Michael Hochberg is a name that could refer to multiple individuals, but one prominent figure is a theoretical biologist known for his work in evolutionary dynamics, population genetics, and the study of biodiversity. He has made significant contributions to understanding the interactions between evolution and ecology, particularly concerning the dynamics of infectious diseases and ecological systems.
A non-bonding orbital is an atomic or molecular orbital that does not participate in the bonding between atoms in a molecule. In molecular orbital theory, when atomic orbitals combine, they can form bonding orbitals, antibonding orbitals, and non-bonding orbitals: 1. **Bonding Orbitals**: These orbitals are lower in energy than the contributing atomic orbitals, and they promote stability by allowing electron density to be concentrated between the nuclei of the bonded atoms.
The Law of Non-Contradiction is a fundamental principle of classical logic that states that contradictory statements cannot both be true at the same time and in the same sense. Formally, it can be expressed as: - For any proposition \( P \), it is not the case that both \( P \) and its negation \( \neg P \) are true simultaneously. In logical terms: \( \neg (P \land \neg P) \).
Tolman's rule, also known as Tolman's principle, is a concept in statistical mechanics that pertains to the behavior of chemical systems, particularly in the context of phase transitions and equilibrium. Named after physicist Richard Tolman, the rule suggests that in a system at equilibrium, the chemical potential of all components must be equal throughout the system, including at the interfaces between different phases. In terms of a more practical application, Tolman's rule implies that: 1. For various phases of a substance (e.
"Suanfa Tongzong" (算法通宗) is a Chinese mathematical work written by the mathematician Yang Hui during the Song Dynasty (960–1279 AD). The title translates to "Comprehensive Guide to Mathematical Methods." This book is significant for its contributions to mathematics, particularly in the fields of algebra and arithmetic. "Suanfa Tongzong" is notable for its systematic approach to mathematical principles.
Millman’s theorem is a principle used in electrical engineering, particularly in the analysis of electrical circuits. It provides a method to simplify the calculation of voltages at specific nodes within a circuit that can be represented by multiple voltage sources and resistors connected to a common node.
Richard Hamming was an American mathematician and computer scientist, known for his significant contributions to information theory, computer science, and numerical methods. He was born on April 11, 1915, and died on January 7, 2020. Hamming is perhaps best known for developing the Hamming code, a method for error detection and correction in digital communication and data storage, which allows computers to detect and correct errors that may occur during data transmission.
Infinite chess is an extension of traditional chess played on an infinite chessboard, meaning there are no borders or edges to the board. This allows for an endless range of movement and strategies, as pieces can continue to move indefinitely in any direction without constraint. In infinite chess, the basic rules of chess apply, but there are some adjustments to accommodate the vastness of the board.
Engineering tolerance refers to the permissible limits of variation in a physical dimension or measured value of a manufactured part or system. It defines how much a dimension, such as length, width, height, or weight, can deviate from the specified value, while still allowing the part to function properly in its intended application. Tolerances are crucial in engineering and manufacturing because: 1. **Fit and Function**: They ensure that parts fit together correctly and operate as intended.
"Toads and Frogs" typically refers to a mathematical counting game or puzzle that involves two types of tokens or pieces representing toads and frogs. The classic version of the game involves moving these tokens across a board with certain rules, often simulating the movement of two species on opposite sides of a linear board. The objective is usually to bring the frogs and toads to their respective sides by jumping over one another or swapping places, which teaches counting, strategy, and problem-solving skills.
It seems you might be referring to Solomon Asch's famous experiments on conformity or perhaps the "Milgram experiment" conducted by Stanley Milgram. The Milgram experiment, conducted in the early 1960s, explored the conflict between obedience to authority and personal conscience.
Bruce Sagan is a mathematician known for his work in combinatorics, algebra, and related areas of mathematics. He has contributed to various topics, including graph theory and the theory of discrete structures. Sagan is also recognized for his educational efforts, particularly in producing textbooks and research publications that help disseminate knowledge in mathematical sciences.
Newell's algorithm is a method used primarily in computer graphics for hidden surface removal (HSR) and rendering in 3D graphics. Named after the computer scientist, Robert Newell, this algorithm is based on the idea of scanline rendering, where surfaces are processed in a manner that allows for efficient visibility determination.
Curtis Greene could refer to different things depending on the context. Most commonly, it might refer to a person, such as an author, academic, or public figure with that name. However, if you are referring to a specific event, place, or work associated with Curtis Greene, additional context would be necessary to provide an accurate answer.
Dominique Foata is a French mathematician known for his contributions to combinatorial mathematics and particularly to the field of combinatorial theory and enumeration. He has worked on various topics, including generating functions, combinatorial identities, and applications of combinatorics in other areas of mathematics. Foata is also recognized for his work on permutations and their properties.
Hugo Hadwiger was a notable Swiss mathematician known for his contributions to several areas of mathematics, particularly in the fields of topology, geometry, and graph theory. He is perhaps best known for Hadwiger's theorem and Hadwiger's conjecture, which relate to the properties of graph colorings and the connections between different types of geometric figures. His work has had a lasting impact on mathematical research and theory.
The Australasian Journal of Combinatorics is a peer-reviewed academic journal that focuses on research in combinatorics, which is a branch of mathematics dealing with the counting, arrangement, and combination of objects. Established in 1990, the journal publishes original research papers, survey articles, and other contributions related to various aspects of combinatorial theory and applications.
A "partial word" generally refers to a segment or piece of a word that is not complete. It can involve a few letters of a word that may not fully convey its meaning or pronunciation. Partial words are often used in contexts such as: 1. **Word Formation**: When creating new words or forms, prefixes or suffixes might be considered partial words.
The \( Q \)-theta function is a special function that is a generalization of the classical theta functions and appears in various areas of mathematics, particularly in number theory, combinatorics, and the theory of partitions.
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





