Idle/Random/whatever Thoughts of a Demented/Idle/Whatever Mind

  1. How Many Decimals of Pi Do We Really Need? - This article explains that even for NASA's highest accuracy calculations, such as interplanetary navigation, only a small number of pi's decimals are needed. For example, JPL uses pi to the 15th decimal place (3.141592653589793). The article illustrates this by calculating the circumference of Voyager 1's distance from Earth, the circumference of Earth, and even the circumference of the known universe, demonstrating that only a limited number of decimal places are necessary for accurate calculations, even at vast scales. My Take : We often get super excited about accuracy and going to crazy lengths to achieve it. But, honestly, for any everyday functional use of pi, having 3 digits after the decimal gives you really good accuracy, which is usually within the range of error from other stuff anyway. In fact, that article mentions 37 decimals would be enough to calculate the circumference of the observable universe with the ac...

1. Llama 3.3 -  Llama 3.3 70B model offering similar performance to the Llama 3.1 405B model, allowing developers to achieve greater quality and performance on text-based applications at a fraction of the cost.  My Take : Meta continues to impress with each new release. Their recent claim that the 3.3 70B model performs as well as the 3.1 405B model is particularly noteworthy. This rapid progress suggests that these powerful models could soon be running on personal computers or even directly in web browsers.Meanwhile, OpenAI's recent move to introduce a $200 monthly subscription for advanced access to its models raises questions about its long-term strategy. While the initial novelty factor might justify such a premium, it seems excessive, especially for users in regions like India. It's likely that we'll see highly capable language models running on mobile devices within the next six months, potentially even before desktop deployment. My experience with a Llama 3.2 1B mod...