Katherine Oppenheimer, often referred to as "Kitty," was the wife of J. Robert Oppenheimer, the American theoretical physicist best known for his role as the director of the Los Alamos Laboratory during the Manhattan Project, which developed the first atomic bombs during World War II. Katherine was born on April 8, 1910, and she was an accomplished individual in her own right, having studied biology and worked as a research assistant before her marriage.
Angular correlation in the context of electron-positron annihilation refers to the angular distribution of the gamma radiation produced when an electron and its antiparticle, the positron, annihilate each other. When an electron and positron collide, they can annihilate to produce gamma-ray photons. Typically, this process produces two gamma rays (photons) that travel in opposite directions.
The Berthold Leibinger Zukunftspreis (Berthold Leibinger Future Award) is a prestigious award presented to individuals and organizations that have made significant contributions to the field of laser technology. Established in honor of Berthold Leibinger, a prominent figure in the laser industry and former CEO of the Trumpf GmbH + Co. KG, the award aims to promote innovation and research in laser technology and its applications.
Continuous geometry is a branch of mathematics that generalizes classical geometry to structures that are defined in a continuous manner rather than through discrete points. It was developed by mathematician David Hilbert in the early 20th century and further extended by other mathematicians. In continuous geometry, the focus is often on the properties and relationships of geometric structures that can be described using continuous parameters.
The National Energy Research Scientific Computing Center (NERSC) is a high-performance computing facility located at Lawrence Berkeley National Laboratory (Berkeley Lab) in California. It is operated by the U.S. Department of Energy (DOE) and serves as a key resource for scientists and researchers in the energy and physical sciences.
SCALD can refer to different things depending on the context. The most common meanings include: 1. **Scald (general term)**: A burn caused by hot liquids or steam. Scalding injuries are often associated with incidents involving hot water, cooking liquids, or steam. 2. **SCALD in computing**: It may refer to an acronym or specific software used in a particular field or application.
Silo is a library that focuses on providing a simple and efficient interface for building scalable and high-performance applications, particularly in the context of data processing and in-memory computing. It is designed to facilitate the management of distributed systems, enabling developers to work with large-scale data and perform complex computations. Key features of Silo might include: 1. **Distributed Computing**: Silo often supports distributed architectures, allowing applications to leverage multiple nodes for processing data more efficiently.
Ani Aprahamian is a prominent physicist known for her work in nuclear experimental physics. She has made significant contributions to the understanding of nuclear structure and reactions, particularly in relation to the processes that occur in stars and during stellar nucleosynthesis. Aprahamian is also noted for her involvement in educational initiatives and her advocacy for increasing diversity in the sciences, including efforts to support women and underrepresented groups in physics.
OS/2 is an operating system developed by IBM and originally intended to be the successor to MS-DOS. The project was initiated in the mid-1980s as a collaboration between IBM and Microsoft, but after a falling out between the companies, IBM continued the development of OS/2 on its own. OS/2 was designed to run on personal computers and provided a graphical user interface (GUI), multitasking capabilities, and support for 32-bit applications.
An accumulation point (or limit point) of a subset \( A \) of a topological space \( X \) is a point \( x \in X \) such that every neighborhood of \( x \) contains at least one point from \( A \) that is different from \( x \) itself.
A basis function is a fundamental component in various fields such as mathematics, statistics, and machine learning. It serves as a building block for constructing more complex functions or representations. Here are some key points about basis functions: 1. **Mathematical Definition**: In the context of functional analysis, a set of functions is considered a basis if any function in a certain function space can be expressed as a linear combination of those basis functions.
A glossary of linear algebra typically includes key terms and concepts that are fundamental to the study and application of linear algebra. Here’s a list of some important terms you might find in such a glossary: ### Glossary of Linear Algebra 1. **Vector**: An element of a vector space; often represented as a column or row of numbers. 2. **Matrix**: A rectangular array of numbers arranged in rows and columns.
A finite von Neumann algebra is a special type of von Neumann algebra that satisfies certain properties related to its structure and its trace. Von Neumann algebras are a class of *-algebras of bounded operators on a Hilbert space that are closed in the weak operator topology. They play a central role in functional analysis and quantum mechanics.
Leibniz's formula for the determinant of an \( n \times n \) matrix provides a way to compute the determinant based on permutations of the matrix indices.
In mathematics, particularly in the context of linear algebra and functional analysis, a **linear form** (or linear functional) is a specific type of function that satisfies certain properties. Here are the main characteristics: 1. **Linear Transformation**: A linear form maps a vector from a vector space to a scalar.
A **quasinorm** is a generalization of the concept of a norm used in mathematical analysis, particularly in functional analysis and vector spaces. While a norm is a function that assigns a non-negative length or size to vectors (satisfying certain properties), a quasinorm relaxes some of these requirements.
A matrix difference equation is a mathematical equation that describes the relationship between a sequence of vectors or matrices at discrete time intervals. Specifically, it generalizes the concept of a scalar difference equation to the context of matrices or vectors.
The term "pairing" can refer to different concepts depending on the context. Here are a few common interpretations: 1. **Cooking and Beverages**: In culinary contexts, pairing often refers to the art of matching foods with beverages (like wine or beer) to enhance the overall dining experience. For example, red wine is commonly paired with red meat, while white wine is often paired with seafood.
In linear algebra, a **quotient space** is a way to construct a new vector space from an existing vector space by partitioning it into equivalence classes. This process can be thought of as "modding out" by a subspace, leading to a new space that captures certain properties while ignoring others.
Singular Value Decomposition (SVD) is a mathematical technique in linear algebra used to factorize a matrix into three other matrices. It is particularly useful for analyzing and reducing the dimensionality of data, solving linear equations, and performing principal component analysis.

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