Probability and Mathematical Statistics are two closely related fields within the broader discipline of mathematics that deal with the analysis, interpretation, and presentation of numerical data and uncertainty. ### Probability **Probability** is the mathematical study of random phenomena. It provides a framework for quantifying uncertainty and making predictions about the likelihood of various outcomes. Here are some key concepts: 1. **Random Experiment**: An operation or process that produces outcomes that cannot be predicted with certainty.
The Michigan Mathematical Journal is a peer-reviewed academic journal that focuses on publishing research in the field of mathematics. Established in 1952, it has provided a platform for researchers to disseminate their findings across a variety of mathematical disciplines, including pure mathematics, applied mathematics, and interdisciplinary studies. The journal is affiliated with the University of Michigan and is well-regarded within the mathematical community for its high-quality articles and rigorous peer-review process.
Notices of the American Mathematical Society (AMS) is a monthly publication issued by the American Mathematical Society. It serves several purposes within the mathematical community, including: 1. **Informing the Community**: The Notices provide updates and information about developments in mathematics, including announcements of meetings, conferences, and educational opportunities. 2. **Research and Articles**: It features articles on various mathematical topics that are accessible to a broad audience, including trends in research, historical perspectives, and profiles of mathematicians.
"Nouvelles Annales de Mathématiques" (often abbreviated as "N.A.M.") is a mathematical journal that was established in the 19th century. Specifically, it was founded in 1860 and has been a prominent publication for research in various fields of mathematics. The journal has contained significant articles, papers, and communications on topics ranging from pure mathematics to applied mathematics. The journal originally served as a continuation of earlier mathematical publications and aimed to disseminate important mathematical discoveries and theories.
As of my last knowledge update in October 2023, there is no widely recognized figure, concept, or event known as "George Burba." It's possible that this may be a reference to a private individual or a less well-known topic.
Publicationes Mathematicae Debrecen is a mathematical journal that publishes research articles in various areas of mathematics. It is associated with the University of Debrecen in Hungary. The journal aims to provide a platform for the dissemination of original research, including both theoretical and applied mathematics. The articles that appear in the journal are usually peer-reviewed to ensure quality and relevance in the field. This journal is one of many academic publications that contribute to the scholarly communication within the mathematical community.
"Russian Mathematical Surveys" is a mathematical journal that publishes survey articles and expository papers in various areas of mathematics. The journal is a translation of the Russian journal "Matematicheskie Obozreniya," which has been publishing since the early 20th century. It covers a wide range of topics in pure and applied mathematics, providing a platform for researchers to share comprehensive overviews of specific areas, discuss recent developments, and highlight significant results.
The SIAM Journal on Matrix Analysis and Applications (SIMA) is a scholarly journal published by the Society for Industrial and Applied Mathematics (SIAM). It focuses on research related to matrix theory and its applications in various fields, including numerical analysis, optimization, statistics, and engineering. The journal publishes original research articles that cover a wide range of topics related to matrices, including but not limited to matrix computations, matrix algorithms, and theoretical advancements.
Skewness is a statistical measure that describes the asymmetry of a distribution. It indicates the direction and degree of distortion from the symmetrical bell curve of a normal distribution. In essence, skewness quantifies how much the distribution leans to one side compared to the other. There are three types of skewness: 1. **Positive Skewness (Right Skewness)**: In this case, the tail on the right side of the distribution is longer or fatter than the left side.
As of my last knowledge update in October 2021, there isn't specific information readily available about a person named Sarah Cousineau. It’s possible she may not be a widely recognized public figure or her significance may have emerged after my last update.
Aleksandra Slavković is a prominent statistician known for her work in the field of statistical science, particularly relating to statistical methods, statistical learning, and data analysis. She is a faculty member, and her research often intersects with applications in various fields such as social sciences, environmental science, and health metrics. Slavković has contributed to both academic literature and the development of statistical methodologies.
"The Analyst, or Mathematical Museum" is a work by the English mathematician and philosopher George Berkeley, published in 1734. In this text, Berkeley critiques the foundational concepts of calculus as developed by his contemporaries, particularly focusing on the notions of infinitesimals and limits. The work is structured in the form of an imaginary museum where mathematical ideas are on display. Berkeley's primary argument is that many of the mathematical practices, particularly those involving infinitesimal quantities, lacked rigor and clarity.
Gonit Sora is an educational initiative based in India that focuses on promoting mathematical literacy among school children. It aims to make learning mathematics engaging and accessible, often through innovative teaching methods and resources. The initiative may include activities such as workshops, competitions, and various educational materials designed to stimulate interest in mathematics. The name "Gonit Sora" directly translates to "the sound of mathematics" in the Assamese language, reflecting its focus on mathematics education, particularly in the northeastern region of India.
Mathematics popularizers are individuals, authors, educators, or communicators who specialize in making mathematical concepts, theories, and ideas accessible and engaging to a general audience, often through writing, speaking, or multimedia presentations. Their goal is to demystify mathematics, highlight its relevance, and spark interest in the subject among people who may not have a formal background in it.
"Institutions calculi differentialis," often referred to as "Institutions of differential calculus," is a foundational work in the field of calculus, primarily associated with the mathematician and philosopher Gottfried Wilhelm Leibniz. This work outlines the principles and rules of differential calculus, which is a significant branch of mathematics focused on the study of rates of change and slopes of curves. Leibniz's contributions to calculus, including his notation for derivatives, have had a lasting impact on mathematics.
The Bakhshali Manuscript is an ancient mathematical text discovered in a village called Bakhshali in present-day Pakistan. It is considered one of the earliest known texts in the history of mathematics. The manuscript is believed to date back to between the 2nd and 4th centuries CE, although some studies have suggested it might be even older. The manuscript is written on birch bark and contains a collection of mathematical problems and solutions, primarily focused on arithmetic and algebra.
"Haidao Suanjing" (海岛算经), typically translated as "The Island Calculation Manual" or "Mathematical Treatise on Islands," is a historical Chinese mathematical text. It is attributed to the mathematician Liu Hui during the third century and is part of the broader tradition of ancient Chinese mathematics. The text primarily deals with problems in geometry and is known for its use of practical problems, particularly in relation to surveying and land measurement.
The "Mathematical Treatise in Nine Sections" (also known as the "Nine Sections Mathematics" or "Nine Chapters on the Mathematical Art") is an ancient Chinese mathematical text that dates back to around the 1st century CE. It is part of the broader body of Chinese mathematics and is considered one of the foundational texts in the history of mathematics in China.

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