Specific rotation is a physical property of optically active substances that measures the degree to which a compound can rotate the plane of polarized light. It is particularly important in the study of chiral molecules, such as many organic compounds and certain biomolecules.
The Natta projection is a stereochemical representation used to depict the three-dimensional arrangement of atoms in a polymer's repeating unit, particularly in the context of polymer chemistry where stereochemistry plays a significant role. Specifically, it is often associated with the structure of isotactic polypropylene, which is a type of polypropylene where all the methyl groups (–CH3) are arranged on the same side of the polymer chain.
A Newman projection is a way of visualizing the three-dimensional (3D) structure of organic molecules, particularly alkanes, in a two-dimensional (2D) format. It allows chemists to analyze the spatial arrangement of atoms and bonds around a specific bond between two carbon atoms. In a Newman projection, one looks straight down the axis of a particular bond (usually a carbon-carbon bond).
Noyori asymmetric hydrogenation is a chemical reaction developed by Japanese chemist Ryoji Noyori, which allows for the selective hydrogenation of prochiral ketones and other similar compounds to produce enantiomerically enriched alcohols. This reaction is particularly significant in the field of asymmetric synthesis, where the goal is to produce one specific enantiomer of a chiral product over the other.
P-Chiral phosphines are a class of chiral ligands that are characterized by the presence of a phosphorus atom that is stereogenic (chiral). This means that the phosphorus center can exist in two non-superimposable mirror image forms, leading to different spatial arrangements of substituents attached to the phosphorus atom. In the context of coordination chemistry and catalysis, P-chiral phosphines are particularly valuable because they can impart stereochemical information to reactions, thereby enabling asymmetric synthesis.
Protein primary structure refers to the unique sequence of amino acids that make up a protein. This sequence is determined by the genetic code and is crucial because it ultimately dictates how the protein will fold and function. Amino acids are linked together by peptide bonds to form a polypeptide chain, and the order of these amino acids is specified by the mRNA sequence during translation.
Pyramidal inversion is a phenomenon that occurs in certain molecules where the configuration of a chiral center can interconvert between two different arrangements. Specifically, this term is often used in the context of molecules that adopt a pyramidal geometry at a nitrogen or phosphorus atom. In a pyramidal structure, the central atom is bonded to three other atoms or groups in a manner that gives it a trigonal pyramidal shape, resembling a pyramid.
Racemic acid, also known as racemic tartaric acid, is a form of tartaric acid that consists of equal amounts of its two enantiomers: D-tartaric acid and L-tartaric acid. Tartaric acid is a naturally occurring organic acid that is commonly found in grapes and used in various food and beverage applications, particularly in winemaking.
The Skorokhod integral is a concept from the theory of stochastic calculus, specifically in the context of stochastic processes and integration with respect to semimartingales. It is named after the Russian mathematician R.S. Skorokhod, who made significant contributions to stochastic analysis.
Supramolecular chirality refers to the phenomenon of chirality that arises in supramolecular assemblies, which are larger-scale structures formed through non-covalent interactions such as hydrogen bonding, van der Waals forces, ionic interactions, and coordination bonds. Unlike molecular chirality, which is primarily a property of individual chiral molecules that lack an internal mirror symmetry, supramolecular chirality involves the collective behavior of multiple molecules arranged in a certain way.
The Ogawa integral is a mathematical construct that arises in various contexts, particularly in the field of applied mathematics and fluid dynamics. It is often associated with solutions to certain types of differential equations, especially in relation to integral transforms and functional analysis. However, the term "Ogawa integral" is not as widely recognized or defined as some other mathematical integrals, and it may not have a standard definition in the literature.
"Astronomica" is a Roman didactic poem written by the astrologer and poet Marcus Manilius in the 1st century AD, specifically during the reign of Augustus. The work is one of the few surviving texts on astrology from antiquity and consists of five books. It combines elements of astrology, astronomy, and philosophy, presenting a comprehensive view of the celestial bodies and their influence on human affairs.
The "Discourses" of Epictetus is a collection of teachings and philosophical discussions attributed to the Stoic philosopher Epictetus, who lived from approximately 55 to 135 CE. His teachings were transcribed and compiled by his student Arrian around the end of the first century.
Katalepsis is a term that originates from ancient Greek philosophy, particularly associated with the Stoics. It refers to the state of having a clear and distinct perception or understanding of an object or concept, often seen as equivalent to true knowledge or certainty. In Stoic thought, katalepsis signifies the moment when an idea or impression is so vivid and compelling that it is taken to be true and is not subject to doubt.
A "lazy argument" generally refers to a programming concept where an argument is passed to a function in a way that the computation or evaluation of that argument is deferred until it is actually needed. This is often used to improve performance or to handle infinite data structures, among other use cases. There are a few common contexts where this concept is applied: 1. **Lazy Evaluation**: This is a programming technique used in languages like Haskell, where expressions are not evaluated until their values are required.
The pedosphere is the outermost layer of the Earth that is composed of soil and includes the various processes that occur within that layer. It is one of the Earth's key spheres, along with the atmosphere (air), hydrosphere (water), lithosphere (rock), and biosphere (life). The pedosphere plays a crucial role in supporting life on Earth, as it serves as a medium for plant growth, a habitat for countless organisms, and a regulator of water and nutrient cycles.
The Boyer–Moore majority vote algorithm is an efficient algorithm used to identify the majority element in a list or array. An element is considered a majority if it appears more than half the times (i.e., \( \frac{n}{2} \) times, where \( n \) is the total number of elements) in the array.
Work hardening, also known as strain hardening, is a phenomenon that occurs in materials, particularly metals, where the material becomes stronger and harder as it is subjected to mechanical deformation. This process is a result of dislocation movements and interactions within the material's microstructure during deformation. When a metal is deformed (e.g., stretched, compressed, or bent), dislocations in its crystal structure move.
Jenny Glusker is not a widely known public figure or concept as of my last knowledge update in October 2023. It's possible that she could be a private individual, or that there might be specific contexts or fields (like academia, art, etc.) where she is relevant.
Bhabatarak Bhattacharyya is a prominent Indian physicist known for his contributions to the field of theoretical physics, particularly in areas such as quantum mechanics, condensed matter physics, and statistical mechanics. He is recognized for his academic work and research, as well as his role in teaching and mentoring students in physics.

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