Environment variables are dynamic values that can affect the way running processes on a computer behave. They are part of the operating system's environment in which a process runs and can be used by applications to retrieve configuration information. Here are some key points about environment variables: 1. **Key-Value Pairs**: Environment variables are typically stored as key-value pairs (e.g., `PATH=/usr/local/bin`), where the key is the name of the variable and the value is its corresponding data.
In programming, an **uninitialized variable** refers to a variable that has been declared but not assigned a value before it is used in the program. The contents of an uninitialized variable can be unpredictable—meaning they may contain garbage values (random data from memory) or default values, depending on the programming language and its rules. Using an uninitialized variable can lead to undefined behavior, bugs, or unexpected results in a program.
One's complement is a method for representing signed integers in binary form. In this system, the negative value of a number is obtained by inverting all bits of its binary representation (i.e., changing all 0s to 1s and all 1s to 0s). Here are some key points about one's complement: 1. **Representation**: In a fixed-width binary representation (like 8-bit, 16-bit, etc.), positive numbers are represented normally.
A unary function is a function that takes a single argument or input value. In mathematical notation, a unary function can be represented as \( f(x) \), where \( f \) is the function and \( x \) is the single input. The key characteristic of a unary function is that it operates on just one variable. For example, common unary functions include: 1. **Square function**: \( f(x) = x^2 \) 2.
"Khayyam" is a play that revolves around the life and works of the renowned Persian poet, mathematician, and astronomer Omar Khayyam. While specific details about the play may vary depending on the adaptation or interpretation, it typically explores themes such as love, philosophy, the nature of existence, and the quest for meaning, much like Khayyam's own poetry, particularly his famous "Rubaiyat.
"Samarkand" is a historical novel written by Turkish author Amin Maalouf, first published in French in 1988. The novel is a fictionalized account of the life of the Persian poet Omar Khayyam and is set against the backdrop of the Persian Empire during the 11th century.
A time trial is a racing event in which competitors race against the clock to achieve the best time over a specific distance or course. Unlike traditional races where competitors start together and compete in a pack, a time trial typically features individual riders or teams starting at intervals, allowing each participant to focus on their own performance without direct competition from others during the race.
A "sol" is the term used to describe a single day on Mars. It is equivalent to approximately 24 hours and 39 minutes, making it slightly longer than an Earth day. The term is often used in the context of Mars missions, particularly by NASA and other space agencies, to specify the duration of activities and experiments conducted on the Martian surface.
Probabilistic Latent Semantic Analysis (PLSA) is a statistical technique used in natural language processing and information retrieval for analyzing large collections of textual data. It is an extension of traditional Latent Semantic Analysis (LSA) that incorporates probabilistic modeling. ### Key Concepts: 1. **Latent Semantic Analysis (LSA)**: LSA is a method that reduces the dimensionality of large text corpora through singular value decomposition (SVD).
Statistical parsing is a method in natural language processing (NLP) that uses statistical models to analyze and understand the syntactic structure of sentences. The objective is to determine the grammatical structure of a sentence, often by identifying the roles of each part of the sentence and how they relate to each other. ### Key Concepts of Statistical Parsing: 1. **Parsing**: This refers to the process of analyzing a sentence according to the rules of grammar.
Synchronous context-free grammar (SCFG) is a formal grammar used primarily in computational linguistics and bioinformatics, which allows for the simultaneous generation of two or more sequences (for instance, strings or strings representing biological sequences) while maintaining a direct correspondence between their structures. This feature makes SCFG particularly useful for tasks like machine translation in natural language processing and the alignment of RNA secondary structures in computational biology.
A bushel is a unit of measurement used to quantify volume, typically for dry agricultural commodities such as grains, fruits, and vegetables. In the United States, one bushel is equivalent to 35.24 liters or approximately 1.25 cubic feet. The exact amount that constitutes a bushel can vary based on the specific commodity being measured, as different items have different standard bushel weights. For instance, a bushel of wheat differs in weight from a bushel of apples.
Joseph Farcot was a French mathematician and engineer known for his work in the 19th century. He made contributions primarily in the fields of applied mathematics and engineering, particularly in the areas of mechanics and hydrostatics. One of his notable achievements was his development of the "Farcot's Theorem" related to the equilibrium of elastic beams. However, details about his contributions might not be widely recognized compared to other mathematicians of his time.
The concept of a functional derivative is a generalization of the ordinary derivative to functionals, which are mappings from a space of functions to the real numbers (or complex numbers). In essence, while a regular derivative gives the rate of change of a function with respect to its variables, a functional derivative captures the rate of change of a functional with respect to changes in the function it depends on.
Multiplier uncertainty refers to the variability and uncertainty associated with the economic multiplier effect, which is the idea that an initial change in spending (such as government investment or consumer spending) will lead to a larger overall impact on the economy. The multiplier effect can amplify the effects of fiscal policy, investment, or other economic activities; for example, government spending can lead to increased income for businesses and households, which in turn can foster further spending, creating a chain reaction of economic activity.
SimRank is a similarity measurement framework used primarily for comparing the similarity between objects in a graph or network structure. Introduced by Jeh and Widom in 2002, SimRank defines the similarity between two objects based on the idea that "two objects are similar if they are related to similar objects." It is particularly useful in recommendation systems, social network analysis, and various applications involving relational data.
A kilobit (kb) is a unit of digital information or computer storage that is equal to 1,000 bits. It is commonly used to measure data transfer rates, such as internet speed, as well as the size of data files. In some contexts, especially in computer science, the term kilobit can also refer to 1,024 bits, which is based on the binary system (2^10).
Barbara McClintock (1902–1992) was an American scientist and geneticist who is best known for her groundbreaking work in the field of genetics, particularly in maize (corn). She was awarded the Nobel Prize in Physiology or Medicine in 1983 for her discovery of "jumping genes," or transposable elements. McClintock's research demonstrated that genes could change positions on chromosomes and that this could affect the expression of traits in organisms.
Heiko Enderling is a prominent figure in the field of mathematical biology, particularly known for his work on evolutionary dynamics, cancer modeling, and mathematical modeling in biology. He is affiliated with institutions that focus on research and education in these areas, contributing to our understanding of complex biological systems through mathematical frameworks.
The Drift-barrier hypothesis is a concept in evolutionary biology that seeks to explain the maintenance of genetic diversity within populations. Proposed by Theodosius Dobzhansky and others, it suggests that genetic drift can play a significant role in shaping the genetic structure of populations, particularly in small, fragmented populations.

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