Published on: 2025-06-03 16:57:12
When I wrote about the length of file names in early Unix, I noted that inode numbers were unsigned 16-bit integers and thus you could only have at most 65,536 inodes in any given filesystem. Over on the Fediverse, JdeBP correctly noted that I had an off by one error. The original Unix directory entry format used a zero inode number to mark deleted entries, which meant that you couldn't actually use inode zero for anything (not even the root directory of the filesystem, which needed a non-zero i
Keywords: file inode number numbers zero
Find related items on AmazonPublished on: 2025-06-05 01:55:37
Almost 20 years ago, I wrote a textbook in real analysis called “Analysis I“. It was intended to complement the many good available analysis textbooks out there by focusing more on foundational issues, such as the construction of the natural numbers, integers, rational numbers, and reals, as well as providing enough set theory and logic to allow students to develop proofs at high levels of rigor. While some proof assistants such as Coq or Agda were well established when the book was written, fo
Keywords: exercises lean mathlib natural numbers
Find related items on AmazonPublished on: 2025-06-05 04:00:50
A shard of smooth bone etched with irregular marks dating back 20,000 years puzzled archaeologists until they noticed something unique – the etchings, lines like tally marks, may have represented prime numbers. Similarly, a clay tablet from 1800 B.C.E. inscribed with Babylonian numbers describes a number system built on prime numbers. As the Ishango bone, the Plimpton 322 tablet and other artifacts throughout history display, prime numbers have fascinated and captivated people throughout histor
Keywords: mersenne number numbers prime primes
Find related items on AmazonPublished on: 2025-06-10 17:07:01
is a news editor covering technology, gaming, and more. He joined The Verge in 2019 after nearly two years at Techmeme. Apple is going to change how it names its next set of major operating systems, Bloomberg reports. Instead of just notching up the version number, Apple will instead mark them by year. However, the numbers will apparently align with the year after the one the update is actually released in, similar to cars. That means that the next big iOS update will be iOS 26 instead of iOS
Keywords: 26 apple instead ios numbers
Find related items on AmazonPublished on: 2025-06-20 16:04:14
A few years ago, I wrote about how 'sort -V' can sort IPv4 addresses into their natural order for you. Even back then I was smart enough to put in that 'IPv4' qualification and note that this didn't work with IPv6 addresses, and said that I didn't know of any way to handle IPv6 addresses with existing command line tools. As far as I know, that remains the case today, although you can probably build a Perl, Python, or other language program that does such sorting for you if you need to do this re
Keywords: addresses ipv6 need numbers sort
Find related items on AmazonPublished on: 2025-06-28 00:37:55
This post is a more carefully thought out and peer reviewed version of a floating-point comparison article I wrote many years ago. This one gives solid advice and some surprising observations about the tricky subject of comparing floating-point numbers. A compilable source file with license is available. We’ve finally reached the point in this series that I’ve been waiting for. In this post I am going to share the most crucial piece of floating-point math knowledge that I have. Here it is: [Fl
Keywords: double float numbers pi sin
Find related items on AmazonPublished on: 2025-07-12 18:56:12
When I recently looked at the state of the art in floating point random number generation, I was surprised to see a common procedure in many programming languages and libraries that is not really a floating-point algorithm: Generate a random integer with bits chosen based on the precision of the format. Convert to floating point. Divide to produce an output between 0 and 1. In code, this looks like: 1 func ( r * Rand ) Float64 () float64 { 2 int64 rand_int = r . Int63n ( 1 << 53 ) 3 return fl
Keywords: floating number numbers point random
Find related items on AmazonPublished on: 2025-07-22 08:52:50
The Gist Editors' notes Mathematician solves algebra's oldest problem using intriguing new number sequences by University of New South Wales Norman Wildberger at his laptop. Credit: UNSW Sydney × close Norman Wildberger at his laptop. Credit: UNSW Sydney A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such as the degree two polynomial: 1 + 4x – 3
Keywords: method new numbers says wildberger
Find related items on AmazonPublished on: 2025-07-28 17:18:31
For years I’ve wanted to build a super-dense electronic-music compressor: keep only the loops and phase cues that really matter, then re-synthesise the track perfectly. Evenings and weekends, however, were never long enough to design the model, write the maths, and wrangle PyTorch. Recently I opened ChatGPT running the new o3 model and treated it as a design partner. If we could keep the conversation focused, perhaps we could sketch—and prototype—the entire idea in a single stretch. Co-designin
Keywords: grid numbers o3 occurrences patterns
Find related items on AmazonPublished on: 2025-08-09 09:24:53
Surprises in Logic John Baez April 4, 2016 There's a complexity barrier built into the very laws of logic: roughly speaking, while lots of things are more complex than this, we can't prove any specific thing is more complex than this. And this barrier is surprisingly low! Just how low? Read this. And then see what happens when combine this idea with the famous 'surprise examination paradox', also known as the 'unexpected hanging paradox'. Mathematically speaking, these ideas are called Chai
Keywords: natural numbers program standard theorem
Find related items on AmazonPublished on: 2025-08-10 20:25:19
If you ask a person on the street whether 1 is a prime number, they’ll probably pause, try to remember what they were taught, and say “no” (or “yes” or “I don’t remember”). Or maybe they’ll cross the street in a hurry. On the other hand, if you ask a mathematician, there’s a good chance they’ll say “That’s an excellent question” or “It’s kind of an interesting story…” Some people treat the non-primeness of 1 as a mathematical fact and nothing more, but those people are missing out on something
Keywords: domain number numbers prime primes
Find related items on AmazonPublished on: 2025-08-11 22:08:42
Well… you probably shouldn’t. This is my one rule: if my son ever says he doesn’t want to do math, we simply stop. No arguing, no bribing, no pushing. We do something else instead. Why? Because math is not a chore—it’s a way of experiencing the world. Just like tasting new food, enjoying music, or feeling amazed by nature, math should always feel like play, never like work. Kids are born explorers. They naturally want to discover new things, including math. My main goal is simply to keep that
Keywords: games just like math numbers
Find related items on AmazonPublished on: 2025-09-10 04:48:54
Elon Musk's Tesla has posted its first-quarter deliveries — and the numbers are even worse than analysts feared. The carmaker said it delivered 336,681 vehicles for the January-March period, a massive 13 drop from 386,810 cars over the same period last year. It's a rout, in other words, showing that rapidly growing competition and an international movement opposing Musk's politics are exerting considerable pressure on the once-ascendant electric carmaker. Sales haven't been this low since the
Keywords: company musk numbers percent tesla
Find related items on AmazonPublished on: 2025-09-24 03:26:05
authored by Premmi and Beguène Previous Topic: An Axiomatic Study of Numbers Introduction Thinking of numbers intuitively brings to mind the simplest and most fundamental set of numbers, namely the set of natural numbers. These numbers are used to count objects like cars, books, pens, etc. If we associate natural numbers such as 1, 2, 3, etc. with counting, then with what corresponding concepts do we relate numbers like -4, \sqrt{3} \text{ and } \frac{22}{7}? To reason about all kinds of num
Keywords: axioms mathbb natural numbers set
Find related items on AmazonPublished on: 2025-09-25 04:26:05
authored by Premmi and Beguène Previous Topic: An Axiomatic Study of Numbers Introduction Thinking of numbers intuitively brings to mind the simplest and most fundamental set of numbers, namely the set of natural numbers. These numbers are used to count objects like cars, books, pens, etc. If we associate natural numbers such as 1, 2, 3, etc. with counting, then with what corresponding concepts do we relate numbers like -4, \sqrt{3} \text{ and } \frac{22}{7}? To reason about all kinds of num
Keywords: axioms mathbb natural numbers set
Find related items on AmazonPublished on: 2025-10-02 12:42:35
The Pennsylvania State Education Association (PSEA), a labor union representing educators across the state, says hackers stole the sensitive personal information of more than half a million of its members. PSEA is the largest organization for educators in Pennsylvania, representing current and former teachers, counselors, health care workers, and school social workers. In a filing with Maine’s attorney general on Tuesday, PSEA said it experienced a cyberattack in July 2024 that saw an unauthor
Keywords: data hackers information numbers psea
Find related items on AmazonPublished on: 2025-10-03 16:53:25
US sperm donor giant California Cryobank is warning customers it suffered a data breach that exposed customers' personal information. California Cryobank is a full-service sperm bank providing frozen donor sperm and specialized reproductive services, such as egg and embryo storage. The company is the largest sperm bank in the US and services all 50 states and more than 30 countries worldwide. California Cryobank detected suspicious activity on its network on April 21, 2024, and isolated the co
Keywords: california data donor numbers sperm
Find related items on AmazonPublished on: 2025-10-07 14:20:02
Performance Benchmarks On a Hetzner CCX23 machine with 4 vCPU and 16GB RAM here are our numbers around throughput and GET/SET latencies when compared with other in-memory databases for `num_clients = 4`. | Metric | DiceDB | Redis | | -------------------- | -------- | -------- | | Throughput (ops/sec) | 15655 | 12267 | | GET p50 (ms) | 0.227327 | 0.270335 | | GET p90 (ms) | 0.337919 | 0.329727 | | SET p50 (ms) | 0.230399 | 0.272383 | | SET p90 (ms) | 0.339967 | 0.331775 | -> detailed benchmark
Keywords: ms numbers p90 set throughput
Find related items on AmazonPublished on: 2025-10-09 00:44:44
Cisco has patched a denial of service (DoS) vulnerability that lets attackers crash the Border Gateway Protocol (BGP) process on IOS XR routers with a single BGP update message. IOS XR runs on the company's carrier-grade, Network Convergence System (NCS), and Carrier Routing System (CRS) series of routers, such as the ASR 9000, NCS 5500, and 8000 series. This high-severity flaw (tracked as CVE-2025-20115) was found in the confederation implementation for the Border Gateway Protocol (BGP), and
Keywords: 24 bgp cisco numbers vulnerability
Find related items on AmazonPublished on: 2025-10-08 16:36:08
We don't need no stinkin' WebUSB! It turns out that there is a way for a web page to access USB devices without requiring WebUSB and its associated political disagreements! Not only that, a device can intentionally design itself to bypass all of the user consent requirements. Quick demo Load u2f-hax.uf2 onto a Raspberry Pi Pico (RP2040 version), and then load index.html from either localhost or another secure context. The "On!" and "Off!" buttons will toggle the LED, and the state of pin GP2
Keywords: devices dongle handle key numbers
Find related items on AmazonPublished on: 2025-10-10 01:00:00
Happy Pi Day! We celebrate pi on March 14 because 3-14 gives the first three digits of this famous number. But what’s the big deal about pi anyway? Why does it get a day? Well, for starters, it defines the simplest, most perfect shape, the circle. So it’s everywhere around you. Pi is the ratio of the circumference to the diameter of a circle: π = C/d. No matter how big or small a circle is, that ratio is always the same. In decimal notation, it’s 3.141592653 … aaand you can run that out as far
Keywords: irrational number numbers pi ratio
Find related items on AmazonPublished on: 2025-10-15 03:23:06
TL;DR New York Mobile has launched as a new nationwide MVNO on T-Mobile’s 5G network, offering customers the ability to choose their own phone numbers. The service allows users to pick from rare and customizable numbers, including sought-after New York area codes like 212, 718, and 917. The service targets individuals and businesses looking to personalize their phone numbers for branding or personal expression. A new player has entered the competitive wireless market, offering a unique servic
Keywords: mobile new number numbers york
Find related items on AmazonPublished on: 2025-10-28 19:32:18
Associations From IBM CGA Colours to Mnemonic Systems By Susam Pal on 07 Feb 2025 This is a vanity page that records some of the associations between various numbers, colours, and phonemes as they appear in my mind. I must mention here that I do not have synaesthesia. Many of these connections were shaped by childhood experiences. Notably, two unrelated influences, learning about computers and studying mnemonic systems, have played a significant role in forming these associations. Contents
Keywords: blue colour colours number numbers
Find related items on AmazonPublished on: 2025-11-04 10:35:00
So I sat down to write a recap of this week’s episode of Severance when I ran into a dilemma. Apple TV+, I mean “Lumon Industries,” released an in-browser game that lets you become a macrodata refiner like the characters on the show. Which, at first, I thought was dumb. But then I saw my numbers going up and well, I just kept going. And going. You can play yourself over at lumon-industries.com. There your computer will turn into a workstation from the MDR department on the severed floor at Lumo
Keywords: going industries lumon numbers severance
Find related items on AmazonPublished on: 2025-11-08 11:31:05
The Termite ransomware gang has claimed responsibility for breaching and stealing sensitive healthcare data belonging to Genea patients, one of Australia's largest fertility services providers. The IVF (in vitro fertilization) provider has been operating since 1986 (when it was known as Sydney IVF). It offers a wide range of services, including fertility treatments, tests, genetic services, preservation options, and donor programs, in 22 fertility clinics in New South Wales, South Australia, W
Keywords: data genea numbers ransomware termite
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