The field of astronomy contains numerous unsolved problems and mysteries that continue to intrigue scientists and researchers. Here are some notable examples: 1. **Dark Matter**: While it is known that dark matter makes up a significant portion of the universe's mass, its exact nature remains unknown. What is dark matter made of? Various candidates like WIMPs (Weakly Interacting Massive Particles) and axions have been proposed, but none have been confirmed.
The stellar corona refers to the outermost layer of a star's atmosphere. In the case of our Sun, the corona is the layer that extends millions of kilometers into space and is characterized by its high temperatures and low densities. It is visible during a total solar eclipse as a halo of plasma surrounding the Sun.
Odd Radio Circles (ORCs) are a relatively recent discovery in astrophysics, first identified in 2020. They are large, circular, and faint radio-emitting structures in the sky, characterized by their unusual shapes and the absence of visible counterparts in other wavelengths, such as optical or infrared light. These enigmatic features have sparked considerable interest and research, as their exact nature and origins remain unclear.
SCP-06F6 is a fictional entity from the SCP Foundation, a collaborative writing project that features a collection of horror-themed stories surrounding anomalous objects, entities, or phenomena. Each SCP entry is assigned a unique number and typically includes a description, containment procedures, and documentation about the SCP.
The Bombieri–Lang conjecture is a concept in number theory that relates to the distribution of rational points on certain types of algebraic varieties. Specifically, it deals with the behavior of rational points on algebraic varieties defined over number fields and has implications for understanding the ranks of abelian varieties and the distribution of solutions to Diophantine equations. The conjecture can be stated in a few steps for certain types of varieties, particularly for curves and higher-dimensional varieties.
The Inscribed Square Problem refers to a geometric problem of finding the largest square that can be inscribed within a given shape, usually a convex polygon or a specific type of curve. The goal is to determine the dimensions and position of the square such that it fits entirely within the boundaries of the shape while maximizing its area.
The Fröberg conjecture, proposed by Anders Fröberg in 1981, is a conjecture in the field of algebraic geometry and commutative algebra. It deals with the study of the Betti numbers of a certain class of algebraic varieties, specifically focusing on the resolutions of certain graded modules.
The Fujita conjecture is a statement in the field of algebraic geometry, particularly concerning the minimal model program and the properties of algebraic varieties. Proposed by Takao Fujita in the 1980s, the conjecture pertains to the relationship between the ample divisor classes and the structure of the variety. Specifically, the Fujita conjecture relates to the growth of the dimension of the space of global sections of powers of an ample divisor.
The "List of unsolved problems in mathematics" refers to a collection of problems that remain unsolved despite being significant and well-studied in the field of mathematics. Many of these problems have withstood the test of time, eluding resolution by mathematicians for decades or even centuries.
The Second Neighborhood Problem is a concept in the field of graph theory and network analysis, particularly relevant in the study of social networks and community detection. It is often associated with the analysis of local structures within a network. In this context, the "first neighborhood" of a node refers to all directly connected nodes, meaning the immediate neighbors of that node. The "second neighborhood" extends this concept by considering the neighbors of those immediate neighbors.
The Grothendieck–Katz \( p \)-curvature conjecture is a conjecture in the field of algebraic geometry and number theory, particularly dealing with \( p \)-adic differential equations and their connections to the geometry of algebraic varieties. The conjecture is concerned with the behavior of differential equations over fields of characteristic \( p \), especially in relation to \( p \)-adic representations and the concept of \( p \)-curvature.
The Erdős–Ulam problem is a question in the field of combinatorial geometry, named after mathematicians Paul Erdős and George Ulam. The problem relates to the arrangement of points in Euclidean space and how subsets of those points can be grouped to form convex sets.
An M/G/k queue is a specific type of queueing model used in operations research and telecommunications to analyze systems where "customers" (or tasks or jobs) arrive, get serviced, and depart. The notation M/G/k provides insight into the characteristics of this queueing system: - **M**: Stands for "Markovian" or "memoryless" arrival process.
The Wall–SunSun prime is a special type of prime number that is defined in relation to a specific type of sequence known as the Fibonacci sequence. A Wall–SunSun prime is a prime number that can be expressed in the form \( F_{k+1} - 1 \), where \( F_k \) is the \( k \)-th Fibonacci number.
Moderation generally refers to the practice of avoiding extremes in behavior, consumption, or expression. It can be understood in various contexts: 1. **Diet and Nutrition**: In the context of diet, moderation involves consuming food and drink in reasonable amounts, avoiding overeating or excessive indulgence in particular foods.
Pressure measurement refers to the process of determining the force exerted by a fluid (liquid or gas) per unit area on a surface. It is a critical parameter in various fields, including engineering, meteorology, medicine, and manufacturing.
Vacuum distillation is a separation process that involves distilling a liquid under reduced pressure. By lowering the pressure, the boiling point of the liquid is decreased, which allows for the separation of components at lower temperatures. This technique is particularly useful for separating substances that are thermally sensitive, volatile, or have high boiling points that would decompose if heated to those temperatures at atmospheric pressure.

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