Queueing theorists are researchers and practitioners who study queueing theory, which is a mathematical discipline that deals with the analysis of queues (i.e., waiting lines). This field is essential in various domains, especially in operations research, telecommunications, traffic engineering, and service systems. Queueing theory involves the study of several key components: 1. **Arrival Process**: How entities (customers, data packets, etc.) arrive at the service facility. This can be modeled using probability distributions (e.
The Monte Carlo method is a statistical technique that utilizes random sampling and statistical modeling to estimate mathematical functions and simulate the behavior of complex systems. It is widely used in various fields such as finance, engineering, physics, and project management to solve problems that may be deterministic in nature but involve significant uncertainty and variability.
Mathematical statisticians are professionals who specialize in the field of statistics and are primarily focused on the mathematical theories and methodologies behind statistical analysis. Their work often involves developing new statistical methods, designing experiments, and analyzing data using mathematical frameworks. Key responsibilities and areas of focus for mathematical statisticians include: 1. **Theory Development**: They create new statistical theories and models to improve existing methodologies. This includes work on probability distributions, hypothesis testing, estimation techniques, and more.
Mathematical ecologists are researchers who apply mathematical models and techniques to understand ecological systems and phenomena. They work at the intersection of ecology, mathematics, and often computer science, using quantitative methods to analyze and predict the interactions between organisms and their environments. Here are some key aspects of what mathematical ecologists do: 1. **Modeling Populations**: They develop mathematical models to describe the dynamics of populations—how population sizes change over time due to births, deaths, immigration, and emigration.
Ethnomathematics is a field of study that examines the relationship between mathematics and culture. It explores how different cultural groups develop, understand, and utilize mathematical concepts and practices. Ethnomathematicians focus on the mathematical knowledge and strategies that arise in specific cultural contexts, emphasizing the diversity of mathematical thought and practices around the world.
Cyberneticists are individuals who study or work within the field of cybernetics, which is an interdisciplinary area that focuses on the study of systems, control, and communication in animals, machines, and living organisms. Cybernetics explores how systems communicate and operate, including the feedback loops that enable self-regulation and adaptation.
Computer scientists are professionals who study, design, develop, and apply computational systems and methodologies to solve complex problems. They work in various areas, including algorithms, programming languages, software engineering, artificial intelligence, data structures, computer networks, cybersecurity, and more. Computer scientists typically engage in the following activities: 1. **Research**: Conducting theoretical and applied research to advance the field of computer science and develop new technologies.
Coding theory is an area of study in computer science and mathematics that focuses on the design and analysis of error-correcting codes and the representation of data. Coding theorists are researchers or practitioners who work in this field, exploring various aspects of coding, including: 1. **Error Detection and Correction**: Developing codes that allow for the detection and correction of errors in data transmission or storage. This is essential for reliable communication systems, such as those used in telecommunications, data storage, and computer networks.
Ballistics experts are forensic professionals who specialize in the study of the mechanics of projectiles and firearms. Their work involves analyzing the behavior of bullets, firearms, and related evidence to help understand incidents involving shooting, such as homicides, suicides, or accidental discharges. Key functions of ballistics experts include: 1. **Firearm Identification**: Matching bullets and cartridge cases to specific firearms using unique markings left by the weapon during firing.
"Mathematicians from Philadelphia" typically refers to a notable group of mathematicians associated with the Philadelphia area, particularly those who have made significant contributions to various fields of mathematics. Some prominent mathematicians who are known to have worked in Philadelphia or have ties to institutions there include: 1. **John von Neumann** - Although primarily associated with several other cities, his involvement in the early days of computer science and game theory has connections to Philadelphia through his work with the Institute for Advanced Study.
"Mathematicians from London" could refer to notable mathematicians who were either born in, worked in, or were otherwise significantly associated with London. Some prominent mathematicians with connections to London include: 1. **G.H. Hardy** - Known for his work in number theory and mathematical analysis, Hardy was associated with the University of Oxford and is famous for the Hardy-Weinberg principle in genetics.
Kingston upon Hull, a city in East Yorkshire, England, has been home to various notable mathematicians and scholars throughout its history. Some key figures related to mathematics or related fields from Hull include: 1. **William B. B. Ewing (1882–1964)** - A mathematician known for contributions in the field of topology. 2. **David R. Wilkins** - An academic known for work in the field of mathematical education.
The Wolf Prize in Mathematics is an international award presented annually by the Wolf Foundation in Israel. It was established in 1978 and is one of the most prestigious awards in the field of mathematics, alongside the Fields Medal and the Clay Millennium Prizes. The prize recognizes outstanding achievements in mathematics and is awarded to individuals who have made significant contributions to the field.
The Whitehead Prize is awarded by the London Mathematical Society (LMS) in the United Kingdom. It is named after the British mathematician J. N. (John North) Whitehead and is given to recognize outstanding achievements in mathematics by early-career researchers. The prize typically honors individuals who have made significant contributions to the field within a certain number of years after completing their PhD. The award aims to promote and support the careers of promising mathematicians in their formative years.
The Rolf Schock Prizes are a series of international awards established in 1993 by the Rolf Schock Foundation in Sweden. They are named after the Swedish artist and philosopher Rolf Schock and aim to recognize outstanding achievements in various fields. The prizes are awarded in several categories, including: 1. **Mathematics**: Recognizing significant contributions to the field of mathematics.
The SASTRA Ramanujan Prize is awarded annually to a young mathematician in recognition of their outstanding contributions to mathematical research, particularly in areas that were influenced by the work of the Indian mathematician Srinivasa Ramanujan. The prize was established in 2005 by SASTRA University in India, and it aims to honor Ramanujan's legacy by encouraging young mathematicians.
The Hausdorff Medal is a prestigious award given by the Hausdorff Center for Mathematics at the University of Bonn, Germany. It is named in honor of the mathematician Felix Hausdorff, who made significant contributions to various areas of mathematics, particularly in topology and set theory. The award is typically given to outstanding mathematicians for their exceptional contributions to the field.
The Fields Medal is one of the most prestigious awards in mathematics, often regarded as the equivalent of a Nobel Prize for mathematicians. It was established in 1936 and is awarded every four years to mathematicians under the age of 40 in recognition of outstanding achievements in the field. The award was named after Canadian mathematician John Charles Fields, who was instrumental in establishing the medal and the associated prize.
The De Morgan Medals are prestigious awards given by the London Mathematical Society (LMS) in recognition of outstanding contributions to mathematics. Named after the mathematician August De Morgan, the medals are awarded to individuals for their significant achievements in mathematical research. Since their introduction, these medals have celebrated mathematicians who have made lasting impacts in various areas of mathematics, including pure and applied mathematics.
The David Crighton Medal is an award given by the Institute of Mathematics and its Applications (IMA) in the UK to recognize outstanding contributions in the field of applied mathematics. It is named in honor of David Crighton, a prominent figure in applied mathematics and a former president of the IMA. The medal is awarded to individuals or groups whose work significantly impacts the application of mathematics in various fields.

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