The category of topological vector spaces is denoted as **TVS** or **TopVect**. In this category, the objects are topological vector spaces, and the morphisms are continuous linear maps between these spaces.
Michael Barr is a mathematician known for his contributions to category theory and algebra. He is particularly recognized for his work in the area of algebraic topology and for co-authoring the influential textbook "Categories for the Working Mathematician" alongside Charles Wells. Barr has also been involved in research concerning the foundations of mathematics and has contributed to the field of mathematical education.
Andrée Ehresmann is a French mathematician known for her contributions to category theory and the development of the theory of "concrete categories." She has also explored connections between mathematics and various fields such as philosophy and cognitive science. Her work often emphasizes the role of structures and relationships in mathematical frameworks. Ehresmann is also known for her writings that advocate for the importance of understanding mathematical concepts from a categorical perspective.
Kenneth Brown is an American mathematician known for his contributions to topology and algebraic K-theory, particularly in the context of group theory and geometric topology. He has worked on various topics, including the study of group actions on topological spaces, as well as applications of K-theory in the context of algebraic groups and other areas. Brown's work often intersects with issues in pure mathematics that involve both algebra and topology, and he has published numerous papers and books throughout his career.
Mill's Methods refer to a set of five principles of inductive reasoning formulated by the British philosopher John Stuart Mill in the 19th century. These methods aim to establish causal relationships and are used in scientific inquiry and logical reasoning. The methods are: 1. **Method of Agreement**: If two or more instances of a phenomenon have only one circumstance in common, that circumstance is the cause (or effect) of the phenomenon.
Urs Schreiber is a theoretical physicist known for his work in the field of quantum gravity, particularly in the context of topological field theories and their mathematical underpinnings. He has contributed significantly to the understanding of the interplay between physics and mathematics, especially in areas such as category theory and algebraic topology. He is also known for his scholarly articles and texts that explore advanced concepts in theoretical physics and mathematics, making them more accessible to a wider audience.
The phrase "camel's nose" refers to a metaphorical concept often used to describe a situation where a small concession or allowance leads to larger, more significant demands or changes. The expression originates from the saying "If you let the camel's nose into the tent, the rest of the camel will follow." This suggests that allowing a minor issue to enter a situation can lead to larger problems or unwanted consequences down the line.
The term "Borussian myth" refers to a cultural and historical narrative that idealizes the region of Prussia (or Borussia in Latin) and its legacy, particularly in the context of German nationalism and identity. This myth often encompasses themes of military valor, disciplined governance, and the notion of Prussia as a bastion of order and civilization in Europe. Historically, Prussia was a significant European state that contributed to the unification of Germany in the 19th century.
Qai Qai is a plush doll that became popular as a social media sensation, particularly on Instagram. It was created by the family of tennis star Serena Williams and features a cute, smiling baby doll with a distinctive design. The doll is often associated with Williams' daughter, Alexis Olympia Ohanian Jr., and has become emblematic of motherhood and the experiences of parenting.
Determinism is a philosophical concept that posits that all events, including moral choices, are determined completely by previously existing causes. In other words, every state of affairs or event is the outcome of preceding states and conditions according to the laws of nature. This idea suggests that given an accurate knowledge of the present conditions and the laws governing them, the past and future states of the universe could be predicted with absolute certainty.
The Britney Spears doll is a collectible figure that was designed to resemble the pop icon Britney Spears. Various versions of the doll have been released, particularly during the peak of her career in the late 1990s and early 2000s. The doll often features Britney in her iconic outfits from music videos, performances, or public appearances. Collectors and fans of Britney Spears often seek out these dolls for their nostalgia and as memorabilia associated with the singer's influence in pop culture.
Idappaccayatā is a Pali term commonly translated as "conditionality" or "dependent origination." It is a central concept in Buddhist philosophy and refers to the idea that all phenomena arise in dependence on conditions and causes. This concept is closely linked to the Buddhist understanding of the nature of reality, particularly in relation to the interconnectedness of all things.
"Probable cause" is a legal standard used in the United States within the context of law enforcement and judicial procedures. It refers to a reasonable basis for believing that a crime may have been committed, or that a specific person may be involved in criminal activity. Probable cause is a necessity for law enforcement officers to obtain warrants for searches or arrests. In practical terms, probable cause requires more than mere suspicion but less than absolute certainty.
Teleology in biology refers to the explanation of biological phenomena by attributing purpose or goal-directedness to them. The term "teleology" comes from the Greek word "telos," meaning "end" or "purpose." In a biological context, teleological explanations often involve describing traits or behaviors of organisms in terms of their functions or the roles they play in the survival, reproduction, or overall fitness of the organism.
Lumicera is a specialty pharmaceutical company that focuses on developing innovative formulations and drug delivery systems for medications. The company is known for its proprietary technology, which allows for enhanced absorption, targeted delivery, and improved efficacy of various drug compounds. Lumicera aims to address unmet medical needs by creating products that can improve patient outcomes and quality of life.
A mechanical powder press is a type of industrial equipment used to compact powder materials into solid forms, often referred to as "pellets" or "tablets." These machines are commonly used in the manufacturing processes of various industries, including pharmaceuticals, ceramics, metals, and even in the production of some types of food products. ### Key Features and Components: 1. **Mechanism**: The mechanical powder press typically operates using a mechanical compression mechanism.
The mechanics of gelation concerns the physical and chemical processes that lead to the formation of a gel from a sol (a colloidal solution). Gelation typically involves a transition from a liquid state to a gel state, where the material exhibits both solid-like and liquid-like properties. This phenomenon is crucial in various fields, including materials science, food technology, pharmaceuticals, and biochemistry. ### Key Concepts in Mechanics of Gelation 1.
Nanophase ceramics are materials that are characterized by their nanoscale grain sizes, typically less than 100 nanometers. The term "nanophase" refers to the structural features of these ceramics at the nanoscale, which can significantly influence their physical, chemical, and mechanical properties. **Key characteristics of nanophase ceramics include:** 1.
A pin insulator is a type of electrical insulator used in overhead power lines, primarily for supporting conductors and preventing leakage of electric current to the supporting structures like poles or towers. Pin insulators are typically made from materials such as porcelain, glass, or polymer composites, which provide high insulating properties and mechanical strength.
The "Sea of Suf" is a term that appears in the context of various discussions, particularly in relation to geography and historical events. However, it is most commonly associated with the body of water known as the "Sea of Suf" or "Sea of Sufyan" in certain texts, which may refer to the Red Sea or other bodies of water in different cultural or historical accounts.
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





