Bruce Lipton is a biologist and author best known for his work in the field of epigenetics and his ideas about the relationship between biology and consciousness. He gained popularity with his book "The Biology of Belief," published in 2005, which posits that beliefs and thoughts can influence cellular behavior and, consequently, one's health and well-being.
The Solovay–Kitaev theorem is a significant result in the field of quantum computing, particularly in the study of quantum circuits. It addresses the problem of approximating a given quantum gate using a finite set of gate operations. Here's an overview of its main points: 1. **Approximation of Quantum Gates**: The theorem states that any single-qubit unitary operation can be approximated to arbitrary precision using an arbitrary universal gate set, provided that the gate set is sufficiently rich.
Ken Wilber is an American philosopher and writer, best known for his work in transpersonal psychology and integral theory. Born on January 31, 1949, he has developed a comprehensive framework that attempts to synthesize various fields of knowledge, including psychology, spirituality, philosophy, and science. His influential book, "A Theory of Everything," outlines his integral approach, which seeks to integrate different perspectives and disciplines into a unified understanding of human experience and development.
Lawrence LeShan is an American psychologist, author, and parapsychologist known for his work in the fields of consciousness, human potential, and the intersection of psychology and spirituality. He has published several books and articles exploring topics such as healing, meditation, and the nature of consciousness.
As of my last update in October 2023, "Plasmaron" does not refer to a widely recognized concept, product, or term in popular culture, science, or technology. It is possible that it could be a product name, a brand, a fictional character, or a concept that has emerged recently or is specific to a niche area.
In physics, a "holon" refers to a quasiparticle that represents a charged particle in an electronic system. The concept of a holon arises in the context of one-dimensional systems and particularly in models that describe strong correlations, such as the Hubbard model and the study of spin-charge separation in strongly correlated electron systems. The idea of spin-charge separation suggests that in certain one-dimensional materials, the charge and spin of an electron can behave independently.
Magnetic skyrmionium is a novel magnetic structure that arises from the concept of skyrmions, which are topologically protected spin textures found in certain magnetic materials. While traditional skyrmions are characterized by a vortex-like configuration of spins with a nontrivial topological charge, skyrmioniums can be thought of as their counterparts with a more complex spin arrangement.
Quaternary science refers to the study of the Quaternary Period, which is the most recent geological time period, spanning the last 2.6 million years, including the present day. This field encompasses various disciplines, including geology, paleontology, archaeology, climate science, and paleoecology, focusing on understanding Earth's processes and environments during this time. Quaternary science journals are academic publications that focus on research related to the Quaternary Period.
A radium dial refers to a type of watch or clock dial that was painted with radium-based paint to create luminescence in low-light conditions. This technique became popular in the early 20th century, particularly during the 1920s to the 1960s. The primary advantage of using radium was its ability to glow in the dark, allowing users to read the time easily without needing an additional light source.
Quaternary geochronology is the branch of geology that focuses on dating and studying the Quaternary period, which is the most recent geological time period that spans from approximately 2.58 million years ago to the present. This period encompasses two major epochs: the Pleistocene, characterized by repeated glacial cycles, and the Holocene, which began around 11,700 years ago and continues to the present day.
Whitney's inequality is a result in the field of functional analysis and probability theory, particularly concerning the behavior of functions and measures. While the term may be used in different contexts, one common interpretation relates to bounds on stochastic processes or empirical measures. In one of its forms, Whitney's inequality gives a bound on the deviation of the empirical distribution from the true distribution.
The pseudo-spectral method is a numerical technique used for solving differential equations, particularly partial differential equations (PDEs). This method exploits the properties of orthogonal polynomial bases (such as Fourier series or Chebyshev polynomials) to transform the differential equations into a system of algebraic equations, making them more tractable for computation.
Regge calculus is a mathematical formulation used in the field of general relativity and quantum gravity that provides a way to discretize spacetime. Developed by Tullio Regge in the 1960s, this approach allows for the study of Einstein's equations and gravitational dynamics in a non-continuous, piecewise linear manner.
In numerical analysis, the term "residual" refers to the difference between a computed solution and the exact solution of a mathematical problem. It quantifies the error or discrepancy in a numerical approximation.
The Sterbenz lemma is a result in graph theory, particularly in the area of random graphs and percolation theory. It provides conditions under which a large connected component will exist in a random graph or a random structure. More specifically, the lemma is often discussed in the context of random graphs model \( G(n, p) \), where \( n \) is the number of vertices and \( p \) is the probability of an edge existing between any two vertices.
A surrogate model, often referred to as a meta-model or approximation model, is a mathematical model that approximates the behavior of a more complex, typically computationally expensive model or system. Surrogate models are commonly used in fields such as engineering, optimization, and machine learning to reduce the time and resources required to evaluate complex simulations or performances.
A Scale Co-occurrence Matrix (SCM) is often used in fields such as natural language processing, image analysis, and various data analysis tasks where the relationships between different entities or features are important. While the specific use and definition of a Scale Co-occurrence Matrix may vary depending on the context, here’s a general understanding: ### Definition: - **Co-occurrence Matrix**: A general co-occurrence matrix is a table that displays how often different items or features occur together across a dataset.
A **transfer matrix** is a mathematical tool used in various fields, notably in physics, to analyze a system or process by relating the state of a system at one point to its state at another point. The concept is widely applied in statistical mechanics, condensed matter physics, quantum mechanics, and in the field of linear systems.
A geodesic grid is a type of coordinate system used primarily in geodesy, cartography, and various fields of mathematics and computer science to represent the surface of the Earth (or any spherical or spheroidal object) in a way that allows for accurate measurement and visualization.
Validated numerics is a computational technique used to ensure the accuracy and reliability of numerical results in scientific computing. It incorporates methods and frameworks to formally verify and validate the results of numerical computations, particularly when dealing with floating-point arithmetic, which can introduce errors due to its inherent limitations and approximations. Key aspects of validated numerics include: 1. **Bounding Enclosures**: Instead of producing a single numerical result, validated numerical methods often return an interval or bounding box that contains the true solution.

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