Computational number theory is a branch of number theory that focuses on the use of algorithms and computational techniques to solve problems related to integers and their properties. It encompasses a wide range of topics, including but not limited to: 1. **Primality Testing**: Developing algorithms to determine whether a given number is prime. Techniques such as the Miller-Rabin test and the AKS primality test are examples in this area.
In graph theory, conductance is a measure that indicates how well a graph can conduct flow between its parts. It is typically used in the context of studying random walks or the mixing properties of a graph. Conductance helps understand how well connected different regions (or communities) of a graph are.
Confidence weighting is a concept used in various fields, including statistics, machine learning, and decision-making, to assign different levels of influence or importance to different pieces of information based on the perceived reliability or certainty of that information. The idea is to give more weight to information that is deemed to be more credible or accurate while down-weighting less reliable sources.
David Sosa can refer to multiple individuals, but one notable person is David Sosa, a philosopher known for his work in the philosophy of language, mind, and epistemology. He is a professor at the University of Maryland.
David Manolopoulos is not a widely recognized figure in popular media or historical contexts, so it is possible that you are referring to a specific individual who may have a local or niche relevance. Without additional context, it is difficult to provide an accurate description or significance of David Manolopoulos.
A quasitoric manifold is a type of manifold that can be described as a generalization of toric varieties. More precisely, quasitoric manifolds are smooth, even-dimensional manifolds that admit a smooth action by a torus (usually denoted as \( T^n \), where \( n \) is the dimension of the manifold) and have a specific relationship with combinatorial data represented by a simple polytope.
As of my last update in October 2023, there is no widely recognized figure, concept, or term specifically known as "Demetrios Magiros" in major historical, cultural, or contemporary contexts. It’s possible that this name refers to a private individual or a less well-known person. If you could provide more context or clarify the area (e.g., history, geography, arts, etc.
Racah polynomials are a family of orthogonal polynomials that arise in the context of quantum mechanics and algebra, particularly in the study of angular momentum and the representation theory of the symmetric group. They are named after the physicist Gregorio Racah, who introduced them in the context of coupling angular momenta in quantum physics. ### Properties and Characteristics 1.
Edward N. Zalta is a philosopher known for his work in metaphysics, epistemology, and the philosophy of language. He is perhaps best known for his contributions to modal logic and the development of the "Zalta's theory of abstract objects," which deals with the nature of abstract entities, such as numbers and propositions. In addition to his academic work, he is recognized for his role in maintaining the Stanford Encyclopedia of Philosophy, where he has contributed to issues in philosophy and related fields.
In category theory, an **essential monomorphism** is a special type of morphism that captures the idea of "injectivity" in a broader categorical context.
In mathematics, "ramification" typically refers to the way a mathematical object behaves as it is extended or generalized, often in the context of field theory or algebraic geometry. The term is used in a few specific contexts, notably in: 1. **Field Theory**: In the context of number fields or function fields, ramification describes the behavior of prime ideals in an extension of fields.
History of science by Ciro Santilli 40 Updated 2025-07-16
If there is one thing that makes Ciro Santilli learn German, this is it (the Romance language are all the same, so reading them is basically covered for Ciro already).

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