Updates Updated +Created
Search engine optimization Updated +Created
PayPal founder Updated +Created
Bicycle tire sizes Updated +Created
Yes, Sheldon he has separate American and British English versions of pages!!!
For example, Kross bicycle (2017) had a Schwalbe tyre with markings:
42-622 (28 x 1.60, 700x40C)
When inflated, the tires were about 3.5cm wide as measured with a ruler.
And the Mavic A319 rim had markings:
622x19C
In this:
Taylor series Updated +Created
Elliptic curve primality Updated +Created
Polynomial time for most inputs, but not for some very rare ones. TODO can they be determined?
But it is better in practice than the AKS primality test, which is always polynomial time.
Kernel vs process memory layout Updated +Created
The Linux Kernel reserves two zones of virtual memory:
  • one for kernel memory
  • one for programs
The exact split is configured by CONFIG_VMSPLIT_.... By default:
  • on 32-bit:
    • the bottom 3/4 is program space: 00000000 to BFFFFFFF
    • the top 1/4 is kernel memory: C0000000 to FFFFFFFF, like this:
      ------------------ FFFFFFFF
      Kernel
      ------------------ C0000000
      ------------------ BFFFFFFF
      
      
      Process
      
      
      ------------------ 00000000
  • on 64-bit: currently only 48-bits are actually used, split into two equally sized disjoint spaces. The Linux kernel just assigns:
    • the bottom part to processes 00000000 00000000 to 008FFFFF FFFFFFFF
    • the top part to the kernel: FFFF8000 00000000 to FFFFFFFF FFFFFFFF, like this:
      ------------------ FFFFFFFF
      Kernel
      ------------------ C0000000
      
      
      (not addressable)
      
      
      ------------------ BFFFFFFF
      Process
      ------------------ 00000000
Kernel memory is also paged.
SSL certificate Updated +Created
The CGI comms websites contain the only occurrence of HTTPS, so it might open up the door for a certificate fingerprint as proposed by user joelcollinsdc at: news.ycombinator.com/item?id=36280801!
crt.sh appears to be a good way to look into this:
They all appear to use either of:
  • Go Daddy
  • Thawte DV SSL CA
  • Starfield Technologies, Inc.
Let's try another one for secure.altworldnews.com: search.censys.io/certificates/e88f8db87414401fd00728db39a7698d874dbe1ae9d88b01c675105fabf69b94. Nope, no direct mega hits here either.
Asthma Updated +Created
2023 laptop buy research Updated +Created
The P51 is a bit too heavy, and the battery could be better!
Discrete Fourier transform Updated +Created
Input: a sequence of complex numbers .
Output: another sequence of complex numbers such that:
Intuitively, this means that we are braking up the complex signal into sinusoidal frequencies:
  • : is kind of magic and ends up being a constant added to the signal because
  • : sinusoidal that completes one cycle over the signal. The larger the , the larger the resolution of that sinusoidal. But it completes one cycle regardless.
  • : sinusoidal that completes two cycles over the signal
  • ...
  • : sinusoidal that completes cycles over the signal
and is the amplitude of each sine.
We use Zero-based numbering in our definitions because it just makes every formula simpler.
Motivation: similar to the Fourier transform:
  • compression: a sine would use N points in the time domain, but in the frequency domain just one, so we can throw the rest away. A sum of two sines, only two. So if your signal has periodicity, in general you can compress it with the transform
  • noise removal: many systems add noise only at certain frequencies, which are hopefully different from the main frequencies of the actual signal. By doing the transform, we can remove those frequencies to attain a better signal-to-noise
In particular, the discrete Fourier transform is used in signal processing after a analog-to-digital converter. Digital signal processing historically likely grew more and more over analog processing as digital processors got faster and faster as it gives more flexibility in algorithm design.
Sample software implementations:
Figure 1.
DFT of with 25 points
. This is a simple example of a discrete Fourier transform for a real input signal. It illustrates how the DFT takes N complex numbers as input, and produces N complex numbers as output. It also illustrates how the discrete Fourier transform of a real signal is symmetric around the center point.
Modular multiplication Updated +Created
Theoretical Physics Reference by Ondrej Certík Updated +Created
The only one on GitHub. In RST and renders to HTML with image formulas.
Too "direct formula overload" at first look.
By the creator of SymPy, who works at Los Alamos National Laboratory and has a PhD in chemical physics: swww.linkedin.com/in/ondřej-čertík-064b355b/ Man, big kudos to this dude.
Politics of the United States Updated +Created
Computer hardware component type Updated +Created
Real coordinate space of dimension three Updated +Created
Real projective line Updated +Created
Just a circle.
Take with a line at . Identify all the points that an observer
Anime Updated +Created
Mitochondrion Updated +Created

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