Lithospheric flexure refers to the bending or deformation of the Earth's lithosphere (the rigid outer layer of the Earth) in response to various forces, such as sediment loading, tectonic activity, or glacial weight. This phenomenon occurs when the lithosphere behaves elastically, meaning it can deform under stress but will not yield permanently like more ductile layers below it, such as the asthenosphere.
Littlewood's three principles of real analysis, proposed by mathematician J.E. Littlewood, are informal but powerful heuristics that can guide the understanding and analysis of real functions and sequences. Though they are not formal theorems, they serve as useful guidelines for approaching problems in real analysis.
"Load" can refer to various concepts depending on the context, but in general terms, it refers to a force or weight that is applied to a structure or system. Here are a few specific contexts in which the term "load" is commonly used: 1. **Structural Engineering**: In this field, "load" typically refers to the weight or force exerted on a structure, such as a building or bridge.
Local analysis is a term that can refer to a variety of analyses depending on the context in which it is used. Generally, it involves examining a specific subset of data or a particular area with a focus on detailed, localized insights. Here are a few contexts where local analysis might apply: 1. **Statistical Analysis**: In statistics, local analysis can refer to examining data within a limited geographic area or a specific subgroup rather than looking at data trends on a larger, more generalized scale.
The term "local field" can refer to different concepts in different contexts, including mathematics, physics, and other fields. Here are two common meanings: 1. **Local Fields in Number Theory**: In the context of algebraic number theory, a local field is a complete field with respect to a discrete valuation, which is often associated with the study of numbers in number fields. These fields are typically used to examine the local properties of arithmetic objects.
In the context of mathematics, particularly in number theory and algebra, **local fields** are a class of fields that are used to study number systems with a focus on their local properties. Local fields have a topology that is defined by a valuation, which provides a notion of 'size' or 'distance' in the field.
In commutative algebra, localization is a process that allows us to focus on particular aspects of a ring by "inverting" certain elements. It provides a way to create new rings from a given ring by considering a subset of its elements to be invertible.
Local nonsatiation is an economic concept that refers to a preference structure where, at any given consumption level, an individual can find a consumption bundle that they prefer more than their current one, no matter how much of a good they already have. This means that for any combination of goods, there exists nearby alternatives that yield higher satisfaction or utility. In simpler terms, local nonsatiation implies that consumers are never completely satisfied with what they have and can always find something better if they look closely.
Locata Corporation is a company that specializes in the development and provision of advanced positioning technologies. Founded in the 1990s, Locata focuses on solutions that offer precise location tracking and navigation, particularly in environments where traditional Global Navigation Satellite Systems (GNSS), like GPS, may not be effective due to obstructions or interference, such as indoor spaces or urban canyons. The company's technology includes the use of ground-based transmission systems that can provide highly accurate positioning services.
The Lockheed WC-130 is a military weather reconnaissance aircraft, originally developed as a variant of the Lockheed C-130 Hercules transport aircraft. The WC-130 is specifically designed to gather meteorological data, particularly in the context of hurricane reconnaissance and other severe weather monitoring. Key features of the WC-130 include: 1. **Role**: The primary mission of the WC-130 is to collect atmospheric data in and around tropical storms and hurricanes.
Lodestone is a naturally occurring mineral form of magnetite, which is an iron oxide with the chemical formula Fe3O4. It is known for its magnetic properties and can attract small pieces of iron and steel. Lodestone is significant not only for its magnetic characteristics but also for its historical use in navigation; ancient navigators would use lodestones as compasses, taking advantage of their ability to align with the Earth's magnetic field.
"Logic Made Easy" is a book written by the philosopher and logician, Deborah J. Bennett. It serves as an introductory text on formal logic, aiming to make the subject accessible to a wider audience. The book covers various aspects of logic, including syllogisms, propositions, and logical reasoning, using clear explanations and examples. Bennett's approach emphasizes practical applications of logic in everyday life and decision-making, as well as its importance in critical thinking.
Alison Marsden is a notable figure in the field of biomedical engineering, particularly recognized for her work in computational modeling of cardiovascular systems. She is known for her contributions to understanding heart and vascular mechanics through simulations and modeling techniques. Marsden's research often focuses on improving the understanding of cardiovascular diseases and enhancing medical devices related to heart health.
The London Mathematical Society (LMS) is a learned society based in the United Kingdom that promotes the study and teaching of mathematics. Founded in 1865, it is one of the oldest mathematical societies in the world. The LMS fosters mathematical research, organizes conferences and lectures, publishes mathematical journals, and provides resources and support for mathematicians at all stages of their careers.
The long scale and short scale are two systems for naming large numbers, particularly those above a million. The main difference between the two systems lies in how they denote the value of a billion and larger numbers. ### Short Scale In the short scale, each new term greater than a million is one thousand times the previous term.
A **loop invariant** is a property or condition that holds true before and after each iteration of a loop in a computer program. It is used primarily in the context of program correctness and formal verification to help understand and prove that a loop behaves as intended. The concept of a loop invariant is important in analyzing loops for correctness, particularly when applying proofs by induction.
Bacterial initiation factors are proteins that play crucial roles in the initiation phase of protein synthesis (translation) in bacteria. The process of translation begins with the assembly of the ribosome on the messenger RNA (mRNA) molecule, and initiation factors facilitate this process by helping to position the ribosome correctly and ensuring that the translation machinery operates efficiently.
Loop representation is a conceptual and mathematical framework used primarily in the context of quantum gauge theories and quantum gravity. It emerges from attempts to quantize these theories, especially when dealing with the complexities arising from gauge invariance and non-abelian gauge groups. Here’s an overview of its significance and structure: ### Overview of Loop Representation 1. **Gauge Theories**: Infield theories, gauge symmetries, and associated gauge groups play a vital role.
Lorenzo Alvisi is an Italian computer scientist known for his contributions to distributed computing, particularly in the fields of fault tolerance, algorithm design, and system architecture. He is often recognized for his work in consensus protocols, replication, and the design of scalable distributed systems. His research has had a significant impact on the development of reliable systems and they are widely cited in academic literature.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - Infinitely deep tables of contents:
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