Computing square root floor
Given an integer n, suppose you want to compute ⌊√n⌋, the greatest integer less than or equal to the square root of n. One reason you may want to compute ⌊√n⌋ is to know when you can stop trial division when factoring n. Similarly, ⌊√n⌋ gives you a starting point
Read MoreGroups of order 2024
This time last year I wrote about groups of order 2023 and now I’d like to do the same for 2024. There are three Abelian groups of order 2024, and they’re not hard to find. We can factor 2024 = 8 × 11 × 23 and so the Abelian groups
Read MoreGovernment Virtual Schools: The Answer to Education Infrastructure Budget Cuts
Classroom demand for 2024 exceeds available space at schools across the country. Compounding the problem is the slashing of school infrastructure allocations by R1.7billion, which according to Equal Education, could have easily provided 2,991 additional classrooms. And while technology could enable more students to participate in basic education without having
Read MoreWeak encryption and surveillance
Two of the first things you learn in cryptography are that simple substitution ciphers are very easy to break, and that security by obscurity is a bad idea. This post will revisit both of these ideas. Security depends on your threat model. If the threat you want to protect against
Read MoreWhat a long, strange year it’s been in enterprise tech news
Looking back at the top enterprise news stories of the year, it's clear that generative AI dominated, but it wasn't the only news. © 2023 TechCrunch. All rights reserved. For personal use only.
Read MoreDiscover the Best: Top 5 Music Streaming Platforms in South Africa
Music streaming provides a convenient way to enjoy music on your devices, and in South Africa, several platforms offer diverse features, prices, and catalogs. Here are the top 5 music streaming platforms in South Africa: 1. Deezer: – French streaming service with 70 million songs, podcasts, and playlists. – Free
Read MoreI guess I’m a projector person now?
I’ve been one of the those “I don’t own a TV” people for a long time. Really my entire adult life, excepting those times when I shared my living space with someone who brought their own to the party. My exact motivation is a bit hazy all these years later,
Read MoreAmazon Echo Frames review, MrBeast jumps the shark and the Apple Watch gets un-banned
Hey, folks, and welcome to Week in Review (WiR), TechCrunch’s regular newsletter recapping the week that was in tech. Typically, the stretch between Christmas and New Year’s tends to be on the sleepier side — but that wasn’t the case in 2023. Fortunately, the TC crew was around to document
Read MoreRemembering the startups we lost in 2023
Not every startup collapse is an FTX or Theranos. They don’t all burn so brightly and explode so spectacularly. More often than not, there won’t be some high-profile court case and prison time. Amanda Seyfried isn’t going to play you in the made for Hulu movie. The story of most
Read MoreCompany executives can ensure generative AI is ethical with these steps
Making good choices now will allow leaders to future-proof their business and reap the benefits of AI while boosting the bottom line. © 2023 TechCrunch. All rights reserved. For personal use only.
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