Polyvalency, in chemistry, refers to the property of an element or compound to form multiple bonds with other atoms or ions. This term is often used in the context of elements that have multiple valence states, meaning they can lose or gain different numbers of electrons depending on the chemical environment. For example, elements like transition metals often exhibit polyvalency by being able to adopt multiple oxidation states (e.g., iron can exist as Fe²⁺ or Fe³⁺).
A sextuple bond refers to a type of chemical bond that involves the sharing of six pairs of electrons between two atoms. This is a rare bonding occurrence, primarily seen in certain transition metals. The concept of sextuple bonds is most commonly discussed in relation to metal complexes, particularly those involving heavy transition metals, such as rhenium and molybdenum.
Strain energy refers to the potential energy stored in a material when it is deformed due to applied forces. This energy is a consequence of the internal work done by the material to change its shape or size in response to stress. When an external load is applied, the material undergoes strain (deformation), and the energy required to produce that deformation is considered strain energy. In engineering and materials science, strain energy is critical for understanding the behavior of materials under load.
A solvation shell refers to the layer of solvent molecules that surround a solute particle in a solution. When a solute is dissolved in a solvent, such as salt in water, the solvent molecules organize themselves around the solute particles, forming these "shells" of solvent. The structure and dynamics of the solvation shell can significantly influence the properties of the solute, including its reactivity, solubility, and the kinetics of chemical processes.
As of my last knowledge update in October 2021, "Kopin Liu" does not appear to refer to a prominent individual, organization, or concept that is widely recognized. It's possible that it could be a name of a person or a term that has gained significance after that date or is not widely known in available public information.
Salvatore Torquato does not appear to be a prominent figure in widely known contexts as of my last update in October 2023. It's possible that he could be a lesser-known person, a fictional character, or a name that has emerged recently in news or popular culture.
"Clobber" can refer to different things depending on the context. Here are a few common interpretations: 1. **General Usage**: In informal English, "to clobber" means to hit someone hard or to defeat someone decisively. It can also imply overwhelming someone in a competition or argument. 2. **Programming**: In programming and computer science, "clobber" can refer to the act of overwriting existing data or variables, often unintentionally.
A game tree is a graphical representation used in game theory and artificial intelligence to depict the possible moves in a game and their consequences. It is a tree structure where: - Each node represents a game state, which includes the positions of the pieces, scores, and who's turn it is to move. - Each edge (or branch) represents a possible move that can be made from one game state to another. - The root of the tree represents the initial state of the game.
The concept of an "indistinguishability quotient" often arises in fields such as information theory, cryptography, and mathematical logic. It generally refers to a way to quantify the ability to distinguish between two or more entities, states, or outcomes based on available information. ### In General Terms: 1. **Indistinguishability**: This typically means that two items cannot be reliably differentiated given the available information.
Map-coloring games are combinatorial games that revolve around the classic problem of coloring a map in such a way that adjacent regions (or countries, states, etc.) do not share the same color. The objective is to determine how many colors are needed to color the map in a valid way, following the rules of the game.
E. T. Parker refers to a financial services company known for providing investment management, capital markets, and financial advisory services. However, if you're looking for information about a specific aspect of E. T.
Graham Brightwell is a mathematician known for his contributions to various areas of mathematics, particularly in the fields of combinatorics and graph theory. He has worked on topics such as random graphs, probabilistic methods in combinatorics, and the properties of different mathematical structures.
Basil Gordon is a term that doesn’t have a widely recognized or specific meaning. If you are referring to a person, I do not have specific information on an individual by that name, as it may refer to a private individual or a lesser-known figure.
Daniel Kleitman is an American mathematician and a professor of mathematics at the Massachusetts Institute of Technology (MIT). He is known for his contributions to various fields in mathematics, including combinatorics, number theory, and computer science. Kleitman is also recognized for his work in discrete mathematics and has authored numerous research papers and books in these areas. In addition to his academic achievements, he has served in various educational and administrative roles at MIT and is respected for his teaching and mentorship.
Gyula Y. Katona is a Hungarian mathematician known for his significant contributions to combinatorics and graph theory. He is especially recognized for his work on extremal combinatorics, which studies the optimal (or extreme) positions of structures like graphs or sets under certain constraints. Katona's research often involves topics such as set systems, intersection theorems, and various aspects of discrete mathematics.
Gábor Tardos is a Hungarian mathematician known for his work in various areas of combinatorics, including extremal combinatorics, graph theory, and discrete mathematics. He has made significant contributions to the fields of combinatorial optimization and probability theory as well. Tardos is also recognized for his collaborative work and has published numerous research papers and articles throughout his career.
Ilse Fischer is not widely recognized as a notable public figure or concept as of my last knowledge update in October 2023. It is possible that you might be referring to a specific individual who does not have a prominent public profile or to a fictional character from a story or media.

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