The 12th century was a significant period for the development of mathematics, particularly in Europe, as it marked the beginning of the Western Renaissance in science and learning. During this time, several mathematicians and scholars contributed to the field, often through the translation and dissemination of works from the Islamic Golden Age and ancient Greek texts. Some noteworthy figures and developments in 12th-century mathematics include: 1. **Gerard of Cremona**: An influential translator, Gerard of Cremona (c.
The term "130 nm process" refers to a semiconductor manufacturing technology that has a feature size of approximately 130 nanometers. It is part of the progression of Moore's Law, which predicts that the number of transistors that can be placed on a microchip will double approximately every two years, leading to smaller and more powerful chips over time.
The 1561 celestial phenomenon over Nuremberg refers to a mysterious and notable event that occurred on April 14, 1561, in which residents of Nuremberg, Germany, reported seeing a large number of strange objects in the sky. This event was documented in a broadsheet published shortly afterward, which described a "battle" in the sky that involved various shapes and colors, including cylindrical and spherical objects.
The term "1.5 µm process" refers to a specific semiconductor fabrication technology node where the smallest features that can be reliably created on a silicon wafer are approximately 1.5 micrometers (µm) in size. This metric defines the minimum half-pitch of contactable features in integrated circuits (ICs), such as transistors, interconnects, and other components. ### Context and Significance: 1. **Technology Node**: The "1.
"Planetary spots" can refer to different concepts depending on the context. Here are a few interpretations: 1. **Astronomical Observations**: In astronomy, "planetary spots" could refer to specific features observed on planets, such as the Great Red Spot on Jupiter, which is a massive storm, or other atmospheric phenomena on gas giants like Saturn.
The Planet Hunters project is a citizen science initiative that allows amateur astronomers and the general public to help analyze light curves from the Kepler space telescope in order to identify new exoplanets. The team behind Planet Hunters has made several notable discoveries since its inception.
In computing, the term "1932" primarily relates to the size of data types and memory addressing within computer architectures. Specifically, "1932" can refer to the number of bits used in certain architectures, such as: - **32-bit architecture**: This architecture refers to the way data is processed by the CPU, where it can handle data types of 32 bits in size.
In the context of computing, "1939" often refers to the year when several significant developments occurred in the early history of computer science and technology. Some key events from that year include: 1. **Theoretical Foundations**: 1939 is notable for the work of mathematicians like Alan Turing, who laid the groundwork for modern computing through concepts of algorithms and computation. Turing's work during this period contributed to the development of what would later become formal computer science.
In control theory, a "plant" refers to the system or process that is being controlled or regulated. It can be any physical system, such as a mechanical device, electrical circuit, chemical process, or even a software system, which requires control systems to manage its behavior and performance. The characteristics of a plant can include: 1. **Inputs**: Variables that can be manipulated to influence the behavior of the system (e.g., forces, voltages, or flow rates).
The term "1950s software" generally refers to early computer programs and operating systems developed during the 1950s, a pivotal decade in the history of computing. This period saw the transition from theoretical concepts and large mainframe systems to the development of practical applications and programming techniques. Here are some key points related to 1950s software: 1. **Early Programming Languages**: The 1950s was when many foundational programming languages were created.
In mathematics, 1974 can be considered in various contexts: 1. **Number Properties**: It is an integer, specifically an even number. It can be factored into prime numbers: \(1974 = 2 \times 3 \times 7 \times 47\). 2. **Roman Numerals**: The year 1974 can be expressed in Roman numerals as MCMLXXIV.
The year 1992 was significant in the history of computing for several reasons, including technological advancements, software releases, and events that shaped the industry. Here are some key highlights from that year: 1. **Operating Systems**: Windows 3.1 was released by Microsoft in April 1992. It introduced updated graphics, improved performance, and support for multimedia, which bolstered the popularity of Windows as a desktop operating system.
In the context of computing, "2000" can refer to several different concepts, depending on the specific area of discussion. Here are a few possibilities: 1. **Windows 2000**: This was an operating system produced by Microsoft, released in February 2000. It was designed for both server and workstation use and was known for its improved stability and support for newer hardware compared to its predecessors.
Charge modulation spectroscopy (CMS) is a technique used to investigate the electronic properties of materials, particularly semiconductors and nanostructures. It involves the application of an external modulation of the charge carrier density to probe the material's response. The main goal of CMS is to gain insights into the interactions between charge carriers, such as electrons and holes, and to understand various physical phenomena such as transport properties, energy levels, and electronic band structure.
In the context of Wikipedia, "Seismology stubs" refers to short articles or entries related to seismology that contain limited information and are in need of expansion. A "stub" is a classification that indicates that an article is incomplete and could be greatly improved with additional content, references, or details. Seismology is the scientific study of earthquakes and the propagation of elastic waves through the Earth or other planet-like bodies.
In mathematics, particularly in the field of abstract algebra and category theory, the concept of a cokernel is an important construction that is used to study morphisms between objects (e.g., groups, vector spaces, modules, etc.).
In the context of universal algebra, a **locally finite variety** refers to a specific kind of variety of algebraic structures. A variety is a class of algebraic structures (like groups, rings, or lattices) defined by a particular set of operations and identities. A variety is called **locally finite** if every finitely generated algebra within that variety is finite.
A modular equation is an equation in which the equality holds under a certain modulus. In other words, it involves congruences, which are statements about the equivalence of two numbers when divided by a certain integer (the modulus).
In the context of group theory, particularly in the study of partially ordered sets and certain algebraic structures, a Garside element is a specific kind of element that helps in the organization and decomposition of the group. Garside theory is often associated with groups that are defined by generators and relations, such as Artin groups and certain types of Coxeter groups. A Garside element is typically defined in terms of a special ordering on the elements of the group.
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 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. - 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





