Edward Witten by Ciro Santilli 37 Updated 2025-07-16
This dude is generally viewed as a God. His incredibly understated demeanor and tone certainly help.
Video 1.
Unintentional ASMR | Sleepiest Interview Ever | Edward Witten
. Source. The title of this reupload is just epic. Edward telling his biography.
Edward Teller by Ciro Santilli 37 Updated 2025-07-16
Video 1.
Witnessing the test explosion Edward Teller interview by Web of Stories (1996)
Source.
Video 2.
Edward Teller, An Early Time
. Source. Comissioned by the Los Alamos National Laboratory in 1979. Producer: Mario Balibreraa.
Sally Brailsford is a recognized figure in the field of operations research, management science, and decision support systems. She has made significant contributions to the development of methodologies and tools that aid in decision-making processes. Her work often intersects with healthcare, logistics, and service operations, and she has been involved in various academic and practical applications of these disciplines.
As of my last update in October 2021, there is no widely recognized figure or entity specifically known as "Yasmín Ríos-Solís". It is possible that she is a private individual, a public figure, or an emerging personality who gained recognition after that date.
Operator theorists are mathematicians who specialize in the study of operators on function spaces, mainly within the framework of functional analysis. This field investigates various types of linear operators, which are mappings that take one function (or vector) to another while preserving the structure of a vector space. Key areas of focus within operator theory include: 1. **Linear Operators**: Understanding how linear mappings act on function spaces, particularly Hilbert and Banach spaces.
The Gelfand–Naimark theorem is a fundamental result in functional analysis and the theory of C*-algebras. It establishes a deep connection between C*-algebras and normed spaces, specifically in the context of representation theory.
A differential operator is a mathematical operator used to denote the process of differentiation. In the context of a function, it takes a function as its input and produces the derivative of that function as output. Differential operators are commonly used in calculus, physics, engineering, and many other fields to analyze and describe rates of change and various physical phenomena.
In operator theory, dilation refers to a specific concept particularly relevant in the study of linear operators on Hilbert spaces. The idea of dilation relates to the representation of certain types of operators (often bounded operators) in terms of larger, often simpler, operators. Dilation can be viewed from different perspectives, including matrix dilation, functional analytic dilation, and quantum mechanical contexts. ### 1. **Unitary Dilation**: A common type of dilation in operator theory is unitary dilation.
The Discrete Laplace operator, often referred to as the discrete Laplacian, is a crucial mathematical tool used primarily in the fields of numerical analysis, image processing, and physics when dealing with discrete data, such as grids or meshes. It is a finite difference analogue of the continuous Laplace operator, which captures the concept of local curvature or diffusion.
In the context of Hilbert spaces and functional analysis, a **positive operator** is a specific type of bounded linear operator that acts on a Hilbert space. Here's a more detailed explanation: ### Definitions and Properties 1. **Hilbert Space**: A Hilbert space is a complete vector space equipped with an inner product, which allows for the generalization of concepts such as length and angle.
Optics Letters is a peer-reviewed scientific journal that publishes research articles and letters on all aspects of optics and photonics. It is known for its rapid publication process, allowing research findings to reach the scientific community quickly. The journal covers a wide range of topics including, but not limited to, novel optical technologies, fundamental studies in light-matter interactions, and advancements in optical materials and devices. It is widely regarded in the field of optics and is published by the Optical Society (OSA).
Bacterial Colony Optimization (BCO) is a nature-inspired optimization algorithm that draws inspiration from the foraging behavior and social interactions of bacteria, particularly how they find nutrients and communicate with each other. It is part of a broader class of algorithms known as swarm intelligence, which models the collective behavior of decentralized, self-organized systems. ### Key Concepts of Bacterial Colony Optimization: 1. **Bacterial Behavior**: The algorithm mimics the behavior of bacteria searching for food or nutrients in their environment.
The Riesz–Thorin theorem is a fundamental result in functional analysis, specifically in the study of interpolation of linear operators between L^p spaces. It provides a powerful method for establishing the boundedness of a linear operator that is bounded on two different L^p spaces, allowing us to extend this boundedness to intermediate spaces.
SIC-POVM stands for Symmetric Informationally Complete Positive Operator-Valued Measure. It is a concept in quantum mechanics and quantum information theory related to the measurement process. ### Key Concepts: 1. **Positive Operator-Valued Measure (POVM)**: A POVM is a generalization of the notion of a measurement in quantum mechanics.
Schatten class operators, denoted as \( \mathcal{S}_p \) for \( p \geq 1 \), are a generalization of compact operators on a Hilbert space. They are defined in terms of the singular values of the operators.
The Schatten norm is a family of norms that are used in the context of operator theory and matrix analysis. It generalizes the concept of vector norms to operators (or matrices) and is particularly useful in quantum mechanics, functional analysis, and numerical linear algebra. For an operator \( A \) on a Hilbert space, the Schatten \( p \)-norm is defined in terms of the singular values of \( A \).
The Stein–Strömberg theorem is a result in the field of harmonic analysis and complex analysis, particularly concerning the behavior of functions defined on certain sets and their Fourier transforms. It provides bounds on the integral of the exponential of a function, specifically concerning the Plancherel measure associated with it. In essence, the theorem states conditions under which the Fourier transform of a function within a specific space will be contained in another function space, highlighting the interplay between various functional spaces.

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