Donald A. Martin is a prominent mathematician known for his work in set theory, particularly in the areas concerning forcing, large cardinals, and the foundations of mathematics. He has contributed significantly to the understanding of models of set theory and their properties. If you were looking for information about a different Donald A.
As of my last knowledge update in October 2021, Eric Charles Milner is not a widely recognized public figure, and there may not be significant available information on him. It's possible that he could be an author, academic, or professional in a specific field.
Harvey Friedman is a well-known mathematician, particularly recognized for his work in mathematical logic, set theory, and the foundations of mathematics. He has made significant contributions to topics such as reverse mathematics, large cardinals, and the philosophy of mathematics. Friedman's research often explores the relationships between various mathematical theories and the complexities involved in formal proofs. In addition to his theoretical work, he is also known for his engagement with the mathematical community, including teaching and mentoring students.
Lyudmila Keldysh is a name associated with several notable figures, most prominently with the Russian mathematician and physicist Lyudmila Keldysh (or Lyudmila Keldysh-Udivanova). She is known for her contributions to various fields in mathematics and physics, particularly in the areas of approximation theory and mathematical physics.
In mathematics, particularly in set theory, a **reflecting cardinal** is a type of large cardinal. A cardinal number \( \kappa \) is considered a reflecting cardinal if it has the property that every property that can be expressed in the language of set theory that is true for all larger cardinals is also true for \( \kappa \) itself, provided that the property holds for some set of size greater than \( \kappa \).
Robert M. Solovay is an American mathematician known for his contributions to set theory, logic, and mathematical foundations. He was born on March 22, 1938. Solovay is particularly recognized for his work on forcing and the independence of certain propositions from the standard axioms of set theory, such as the Continuum Hypothesis. He has made significant contributions to the understanding of large cardinals and their relationships with other set-theoretic concepts.
Thomas Forster is a mathematician known for his work in the areas of logic, set theory, and category theory. He has made contributions to the understanding of various mathematical structures and concepts. Forster is also known for his publications, which include research papers and books that explore the foundations of mathematics and mathematical logic. One notable work of his is "Logic, Computability and Randomness," which discusses topics related to computability theory, randomness, and the foundations of mathematics.
W. Hugh Woodin is a prominent mathematician known for his work in set theory, particularly in areas related to large cardinals, determinacy, and the foundations of mathematics. He has made significant contributions to our understanding of the continuum hypothesis and the nature of infinite sets. Woodin is particularly noted for introducing the concept of "Woodin cardinals," which are a type of large cardinal that have significant implications in set theory and the study of the foundations of mathematics.
Leray's theorem, often referred to in the context of topology or functional analysis, generally pertains to the existence of solutions for certain types of partial differential equations (PDEs) or, more broadly, variational problems. One of the prominent formulations of Leray's theorem deals with the existence of weak solutions for the Navier-Stokes equations, which describe the motion of fluid substances.
Surat Shabd Yoga is a spiritual practice and meditation technique found primarily in the Sant Mat and similar spiritual traditions. The term can be broken down into several components: 1. **Surat**: Refers to the attention or consciousness of the individual soul. 2. **Shabd**: Literally means "sound" or "word," representing the divine sound or the spiritual essence that connects the practitioner to higher states of consciousness or the divine source.
There are several reputable sewing machine brands known for their quality and reliability. Here are some of the most recognized brands in the industry: 1. **Singer** - One of the oldest and most popular brands, known for a wide range of sewing machines suitable for beginners to advanced users. 2. **Brother** - Offers a variety of machines for different skill levels, known for their ease of use and innovative features.
A buttonholer is a tool or attachment used in sewing, designed specifically for creating buttonholes in fabric. It can be a standalone device, a feature on sewing machines, or an accessory that attaches to a machine. There are various types of buttonholers, including manual and automatic options, but their main function remains the same: to cut and stitch a precise opening in the fabric that is the right size for a button to pass through.
"Silhouettes" can refer to a few different things depending on the context: 1. **Artistic Representation**: In art, a silhouette is a dark shape or outline of a person, animal, object, or scene that is filled in with a solid color, typically black, against a lighter background. This form of art emphasizes the outline and contours of the subject rather than detailed interior features.
"Brain Music" can refer to a few different concepts depending on the context, but it generally pertains to the interrelation between music and the brain. Here are a few interpretations: 1. **Neurological Response to Music**: This refers to the study of how music affects brain structure and function. Research in this area explores how listening to or playing music can influence cognitive function, mood, and even physical health.
"Shadow play" can refer to several different concepts depending on the context: 1. **Theatrical Performance**: In a traditional sense, shadow play refers to a form of storytelling where characters and scenes are created using shadows cast by objects or cut-out figures in front of a light source. This technique is often used in puppet shows and is prominent in various cultures around the world, such as the Indonesian "wayang kulit" and the Chinese "shadow play.
Flat topology, also known as flat networking or flat architecture, refers to a network design approach that uses a single, unified network structure without significant segmentation or hierarchy. In a flat topology, all devices (such as computers, servers, and networking equipment) are connected to a single shared network segment, allowing them to communicate directly with one another without the need for intermediary layers (like routers or switches).
In category theory, a **direct image functor** is a concept that arises in the context of functors between categories, particularly when dealing with the theories of sheaves, topology, or algebraic geometry.
In algebraic geometry and sheaf theory, an **injective sheaf** is a type of sheaf that has properties analogous to those of injective modules in the category of modules. To understand injective sheaves, it's useful to consider their role in the context of sheaf theory and derived functors.
Edwin F. Kalmus is a music publishing company known for its extensive catalog of classical music scores. Founded by Edwin F. Kalmus, the company is notable for producing high-quality printed music for a variety of ensembles, including orchestras, bands, and chamber groups. They publish works by many classical composers and are often recognized for their contributions to making classical music more accessible to musicians and educators.
John Cole is primarily known as an American music publisher and the founder of Cole Publishing Company, which has been active in the music industry. The company specializes in publishing and promoting songwriters’ works, alongside managing various aspects of music rights and licensing.
 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





