Weak convergence in the context of Hilbert spaces is a fundamental concept in functional analysis and relates to how sequences of points (or vectors) behave within the structure of a Hilbert space.
A finite potential well is a concept in quantum mechanics that describes a potential energy region in which a particle can exist with energy levels that are quantized. Unlike an infinite potential well, where the potential energy is infinitely high outside a certain region, a finite potential well has a finite depth and finite width.
As of my last knowledge update in October 2023, Spherium is a decentralized finance (DeFi) protocol designed to offer a variety of financial services and features such as lending, borrowing, and trading in a more efficient and user-friendly manner. The aim of Spherium is to provide a comprehensive suite of DeFi tools that cater to both novice and experienced users, allowing for seamless access to decentralized financial services.
The degree of coherence is a measure of the correlation between the phases of waves at different points in space and/or time. It is an important concept in fields such as optics, wave physics, and signal processing. Coherence can be classified into two main types: 1. **Temporal Coherence**: This refers to the correlation between the phases of a single wave at different points in time. It is associated with the spectral width of a light source.
The Hong–Ou–Mandel (HOM) effect is a phenomenon in quantum optics that describes the interference of indistinguishable single photons. It was first observed by physicists Claude Hong, Ming Wu Ou, and Leonard Mandel in 1987. The effect illustrates the unique behaviors of quantum particles, specifically bosons, such as photons.
Quantum suicide and immortality are thought experiments related to the interpretation of quantum mechanics, particularly the many-worlds interpretation (MWI). These concepts explore the implications of quantum mechanics on concepts of life, death, and consciousness. ### Quantum Suicide The thought experiment of quantum suicide was devised by physicist David Deutsch and is typically framed as a scenario involving an observer and a quantum event with two outcomes.
"G.I. Joe: The Rise of Cobra" is a 2009 action film directed by Stephen Sommers, based on the popular Hasbro toy line and the associated media franchise. The movie is a live-action adaptation that reimagines the classic G.I. Joe characters and storyline, blending elements of military action, sci-fi, and espionage. The plot revolves around an elite military unit known as G.I.
"Nee Naan Nila" is a popular Tamil song from the 1990s, composed by the renowned music director, Yuvan Shankar Raja. The song features poignant lyrics that express themes of love and longing. It is often appreciated for its melodic composition and emotional depth. The song has been performed by various artists and is remembered fondly by fans of Tamil music.
"Pathayeram Kodi," also known as "Pathayeram Kodi" (meaning "Five Hundred Chicken" in Tamil), is a popular Tamil film released in 2017. Directed by J. K. S. Chandran, the film stars actors including Vidharth, Nandita Swetha, and others. The plot revolves around themes of love, family, and the challenges faced by the characters in their lives.
"The Mind of God" can refer to different concepts depending on context, including philosophical, theological, and scientific perspectives. Here are a few interpretations: 1. **Philosophical and Theological Perspective**: In theology, "The Mind of God" often refers to the nature and will of God, encompassing divine knowledge, intention, and understanding.
Force field technology, often associated with science fiction, refers to a theoretical protective barrier or shield that can exert a force to prevent physical objects from passing through it. This concept is popular in various media, including films, video games, and literature, where it is used to depict advanced protective systems that can deflect or absorb incoming attacks, such as energy beams, projectiles, or other forms of damage.
The International Journal of Thermophysics is a peer-reviewed scientific journal that focuses on the study of thermophysics, which encompasses the thermal properties and behavior of materials, fluids, and systems. This field includes research on heat transfer, thermodynamic properties, phase changes, and thermal analysis, among other topics. The journal publishes original research articles, review articles, and technical notes that contribute to the understanding of thermal phenomena and their applications in various fields such as engineering, materials science, and applied physics.
The *Journal of Physics: Condensed Matter* is a peer-reviewed scientific journal that publishes research articles in the field of condensed matter physics. This discipline focuses on the physical properties of condensed phases of matter, particularly solids and liquids, and encompasses a wide range of topics, including: - **Crystallography**: The study of crystal structures and their properties. - **Electronic properties**: Research on electrical conductivity, magnetism, and superconductivity.
The Journal of Rheology is a scientific journal that publishes research articles, reviews, and technical notes on the study of rheology, which is the science of flow and deformation of matter. This field encompasses a wide range of materials, including polymers, biological fluids, slurries, and other complex fluids. The journal covers various theoretical, experimental, and computational studies related to the viscosity, elasticity, and plasticity of materials.
"Metrologia" is the Spanish and Italian term for "metrology," which is the science of measurement. It involves the theoretical and practical aspects of measurement, including the establishment of units, the development of measurement methods, and the calibration of measuring instruments. Metrology plays a crucial role in various fields, such as science, engineering, manufacturing, and quality control, as it ensures that measurements are accurate, reliable, and consistent.
Open Physics is a term that generally refers to the practice of sharing, disseminating, and collaboratively developing scientific knowledge in the field of physics through open access. This concept is part of the broader open science movement, which advocates for transparency, accessibility, and public engagement in scientific research.
PhysMath Central was an online platform that focused on publishing open-access scientific research in the fields of physics and mathematics. It aimed to provide a venue for researchers to share their findings without the restrictions often associated with traditional publishing models. The platform allowed for the publication of various types of articles, including research papers, reviews, and more, and fostered collaboration and communication within the scientific community.
A pyramidal alkene doesn't exist as a distinct category in traditional organic chemistry. However, the term might refer to alkenes that possess a certain spatial arrangement or stereochemistry. In organic chemistry, alkenes are compounds that contain at least one carbon-carbon double bond (C=C). They are typically characterized by a planar geometry around the double bond due to the sp² hybridization of the carbon atoms involved in the double bond, leading to a trigonal planar configuration.
Sigma-pi and equivalent-orbital models are concepts from molecular and solid-state physics that deal with the electronic structure of molecules and materials. ### Sigma-Pi Models 1. **Sigma Bonds (σ Bonds)**: These are covalent bonds formed when two atoms share electrons in an overlapping region of their atomic orbitals along the axis connecting the two nuclei. Sigma bonds are generally stronger because they involve direct overlap.
Karl Bernhard Zoeppritz was a German geophysicist, best known for his contributions to seismic wave theory and reflection seismology. He is particularly famous for the Zoeppritz equations, which describe how seismic waves behave when they encounter a boundary between different geological layers. These equations are fundamental in the field of exploration geophysics, as they help in understanding and interpreting data from seismic surveys, particularly in oil and gas exploration.

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