Frequentist inference is a framework for statistical analysis that relies on the concept of long-run frequencies of events to draw conclusions about populations based on sample data. In this approach, probability is interpreted as the limit of the relative frequency of an event occurring in a large number of trials. Here are some key characteristics and concepts associated with frequentist inference: 1. **Parameter Estimation**: Frequentist methods often involve estimating parameters (such as means or proportions) of a population from sample data.
Phase transitions are changes in the state of matter of a substance that occur when certain physical conditions, such as temperature or pressure, reach critical values. During a phase transition, a substance changes from one phase (or state) to another, such as from solid to liquid, liquid to gas, or solid to gas, without a change in chemical composition.
The Gaussian free field (GFF) is a mathematical object commonly studied in the fields of probability theory, statistical mechanics, and quantum field theory. It serves as a foundational model for understanding various phenomena in physics and mathematics due to its intrinsic properties and connections to Gaussian processes.
Electronic entropy is a concept in condensed matter physics and materials science that relates to the distribution and arrangement of electronic states within a material. It can be understood in the context of thermodynamics and statistical mechanics, where entropy is a measure of disorder or the number of possible microstates that correspond to a given macrostate.
The Einstein relation, in the context of kinetic theory and statistical mechanics, relates the diffusion coefficient of particles to their mobility. It provides a connection between the transport properties of particles (like diffusion) and their response to external forces.
A two-dimensional liquid is a state of matter characterized by its two-dimensional nature, where the constituent particles (atoms, molecules, or other entities) are restricted to move in a plane rather than in three-dimensional space. This concept arises in various fields of physics and materials science, particularly in the study of systems such as monolayers of materials or certain types of colloids. The properties of two-dimensional liquids can differ significantly from those of their three-dimensional counterparts.
The ACE model typically refers to the "ACE" (Adverse Childhood Experiences) framework, which is used to understand the impact of childhood trauma on long-term health and well-being. This model emphasizes the correlation between adverse experiences in childhood—such as abuse, neglect, and household dysfunction—and various negative outcomes later in life, including physical and mental health problems. However, "ACE" can also refer to other contexts depending on the specific field.
The term "ultraviolet fixed point" often arises in the context of quantum field theory, statistical mechanics, and other areas of theoretical physics. In general, a **fixed point** refers to a set of parameters in a theory (such as coupling constants) for which the behavior of the system does not change under changes in the scale (i.e., under renormalization group transformations). The scale could be related to energy, temperature, or other physical dimensions.
"Impartial culture" is not a widely established term in academic or cultural studies, but it could refer to the idea of a culture that promotes impartiality, fairness, and neutrality, particularly in social, political, and interpersonal contexts. This concept might be applied to discussions around social justice, governance, conflict resolution, and educational practices that emphasize equality and fairness.
The University Statisticians of the Southern Experiment Stations (USSES) is an organization primarily focused on the statistical methodologies and applications relevant to agricultural research and experiment stations in the Southern United States. It typically includes statisticians and researchers from various universities and experiment stations who collaborate on statistical practices, share knowledge, and promote the application of statistical techniques in agricultural and environmental sciences.
"Super Crunchers" is a book written by Ian Ayres, published in 2007. The work explores the increasing role of data analysis and statistical methods in decision-making across various fields, including business, healthcare, sports, and social sciences. Ayres argues that the ability to analyze vast amounts of data—what he refers to as "super crunching"—can lead to better predictions and outcomes than traditional methods based on expert intuition or anecdotal evidence.
The International Journal of Forecasting is a peer-reviewed academic journal that focuses on the study and application of forecasting methods and techniques across various fields. It publishes original research articles, review papers, and discussions related to the development and use of forecasting models, methodologies, and applications. The journal covers a wide range of topics, including but not limited to time series analysis, econometrics, business forecasting, and predictive modeling.
Steganographia is the practice of concealing messages within other non-secret text or data to avoid detection. The term is often associated with the specific art and craft of hidden communications, where information is embedded in a way that makes it difficult for an observer to realize that a message is present. Historically, the term "Steganographia" was popularized by Johannes Trithemius, a 15th-century monk, who wrote a book of the same name.
The Steklov Institute of Mathematics, part of the Russian Academy of Sciences, consists of a diverse group of academic staff, including mathematicians and researchers specializing in various fields of mathematics. The institute is known for its contributions to pure and applied mathematics, and its faculty often includes leading experts in areas like algebra, topology, mathematical physics, and more.
Minoru 3D Webcam is a device designed for capturing video and images in 3D. It typically features dual lenses that allow it to simulate the human binocular vision, creating depth perception in the images or videos it records. This technology can be particularly useful for applications in gaming, video conferencing, or any other scenario where 3D visualization is beneficial. The Minoru 3D Webcam can be used with various software applications that support 3D video and can work with common operating systems.
Hexol is a brand name for a type of solvent that is primarily composed of a mixture of hydrocarbons. It is used in various industrial applications, including cleaning, degreasing, and as a paint thinner. Hexol is capable of dissolving greases, oils, and other substances, making it useful in maintenance and manufacturing processes. In particular, it may refer to specific formulations that are designed for particular uses, such as in automotive or industrial settings.
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.
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.
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.

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