Chaotic maps are mathematical functions or systems that exhibit chaos, which is a complex and unpredictable behavior that arises in certain dynamical systems. These maps are often studied in the context of chaos theory, where small changes in initial conditions can lead to significantly different outcomes, a phenomenon popularly known as the "butterfly effect." Key characteristics of chaotic maps include: 1. **Nonlinearity**: Most chaotic systems are nonlinear, meaning that their relationships cannot be described with simple linear equations.
Berkeley 87, also known as B87 or Berkeley 87, refers to a version of the Berkeley Software Distribution (BSD) Unix operating system. Specifically, it denotes the version released in 1987, which was the first to incorporate significant changes and enhancements over previous releases, especially regarding networking capabilities, file system improvements, and new utilities.
NGC 2359 is a notable astronomical object located in the constellation Canis Major. It is often referred to as the "Duck Nebula" due to its resemblance to a duck's head and bill when viewed in images. NGC 2359 is a bright planetary nebula, which is a type of emission nebula formed by the ejection of material from a dying star.
NGC 3576 is a bright nebula, often referred to as the "Cat's Paw Nebula" or "RCW 57," located in the constellation Centaurus. It is part of a region of active star formation and is situated approximately 9,000 light-years away from Earth.
Randomized algorithms are algorithms that make random choices in their logic or execution to solve problems. These algorithms leverage randomness to achieve better performance in terms of time complexity, ease of implementation, or simpler design compared to their deterministic counterparts. Here are some key characteristics and types of randomized algorithms: ### Characteristics: 1. **Randomness**: They involve random numbers or random bits during execution. The algorithm’s behavior can differ on different runs even with the same input.
RCW 49 refers to the Revised Code of Washington, specifically Title 49, which deals with labor regulations and employment practices in the state of Washington. This title covers various aspects of labor laws, including issues related to wage and hour laws, employment standards, worker rights, and protections against discrimination in the workplace.
The Lander–Green algorithm is a method used for generating random samples from the uniform distribution over specific combinatorial objects such as integer partitions or certain types of labeled structures. It is particularly well-known for its application in generating random integer partitions efficiently. The algorithm operates by combining techniques from combinatorial enumeration and probabilistic sampling. It ensures that each possible configuration has an equal chance of being selected, which is crucial for applications in statistical analysis, simulations, and other computational problems.
The Metropolis–Hastings algorithm is a Markov Chain Monte Carlo (MCMC) method used for sampling from probability distributions that are difficult to sample from directly. It is particularly useful in situations where the distribution is defined up to a normalization constant, making it challenging to derive samples analytically.
The Vela Molecular Ridge is a prominent molecular cloud complex located in the southern hemisphere of the Milky Way galaxy, specifically in the constellation Vela. It is part of a larger region known for its dense concentrations of interstellar gas and dust, where star formation occurs. This area is characterized by its intricate structure, which includes dark filaments and regions of active star formation. The Vela Molecular Ridge is home to various interesting astronomical phenomena, including young star clusters and protostars.
Westerhout 31, also known as W 31, is a young massive star cluster located in the Orion constellation. It is notable for being one of the nearest clusters to Earth, approximately 3,500 light-years away. This star cluster is of particular interest to astronomers because it provides insights into the processes of star formation and the evolution of massive stars.
The False Nearest Neighbor (FNN) algorithm is a technique used primarily in the context of time series analysis and nonlinear dynamics to determine the appropriate number of embedding dimensions required for reconstructing the state space of a dynamical system. It is particularly useful in the study of chaotic systems. ### Key Concepts of the FNN Algorithm: 1. **State Space Reconstruction**: In dynamical systems, especially chaotic ones, it is often necessary to reconstruct the state space from a single-time series measurement.
Farr's laws refer to principles in epidemiology related to the relationship between health outcomes, particularly mortality rates, and the characteristics of the population being studied. Specifically, they are associated with the work of Sir Edwin Chadwick and William Farr in the 19th century, who contributed significantly to the field of public health and statistics. Farr's laws focus on the idea that the mortality rates of specific diseases can be predicted based on the age structure of a population and the spatial distribution of that population.
Here is a list of notable star systems located between 35 and 40 light-years from Earth: 1. **Zeta Reticuli** - A binary star system consisting of two Sun-like stars, Zeta Reticuli 1 and Zeta Reticuli 2, located about 39 light-years away.
Here is a list of notable star systems located within the distance range of 40 to 45 light-years from Earth: 1. **Gliese 1** - A binary star system that includes Gliese 1 A and Gliese 1 B. 2. **Gliese 65** - Also known as HD 154857, is a binary star system.
Genomic control, often referred to as genomic selection or genomic prediction, is a method used in genetics and genomics to improve the accuracy of breeding programs. It is primarily applied in agriculture, animal breeding, and plant breeding to enhance desired traits in organisms, such as yield, disease resistance, or environmental adaptability. The concept involves using genome-wide information, typically derived from high-throughput genotyping technologies, to identify genetic markers associated with specific traits.
The Balding–Nichols model is a statistical model used in the field of population genetics to describe the distribution of allele frequencies in a population. Specifically, it focuses on the genetic variation that arises from a combination of mutation, selection, and genetic drift over time, particularly in the context of a neutral model where selection is not acting on the alleles. The model is often used to understand the genetic structure of populations and how genetic diversity can be maintained or lost due to various evolutionary processes.
Coalescent theory is a model in population genetics that describes the genetic ancestry of alleles in a population over time. It provides a framework for understanding the genealogical relationships between individuals based on their genetic material and how these relationships have evolved in response to population processes such as reproduction, selection, mutation, migration, and genetic drift.
The "common disease-common variant" (CDCV) hypothesis is a genetic concept that suggests that common diseases, such as diabetes, heart disease, and certain psychiatric disorders, are predominantly caused by common genetic variants in the population. According to this hypothesis, these diseases arise from the cumulative effects of many variants that are relatively frequent in the population, rather than from rare mutations or variants.
Gases are one of the fundamental states of matter, along with solids and liquids. They are characterized by their ability to expand to fill the shape and volume of their container. Unlike solids and liquids, the molecules in a gas are much farther apart and move freely. Here are some key properties and characteristics of gases: 1. **Low Density**: Gases have much lower densities compared to solids and liquids because the molecules are widely spaced.
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





