Parametric statistics refers to a category of statistical techniques that make specific assumptions about the parameters of the population distribution from which samples are drawn. These techniques typically assume that the data follows a certain distribution, most commonly the normal distribution. Key features of parametric statistics include: 1. **Assumptions**: Parametric tests often assume that the data is normally distributed, that variances are equal across groups (homogeneity of variance), and that the observations are independent.
The Transferable Belief Model (TBM) is a theory in the field of evidence theory, particularly dealing with the representation and management of uncertain information. It was introduced by Philippe Smets in the context of artificial intelligence and decision-making. ### Overview of the Transferable Belief Model: 1. **Foundation on Belief Functions**: The TBM is based on belief functions, which provide a framework for managing uncertainty.
Auxesis is a figure of speech that involves the amplification of a concept or idea, often by escalating the importance or intensity of a description. It can take the form of exaggerating someone's qualities, actions, or statuses to highlight their significance or to evoke a strong emotional response from the audience. For example, calling someone a "hero" for a small act of kindness or referring to a modest success as a "landmark achievement" are instances of auxesis.
A philosophical razor is a principle or heuristic used to cut away unnecessary assumptions or hypotheses in order to arrive at simpler explanations or understandings of a phenomenon. These razors are employed to guide reasoning and decision-making, often by favoring simplicity, clarity, or a lack of unnecessary complexity. One of the most famous examples of a philosophical razor is **Occam's Razor**, which states that among competing hypotheses, the one with the fewest assumptions should be selected.
Sidetone is an audio effect commonly used in telecommunications and audio processing. It refers to the sound of a person's own voice that they can hear while they are speaking on a phone or through a microphone. This feedback helps individuals monitor their speech and maintain a natural speaking volume, as it allows them to hear how they sound in real time.
The Hutter Prize is a monetary award established to encourage advancements in the field of lossless data compression. It is named after Marcus Hutter, an influential researcher in artificial intelligence and algorithms. The prize specifically targets algorithms that can compress a large text file, known as the "The Hutter Prize Corpus," which is based on a large English text. The main goal of the prize is to incentivize research into compression algorithms that can demonstrate significant improvements over current methods.
Even–Rodeh coding is a type of error-correcting code that is used in the realm of digital communication and data storage. It is named after its inventors, Israeli mathematicians Shimon Even and David Rodeh. The primary purpose of this coding scheme is to detect and correct errors that may occur during the transmission or storage of data. The Even–Rodeh code is structured in a way that it can efficiently correct multiple bit errors in a codeword.
Vladimir Levenshtein is a prominent Russian mathematician and computer scientist best known for his work in the field of information theory and computer science. He is particularly famous for the invention of the Levenshtein distance, which is a metric for measuring the difference between two strings. The Levenshtein distance is defined as the minimum number of single-character edits (insertions, deletions, or substitutions) required to change one string into the other.
A **switching loop**, also known as a bridging loop or network loop, occurs in a computer network when two or more network switches are improperly connected, creating a circular path for data packets. This condition can cause significant issues, including broadcast storms, multiple frame transmissions, and excessive network congestion, as the same data packets circulate endlessly through the loop.
Theoretical Biology Forum is a platform for researchers and scholars to discuss and share ideas related to theoretical biology. It typically focuses on the mathematical, computational, and conceptual aspects of biological systems, exploring how these disciplines can contribute to the understanding of biological phenomena. The forum may serve as a venue for publishing research papers, discussing new theories, and fostering collaboration among scientists. It often includes discussions on topics such as evolutionary biology, ecology, genetics, biophysics, and complex systems.
Monte Carlo methods for option pricing are a set of computational algorithms that use random sampling to estimate the value of financial derivatives, particularly options. These methods are particularly useful for pricing complex derivatives that may not be easily solvable using traditional analytical methods. The Monte Carlo approach relies on the law of large numbers, which allows for convergence to the expected value through repeated sampling.
A double dactyl is a specific form of poetry that consists of two stanzas, each with four lines. The first two lines of each stanza are usually made up of two dactylic feet (a dactyl being a metrical foot consisting of one stressed syllable followed by two unstressed syllables). The third and fourth lines typically contain a single long syllable followed by a short one, often culminating in a playful or humorous punchline.
Maria Korovina is not a widely recognized figure, concept, or term as of my last knowledge update in October 2023. It’s possible that it refers to a person, place, or organization that is less known, or it could be a name that has come to prominence after my last update.
As of my last knowledge update in October 2021, Anuar Dyusembaev does not appear to be a widely recognized public figure, event, or term. It's possible that he could be a private individual, a name that has gained prominence after that date, or it could refer to someone in a more localized or specific context.
Igor Dmitrievich Ado is a prominent Russian mathematician known for his significant contributions to the field of functional analysis and topology. He is particularly recognized for his work on the theory of linear operators and the study of infinite-dimensional spaces. Ado is also noteworthy for his involvement in the development of mathematical education and research in Russia.
Fisher's principle, proposed by the evolutionary biologist Ronald A. Fisher in 1930, is a concept in evolutionary theory that explains the sex ratio in sexually reproducing populations. According to Fisher's principle, under stable conditions, the sex ratio of males to females in a population will tend to stabilize at approximately 1:1 (50% males and 50% females). The rationale behind this principle is based on the idea of evolutionary stability.
William Wallace was a Scottish mathematician and philosopher best known for his work in mathematics and his contributions to the early development of calculus and logic in the late 17th century. He was born in 1663 and died in 1724. Wallace's significant contributions include his work on the calculus of infinitesimals and the development of early mathematical notation.
Bruce Kleiner is a mathematician known for his work in the field of functional analysis, particularly in relation to operator algebras and noncommutative geometry. He is also recognized for contributions to the study of the properties of various mathematical structures.
A truncated dodecahedral prism is a type of geometric solid that is a combination of two distinct shapes: a truncated dodecahedron and a prism. To break it down: 1. **Truncated Dodecahedron**: This is a convex polyhedron with 12 regular pentagonal faces, where each vertex of the original dodecahedron has been truncated (flattened) to create additional faces.
A truncated tetrahedral prism is a three-dimensional geometric shape that is formed by extending a truncated tetrahedron along a perpendicular axis to create a prism. To clarify each component: 1. **Truncated Tetrahedron**: This is a type of polyhedron that results from truncating (or cutting off) the corners (vertices) of a regular tetrahedron.

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 5. . 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.
  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