The Łoś–Tarski preservation theorem is a fundamental result in model theory, a branch of mathematical logic that deals with the relationship between formal languages and their interpretations, or models. The theorem specifically addresses the preservation of properties of structures (models) under certain mappings. In more detail: 1. **Setting**: The theorem considers a first-order logic and a class of structures (models) defined by certain properties.
Lotus effect by Wikipedia Bot 0
The "Lotus effect" refers to the self-cleaning properties observed in the leaves of the lotus plant (genus *Nelumbo*). This phenomenon is primarily due to the unique micro- and nanostructure of the lotus leaves, which are coated with a waxy surface that repels water and prevents dirt and contaminants from adhering to them.
Louiqa Raschid by Wikipedia Bot 0
Louiqa Raschid is a prominent computer scientist and a professor known for her work in the field of data science, big data, and databases. She has made significant contributions to areas such as data management, data mining, machine learning, and the integration of heterogeneous data sources. Her research often focuses on the challenges of handling large-scale data and developing efficient algorithms for data analysis.
Louis Pouzin by Wikipedia Bot 0
Louis Pouzin is a French computer scientist and one of the pioneers in the development of networking technologies. He is best known for his contributions to packet-switching technology, which is fundamental to the functioning of the internet. In the early 1970s, he developed the CYCLADES network, one of the first packet-switched networks.
Louis Puissant by Wikipedia Bot 0
Louis Puissant generally refers to a notable figure in the field of mathematics, particularly known for his work in functional analysis and related areas. His contributions may relate to topics such as operator theory, Banach spaces, and other mathematical constructs.
"Love the Music, Hate the Kids" is a phrase that reflects a sentiment often felt by some individuals, particularly those in the music or entertainment industry, who may struggle to balance their passion for music with the challenges of parenting. It captures a humorous frustration where one can deeply appreciate music and the culture surrounding it, while simultaneously feeling overwhelmed or hindered by the responsibilities that come with raising children.
Low-intensity pulsed ultrasound (LIPUS) is a non-invasive therapeutic technique that uses low-intensity ultrasound waves to promote healing and tissue repair. It is characterized by its low power output (usually in the range of 30 to 100 mW/cm²) and is typically administered in pulsed (as opposed to continuous) mode.
Keith Geddes by Wikipedia Bot 0
Keith Geddes is a notable figure in the field of computer science, particularly known for his work in symbolic computation and algebraic algorithms. He has made significant contributions to the development of computer algebra systems and is recognized for his efforts in creating algorithms for symbolic manipulation, which have applications in various areas including mathematics, engineering, and physics. Geddes is also associated with the reduction of algorithms for polynomial computation and has authored or co-authored a number of academic papers and books on these subjects.
Kenji Ueno by Wikipedia Bot 0
Kenji Ueno is a notable Japanese mathematician primarily recognized for his work in the field of differential geometry. He has contributed to various areas within mathematics, including geometric topology and the study of dynamical systems. Ueno is also known for his involvement in mathematical education and for authoring research papers and textbooks aimed at both advanced students and professionals in mathematics.
Kenneth Kellermann is not a widely recognized public figure or concept as of my last knowledge update in October 2021. If you meant a specific person, organization, or a topic that has emerged after that date, I would not have information on it. If you provide more context or specify the field (e.g.
Kenneth Kunen by Wikipedia Bot 0
Kenneth Kunen is a mathematician known primarily for his work in set theory and mathematical logic. He has made significant contributions to the field, particularly in areas related to forcing and large cardinals. Kunen is also known for his influential textbook "Set Theory: An Introduction to Independence," which provides a comprehensive introduction to set theory and its foundational aspects, including topics such as the independence of certain propositions from Zermelo-Fraenkel set theory with the Axiom of Choice (ZFC).
The Kentucky meat shower refers to a bizarre event that occurred in 1876 in Harrodsburg, Kentucky, where large chunks of what appeared to be meat fell from the sky over an area of approximately 100 yards. The phenomenon caused a stir, with various eyewitnesses reporting the fallout of the mysterious meat. Initial speculation about the source ranged from theories involving the remnants of animals, potentially due to the presence of vultures in the area, to supernatural explanations.
K-equivalence by Wikipedia Bot 0
K-equivalence is a concept from the field of differential privacy, which is a framework for ensuring the privacy of individuals' data when it is being used for analysis or research. Specifically, K-equivalence refers to a privacy-preserving mechanism that ensures that the output of a function on a dataset remains similar (or "equivalent") when a single individual's data is added or removed from that dataset.
In linear algebra, the **kernel** of a linear transformation (or a linear map) is a fundamental concept that describes the set of vectors that are mapped to the zero vector.
Kettering, Ohio by Wikipedia Bot 0
Kettering is a city located in Montgomery County, Ohio, United States. It is part of the Dayton metropolitan area and is situated to the south of Dayton. Kettering was incorporated as a city in 1952 and has since grown into a residential community with a mix of suburban amenities, parks, and schools. The city is named after Charles F.
Kevin Insik Hahn by Wikipedia Bot 0
As of my last knowledge update in October 2023, Kevin Insik Hahn is a notable figure in the realm of venture capital and technology. He is known for his work in the startup ecosystem, particularly focusing on innovation and investment in new technologies and businesses. However, specific details about his career, contributions, and current activities may vary or be updated after this date.
Kevin T. Pitts by Wikipedia Bot 0
Kevin T. Pitts is a recognized academic in the field of physics, particularly known for his contributions to the study of condensed matter physics and quantum systems. He has been involved in research, teaching, and various academic initiatives.
A kinematically complete experiment is one in which all relevant kinematic variables of a physical process or system are measured or can be determined with sufficient precision. In particle physics, for example, this typically means that when particles collide, all final state particles are detected, and their momenta and energies are measured accurately. In such experiments, researchers aim to gather complete information about the reaction or decay process, which allows them to fully reconstruct the event and analyze the dynamics involved.
Kinetic capillary electrophoresis (KCE) is an advanced analytical technique that combines the principles of capillary electrophoresis (CE) with kinetic analysis to separate and characterize biomolecules, such as proteins, nucleic acids, and small molecules. In KCE, the separation of analytes occurs based on their charge-to-mass ratio, similar to traditional capillary electrophoresis.
As of my last knowledge update in October 2023, Kinetic PreProcessor does not refer to a widely recognized technology, software, or tool in common use. It may be a specialized term or a product that has emerged more recently or is specific to a certain industry or organization. In a general context, a "preprocessor" in computer science typically refers to a tool that processes input data before it is sent to another program.

Pinned article: ourbigbook/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 5. . 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.
  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