The Dwork conjecture is a hypothesis in the field of arithmetic algebraic geometry, particularly concerning the interplay between p-adic analysis and the theory of algebraic varieties. It was proposed by the mathematician Bernard Dwork in the context of understanding the zeta function of a family of algebraic varieties over finite fields.
An "undervote" refers to a situation in an election where a voter does not select a candidate for a particular office on the ballot, even though they have cast a vote for other races or issues. This can occur for various reasons, such as a lack of preference for any of the candidates, confusion about the ballot, or overlooking that specific section of the ballot altogether. Undervotes can be significant in elections, as they may affect the outcome, particularly in close races.
The term "ideal surface" can refer to several concepts depending on the context in which it is used. Here are a few common interpretations: 1. **In Physics and Engineering**: - An ideal surface can refer to a theoretical surface that has no imperfections, roughness, or other irregularities. In the context of fluid dynamics, for instance, an ideal surface may be one that allows for perfect laminar flow without turbulence.
A **locally constant function** is a type of function that is constant within a localized region of its domain.
Tsume shogi is a type of puzzle in shogi (Japanese chess) that focuses on finding a sequence of moves leading to checkmate. In tsume shogi, the problem typically presents a scenario where one player, the "shiro" (white) or "kuro" (black), must deliver checkmate in a specified number of moves, regardless of the opponent's responses. The puzzles vary in complexity and can involve different pieces and arrangements on the board.
Baseband refers to a communication method where the original signal is transmitted over a medium without modulation onto a carrier frequency. In simpler terms, baseband signals are the original signals that utilize the entire bandwidth of the communication medium to carry information. Baseband can apply to various contexts, including: 1. **Data Transmission**: In networking, baseband transmission means that the entire bandwidth of the medium (like a coaxial cable or twisted pair cable) is used for a single communication channel.
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.
More info at: docs.ourbigbook.com#ourbigbook-web-topics
This website basically aims to be a learning management system, allowing in particular a teacher to focus his help on students that he is legally obliged to help due to their job. But it will have the following unusual characteristics in current LMS solutions:
- public first, to allow reuse across universities, rather than paywalled as is the case for most top universities
- students can create material just like teachers, both are on equal footing. Students/teachers will see an indicator "this is your teacher"/"this is your student for this/past semester", but that is the only difference between their interfaces.
It would be really cool to have a PageRank-link algorithm that answers the key questions:However, Ciro has decided to leave this for phase two action plan, because it is impossible to tune such an algorithm if you have no users or test data.
- what is the best content for subject X.For example, if you are reading
cirosantilli/riemann-integraland it is crap, you would be able to click the buttonwhich leads you to the URL: ourbigbook.com/subject/mathematics. This URL then contains a list of all pages people have written about the subjectVersions by other authors
mathematics, sorted by some algorithm, containing for example: - who knows the most about subject X. This can be found by visiting: ourbigbook.com/users/mathematics "Top Mathematics users", which would contain the list of users sorted by the algorithm:
Perhaps it is also worth looking into ExpertRank, they appear to do some kind of "expert in this area", but with clustering (unlike us, where the clustering would be more explicit).
Other dump of things worth looking into:
Maybe focus on job ads like Stack Overflow.
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.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





