The Silverman-Toeplitz theorem is a result in functional analysis and operator theory concerning the convergence of certain types of series of bounded linear operators. Specifically, it addresses the behavior of a series of projections in a Hilbert space. The theorem can be stated as follows: Let \( H \) be a Hilbert space and let \( \{ P_n \} \) be a sequence of orthogonal projections in \( H \).
Simone Gutt may not refer to a widely recognized person or concept in popular discourse, statistics, or major works as of my last update in October 2023. It's possible that "Simone Gutt" is related to a specific individual, character, or niche topic that hasn't gained widespread recognition.
Single-molecule real-time (SMRT) sequencing is a powerful DNA sequencing technology developed by Pacific Biosciences (PacBio). It enables the direct observation of DNA synthesis by observing individual DNA polymerase molecules as they incorporate nucleotides into a growing DNA strand in real time. This method provides several advantages over traditional sequencing techniques, making it particularly useful for a variety of genomic applications.
"Singularity" is a science fiction novel by Dutch author and architect, B.M. deSmedt. The story explores themes of artificial intelligence, consciousness, and the implications of advanced technology on society. Set in a near-future world, it follows characters as they navigate the challenges and moral dilemmas posed by rapidly advancing AI and its integration into human life.
Mouse brain by Ciro Santilli 40 Updated 2025-07-16
Video 1.
A Simulated Mouse Brain in a Virtual Mouse Body by Human Brain Project (2015)
Source. Nice brain-in-the-loop.
Human brain by Ciro Santilli 40 Updated 2025-07-16
Ciro Santilli feels it is not for his generation though, and that is one of the philosophical things that saddens him the most in this world.
On the other hand, Ciro's playing with the Linux kernel and other complex software which no single human can every fully understand cheer him up a bit. But still, the high level view, that we can have...
Figure 1. Source.
  • 1: Ventriculus lateralis, Cornu frontale
  • 2: Ventriculus lateralis, Pars centralis
  • 3: Calcar avis
  • 4: Ventriculus lateralis, Cornu occipitale
  • 5: Trigonum collaterale
  • 6: Eminentia collateralis
  • 7: Hippocampus
  • 8: Ventriculus lateralis, Cornu temporale
  • 9: Capsula interna
  • 10: Nucleus caudatus
Roderick Chisholm (1916–2009) was an influential American philosopher, best known for his work in epistemology, metaphysics, and philosophy of mind. He is particularly recognized for his contributions to the study of knowledge, belief, and perception, as well as for his staunch defense of a version of realism and the concept of "agent causation." Chisholm also explored concepts such as personal identity, free will, and moral responsibility.
Marcello Barbieri is an Italian biologist and a prominent figure in the field of biosemiotics, which is the study of communication and sign processes in living systems. He has contributed to various areas of research, including the philosophical implications of biological processes, the relationship between life and information, and the origins of biosemiotic systems in living organisms. Barbieri has published numerous articles and books, discussing how biological phenomena can be understood through the lens of signs and meanings.
The 126th meridian west is a line of longitude that is 126 degrees west of the Prime Meridian, which is designated at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several regions in North America, including parts of Canada and the United States. In the United States, the 126th meridian west primarily runs through the state of Alaska, where it crosses the Aleutian Islands.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact