Area of quadrilateral as a determinant
I’ve written several posts about how determinants come up in geometry. These determinants often look similar, having columns related to coordinates and a column of ones. You can find several examples here along with an explanation for this pattern. If you have three points z1, z2, and z3 in the
Read moreElevate Your Online Store with Top WooCommerce Plugins
Our streamlined guide compares crucial features, usability, and value-for-money to help you choose the plugins that fit your specific needs. Continue reading Elevate Your Online Store with Top WooCommerce Plugins on SitePoint.
Read moreA very accurate logarithm approximation
The previous post looked at an efficient way to approximate nth roots of fractions near 1 by hand. This post does the same for logarithms. As before, we assume x = p/q and define s = p + q d = p − q Because we’re interested in values of
Read moreApproximate roots of fractions
This post will discuss a curious approximation with a curious history. Approximation Let x be a number near 1, written as a fraction x = p / q. Then define s and d as the sum and difference of the numerator and denominator. s = p + q d =
Read moreDown the rabbit hole in the Stack Exchange network
On this home team episode: Discussions on Stack Overflow is a new feature that allows users to engage in open-ended conversations outside the site’s primary Q&A structure. The team explores deep-cut Stack Exchange questions about the nature of consciousness and the availability of corrective lenses for medieval knights. Plus: The
Read moreUncovering names masked with stars
Sometimes I’ll see things like my name partially concealed as J*** C*** and think “a lot of good that does.” Masking letters reveals more than people realize. For example, when you see that someone’s first name is four letters and begins with J, there’s about a 70% chance they’re male
Read moreAlmost ASCII
I was working recently with a gigabyte file that had a dozen non-ASCII characters. This is very common. The ASCII character set is not quite big enough for a lot of tasks. Of course it’s completely inadequate if you’re writing Japanese, but it’s almost enough for documents written in English
Read moreA knight’s tour of an infinite chessboard
Let ℤ² be the lattice of points in the plane with integer coordinates. You could think of these points as being the centers of the squares in a chessboard extending to infinity in every direction. Cantor tells us that the points in ℤ² are countable. What’s more surprising is that
Read moreUnleash Your Website’s Potential: Top 5 SEO Tools of 2024
Discover the pros and cons of the top SEO tools of 2024. This article provides the essential details you need to choose. Continue reading Unleash Your Website’s Potential: Top 5 SEO Tools of 2024 on SitePoint.
Read moreHow to Build a Chat Interface using Gradio & Vultr Cloud GPU
Learn how to use Gradio, a Python library, to create customizable interfaces and share them conveniently using a public link for other users. Continue reading How to Build a Chat Interface using Gradio & Vultr Cloud GPU on SitePoint.
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