sin(cos(x)) versus cos(sin(x))
A few days ago I wrote about sufficient conditions for f(g(x)) to bound g(f(x)). This evening I stumbled on an analogous theorem. For real numbers γ and δ, cos(γ sin(x)) > sin(δ cos(x)) for all real x provided γ² + δ² < (π/2)². Source: American Mathematical Monthly. February 2009. Solution
Read moreRectangles to Rectangles
There is a conformal map between any two simply connected open proper subsets of the complex plane. This means, for example, there is a one-to-one analytic map from the interior of a square onto the interior of a a circle. Or from the interior of a triangle onto the interior
Read moreIntroducing STRICH: Barcode Scanning for Web Apps
Learn how you can use the STRICH JavaScript library to bring real-time 1D/2D barcode scanning to your web applications. Continue reading Introducing STRICH: Barcode Scanning for Web Apps on SitePoint.
Read moreUsing Nodemon and Watch in Node.js for Live Restarts
Learn how to use nodemon and Node.js watch mode to auto restart your Node.js app and thereby speed up your development workflow. Continue reading Using Nodemon and Watch in Node.js for Live Restarts on SitePoint.
Read moreChris’ Corner: More Surprising Powers of CSS
Kilian Valkhof has a good one this week, You don’t need JavaScript for that, as part of the HTMLHell yearly Advent Calendar (of blog posts). He opens with the rule of least power: Choose the least powerful language suitable for a given purpose. That’s fun for us CSS nerds, because
Read moreASCII armor: send encrypted data in plain text
GNU ASCII armor is a way to encode binary data as text and decode the text back into binary. It could be used with any binary data, but most often it is used with cryptographic data: public keys, encrypted messages, etc. Secure communication over an insecure channel When people ask
Read moreThree types of AI-assisted programmers
What matters isn’t just whether you use it, but how.
Read moreTask Automation and Debugging with AI-Powered Tools
This introduction to task automation and debugging with AI tools is excepted from Generative AI Tools for Developers: A Practical Guide. Continue reading Task Automation and Debugging with AI-Powered Tools on SitePoint.
Read moreQuick Tip: Understanding React Tooltip
This article delves into the depths of React Tooltip, exploring its functionality, implementation, and best practices. Continue reading Quick Tip: Understanding React Tooltip on SitePoint.
Read moreOne weird trick for teaching users your software
Ben talks with James Evans, cofounder and CTO of CommandBar, an AI-powered user assistance platform, about the software usability challenges CommandBar wants to address, the evolution of the company’s natural language search bar, and the future of dynamic interfaces and universal agents.
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