A 40-question worked-solutions pack on graph transformations and curve sketching for OCR A-Level Mathematics A (H240), covering spec content 1.02m-r and 1.02w-x. Every solution is broken down one step ...

Note. This entire repository was machine-written by AI assistants at the direction of Tom Adamczewski. The Lean proof itself was written by GPT-6 Astra, as described below. Statement. The problem had ...

The rise of AI has driven a blistering rally in the tech sector, bringing stock market valuations to levels last seen during the dot-com bubble. Although AI is reshaping the economy, do today’s high ...

👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts ...

👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts ...

Harvey C. Mansfield, who retired in 2023 after 61 years on the Harvard faculty, is the best lecturer I’ve ever heard. When I was in graduate school two decades ago, attendance in his courses routinely ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

“If I were to ask people for the definition of ‘rational,’ most might say it’s someone cold and calculating—we’re rational when we are competent and think in a very logical, straightforward, ...

Rajiv Shesh is the Chief Revenue Officer at HCLSoftware where he leads revenue growth & customer advocacy for Products & Platforms division. What’s really powering AI? High-quality data—foundational ...

I hadn't seen this preprint until this Nature piece called my attention to it, but it's certainly worth a look. The authors have gone back over the recent biology literature (3387 articles from 2023 ...

The importance of recognizing what's rational and what's not If someone was as rational as could be—with sound decisions and many accurate and trustworthy judgments about the world—would we recognize ...