The International Society of Electrochemistry (ISE) is a professional organization dedicated to the advancement and promotion of electrochemical science and technology. Founded in 1949, the ISE serves as a platform for researchers, educators, and professionals in the field of electrochemistry to share knowledge, collaborate on research, and disseminate new findings. The society organizes events, including annual meetings and symposia, where members can present their research, attend lectures, and network with other professionals.
A proton conductor is a material that allows protons (H⁺ ions) to move through it with high ionic conductivity. In the context of electrochemistry and fuel cell technology, proton conductors are crucial because they facilitate the transport of protons from the anode to the cathode, enabling the conversion of chemical energy into electrical energy.
Fictional nuclear physicists are characters in literature, film, television, video games, and other forms of media who are portrayed as experts in the field of nuclear physics. These characters often play pivotal roles in stories involving scientific discoveries, ethical dilemmas related to nuclear energy, weapons development, or disasters. Their expertise may drive the plot forward, create tension, or serve as a vehicle for exploring complex themes related to science and society.
Doctor Doom, whose real name is Victor Von Doom, is a fictional supervillain appearing in American comic books published by Marvel Comics. Created by writer Stan Lee and artist Jack Kirby, he made his first appearance in "The Fantastic Four" #5 in 1962. Doom is one of the arch-nemeses of the superhero team the Fantastic Four and is widely regarded as one of Marvel's most iconic villains.
The torsion tensor is a mathematical object that arises in differential geometry and is used in the context of manifold theory, especially in connection with affine connections and Riemannian geometry. It provides a way to describe the twisting or non-symmetries of a connection on a manifold. ### Definition In general, a connection on a manifold defines how to compare tangent vectors at different points, allowing us to define notions such as parallel transport and differentiation of vector fields.
John Call Cook is a relatively obscure figure, and there isn't much widely available information about him. It's possible that you might be referring to a specific person known for a certain achievement or within a certain niche, but as of my last update in October 2023, I couldn't find notable references to anyone by that exact name. If you can provide additional context or clarify the domain (e.g.
John Edwin Field (1799–1860) was an English landscape painter, known for his romantic and idealized depictions of nature. He was part of the English art scene in the early 19th century and contributed to the genre of landscape art that emphasized the beauty and majesty of the natural world. Field's work often featured serene and picturesque landscapes, characterized by a soft color palette and a focus on light and atmosphere.
Mike Williams is a physicist known for his work in the field of physics, though specific contributions may vary depending on the context. Without further details, it's difficult to pinpoint which Mike Williams you may be referring to, as there could be multiple physicists with that name.
A hypergraph is a generalization of a graph in which an edge can connect more than two vertices. While in a typical graph, an edge connects exactly two vertices, a hyperedge in a hypergraph can connect any number of vertices. This makes hypergraphs a flexible structure for representing many types of relationships and interactions in mathematics, computer science, and various applied fields.
An ordered graph is a type of graph in which the vertices and edges are organized in a specific sequence. This ordering can be applied in various ways depending on the context and the specific properties being examined. Here are a few interpretations of "ordered graph": 1. **Directed Graphs**: In directed graphs (or digraphs), the edges have a direction, meaning that they go from one vertex to another. The order of vertices and the direction of edges can be seen as a specific arrangement.
In the context of computer science and mathematics, a "common graph" can refer to different concepts depending on the specific area of discussion. However, it is not a universally defined or standard term.
Binomial regression is a type of regression analysis used for modeling binary outcome variables. In this context, a binary outcome variable is one that takes on only two possible values, often denoted as 0 and 1. This type of regression is particularly useful in situations where we want to understand the relationship between one or more predictor variables (independent variables) and a binary response variable. ### Key Features of Binomial Regression: 1. **Binary Outcomes**: The dependent variable is binary (e.
Carlson's theorem is a result in complex analysis, specifically in the context of power series. It deals with the convergence of power series and characterizes when a power series can be represented as an entire function, depending on the growth of its coefficients.
The Generalized Pochhammer symbol, often denoted as \((a)_n\) or \((a; q)_n\) depending on the context, is a generalization of the regular Pochhammer symbol used in combinatorics and special functions.
Legendre's formula, also known as Legendre's theorems or Legendre's formula for finding the exponent of a prime \( p \) in the factorization of \( n! \) (n factorial), provides a way to determine how many times a prime number divides \( n! \).
The Newton–Pepys problem is a classic problem in the field of probability and combinatorics. It deals with the scenario of distributing indistinguishable objects (in this case, balls) into distinguishable boxes. The problem was named after Isaac Newton and Samuel Pepys, who both famously engaged with this kind of problem in the context of distributions.
Pascal's triangle is a triangular array of numbers that represents the binomial coefficients. Each number in the triangle is the sum of the two numbers directly above it in the previous row. The triangle starts with a single "1" at the top, known as the apex.
Stirling numbers of the first kind, denoted by \(c(n, k)\), count the number of ways to express a permutation of \(n\) elements as a product of \(k\) disjoint cycles. In other words, they are used in combinatorial mathematics to determine how many different ways a set can be partitioned into cycles.
The Stirling numbers of the second kind, denoted as \( S(n, k) \), are a set of combinatorial numbers that count the ways to partition a set of \( n \) objects into \( k \) non-empty subsets. In other words, \( S(n, k) \) gives the number of different ways to group \( n \) distinct items into \( k \) groups, where groups can have different sizes but cannot be empty.

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