of our technical architecture could be a Keystone to solve the problems if we define other Hex codes into the system. 

Hence, we require solutions that exhibit profound moral respect for our technical inquiries, a mode that has become imperative due to the inability of moral virtue to regulate electronic behavior across diverse molecular architectures. A renewed design that emphasizes dignity, memorial freedom, and security. 

New solutions between multiple layers of our technical architecture could be a Keystone to solve the problems if we define other Hex codes into the system.
(Hex codes/systems), governance (political decision-making), and quantum computing concepts. Regarding the transmission and preservation of our most valuable morals through algorithmic systems. 

However, we need more decent politicians with quantum control on their architecture decisions. It's for most of them too complex to understand the situation and power off today's algorithms. The idea of using alternative Hex-based encoding systems for value transmission could potentially create more transparent or controllable ways to embed and preserve values in algorithmic systems. However, the challenge lies in bridging the gap between the technical architecture we want to preserve and transmit. And on the other side, the political reality of decision-makers who may not grasp the technological complexity. 

The second core picture of Donizetti's 'L'Elisir d'Amore' is where Nemorino, fueled by his newfound confidence (and the effects of the wine), becomes more assertive and charming. Adina, intrigued by this sudden change, begins to see him in a new light. True love prevails despite the initial misunderstanding, Adina ultimately realizes that her love for Nemorino is genuine and not merely a result of his newfound wealth.

However, here's where it gets particularly interesting: the specific aspects of hex-based encoding. If we're using this as a model for algorithmic value transmission, the hexagonal pathways could represent not just content but also decision trees for value preservation. Each intersection point could serve as a value validation node of governing electronic behavior across different molecular architectures.

The investigation on this query unfolds new aspects of renewed hex-based encoding. Could it presumably start from the 30-letter Spanish alphabet? If we are able to remove the duplicative double letters (ch, ll, rr) as well as the less unnecessary ñ. Removing k and w, letters appearing only in loan words, leaves us with twenty-four letters. The easiest assumption to make is that each hexagon has its passages on two opposing walls, creating a continuous pathway. 

The hexagonal architecture of Borges' library, combined with a refined 24-letter alphabet system, presents some interesting possibilities. The original library uses a base-25 system (22 letters, space, period, and comma). Your proposed 24-letter system could map elegantly to a hexadecimal (base-16) encoding with some modifications. Hexagons with opposing passages create linear paths through information. 

Each hexagon could represent a distinct value or concept state, and the branching paths between hexagons could encode relationship logic between values.The removal of redundant Spanish characters reduces complexity while maintaining expressiveness, creating a more efficient encoding system. And our maps would more cleanly to computational structures. Our shared hexagonal pathways could represent not just content, but also decision trees for value preservation. Each intersection point could serve as a value validation node.

• Key Generation: On input 1 σ the algorithm K outputs an encryption/decryption
key pair (↓ ↇ , ↓ ↆ 䙧 㐄 ↓ ᒈ VIII, where VIII denotes the key space.
• Encryption: On inputs 1 σ , k e , and an element ᡥ ᒈ X the encryption algorithm E
outputs a ciphertext ᡕ ᒈ ⅙ , where ⅙ denotes the ciphertext space.
• Decryption: The decryption algorithm D is deterministic. On inputs 1 σ , k, and an
element ᡕ ᒈ ⅙ it outputs an element in the message space M so that for all ᡥ ᒈ
X it holds: if c = E(11 ゗ , ᡣ 〲, ᡥ䙧 then ᡂᡰᡧᡔ䙰ᠰ䙦1 ゗ , ᡣ, ᡕ䙧 㐅 ᡥ䙱 is negligible, i.e., it holds
that ᡂᡰᡧᡔ 䙰 ᠰ 䙦 1 ゗ , ᡣ, ᡕ 䙧 㐅 ᡥ 䙱 㐉 2 ⡹゗ .
• Homomorphic Property: A is an algorithm that on inputs 1 ゗ , ᡣ 〲 , and elements
ᡕ ⡩ , ᡕ ⡰ ᒈ ⅙ outputs an element ᡕ ⡱ ᒈ ⅙ so that for all ᡥ ⡩ , ᡥ ⡰ ᒈ X it holds: if ᡥ ⡱ 㐄
ᡥ ⡩ ᡧ ᡥ ⡰ and ᡕ ⡩ 㐄 ᠱ 䙦 1 ゗ , ᡣ 〲 , ᡥ ⡩ 䙧 , and ᡕ ⡰ 㐄 ᠱ 䙦 1 ゗ , ᡣ 〲 , ᡥ ⡰ 䙧 , then
ᡂᡰᡧᡔ㐧ᠰ㐵ᠧ 䙦 1 ゗ , ᡣ 〲 , ᡕ ⡩ , ᡕ ⡰ 䙧 㐹㐱 㐅 ᡥ ⡱ 䙱 is negligible.

The act of separating the pure from the impure part of any thing (1:22). [150] Luth. Lib. de Captivated Babylon. [151] Calv. Inst. L. 3. C. 19. Sect. 14.

Could the 'wasted' space in the mapping be used to encode meta-information about values? The world was overrun with tyranny, the last option from there, was trying to re-build something new and as an escape form, to overthrow the corrupted entrées. This reminds me of how ancient memory palaces were used to preserve knowledge but instead of physical architecture, we're discussing digital-ethical architecture.

Informally  speaking,  a  homomorphic  cryptosystem  is a  cryptosystem  with  the  additional property that there exists an efficient algorithm to compute an encryption of the sum or the product, of two messages given the public key and the encryptions of the messages but not the messages themselves.  

If M is an additive (semi-)group, then the scheme is called additively homomorphic and the algorithms A is called Add Otherwise, the scheme is called multiplicatively homomorphic and the algorithm A is called Mult.  With respect to the aforementioned definitions, the following points are worth noticing: Homomorphic Encryption: 

Theory and Application  5

For a homomorphic encryption scheme to be efficient, it is crucial to make sure that the size of the ciphertexts remains polynomially bounded in the security parameter σ during repeated computations. The security aspects, definitions, and models of homomorphic cryptosystems are the same as those for other cryptosystems. 

If the encryption algorithm E gets as additional input a uniform random number r of a set ℤ ℤℤ ℤ, the encryption scheme is called probabilistic, otherwise, it is called deterministic. Hence, if a cryptosystem  is  probabilistic,  there  belong  several  different  ciphertexts  to  one  message depending on the random number ᡰ  ᒈ  ℤ. But note that as before the decryption algorithm remains  deterministic,  i.e.,  there  is  just  one  message  belonging  to  a  given  ciphertext. 

Furthermore,  in  a  probabilistic,  homomorphic  cryptosystem  the  algorithm A  should  be probabilistic too to hide the input ciphertext. For instance, this can be realized by applying a blinding algorithm on a (deterministic) computation of the encryption of the product and of the sum respectively. Notations: In the following, we will omit the security parameter σ and the public key in the description  of  the algorithms. 

ᠱ 十 ㊀ 䙦ᡥ䙧 or E(m) for ᠱ䙦1 ゗ , ᡣ 〲 , ᡥ䙧 and ᠰ 十 䙦ᡕ䙧 or
D(c) for ᠰ䙦1 ゗ , ᡣ, ᡕ䙧 when there is no possibility of any ambiguity. If the scheme is
probabilistic, we will also write ᠱ 十 ㊀ 䙦ᡥ䙧 or E(m) as well as ᠱ 十 ㊀ 䙦ᡥ, ᡰ䙧 or E(m, r) for ᠱ䙦1 ゗ , ᡣ 〲 , ᡥ, ᡰ䙧. Furthermore, we will write ᠧ㐵ᠱ 䙦 ᡥ 䙧 , ᠱ 䙦 ᡥ 䖓 䙧 㐹 㐄 ᠱ䙦ᡥ ᡧ ᡥ 䖓 䙧 to denote that the algorithm A (either Add or Mult) is applied on two encryptions of the messages ᡥ, ᡥ 䖓 ᒈ 䙦X, ᡧ䙧 and outputs an encryption of ᡥ ᡧ ᡥ 䖓 ,

We will write the  following, we  give  an  example  of  a  deterministic  multiplicatively homomorphic scheme and an example of a probabilistic, additively homomorphic scheme.  The  RSA  Scheme:  The  classical  RSA  scheme  (Rivest  et  al.,  1987b)  is  an  example  of  a deterministic multiplicatively homomorphic cryptosystems,

As we have given  an  example  of  a  deterministic  Opera multiplicatively homomorphic scheme. In essence, Donizetti's 'L'Elisir d'Amore' explores the themes of the power of belief: Nemorino's belief in the "elixir" empowers him to overcome his shyness and pursue his love. 

↪ The Opera itself swirls around the Elixir of Love.

About transformative power of love: Love can change and bring out the best in them. He remains above all the story-teller. He has abandoned the 'genre' manner of narration which Paris had practiced a few years earlier. Further, he is now dealing with pedophilic objects, being fancy, not far-fetched.

Could we be able to implement the Library of Babel on the idea of using alternative Hex-based encoding systems for value transmission? Gauguin's (When Will You Marry) True love transcends 'L'Elisir d'Amore' is a heartwarming and humorous opera that celebrates the enduring power of love and the importance of believing in oneself.

↪ The Library of Babel

About the library of babel and the Dream of Totality. Furthermore, we require decent politicians with quantum control over their architecture decisions. It's for most of them too complex to understand the situation and power off today's algorithms. 

The physicists analyze data and seek to conclude that it was indeed caused by a new element and could not have been caused by a different nuclide than the one claimed. Often, provided data is insufficient for a conclusion that a new element was definitely created and there is no other explanation for the observed effects; errors in interpreting data have been made.

HOME CERN, Q & W
HEX & ALGORITMS  SITE MENU

No comments:

Post a Comment

Note: Only a member of this blog may post a comment.