G. Peter Lepage is a renowned American physicist known for his work in experimental particle physics and, particularly, for his contributions to the study of heavy quarks and quantum chromodynamics. He has been involved in significant research projects at major particle physics laboratories, including the Cornell High Energy Synchrotron Source (CHESS) and the Large Hadron Collider (LHC) at CERN.
Hamiltonian simulation refers to the use of algorithms to efficiently approximate the time evolution of quantum systems governed by a Hamiltonian, which is a mathematical operator that describes the total energy of a system in quantum mechanics. In simpler terms, a Hamiltonian defines how a quantum system evolves in time.
A Grassmann graph, also known as a Grassmannian graph, is a concept from the field of combinatorial geometry and algebraic geometry that is closely related to Grassmannians. Grassmannians are spaces that parameterize all k-dimensional linear subspaces of an n-dimensional vector space. The vertices of a Grassmann graph correspond to the k-dimensional subspaces of a vector space, and the edges represent the relationships between these subspaces.
The Hartree is a unit of energy commonly used in atomic and molecular physics, particularly in quantum chemistry. It is defined as approximately \(4.36 \times 10^{-18}\) joules or \(27.2\) electron volts (eV). The Hartree energy is equivalent to the energy of an electron in the electrostatic field of a proton, and thus it provides a convenient scale for measuring energy levels and interactions in atoms and molecules.
The Department of Atomic Energy (DAE) is a department of the Government of India responsible for the country's nuclear energy program. Established in 1954, the DAE is tasked with developing nuclear technology and its applications for energy production, medical purposes, industrial applications, and research.
Great Planes Model Manufacturing, often simply referred to as Great Planes, is a company that specializes in producing high-quality radio-controlled (RC) model aircraft and accessories. Founded in 1982 and based in the United States, the company has gained a reputation for its innovative designs and commitment to quality in the RC hobbyist community.
Budan's theorem is a result in algebra that provides a method for determining the number of real roots of a polynomial within a specific interval. Specifically, it relates to the evaluation of the signs of the polynomial and its derivatives at the endpoints of the interval. The theorem can be stated as follows: 1. Consider a polynomial \( P(x) \) of degree \( n \) and its derivative \( P'(x) \).
The Hadron Production Experiment (HAP) is typically related to experimental physics involving the production and study of hadrons, which are subatomic particles made up of quarks and participate in strong interactions. Hadrons include baryons (such as protons and neutrons) and mesons. While there may be several specific experiments titled or related to hadron production, many of them are conducted within high-energy particle physics contexts.
The Hales–Jewett theorem is a result in combinatorial geometry, specifically in the field of Ramsey theory. It addresses the existence of certain types of structured configurations in combinatorial objects, such as hypercubes.
The Hall–Littlewood polynomials are a family of symmetric polynomials that play a significant role in various areas of combinatorics, representation theory, and algebraic geometry. They were introduced by Philip Hall and D. E. Littlewood in the mid-20th century as a generalization of the Schur polynomials.
The Hansen solubility parameter (HSP) is a quantitative measure used to predict the solubility of materials, particularly polymers, in different solvents. Developed by Charles M. Hansen in the 1960s, the HSP divides the solubility parameter into three components, each addressing different types of interactions between molecules: 1. **Dispersion Forces (δD)**: This component relates to the van der Waals forces that arise from temporary dipoles in molecules.
HARKing stands for "Hypothesizing After the Results are Known." It refers to the practice of formulating hypotheses based on the outcomes of data analysis rather than developing those hypotheses beforehand. This can lead to misleading conclusions because it undermines the integrity of the scientific method, whereby hypotheses should ideally be established prior to data collection and analysis.
The "All of Us" initiative is a research program launched by the National Institutes of Health (NIH) in the United States in 2015. Its primary goal is to gather health data from a diverse group of participants in order to advance precision medicine. Precision medicine tailors medical treatment to the individual characteristics of each patient, including their genetics, environment, and lifestyle.
The Journal of Supercomputing is a peer-reviewed academic journal that focuses on the field of high-performance computing (HPC) and its applications. It publishes original research articles, reviews, and practical case studies related to supercomputing methods, architectures, algorithms, and technologies. The journal serves as an academic forum for researchers, practitioners, and educators in the field to share advancements, methodologies, and findings related to supercomputing.
"A Topological Picturebook" is a book by the mathematician and topologist George W. Whitehead, published in 1973. The book aims to introduce concepts in topologya branch of mathematics that deals with the properties of space that are preserved under continuous transformations—using visual and intuitive explanations. It combines illustrations with discussions of topological ideas, making the subject more accessible, especially for readers who may not have a deep background in mathematics.
The British Cartographic Society (BCS) is a professional organization in the United Kingdom dedicated to the promotion and development of cartography and geographic information. Founded in 1963, the society brings together professionals, academics, and enthusiasts in the field of cartography and geospatial information. The BCS organizes events, workshops, and conferences to share knowledge and best practices among its members.
A Port-map, in various contexts, typically refers to a method or a tool for mapping the different ports (communication endpoints) used by applications or services on a network. It can be particularly useful in networking and software development environments for troubleshooting, configuration, and security purposes.
A self-similarity matrix is a mathematical representation that captures the similarity between different segments of a single data set, such as time series data, images, or text. It is particularly useful in various fields including signal processing, computer vision, and natural language processing. ### Key Characteristics: 1. **Definition**: The self-similarity matrix is typically constructed by computing the similarity (or distance) between different segments or pieces of the same data.
The term "vortex core line" typically pertains to the study of fluid dynamics, particularly in the context of vortex dynamics in fluid flows. A vortex is a region within a fluid where the flow revolves around an axis line, which can be straight or curved. In more technical terms, the vortex core line can refer to the central axis or line around which the vortex structure is organized.
Natural surveillance refers to the design and arrangement of physical spaces in a way that maximizes visibility and promotes observation, which can deter criminal behavior and enhance safety. This concept is often used in urban planning, architecture, and crime prevention strategies. Key elements of natural surveillance include: 1. **Visibility**: Structures, landscaping, and pathways should be arranged to allow clear sightlines. This means that people can easily see and be seen in public areas, reducing opportunities for crime.

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