In a general context, the term "series" can refer to different concepts depending on the field or discipline: 1. **Mathematics**: A series is the sum of the terms of a sequence. For example, the infinite series \( S = a_1 + a_2 + a_3 + ... \) can converge to a specific value or diverge. A well-known example is the geometric series or the Taylor series used in calculus.
Itô isometry is a fundamental concept in the theory of stochastic calculus, particularly in the context of Itô integrals. It provides an important relationship between the Itô integral and the expected value of the square of a stochastic process. Specifically, it states that the Itô integral preserves the inner product structure associated with the underlying probability space.
Setun is a computer that was developed in the Soviet Union in the 1950s. It is notable for being one of the first computers to utilize a ternary number system, which uses three digits (0, 1, and 2) instead of the binary system (0 and 1) that most modern computers use. The Setun computer was designed by a team led by Soviet scientist Sergei Alexeyevich Lebedev at the Moscow Institute of Electronic Machine Engineering.
The term "solar equator" typically refers to the imaginary line that represents the midpoint of the solar disk as seen from a particular viewpoint, such as from Earth or in the context of solar physics. In a more specific sense, within solar physics, it can also refer to the plane that bisects the Sun into the northern and southern hemispheres, analogous to the Earth's equator.
QuantLib is an open-source library for quantitative finance, primarily used for modeling, trading, and risk management in financial markets. It is written in C++ and provides a comprehensive suite of tools for quantitative analysis, including: - **Interest rate models**: Facilities for modeling and analyzing interest rate derivatives. - **Options pricing models**: Various methodologies for pricing different types of options, including European, American, and exotic options.
Nothing makes the fact that your life is an illusion clearer than animations of molecular biology processes. You just have no idea what is going on inside your own body right now!
And don't get Ciro Santilli started on the brain and the impossibility of free will.
And yet, we live, oblivious to all of it.
Video 1.
ATP synthase in action by HarvardX (2017)
Source.
Video 2.
Electron transport chain by HarvardX (2017)
Source. This actually explains how mitochondrions use sugar derivatives and oxygen to transform ADP into ATP.
Video 3.
The Inner Life of the Cell by XVIVO Scientific Animation (2011)
Source. Also created for BioVisions from Harvard University apparently like other amazing videos. It also has the best music.
Video 4.
DNA animations by wehi.tv for Science-Art exhibition by WEHImovies (2018)
Source.
Video 5.
Dengue virus Invades a Cell by XVIVO Scientific Animation (2008)
Source. Reupload by the MRC Laboratory of Molecular Biology, which was reuploaded from www.pbslearningmedia.org/resource/den08.sci.life.stru.dengue/dengue-virus-invades-a-cell/ which was reuploaded from wherever crazy place XVIVO put it.
Unipept is a web-based platform designed for the analysis and interpretation of mass spectrometry-based peptide sequencing data. It provides tools for researchers to visualize and explore protein sequences, identify peptides, and understand their biological implications. Unipept allows users to input their mass spectrometry data, and it helps them identify proteins, visualize peptide occurrence and variability, and explore functional annotations.

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