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Independent event

⭐ Independent Events Two events are independent when one happening does not change the probability of the other. That’s the whole heart of it. 📌 Formal definition Events and are independent if This equation is… 

Complementary events

⭐ Complementary Events Two events are complements when they cover the entire sample space together and cannot happen at the same time. If is an event, then its complement is: 📌 Key properties 🎯 Examples… 

Sample and Event

⭐ Sample vs. Event Think of probability as a story with two levels: 🎯 Sample Space (S) The sample space is the complete list of everything that could happen in an experiment. Examples Key idea… 

OpenAI’s Prism useful keyboard shortcuts and cool features

Prism (at https://prism.openai.com/) is OpenAI’s AI-powered collaborative LaTeX editor designed for researchers, scientists, and academics. It integrates frontier models (like GPT variants) directly into the LaTeX writing workflow for drafting, editing, rewriting, fixing errors, improving… 

downsampling for hyperparameter tuning

Downsampling for hyperparameter tuning reduces the dataset size to speed up model training and experimentation while preserving key data characteristics. Here’s a concise overview: Why Downsample for Hyperparameter Tuning? Key Considerations Practical Steps Pitfalls to… 

Learn A1 Norwegian in the song “Min Familie”

Level: A1 (Beginner) Topic: Family, Introductions, and Descriptions Goal: Learn how to introduce family members and describe what they look like or do. Part 1: Vocabulary – Family Members (Familiemedlemmer) Let’s start by mapping out… 

Learn A1-A2 Norwegian in the song “Min Hverdag”

Level: A1-A2 (Beginner) Topic: Daily Routine, Days of the Week, and Word Order Goal: Learn to describe your day and understand why the verb moves position in Norwegian sentences. Part 1: Vocabulary – Ukedagene (The… 

Norwegian B1-B2 in a ballad: Tidens Takt (The Pace of Time)

This lesson focuses on philosophical vocabulary, poetic word order, and essential verbs found in the lyrics. The song explores themes of time, responsibility, and human connection, making it excellent for intermediate learners (B1/B2 level) looking… 

Horizontal vs. Vertical App/Scenes in App

In most cases, horizontal apps have less ad inventory than vertical apps because their user base is broad but shallow, while vertical apps serve a narrower audience with deeper engagement, creating more targeted and monetizable… 

Textbooks Are All You Need

The central idea of the paper “Textbooks Are All You Need” is that data quality is significantly more important than data quantity or model size when training large language models (LLMs), particularly for code generation.… 

Garlic and Onion Family: A Powerful Ally Against Cancer

Current research suggests that vegetables in the garlic family (Alliums) play a significant role in preventing cancer, particularly within the digestive system. Studies indicate that these vegetables can help combat cancers of the oesophagus, stomach,… 

Funny Vietnamese folk tales & fables

Your Shirt is on Fire A wealthy old man had a servant who was quite impulsive—he spoke whatever came to mind, wherever part of the stories he was, without any beginning or end to his… 

Geckos’ amazing feet

Geckos are arguably the most charismatic and bizarre family in the reptile world. They are the only lizards that can vocalize, many can climb glass, and some have superpowers that seem pulled straight from a… 

Iguanas’ third eye

Here are some fun and fascinating facts about iguanas, ranging from their superhero-like senses to their quirky survival habits. They Have a “Third Eye” One of the weirdest facts about iguanas is that they have… 

Komodo dragons with stinky breath

Komodo dragons are the closest thing we have to real-life dinosaurs. They are the heaviest lizards on Earth, but their size is just the beginning of what makes them interesting. Here are the most fascinating… 

What’s Cache Augmented Generation (CAG)

Cache Augmented Generation (CAG) is an architecture for Large Language Models (LLMs) that removes the need for real-time data retrieval by pre-loading a knowledge base directly into the model’s active memory. In practical terms, while… 

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