NGC 1491 is a reflection nebula located in the constellation Perseus. It is cataloged in the New General Catalog (NGC) and is often noted for its association with a young open cluster of stars known as Haffner 18. The nebula is illuminated by the light from these young stars, which contributes to its visibility.
NGC 595 is a bright nebula located in the Large Magellanic Cloud, which is a dwarf galaxy that is a satellite of the Milky Way. Specifically, NGC 595 is part of a larger region known as the 30 Doradus complex, which is one of the most active star-forming regions in the Local Group of galaxies.
Pismis 20 is an open cluster of stars located in the constellation of Cassiopeia. It is notable for being one of the most massive open clusters known, containing a significant number of stars, including a large population of massive, hot, and bright stars. The cluster is thought to be relatively young in astronomical terms, with an age of around a few million years.
RCW 88 refers to a specific chapter in the Revised Code of Washington (RCW), which is the compilation of all the permanent laws of the state of Washington. Chapter 88 specifically deals with “Navigable Waters” and covers regulations related to the use, management, and conservation of Washington's navigable waters and waterways, including licensing and operations related to vessels.
SDC 335.579-0.292 is a specific classification number within the Dewey Decimal Classification (DDC) system, which is used to categorize library materials. In this system: - The first part, 335, refers to the class for "Economic Theory, Demography." - The second part, .579, specifies a subcategory within that class. This typically relates to a specific topic or aspect within economic theory. - The final part, -0.
Sh2-155, also known as LBN 764 or the Drunken Dragon Nebula, is an HII region located in the constellation Cassiopeia. It is named after the catalog it appears in, the Sharpless catalog, which is a catalog of hydrogen-alpha emission nebulae. Sh2-155 is notable for its distinctive shape that resembles a dragon or serpent, which has made it a popular target for astrophotographers and amateur astronomers.
Vulpecula OB1 is a stellar association located in the constellation Vulpecula. It consists of a group of young, hot, and massive stars, which are typically early-type stars that are often grouped together due to their similar ages, origins, and proximity. Stellar associations like Vulpecula OB1 are important for studying the formation and evolution of stars, as they provide insights into how stars interact with each other and with their surrounding interstellar medium.
Westerlund 2 is an open star cluster located in the constellation Carina. It is situated about 20,000 light-years away from Earth and is believed to be relatively young, with an estimated age of around 2 to 4 million years. The cluster is named after the Swedish astronomer Bo Westerlund, who studied it in the 1960s.
Helmert-Wolf blocking is a method used in survey geodesy and geospatial analysis for processing and adjusting measurements made on a network of points. It is named after the geodesists Friedrich Helmert and Paul Wolf, who contributed to the development of techniques for adjusting geodetic networks. In essence, Helmert-Wolf blocking is a strategy for dividing a large network of observations into smaller, more manageable segments or blocks.
Iterative Proportional Fitting (IPF), also known as Iterative Proportional Scaling (IPS) or the RAS algorithm, is a statistical method used to adjust the values in a multi-dimensional contingency table so that they meet specified marginal totals. This technique is particularly useful in fields like economics, demography, and social sciences, where researchers often work with incomplete data or need to align observed data with known populations.
Kernel-independent component analysis (KICA) is an extension of independent component analysis (ICA) that utilizes kernel methods to allow for the separation of non-linear components from data. While standard ICA is designed to separate independent sources in a linear fashion, KICA broadens this capability by applying kernel techniques, which can handle more complex relationships within the data.
Additive disequilibrium and the Z statistic are concepts used in population genetics and evolutionary biology, particularly in the study of genetic variation and allele frequency distributions. ### Additive Disequilibrium: Additive disequilibrium refers to the deviation from expected allele frequencies in a population, often observed when there are non-random associations between alleles at different genetic loci. This can be a result of various evolutionary forces such as natural selection, genetic drift, migration, or non-random mating.
Falconer's formula, often referred to in the context of geometric measure theory and fractal geometry, pertains to the dimension of the projections of sets in Euclidean spaces. The formula is primarily associated with the study of the Hausdorff dimension of a set and how this dimension can change under projections.
Critical phenomena refer to the behaviors and characteristics of systems undergoing a phase transition, particularly as they approach the critical point where the transition occurs. These phenomena are commonly observed in various fields such as physics, chemistry, and materials science, and they are most notably associated with transitions like liquid-gas, ferromagnetic transitions, and others.
The substitution model is a theoretical framework used in various fields, including economics, linguistics, and biology, to analyze how one entity can replace another. Here are three common applications of the substitution model: 1. **Economics**: In economics, the substitution model often refers to consumer behavior regarding the substitution of one good for another. For instance, if the price of coffee increases, consumers might substitute it with tea.
Statistical forecasting is a method that uses historical data and statistical theories to predict future values or trends. It employs various statistical techniques and models to analyze past data patterns, relationships, and trends to make informed predictions. The core idea is to identify and quantify the relationships between different variables, typically focusing on time series data, which involves observations collected at regular intervals over time.
Statistical mechanics is a branch of physics that connects the microscopic properties of individual particles to the macroscopic behavior of systems in thermodynamic equilibrium. It provides a framework for understanding how macroscopic phenomena (like temperature, pressure, and volume) arise from the collective behavior of a large number of particles.
Fiducial inference is a statistical framework developed by the mathematician Ronald A. Fisher in the early 20th century. It is intended for making inferences about parameters of a statistical model based on observed data without relying on the subjective probabilities associated with prior distributions, which are common in Bayesian statistics.
Statistical ensembles are a fundamental concept in statistical mechanics, a branch of physics that studies large systems consisting of many particles. An ensemble is a collection of a large number of microscopically identical systems, each of which can be in a different microstate, but shares the same macroscopic properties defined by certain parameters (like temperature, pressure, and volume).
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





