Shanghai Stadium is a multi-purpose stadium located in Shanghai, China. Opened in 1997, it serves primarily as a venue for football (soccer) matches and athletics events. The stadium has a seating capacity of around 56,000 spectators, making it one of the largest stadiums in the country. The stadium is notable for its unique architectural design, featuring a retractable roof and a distinctive, modern appearance.
Zhongshan Hospital is a prominent hospital located in Shanghai, China. It is affiliated with Fudan University and is known for its comprehensive medical services, research, and education. Established in 1907, the hospital is named after Dr. Sun Yat-sen, who is also known as Sun Zhongshan, a key figure in modern Chinese history. Zhongshan Hospital is noted for its advanced medical technologies, specialized departments, and highly qualified medical staff.
Ivan Vidav is a prominent mathematician known for his contributions to the fields of functional analysis and operator theory. He has worked on various mathematical concepts and has published research in journals related to these areas.
The Birch and Swinnerton-Dyer (BSD) conjecture is a fundamental hypothesis in number theory that relates the number of rational points on an elliptic curve to the behavior of an associated L-function. Specifically, it concerns the properties of elliptic curves defined over the rational numbers \(\mathbb{Q}\).
Zeta function universality is a concept that arises in number theory and mathematical analysis, specifically related to the Riemann zeta function and its connections to the distribution of prime numbers. The universality aspect refers to the idea that the zeros of the Riemann zeta function exhibit certain universal statistical properties that resemble the eigenvalues of random matrices.
The Artin conductor is a concept from algebraic number theory, specifically in the study of Galois representations and local fields. It is a tool used to measure the ramification of a prime ideal in the extension of fields, particularly in the context of class field theory.
The Lindelöf hypothesis is a conjecture in number theory, specifically related to the distribution of prime numbers and the Riemann zeta function. Proposed by the Swedish mathematician Ernst Lindelöf in 1908, it posits that the Riemann zeta function \(\zeta(s)\) has a certain bounded behavior for complex numbers \(s\) in the critical strip, where the real part of \(s\) is between 0 and 1.
Montgomery's pair correlation conjecture is a conjecture in number theory related to the distribution of the zeros of the Riemann zeta function. Specifically, it addresses the statistical behavior of the spacings or differences between the imaginary parts of these zeros. The conjecture was proposed by mathematician Hugh Montgomery in the 1970s.
The multiple zeta function is a generalization of the classical Riemann zeta function, which plays a significant role in number theory and mathematical analysis. The classical Riemann zeta function is defined for complex numbers \( s \) with real part greater than 1 as: \[ \zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}. \] The multiple zeta function extends this idea to multiple variables.
The Ruelle zeta function is a significant concept in dynamical systems and statistical mechanics, particularly in the study of chaotic systems and ergodic theory. It arises in the context of hyperbolic dynamical systems and is used to explore the statistical properties of these systems. ### Definition For a given dynamical system, particularly a hyperbolic system, the Ruelle zeta function is typically defined in relation to the periodic orbits of the system.
Selberg's zeta function conjecture is a concept from analytic number theory that is concerned with the properties of certain types of zeta functions associated with discrete groups, particularly in the context of modular forms and Riemann surfaces. The conjecture, proposed by the mathematician A.
Weil's criterion is a fundamental result in algebraic geometry and number theory, particularly in the study of algebraic varieties over finite fields. Specifically, it is used to count the number of points on algebraic varieties defined over finite fields. The criterion is most famously associated with André Weil's work in the mid-20th century and is related to the concept of zeta functions of varieties over finite fields.
Mika Oguma is a name that might refer to a specific individual, fictional character, or perhaps a brand or concept that has emerged in popular culture or media. However, without more context, it's difficult to provide a precise answer.
Qijue, also known as Qi Jue (七绝), refers to a specific form of Chinese poetry, which is commonly known as the "Seven-character Quatrain." This poetic structure consists of four lines, each containing seven characters or syllables. The typical rhyme scheme for Qijue is AABA, with tones that follow the rules of classical Chinese poetry.
A qubit, or quantum bit, is the fundamental unit of quantum information in quantum computing. Unlike a classical bit, which can represent a value of either 0 or 1, a qubit can exist in a superposition of both states at the same time. This property allows quantum computers to perform complex calculations more efficiently than classical computers for certain problems.
"Sestain" is not a widely recognized term in English literature or common language. It's possible that you might be referring to "sestet," which is a term used in poetry to describe a stanza or a poem of six lines, often found in sonnets.
A **Tanaga** is a traditional Filipino poem that consists of four lines, each with seven syllables. It often features a rhyme scheme, typically of AAAA, AABB, or ABAB. Tanagas usually express themes of love, nature, or moral lessons and can be both humorous and serious in tone. The Tanaga form is significant in Filipino culture and literature, showcasing both linguistic skills and artistic expression.
In Hindu and Buddhist cosmology, a "Kalpa" is a vast measure of time, often described as an epoch or a cosmic cycle. In Hindu texts, one Kalpa is equivalent to 1,000 cycles of the four Yugas, which are the ages of the world: Satya Yuga (the age of truth), Treta Yuga, Dvapara Yuga, and Kali Yuga (the age of darkness).

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