The Robertson–Seymour theorem, a significant result in graph theory, is a foundational result in the study of graph minors. Formulated by Neil Robertson and Paul D. Seymour in a groundbreaking series of papers from the late 20th century, the theorem states that: **Any minor-closed family of graphs can be characterized by a finite set of forbidden minors.
Armin Moczek is an American evolutionary biologist known for his research on the evolution of morphological diversity, particularly in the context of insect development and adaptive radiation. He is a professor at Indiana University and has contributed significantly to the field through studies on the evolution of traits in organisms, including the role of genetic and ecological factors in shaping diversity. Moczek's work often involves the use of model organisms, such as beetles, to explore the underlying mechanisms of evolutionary change.
MacMahon's Master Theorem is a mathematical tool used in the analysis of combinatorial structures, particularly in the enumeration of various combinatorial objects. While it's not as widely known as some other results in combinatorics, it provides a framework for counting partitions, arrangements, and related structures using generating functions. The theorem is named after the British mathematician Percy MacMahon, who made significant contributions to the theory of partitions and generating functions.
Angela McLean is a prominent biologist known for her work in the field of evolutionary biology and theoretical biology. She has contributed significantly to understanding the dynamics of infectious diseases and the evolution of host-parasite interactions. Her research often combines mathematical modeling with biological insights, exploring topics such as the evolution of virulence, the spread of infectious diseases, and the ecological and social factors affecting these processes. McLean has been associated with notable institutions and has published many peer-reviewed articles in scientific journals.
Claus Emmeche is a Danish biologist known for his work in various fields, including philosophy of biology, cognitive science, and the study of complex systems. He has contributed to discussions about the nature of life, the relationship between biology and philosophy, and the implications of biological research for understanding consciousness and cognition. Emmeche has published several scholarly articles and has been involved in interdisciplinary research projects that bridge the gap between science and philosophy.
Jakob Johann von Uexküll (1864–1944) was a significant figure in the fields of biology and philosophy, best known for his work in biosemiotics and the study of animal behavior. He is often credited with introducing the concept of the "Umwelt," which refers to the self-centered world or "environment" that an organism perceives and interacts with. This concept emphasizes that different species perceive their environments in unique ways based on their sensory and cognitive capacities.
Motoo Kimura was a prominent Japanese evolutionary biologist known for his contributions to the field of population genetics. He is best known for proposing the **neutral theory of molecular evolution** in the 1960s. This theory suggests that the majority of genetic mutations that occur in a population are neutral, meaning they do not confer any significant advantage or disadvantage to an organism's survival or reproduction.
Robert May, Baron May of Oxford, is an eminent British scientist known for his significant contributions to the fields of ecology and theoretical biology. Born on April 8, 1936, he is particularly recognized for his work in mathematical ecology, biodiversity, and the dynamics of ecosystems. He served as the Chief Scientific Adviser to the UK government and held the position of President of the Royal Society from 2000 to 2005.
Evert Jan Baerends is a Dutch theoretical chemist known for his contributions to the field of computational chemistry and materials science. He is particularly noted for his work on the development of theoretical methods and tools for studying electronic structures, including density functional theory (DFT). Baerends has published extensively on topics related to quantum chemistry and has been involved in various academic and research initiatives throughout his career.
Frank A. Weinhold may refer to a specific individual known for contributions in a certain field, likely in academia or research, given that I don't have specific information on him. As of my last update in October 2021, he was recognized in the domain of chemistry, particularly in the context of chemical education and organometallic chemistry.
Santiago Schnell is a prominent figure known primarily for his work in the field of mathematical biology, particularly in the study of biological systems and their dynamics. He focuses on topics like enzyme kinetics, cellular processes, and the mathematical modeling of biological phenomena. Schnell has also contributed to the development of computational tools and approaches for analyzing biochemical networks.
Stephen Altschul is a prominent figure in the field of computational biology and bioinformatics. He is known for his work on the development of algorithms and methodologies for analyzing biological data, particularly in the context of sequence alignment and phylogenetic analysis. One of his significant contributions is the development of the BLAST (Basic Local Alignment Search Tool) algorithm, which is widely used for comparing sequences of DNA, RNA, and proteins.
The Journal of Chemical Theory and Computation (JCTC) is a peer-reviewed scientific journal that focuses on the application of computational methods to the field of chemistry.
The nuclear ensemble approach is a concept used in nuclear physics and statistical mechanics to describe the behavior of a large collection of nuclear systems. It is particularly relevant when dealing with systems where quantum effects and statistical distributions play a significant role, such as in models of nuclear structure and reactions. In essence, the nuclear ensemble approach can be understood as follows: 1. **Ensemble of States**: Instead of considering a single nuclear state, the nuclear ensemble approach looks at a statistical mixture of many possible nuclear configurations.
Christopher Longuet-Higgins was a prominent British scientist known for his contributions to the fields of cognitive science, psychology, and neuroscience. He is particularly notable for his work in the understanding of perception, cognitive processes, and the intersection of these with artificial intelligence. Longuet-Higgins has published extensively on topics such as visual perception, the processing of auditory information, and the theoretical foundations of cognitive models.
David Tannor is a name that could refer to various individuals, but one notable person associated with this name is a physicist known for his contributions to the field of laser science and molecular optics. He has conducted research in areas such as ultrafast phenomena and the interaction of light with matter.
Gernot Frenking is a prominent chemist known for his work in theoretical and computational chemistry. His research often focuses on the study of electronic structures, reaction mechanisms, and molecular properties using quantum chemical methods. Throughout his career, Frenking has contributed to the understanding of chemical bonding and molecular interactions, and he has published numerous papers in scientific journals. His contributions also extend to the development and application of computational tools in chemistry.
Henry F. Schaefer III is a prominent American theoretical chemist known for his work in computational chemistry and molecular modeling. He has made significant contributions to the field of chemistry, particularly in the development of methods and software for predicting the properties and behaviors of molecules. Schaefer has held positions in academia, including a faculty role at the University of Georgia, where he has been influential in promoting research in quantum chemistry.
The Conference on Automated Deduction (CAD) is a scientific conference that focuses on research in the field of automated reasoning and formal methods. It provides a platform for researchers, practitioners, and students to present their work, share ideas, and discuss advancements in the area of automated deduction, which involves the use of algorithms and software to derive conclusions from premises using logical reasoning.
Linus Pauling (1901–1994) was an American chemist, biochemist, and peace activist, widely regarded as one of the most influential scientists of the 20th century. He is best known for his work in the fields of chemistry, quantum mechanics, and molecular biology.

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