bmorphism

abstract type AbstractLattice; end

function widen; end

"""
    struct JLTypeLattice

A singleton type representing the lattice of Julia types, without any inference
extensions.
"""

bmorphism

a full list of the vignettes I share on Poe (as I am liberating it for RAG type uses and just archival purposes): Here is a table with the post titles, links, and predicted keywords for each:

Title	Link	Keywords
Cognitive Currents	https://poe.com/bmorphism/1512928000169104	cognition, thinking, psychology
😶‍🌫️	https://poe.com/bmorphism/1512928000166012	emoji, face, foggy
🥉🥈🥇...	https://poe.com/bmorphism/1512928000165916	medals, olympics, sports
Pants Topology	https://poe.com/bmorphism/1512928000164432	pants, clothing, topology
http://vibes.lol	https://poe.com/bmorphism/1512928000161272	vibes, mood, internet
Topology of a Meme	https://poe.com/bmorphism/1512928000159393	meme,

bmorphism

Objects: The objects of the Grothendieck construction, denoted as (c, x), are pairs consisting of an object c in C, and an object x in F(c).

Morphisms: The morphisms of the Grothendieck construction from (c₁, x₁) to (c₂, x₂) are pairs of morphisms (f: c₁ → c₂, g: F(f)(x₁) → x₂) such that f is a morphism in C and g is a morphism in F(c₂), and they are compatible in the sense of the functor F.

Composition: The composition of morphisms in the Grothendieck construction is done component-wise: Given two morphisms (f₁, g₁): (c₁, x₁) → (c₂, x₂) and (f₂, g₂): (c₂, x₂) → (c₃, x₃), their composition is defined as (f₂ ∘ f₁, g₂ ∘ F(f₁)(g₁)): (c₁, x₁) → (c₃, x₃).

Identities: The identity morphism for an object (c, x) in the Grothendieck construction is the pair (idₖ, idₗ), where idₖ is the identity morphism for the object c in C, and idₗ is the identity morphism for the object x in F(c).

bmorphism

(topos-py3.10) barton@grothendieck topos % poetry add llm Using version ^0.10 for llm

Updating dependencies Resolving dependencies... (27.6s)

Writing lock file

Package operations: 7 installs, 0 updates, 0 removals

bmorphism

Connected to the Continuum server. Please enter your query.

---

What is autopoietic ergodicity and embodied gradualism?

---

Autopoietic Ergodicity and Embodied Gradualism are concepts derived from the fields of systems theory and thermodynamics, and they are applied in the context of the Plurigrid project.

bmorphism

#include <thread>
#include <vector>
#include <sys/mman.h>

constexpr size_t kPageSize = 65536;
constexpr size_t k4G = 0x100000000;

void allocate_memory() {
  // Attempt to allocate 4G of memory repeatedly
  while (true) {

bmorphism

Topic 1: Introduction to the User's Query (Birth: 1, Death: 1)

The user provided a link to a paper, and the conversation began.
Topic 2: Discussion on Graph Learning and Aperiodic Tilings (Birth: 2, Death: 2)

The user presented an approach to implementing equivariance in graph learning and aperiodic tilings.
Topic 3: Theoretical Underpinnings and Critique (Birth: 0, Death: 3)

The user asked for criticism and theoretical exploration of the approach, leading to discussions on sheaves, cohomologies, and the theoretical feasibility of the project.
Topic 4: Explanation and Visualization of Algebraic Topology and Persistent Homology (Birth: 3, Death: 4)

bmorphism

\title{
Obstructions to Compositionality
}

\author{
Caterina Puca \\ Quantinuum* \\ caterina.puca@quantinuum.com
}

\author{
Amar Hadzihasanovic \\ ${ }^{1}$ Quantinuum* \\ 2 Tallinn University of Technology \\ amar . hadzihasanovic@quantinuum.com \\ Bob Coecke \\ Quantinuum* \\ bob.coecke@quantinuum.com

bmorphism

Here is a visualization of the nested symmetry in the metafictional story, aligned with the summary points on emergent phenomena and diagrammatic reasoning:

              Emergence in complex systems   
 Meta          
   Meta          Coecke's graphical diagrams
     Meta       
       Meta      Information flow in viral networks
         Meta   
 Meta Bayesian graphical models

bmorphism

1. Concept: 

The user interacts with SumeruNet through simple cuneiform prompts written on a clay tablet interface. SumeruNet employs a diffusion process to gradually clarify the meaning and form of the desired conceptual output.

2. Input Controls:

• Cuneiform Prompts: The user writes brief descriptive sentences in cuneiform on a virtual clay writing surface. These basic prompts set the initial goals and concepts for SumeruNet.

• Conditional Tokens: The user adds specialized cuneiform tokens to the prompt to specify conditional attributes like colors, materials, object types, etc. This constrains and guides the output within Sumerian artistic conventions.