Bernard Morin could refer to various individuals or contexts, as it is a relatively common name. In some cases, it might refer to a professional in fields such as academia, business, or the arts. However, without specific context, it's difficult to pinpoint exactly who or what is being referenced.
Elisenda Grigsby is not a widely recognized public figure or term as of my last update in October 2023. It's possible that she could be a private individual or a fictional character, or that she has become more prominent after my last knowledge update.
Greg Kuperberg is a mathematician known for his work in various areas of mathematics, including geometry, combinatorics, and quantum topology. He has made significant contributions to the understanding of mathematical objects such as knots and representations of quantum groups. He is also recognized for his work on the Kuperberg families of knot invariants, which relate to the study of 3-manifolds and their properties. Additionally, Kuperberg has been involved in mathematical outreach and education.
Ivan Smith is a mathematician known for his work in the field of mathematics, particularly in geometry and topology. He has made contributions to areas such as minimal surfaces and related fields. He is affiliated with various academic institutions and has published numerous papers in mathematical journals. His research often involves complex mathematical concepts and has implications in both theoretical and applied mathematics.
Martin Scharlemann is an American mathematician known for his work in topology, particularly in the areas of low-dimensional topology and knot theory. He has made significant contributions to the understanding of 3-manifolds and has worked on various aspects related to Heegaard splittings and the topology of surfaces.
Rachel Roberts is a mathematician known for her work in the field of mathematics, particularly in the areas of algebra and combinatorics. She has contributed to several mathematical topics, including research on combinatorial structures and their applications. In addition to her research, she is involved in mathematics education and advocacy, aiming to promote mathematical understanding and engagement among students.
Robert W. Brooks could refer to multiple individuals, as it is a relatively common name. However, one notable person by that name is an American mathematician recognized for his work in topology and related areas.
As of my last knowledge update in October 2021, I don't have specific information about an individual named Serguei Barannikov. It's possible that he may be a contemporary figure or someone not widely known in public domains or media. If you could provide more context or details about who he is or what field he is associated with, I might be able to help you better.
The loop braid group is a mathematical structure that arises in the study of braided structures in topological spaces, particularly in the context of knot theory and algebraic topology. It generalizes the concept of braid groups, which are groups that capture the algebraic properties of braiding strands in a plane.
The Lusternik–Schnirelmann (LS) theorem is a result in the field of topology and calculus of variations, specifically in the context of critical point theory. It has significant implications in the study of the topology of manifolds and in variational methods. The LS theorem asserts that if a manifold is compact and has a certain topological dimension, then there exists a non-empty set of critical points for any smooth function on that manifold, provided the function satisfies certain conditions.
Harry J. Khamis is a researcher and academic known primarily for his work in the fields of technology and engineering. He has contributed to various studies and advancements in these areas.
BSIM (Berkeley Short-channel IGFET Model) is a widely used compact model for simulating the electrical characteristics of MOSFETs (Metal-Oxide-Semiconductor Field-Effect Transistors). Developed at the University of California, Berkeley, BSIM provides a mathematical framework to accurately predict the behavior of short-channel devices, which are increasingly common in modern semiconductor technology.
"Transport by location" typically refers to the methods or systems of transportation that are available or utilized in a specific geographic area. This concept covers various aspects, including: 1. **Types of Transport**: The modes of transport available in a location, such as road, rail, air, water (shipping), and public transit options (buses, trams, subways).
The deep biosphere refers to a vast and often underexplored realm of life existing deep below the Earth's surface, typically found in sediments, rocks, and subsurface environments. It encompasses microbial ecosystems that thrive in extreme conditions, far removed from sunlight and traditional energy sources. These microorganisms, which include bacteria and archaea, can be found at depths of several kilometers beneath the Earth's crust, where they interact with minerals, rocks, and geological processes.
The concept of "double truth" refers to the idea that two contradictory statements can both be true in different contexts or frameworks. This notion has been discussed in various philosophical, theological, and literary contexts. One of the most notable historical uses of the term relates to the medieval scholastic philosophers, particularly those influenced by Aristotle and the later developments in Christian theology. The idea suggests that religious truths can coexist with philosophical or scientific truths, even if they appear to be contradictory.
Customary units of measurement refer to a system of measurement that is primarily used in the United States. This system includes various units for measuring length, weight, volume, and temperature.
The unit of radioactivity is called the **becquerel (Bq)**. One becquerel is defined as one disintegration (or decay) per second. In addition to the becquerel, other units have historically been used, including the **curie (Ci)**, where 1 curie is equivalent to 3.7 × 10^10 disintegrations per second.
The O'Connell effect refers to a phenomenon in the field of geophysics, specifically related to the behavior of electromagnetic waves in the presence of a magnetic field. It describes the way in which the polarization of electromagnetic waves can be altered due to interactions with charged particles in a plasma or magnetized environment. This effect is particularly significant in the study of space weather and can have implications for understanding the behavior of solar particles in the Earth's magnetosphere.
The Windisch–Kolbach unit is a unit of measurement used in the field of medicine, specifically to quantify the activity of certain enzymes, such as lipases. It is named after the researchers Franz Windisch and G. Kolbach, who contributed to the understanding of enzyme activity and its measurement. In the context of clinical biochemistry, the Windisch–Kolbach unit may be used to express the concentration of an enzyme in a solution or the enzyme activity in a given sample.
In mathematics, particularly in abstract algebra, a **group** is a set equipped with a binary operation that satisfies four fundamental properties: closure, associativity, identity, and inverses. When we say "group with operators," we typically refer to a group that has a specific operation defined on its elements.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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