Enrico Betti was an Italian mathematician known for his contributions to topology and algebraic topology, particularly in developing the concept of Betti numbers, which are used to classify topological spaces based on their connectivity properties. He was active in the 19th century, and his work laid foundational principles that are still used in modern mathematics.
Peter Landweber is a mathematician known for his work in the field of mathematical biology, particularly in the areas of evolutionary theory and computational biology. His research often involves the use of mathematical models to better understand biological processes and evolutionary dynamics.
Solomon Lefschetz (1884–1972) was a prominent mathematician known for his contributions to various fields, including algebraic topology, algebraic geometry, and differential equations. He is particularly famous for developing what is now known as Lefschetz duality, which relates the topological properties of a space to its cohomology.
The Atiyah-Bott formula is a significant result in the field of geometry and topology, particularly in the context of mathematical physics and the theory of characteristic classes. Specifically, it provides a formula for the integral of a certain cohomology class over the moduli space of complex structures on a manifold. At its core, the Atiyah-Bott formula gives a way to compute the Euler characteristic of the space of sections of a certain vector bundle.
Martin's Axiom is a principle in set theory, particularly in the area of forcing and the study of the continuum hypothesis. It states that if there is a partially ordered set (poset) that is *countably chain condition* (every family of mutually disjoint elements can be at most countable) and adds a subset of a given cardinality, then there exists a filter over that poset that produces a generic subset of the continuum.
"Failure to refer" is a term commonly used in legal and medical contexts, though its meaning can vary depending on the specific field. Generally, it refers to a situation where an individual, such as a healthcare provider or a professional, does not direct a patient or client to another expert or specialist when necessary, potentially resulting in harm or inadequate care.
As of my last knowledge update in October 2021, "GeoSpy" could refer to different concepts or tools related to geographic information systems (GIS), geolocation technologies, or data analytics, but there hasn't been a widely recognized platform or tool specifically known as "GeoSpy." It's possible that "GeoSpy" refers to a specific software application, a project, or a service that has emerged since then.
Supervenience is a philosophical concept that describes a relationship between different sets of properties or facts, often used in discussions about the relationship between the mental and the physical, or between moral properties and non-moral properties. The idea is that if one set of properties (the supervenient properties) changes, there must be a change in the other set of properties (the subvenient properties) as well.
A Hilbert system is a type of formal proof system used in mathematical logic and proof theory. Named after the mathematician David Hilbert, it is characterized by a set of axioms and inference rules that allow for the derivation of logical statements. Hilbert systems are typically structured to provide a framework for proving theorems in propositional logic and first-order logic.
Joseph Omer Joly de Fleury (1797–1865) was a French politician and member of the French government during the July Monarchy (1830–1848). He is notable for serving as a member of the Chamber of Deputies in France and was involved in various political activities during his career.
A session key is a temporary encryption key used to encrypt and decrypt information exchanged during a single communication session between two parties. This method ensures that each session has its own unique key, which helps enhance security. Session keys are primarily used in various cryptographic protocols, including Transport Layer Security (TLS), Secure Sockets Layer (SSL), and other secure communication systems.
Computer security standards refer to a set of guidelines, best practices, and specifications aimed at ensuring the confidentiality, integrity, and availability of information systems. These standards serve to protect computers and networks from unauthorized access, use, disclosure, disruption, modification, or destruction. ### Key Elements of Computer Security Standards: 1. **Confidentiality**: Ensuring that sensitive information is accessed only by authorized users.
InfoSec Twitter refers to a community on the social media platform Twitter that focuses on topics related to information security (InfoSec). This space includes cybersecurity professionals, researchers, educators, and enthusiasts who share insights, news, best practices, and discussions about security threats, vulnerabilities, tools, and technologies. Key characteristics of InfoSec Twitter include: 1. **Real-time Discussions**: Professionals share and discuss the latest security threats, news, incidents, and trends as they happen.
ISO 31-10 is part of the ISO 31 series, which pertains to the international standardization of physical quantities and units. Specifically, ISO 31-10 deals with the topic of "Space and Time." This standard outlines the definitions and recommended units for various measurements related to space (such as length, area, volume) and time, ensuring consistency and clarity in scientific communication across different fields and disciplines.
"Analysis and Applications" can refer to a range of concepts depending on the context. Here are a few interpretations across different fields: 1. **Mathematics (Real/Complex Analysis)**: In mathematics, analysis typically deals with the study of limits, continuity, differentiation, integration, and sequences. Applications can involve using these concepts in various fields such as physics, engineering, economics, and statistics.
The 157th meridian east is a line of longitude that is located 157 degrees east of the Prime Meridian, which is the zero-degree longitude line that runs through Greenwich, England. Like all lines of longitude, the 157th meridian runs from the North Pole to the South Pole. The 157th meridian east passes through the Pacific Ocean and some islands including parts of the Aleutian Islands of Alaska.
The 56th meridian east is a line of longitude that is 56 degrees east of the Prime Meridian, which runs through Greenwich, London. This meridian runs from the North Pole to the South Pole and passes through several countries in Eastern Europe, Asia, and the Indian Ocean. To break it down a bit further, the 56th meridian east passes through parts of: 1. **Russia** - It crosses through the Ural Mountains and part of Siberia.
The 92nd meridian west is a line of longitude that is 92 degrees west of the Prime Meridian, which runs through Greenwich, England. This meridian runs from the North Pole to the South Pole, passing through various regions in the United States as well as parts of Canada and Central America. In the United States, the 92nd meridian west travels through several states, including Minnesota, Iowa, Missouri, Arkansas, Louisiana, and into the Gulf of Mexico.
"Orders of magnitude" is a way to compare quantities in terms of powers of ten. In the context of frequency, it refers to the scale or range of frequencies expressed in powers of ten. This method is often used in scientific and technical fields to succinctly represent and compare vastly different frequencies, from very low frequencies (like those in the sub-hertz range) to very high frequencies (like those in the gigahertz range or higher).
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!
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