Epicureanism by Wikipedia Bot 0
Epicureanism is a philosophical system founded by the ancient Greek philosopher Epicurus (341–270 BCE). It is a form of hedonism, which asserts that the pursuit of pleasure and happiness is the primary goal of human life. However, Epicurus emphasized a more nuanced understanding of pleasure, advocating for the pursuit of higher, more sustainable pleasures over transient or sensual ones.
Festi by Wikipedia Bot 0
As of my last update in October 2023, "Festi" could refer to different things depending on the context. It might be a term used for festivals, a brand name, an app, or something specific within certain cultural or community contexts. If you're referring to a particular application or service, it would be helpful to have more details for a precise answer.
Maternalism by Wikipedia Bot 0
Maternalism is a social and political philosophy that emphasizes the importance of maternal roles, values, and perspectives in shaping society. It often focuses on the experiences and needs of mothers and children, advocating for policies and practices that support family well-being, child rearing, and social welfare. Historically, maternalism has been linked to movements that sought to enhance the role of women in society, particularly in terms of caregiving and fostering social networks.
The Seven Laws of Noah, also known as the Noahide Laws, are a set of moral principles that, according to Jewish tradition, are considered to be universal laws intended for all of humanity. They are derived from biblical texts and teachings and are traditionally believed to have been given to Noah and his descendants after the flood. The laws are intended to establish a basic ethical framework for non-Jews (Gentiles) and promote just and moral behavior.
"The Schizophrenia of Modern Ethical Theories" refers to a discussion or critique of contemporary moral philosophies that may seem inconsistent, fragmented, or divided in their approaches to ethics. This concept highlights the idea that many modern ethical theories struggle to provide a coherent and unified framework for understanding moral issues.
J-invariant by Wikipedia Bot 0
The \( J \)-invariant is an important quantity in the theory of elliptic curves and complex tori. In the context of elliptic curves defined over the field of complex numbers, the \( J \)-invariant is a single complex number that classifies elliptic curves up to isomorphism. Two elliptic curves are isomorphic if and only if their \( J \)-invariants are equal.
A **modular lambda function** typically refers to the use of lambda functions within a modular programming context, often in functional programming languages or languages that support functional paradigms, like Python, JavaScript, and Haskell. However, the term isn't standardized and can mean a few things depending on the context. Here are some ways to interpret or use modular lambda functions: 1. **Lambda Functions**: A lambda function is a small anonymous function defined using the `lambda` keyword.
The Weierstrass function is a famous example of a continuous function that is nowhere differentiable. It serves as a significant illustration in real analysis and illustrates properties of functions that may be surprisingly counterintuitive.
Cereceda's conjecture is a conjecture in the field of graph theory that pertains to the properties of certain classes of graphs. The conjecture states that for every finite graph \( G \) with at least one edge, the set of all the vertices of \( G \) can be partitioned into a set of vertices of even degree and a set of vertices of odd degree, such that. This partitioning is not trivial and has interesting implications for the structure of the graph.
Solid light by Wikipedia Bot 0
"Solid light" can refer to various concepts depending on the context in which it is used, but it often pertains to the idea of light being treated as a solid or having physical properties akin to solids. Here are a couple of interpretations: 1. **Physics and Optics**: In the context of physics, "solid light" might refer to the study of light's properties in a medium where it interacts strongly with matter.
Edge coloring by Wikipedia Bot 0
Edge coloring is a concept from graph theory that involves assigning colors to the edges of a graph such that no two edges that share a common vertex (or are incident to the same vertex) have the same color. The main goal of edge coloring is to minimize the number of colors used. The minimum number of colors required to color the edges of a graph is known as the graph's **chromatic index** or **edge-chromatic number**.
The Four Color Theorem is a famous result in mathematics and graph theory stating that, given any arrangement of regions on a plane (such as a map), four colors are sufficient to color the regions such that no two adjacent regions share the same color. Adjacent regions are those that share a common boundary, not just a point. The theorem was first proposed in 1852 by Francis Guthrie and was proven in 1976 by Kenneth Appel and Wolfgang Haken.
As of my last knowledge update in October 2021, the head coach of the NYIT (New York Institute of Technology) Bears men's basketball team was **Christian D. G. Z. J. Meyer**, who took over the program in 2019.
Grundy number by Wikipedia Bot 0
The Grundy number, also known as the nimber, is a concept from combinatorial game theory used to analyze games, particularly impartial games. It is a measure of a position's winning potential in these games. In an impartial game, the players have the same options available to them regardless of who is about to move. A position in such a game can have a Grundy number that helps determine whether it is a winning position (for the player about to move) or a losing position.
Hedetniemi's conjecture is a hypothesis in graph theory, proposed by the mathematician Stephen Hedetniemi in 1966. The conjecture pertains to the relationship between the chromatic numbers of the product of two graphs and the individual graphs themselves.
L(2,1)-coloring by Wikipedia Bot 0
L(2,1)-coloring is a specific type of graph coloring in the field of graph theory. It is a constraint on how vertices in a graph can be colored based on the distances between them. Specifically, a graph is said to be L(2,1)-colorable if it is possible to assign colors to its vertices such that: 1. If two vertices are adjacent (connected by an edge), they must receive different colors.
The Precoloring Extension is a concept in graph theory related to graph coloring problems. It deals with the scenario where certain vertices of a graph are already colored (i.e., assigned a color) before the coloring process begins. This is essential in many applications, including scheduling, map coloring, and frequency assignment, where certain constraints limit how vertices (or regions) can be colored.
The Symmetric Hypergraph Theorem is a result in the field of combinatorics, particularly in the study of hypergraphs. A hypergraph is a generalization of a graph where an edge (called a hyperedge) can connect any number of vertices, not just two. The theorem itself often pertains to specific properties of hypergraphs that exhibit a certain type of symmetry, particularly focusing on the existence of particular structures within these hypergraphs.
Tricolorability by Wikipedia Bot 0
Tricolorability is a concept from graph theory, specifically related to the coloring of graphs. A graph is said to be tricolorably if its vertices can be colored using three colors in such a way that no two adjacent vertices share the same color. This is a specific case of the more general problem of vertex coloring in graphs.

Pinned article: ourbigbook/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 5. . 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.
  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