In set theory, a "tall cardinal" is a type of large cardinal that has properties extending the concept of regular and measurable cardinals. A cardinal \( \kappa \) is called a tall cardinal if it satisfies specific additional conditions that make it "tall" in a certain sense.
The Tarski-Kuratowski algorithm is a method used in topology and related fields to determine the connectivity and separation properties of sets in a topological space. Specifically, it addresses the problem of determining whether two sets are separated or not by exploring their topological relationships. The algorithm operates on pairs of closed sets in a topological space and can be used to find whether one set is contained within another, whether they are disjoint, or whether they intersect.
The Telephone Preference Service (TPS) is a service in the UK that allows individuals to register their preference not to receive unsolicited telemarketing calls. When someone registers their phone number with TPS, it signals telemarketers that the person does not wish to be contacted for marketing purposes. Here are some key points about the Telephone Preference Service: 1. **Registration**: Individuals can register their home or mobile phone numbers for free. Registration can usually be done online, via phone, or by mail.
The ternary conditional operator, often simply called the "ternary operator," is a shorthand way to perform a conditional operation in programming. It provides a compact syntax to return one of two values based on a condition. The ternary operator is commonly represented using the `?` and `:` symbols, and is available in many programming languages, including C, C++, Java, JavaScript, Python (via syntax like `value_if_true if condition else value_if_false`), and others.
The term "terrace ledge kink model" pertains to a concept in the field of materials science, particularly in the study of crystal growth and surface morphology. This model is used to describe the dynamics of crystal surfaces during growth processes, where the arrangement of atoms or molecules leads to the formation of specific surface features. Here's a brief overview of the key components: 1. **Terraces**: These are flat regions on the crystal surface where atoms are arranged in an orderly, two-dimensional array.
Topoisomers are different forms of the same molecule that have the same chemical formula but differ in the arrangement of their atoms in three-dimensional space. This term is commonly used in the context of the structural variations of DNA and in relation to the topology of chemical compounds. In the case of DNA, topoisomers can arise from variations in the winding of the double helix, such as supercoiling.
"Thaw" in a weather context refers to the process of melting or warming that occurs when temperatures rise above freezing, causing ice and snow to turn back into liquid water. This can happen during transitional seasons, such as spring or during a warm spell in winter. Thawing can lead to various environmental effects, including increased water flow in rivers and streams, potential flooding, and changes in soil moisture levels. It can also affect ecosystems, wildlife behavior, and agricultural practices.
"The Simulacra" is a philosophical and theoretical work by the French sociologist and philosopher Jean Baudrillard, published in 1981. In this book, Baudrillard explores the concepts of simulation, hyperreality, and the nature of signs and symbols in contemporary society. He discusses how, in modern culture, representations of reality have become more significant than reality itself, leading to a situation where the distinction between the real and the simulated blurs.
Multiple star systems are stellar systems that consist of two or more stars that are gravitationally bound to each other. Unlike single stars like our Sun, which exist in isolation, multiple star systems can vary in their configurations and can include: 1. **Binary Stars**: The simplest form of a multiple star system, consisting of two stars orbiting around a common center of mass. These can be further classified into: - **Wide binaries**: Stars that are separated by large distances.
Peter Debye (1884-1966) was a Dutch-American physicist and chemist renowned for his contributions to the fields of physical chemistry and electrodynamics. He is best known for his work on the Debye model, which describes how dielectric materials respond to electric fields. He also investigated the behavior of polar molecules, leading to the introduction of the concept of the dipole moment and Debye temperature, which relates to specific heat capacities in solids.
Thermal conduction is the process by which heat energy is transferred through materials without any flow of the material itself. This transfer occurs due to temperature differences within a substance or between different substances in thermal contact. When a region of a material is heated, the particles in that region gain energy and vibrate more vigorously. These excited particles collide with neighboring particles, transferring some of their energy to them, which raises their temperature. This process continues, allowing heat to move from the hotter area to the cooler area.
X-ray fluorescence (XRF) is a non-destructive analytical technique used to determine the elemental composition of materials. When a sample is irradiated with X-rays, it absorbs some of the energy, causing the inner-shell electrons of the atoms in the sample to be ejected. As a result, electrons from higher energy levels within the atom fill these vacancies, and energy is released in the form of characteristic X-rays.
A thin-film lithium-ion battery is a type of rechargeable battery that utilizes very thin layers of materials in its construction, allowing for a lightweight and compact design. These batteries are built using thin-film technology, which involves the deposition of materials in very thin layers (typically less than a few micrometers thick). This technology enables the production of batteries with unique properties such as high energy density, fast charge and discharge rates, and improved endurance.
Thomas A. Edison, Inc. is a company that pays tribute to Thomas Edison, the famous American inventor and businessman. Although information on the specific nature of the business might vary or be limited, companies with such names typically focus on innovation, technology, or products that celebrate Edison's legacy in electricity and invention.
Tip-enhanced Raman spectroscopy (TERS) is a powerful analytical technique that combines the principles of Raman spectroscopy with scanning probe microscopy (SPM), often utilizing a scanning tunneling microscope (STM) or atomic force microscope (AFM). This technique enables the study of materials at the nanoscale, providing enhanced spatial resolution and sensitivity compared to conventional Raman spectroscopy.
The Nagel–Schreckenberg model, often abbreviated as the NS model, is a cellular automaton used to simulate traffic flow. Developed in the 1990s by German physicists Kai Nagel and Hans-Joachim Schreckenberg, the model is an example of a simple, discrete model that captures complex behavior observed in real-world traffic systems.
Statistical fluctuations refer to the variations or changes in a measurable quantity or phenomenon that occur due to randomness or inherent variability in a process. These fluctuations are often observed in statistical data collected from experiments, observations, or samples, and they can arise from various sources, including sampling error, measurement error, and intrinsic randomness in the underlying system being studied. In many cases, statistical fluctuations are characterized by their distribution properties, such as mean, variance, and standard deviation.
Tomu Muto is a term or phrase that doesn't have widely recognized significance in popular culture, history, or mainstream topics up to my last knowledge update in October 2023. It’s possible that it could refer to a name, a specific person, or something niche that emerged after my last update or is not widely documented.
François Massieu (born in 1806) was a prominent French educator and advocate for the education of deaf individuals. He is best known for his work in advancing sign language and improving the educational practices for the deaf community in the 19th century. Massieu himself was deaf, and he became one of the first students of the National Institute for Deaf-Mutes in Paris, which was founded by the Abbé de l'Épée.
A tornado outbreak refers to a weather event characterized by the occurrence of multiple tornadoes over a relatively short period of time and within a specific geographic area. These outbreaks typically happen during severe weather conditions, often associated with thunderstorms and unstable atmospheric conditions, such as warm, moist air at the surface combined with cooler air aloft. Tornado outbreaks can vary in scale, ranging from just a few tornadoes to dozens occurring in a single day or over the course of a few days.

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