Fock space is a concept in quantum mechanics and quantum field theory that provides a framework for describing quantum states with a variable number of particles. It is particularly useful for systems where the number of particles is not fixed, such as in the contexts of particle physics, many-body systems, and condensed matter physics.
Daisy is a brand of dolls that are often characterized by their cute and playful designs, typically aimed at children. While there are various dolls with that name, one notable mention is the "Daisy Doll," which was part of a broader trend of fashion dolls in the market. These dolls typically feature stylized clothing and accessories, allowing children to engage in imaginative play. Additionally, they may be part of a specific collection or series focused on themes like friendship, adventure, or fantasy.
Chasles' theorem, in the context of gravitation and classical mechanics, refers to a specific result related to the motion of bodies under gravitational influence. Essentially, it states that for any rigid body undergoing motion, the motion can be described as a combination of a translation and a rotation about an axis.
Lawrence Biedenharn is best known as a significant figure in the field of physics, particularly for his contributions to the development of the first electron accelerator in the 1930s. He was a prominent American physicist involved in research related to particle acceleration and the study of subatomic particles.
Lotte Hollands does not appear to be a widely recognized name or term based on the information available up to October 2023. It could potentially refer to a person, a brand, or a term that is less commonly known.
Murray Batchelor is a well-known physicist and researcher, particularly recognized for his work in the areas of condensed matter physics, particularly in relation to quantum materials and complex systems. His research often deals with topics such as quantum fluctuations, phase transitions, and various phenomena in condensed matter. Batchelor has published numerous papers and contributed significantly to the scientific community through his studies and findings.
Pavel Exner is a Czech physicist known for his contributions to mathematical physics, particularly in the areas of quantum mechanics and spectral theory. He has worked extensively on topics such as Schrödinger operators, the mathematical foundations of quantum mechanics, and the study of quantum systems in various geometrical settings. Exner has published numerous research papers and collaborated with other scientists in the field, making significant advancements in our understanding of quantum phenomena.
Exponential dichotomy is a concept from the theory of dynamical systems and differential equations, particularly in the study of linear systems. It describes the behavior of solutions to a linear differential equation in terms of their growth or decay rates over time. ### Definition An exponential dichotomy occurs for a linear system of the form: \[ \frac{dx}{dt} = Ax(t) \] where \( A \) is a linear operator (often represented by a matrix in finite dimensions).
Pierre Collet is a French physicist known for his work in the field of statistical mechanics and the study of the dynamics of complex systems. He has made significant contributions to the understanding of phase transitions, non-equilibrium systems, and the behavior of systems with many interacting components. Collet's research often involves the application of mathematical methods and concepts from statistical physics to explore phenomena in various physical contexts. He is also associated with collaborations and has been involved in academic research that integrates theoretical insights with experimental findings.
Yurii Mitropolskiy is a fictional character and is notable for being a prominent figure within the narrative of the video game series "S.T.A.L.K.E.R." This franchise is set in the Chernobyl Exclusion Zone and involves themes of survival horror, exploration, and science fiction amid a post-apocalyptic backdrop.
Samson Shatashvili is a prominent figure in the field of mathematics, particularly known for his contributions to mathematical analysis and partial differential equations. While there may be a specific individual with the name, if you meant a particular theory, theorem, or concept associated with this name, please provide more context, and I'll do my best to give you a detailed answer. Otherwise, there isn't widely known information about someone named Samson Shatashvili in the mainstream mathematical literature.
Takahiko Yamanouchi is a Japanese photographer known for his work in the field of photography. His work often focuses on themes of nature, urban environments, and the interplay of light and shadow.
Thomas Curtright is a notable American theoretical physicist, primarily recognized for his contributions to the fields of mathematical physics and quantum gravity. He has made significant advancements in various areas, including the study of quantum field theory, string theory, and the mathematical structures underlying these theories. Curtright has published numerous research papers and is known for his influential work on topics like noncommutative geometry and symmetries in physics. He is also known for his teaching and mentoring in physics and mathematics.
Vladimir Ignatowski is not a widely recognized public figure or term as of my last knowledge update in October 2023. If you are referring to a specific individual, event, or concept related to someone named Vladimir Ignatowski, could you please provide more context or details?
Yakov Sinai is a prominent Russian-born mathematician known for his contributions to the fields of dynamical systems, ergodic theory, mathematical physics, and probability theory. Born on September 21, 1935, Sinai has made significant advancements in understanding chaotic systems and has been instrumental in the development of modern mathematical concepts in these areas.
Higher gauge theory is a generalization of traditional gauge theory that incorporates higher-dimensional structures, often characterized by the presence of higher category theory. In typical gauge theories, such as those used in particle physics, one finds gauge fields associated with symmetries represented by groups. These gauge fields are typically connections on principal bundles. In higher gauge theories, the focus extends to fields that can be described not just by 0-cochains (i.e.
During the 17th century, many mathematicians made significant contributions to the field, and they came from various countries. Here’s a list of notable mathematicians from that period, categorized by nationality: ### Italian - **Bonaventura Cavalieri**: Known for his work on integral calculus and the method of indivisibles. - **Giorgio Vasari**: Contributed to geometry and arithmetic.
A hybrid bond graph is a modeling tool that combines elements from both bond graph theory and other modeling paradigms, such as discrete-event systems or system dynamics. The primary purpose of a bond graph is to represent the energy exchange between different components in a system, typically in the context of engineering systems, particularly in the fields of mechanical, electrical, and hydraulic systems.

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