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/Sandbox 23.12.2024/

On 17.10.2024, the article “A new inherent approach to solving the Collatz 3n+1 problem and its analogues” was published on the Academia.edu website [1]. The second link is for those who find it easier to read in Russian “Новый внутренне присущий подход к решению проблемы Коллатца 3n+1 и ее аналогов” [2].

The English version was originally intended for the arXiv preprint platform, but they suggested first publishing in a peer-reviewed mathematical journal. Attempts to access other platforms HAL, Qeios, and ResearchGate were met with the requirement for affiliation, which an independent researcher does not have.

The process took almost two months — more than the research itself from idea to text. As a result, the article ended up on the Academia site, which is free from “face control”. I think it will be useful for anyone interested in the Collatz conjecture to read it. Exclusively for Habr, this short text summarizing the content and meaning of the publication.

Hey there! I'm excited to share some big news from Google about their latest AI model, Gemini 2.0. I encourage you to read the article till the end and watch my video demo. It's mind-blowing!

Any SEO expert knows the pain of collecting Google keyword data. It’s one thing if you can count all the queries on one hand, but what if they number in the thousands? How do you check the search volume in Google for each keyword? Frankly, once you hit tens of thousands of keywords, it’s enough to make your head spin. You’ll be tempted to reach for outdated, familiar tools, only to find modern reality throwing a curveball: the old formula of Key Collector + Google Ads + a few proxies simply doesn’t cut it anymore. We’re entering a new era, and without direct access to the official API, things get grim and complicated fast.

In the fast-paced world of software development, ensuring the quality and reliability of applications is crucial. With the ever-increasing complexity of software systems, it becomes essential to adopt a comprehensive and structured approach to testing. One such approach can be encapsulated in the acronym "RABBIT," where each letter stands for a distinct branch of testing. This multifaceted strategy covers various testing methodologies that together create a robust framework for quality assurance. This article explores each branch of RABBIT testing in detail, providing insights into their significance, implementation, and appropriate use cases.

Apple представила новые патенты в сфере виртуальной реальности Vision Pro, самый быстрый чип от Google вызвал вопросы, а у индийских фермеров возникли проблемы с CRISPR. Рассказываем в нашем дайджесте про эти и другие наиболее важные новости в сфере интеллектуальной собственности.

Grok AI is a new and exciting artificial intelligence created by xAI, a company founded by Elon Musk in 2023. It works closely with X (formerly Twitter), offering cutting-edge tools for chatting, image creation, and more. In this article, we’ll break down what Grok AI is, how to use it, and what it can do.

Automation can be an exhilarating, albeit exhausting, journey‑especially for those just dipping their toes into it. The tasks are often labeled as “interesting” or “non‑standard,” which, let”s be honest, often translates to “challenging” or even “impossible.” Among these challenges, one question halts around 50% of novice automators in their tracks: How to bypass CAPTCHA!

The robotics industry is undergoing a significant transformation, moving beyond static systems and rigid programming to dynamic, adaptive solutions powered by artificial intelligence (AI). With these advancements, robots are increasingly capable of real-time decision-making and learning, opening up new opportunities to enhance workplace safety and efficiency.

In today's digital world, where applications process increasing amounts of sensitive data, ensuring reliable user authentication is critical. Authentication is the process of verifying the identity of a user who is trying to access a system. A properly chosen authentication method protects data from unauthorized access, prevents fraud, and increases user confidence.

However, with the development of technology, new authentication methods are emerging, and choosing the optimal solution can be difficult. This article will help developers and business owners understand the variety of authentication approaches and make informed choices.

At Altenar, we often use RabbitMQ as an entry point for our products. How to protect the TCP load balancer with a ManagedSSL certificate is described further.

What if you could build an entire Web App just by describing it? Today, I'll show you how Vercel's V0 revolutionizes web development. In about 5 minutes, you'll learn how to turn text into a production-ready Web App. Let's dive in!

Gen Z – a generation of young people born between the last few years of the 20th century and the first ten years of the 21st, are the primary users of a modern-day Internet. They started using technology since their early childhood, being almost constantly glued to their smartphones and tablets, which led to them being very demanding users that have their own requirements in UX. At the same time, they are known for their sense of humor and straightforwardness – which means they love using products that are both easy to navigate but full of interactive elements. Below we’ve collected a few things you should consider when creating a UX design aimed at a young audience.

Why might a feature not get to production on time? What prevents the team from releasing before the deadline? Can the product owner influence the timeline?

In this article, I will try to answer these questions and suggest solutions for the processes we are implementing and improving within the product team at EXANTE.

In my previous article, Puppeteer CAPTCHA bypass: Tokens or Clicks? Let’s Break It Down (which I also published on Dev.to), I compared two CAPTCHA bypass methods (clicks and tokens) using Puppeteer. I also announced that in the next article (this one), I would conduct a practical comparison of the same methods using Selenium. This will complete the CAPTCHA bypass picture, so to speak. Well, let’s not waste time and get straight to the point.

In my work, I often encounter various services designed to simplify tasks across different areas. I’m not talking about tools like GSA or A-Parser but about Zennoposter or BAS. I am no professor in automation, so I’ll explain in layman's terms: these services are essentially complex, multi-layered platforms that allow the creation of bots and scripts to perform almost any task without human intervention—a sort of “basic neural network.” By the way, such services existed long before neural networks became mainstream for everyday use.

While exploring BAS, I encountered a situation where many developers creating BAS scripts (ironically, developers developing) idealize CAPTCHA solving using clicks.

SSH (Secure Shell) is the backbone of remote system administration and secure remote access, serving millions of developers and system administrators daily. However, when SSH connections fail, the cryptographic nature of the protocol can make debugging challenging. The complex interplay between authentication mechanisms, encryption algorithms, and network layers often obscures the root cause of connection issues. This complexity is further compounded by the protocol's security-first design, where error messages are intentionally vague to prevent potential attackers from gathering system information. Whether we're dealing with key authentication failures, network connectivity issues, or configuration mismatches, understanding the underlying SSH architecture becomes critical for effective troubleshooting.