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The company said the "rumors are completely false" after its stock sank more than 50% on a report that it was weighing the option.

The cohesion paper series is now published in full — five papers that build a chain from the concept of cohesion to the Independent Variation Principle (IVP) . The chain: On the Nature of Cohesion — defines cohesion as a $2k$-tuple: for $k$ partitioning rules, $k$ (purity, completeness) pairs. Proves the knowledge-embodiment theorem: maximal cohesion under a rule coincides with exact knowledge embodiment under that rule. Shows that every published algorithmic cohesion metric measures a structural proxy (method-call overlap, shared-field density), not cohesion as defined by a principle. DOI: 10.5281/zenodo.20785752 Causal Cohesion — instantiates the schema under one concrete rule — change-driver-assignment identity: elements belong together iff $\Gamma(e_1) = \Gamma(e_2)$. Develops the metric $H_\text{causal}(M) = (\text{purity}(M), \text{completeness}(M))$, a two-dimensional score that fills one slot of the $2k$-tuple. DOI: 10.5281/zenodo.20785881 Four Necessary Conditions for Optimal Modularization — from the schema plus the objective of minimizing change propagation, proves four conditions — Admissibility, Element Form, Separation, Unification — are necessary and jointly exhaustive, uniquely pinning the $\Gamma$-equality partition $E / \tilde{\Gamma}$. DOI: 10.5281/zenodo.21362420 Why Minimizing Change Propagation Minimizes Maintenance Cost — decomposes total maintenance cost into access, alignment, cognitive, and domain-fixed components. Proves that minimizing change propagation cost is equivalent to minimizing total maintenance cost under an explicit coefficient condition, justifying the objective paper 5 assumed. DOI: 10.5281/zenodo.21362542 The Independent Variation Principle — synthesizes the chain into a single structural principle and examines the premises (change drivers, functional model, change isolation), preconditions (driver independence, decisional autonomy), and scope boundary. DOI: 10.5281/zenodo.21362618 Two derivations Last month's preprint — Der

When I first heard the term backtracking , it sounded like a complicated algorithm reserved for computer scientists. After spending the last couple of weeks learning it and implementing it in a Tetris Optimizer project, I realized something surprising: Backtracking is simply the art of making a decision, checking whether it works, and if it doesn't, undoing it and trying something else. This article explains backtracking using a practical project instead of abstract examples. The Problem Imagine you have several Tetris pieces (tetrominoes), and your goal is to fit all of them into the smallest possible square . It might look something like this: A A A A B B B B C C C C D D D D The challenge is to arrange every piece so that: No pieces overlap. No piece extends outside the board. Every piece is used exactly once. The board is as small as possible. This is much harder than it looks. My First Thought Initially, I thought I could simply place one piece after another. Place A Place B Place C Place D Done! Unfortunately, programming isn't always that kind. Sometimes the first position you choose for piece A makes it impossible to place D later. The mistake wasn't with D . The mistake happened much earlier. Enter Backtracking Backtracking works like this: Place a piece. Try placing the next one. If you get stuck... Remove the last piece. Try a different position. Repeat until every piece fits. It's essentially saying: "If this path doesn't work, let's go back and explore another one." Visualizing the Search Suppose we have four tetrominoes. Start ├── Put A at (0,0) │ ├── Put B │ │ ├── Put C │ │ │ ├── D fits ✅ │ │ │ └── D fails ❌ │ │ └── Try another position │ └── Move A elsewhere └── Try another position for A Every branch represents another possibility. Backtracking explores these branches until it finds one that works. How It Looks in Go The heart of the algorithm is surprisingly small. func solve ( index int ) bool { if index == len ( pieces ) { return true } for every

Conductive ink is painted directly onto the skin in colorful custom designs, drying into working electrodes.

The new Google image search will use your "unique interests" to create an always-updated gallery.

A new study found that social media platforms are referring people to sites where they can create nonconsensual, sexually explicit deepfakes for as little as $1 an image.

X's head of product, Nikita Bier, admitted in a post on Monday that X's algorithm was "missing" data about surfacing posts from people who you've followed back. Now, he says a tweak will "boost visibility of your posts to your mutuals," hopefully enhancing the sense of community instead of highlighting and spreading random arguments, but […]

New York’s data center moratorium may become the blueprint for anti-AI movement.

“We have no choice but to address the challenges created by these massive facilities,” New York governor Kathy Hochul said. The executive order will pause construction for one year.

Google and industry partners announced Agentic Resource Discovery (ARD) Specification, an open standard for publishing, discovering, and verifying AI tools, APIs, and agents. ARD introduces a discovery layer built on catalogs and registries, enabling dynamic capability discovery while leveraging existing protocols such as MCP and OpenAPI for execution and emphasizing trust and interoperability. By Leela Kumili

Luca Mezzalira shares proven learnings from guiding hundreds of teams through the migration from monolithic web applications to distributed frontend architectures. He explains the core architectural difference between components and micro-frontends, outlines a 6-step decision framework spanning client vs. server rendering, and discusses how to utilize edge compute for safe, iterative rollouts. By Luca Mezzalira

Introduction “When I use a word,” Humpty Dumpty said in rather a scornful tone, “it means just what I choose it to mean—neither more nor less.” “The question is,” said Alice, “whether you can make words mean so many different things.” “The question is,” said Humpty Dumpty, “which is to be master—that's all.” — Lewis Carroll, Through the Looking-Glass Humpty Dumpty believes that words can mean whatever we choose them to mean. Alice asks an interesting question. Can they? Programming and Language Programming languages derive much of their power from formally specified semantics. The language implementation, not the programmer, defines what if , while and return mean. I cannot persuade the compiler that false should be treated as true . The rules establish a shared and mechanically enforced understanding of what a program means. Large Language Models however, do not execute according to fixed semantics. They interpret natural language through context. This distinction has profound consequences and suggests that a language model has no intrinsic notion of authority. In a programming language, when two instructions conflict, the language specification and execution environment determine the outcome. In natural language, authority does not arise from the words alone. It depends on context, convention, identity, and external rules. Language models, by nature, inherit this ambiguity. A prompt is therefore not a program in the traditional sense. It is an attempt to establish the context within which subsequent language should be interpreted. "You are a detective." "Do not reveal the identity of the murderer." "Only answer questions using the evidence you have observed." None of these statements is mechanically enforced merely because it appears in the prompt. They describe a role, a constraint, and an assumed world. The model may follow them, but their authority must be created and protected by systems outside the model. Prompt injection exploits precisely this weakness. It

Reflect Orbital has been given the green light to launch its first space mirror that aims to redirect sunlight down to Earth at night. The US Federal Communications Commission (FCC) has authorized the California-based startup to build and operate a single prototype satellite in low-Earth orbit later this year, despite concerns over how the technology […]

In the 1960s an MIT professor named Joseph Weizenbaum created a chatbot called ELIZA. The conversations people had with it set precedents for the chatbots to come.

Private buyers are increasingly outbidding museums for fossils. That’s making it difficult—or even impossible—for researchers to improve our understanding of the past.

In response to a public records request, HUD has withheld documents about DOGE’s use of AI—in part by citing a privilege that doesn’t exist.

AI makes the first 80% of development feel fast, but hides architectural complexity until it's too late. To prevent system instability, engineering leaders must shift from raw throughput to systemic comprehension. By unifying spec-anchored SDD, TDD, and automated fitness functions into a repo-bound "Context Store," teams can ensure AI agents and human reviewers evolve code safely. By Stella Berhe, Stephan Bragner, Vikram Maran, Anand Jayaraman

The FCC authorized Reflect Orbital to launch the mirror satellite Eärendil-1. “For optical astronomy, this poses an existential threat,” the European Southern Observatory said.

The machine that could change the world will be housed in a room that looks like a data center crossed with an ice cream factory. Inside will be some 100 stainless-steel cabinets, each about six feet tall and connected to a supply of liquid helium that keeps them only a few degrees above absolute zero.…

This flight will put Starship under higher pressure and test out new Starlink satellites in orbit.