Tamara G. Kolda is a prominent researcher known for her work in the fields of applied mathematics, computer science, and specifically in tensor analysis and multi-linear algebra. She has made significant contributions to data analysis, machine learning, and scientific computing, particularly in the context of large-scale data sets and high-dimensional data modeling. Kolda has authored numerous research papers and has been involved in various projects that utilize tensor decompositions and related techniques to analyze complex data structures.
The Broer-Kaup equations are a system of partial differential equations that describe long wave interactions in shallow water waves, particularly focusing on the evolution of small amplitude waves in a two-dimensional medium. These equations arise in the context of studying wave phenomena in various physical systems, including fluid dynamics and nonlinear wave interactions. The Broer-Kaup system can be derived from the incompressible Euler equations under certain approximations and is characterized by its ability to model the evolution of wave packets and their interactions over time.
Control, in the context of optimal control theory, refers to the process of determining the control inputs for a dynamic system to achieve a desired performance. Optimal control theory seeks to find the control strategies that minimize (or maximize) a certain objective, often described by a cost or utility function, over a given time horizon. Key elements of optimal control theory include: 1. **Dynamic System**: A model that describes how the state of a system evolves over time, usually defined by differential or difference equations.
Homogeneity blockmodeling is a technique used in network analysis and social network analysis to identify and categorize groups (or blocks) of nodes (individuals, organizations, etc.) that exhibit similar characteristics or patterns in their relationships. The fundamental idea is to simplify the complex structure of a network by grouping nodes into blocks that provide a clearer understanding of the overall relationships within the network.
A "Dutch book" refers to a scenario in probability theory and financial mathematics that illustrates the concept of coherence in belief systems, particularly in relation to bets and odds. The term is often associated with the work on betting systems and rational decision-making. In essence, a Dutch book is a situation where a person's set of odds or beliefs about outcomes is inconsistent, allowing another party to make a series of bets that guarantees them a profit regardless of the outcome.
Kazuoki Azuma is not a widely recognized figure in public domains such as entertainment, politics, or science as of my last knowledge update in October 2023. It is possible that Kazuoki Azuma could be a person related to a niche field, a private individual, or someone who has gained prominence after that time.
"Computing for All" refers to initiatives and movements aimed at making computer science education and digital skills accessible to a broader audience, regardless of age, background, or socioeconomic status. The objective is to bridge the gap in technology literacy and ensure that everyone, including underrepresented groups, has the opportunity to learn computing skills.
R. Ranga Rao (Raghava Rao Ranganathan) is an Indian mathematician known for his contributions to various fields in mathematics, particularly in the areas of number theory and finite fields. His work has had significance in combinatorial design theory and coding theory. Ranga Rao has contributed to mathematical research through publications and has been involved in academic activities, mentoring students, and promoting mathematical education. His research interests have also extended into applications of mathematics in computer science and engineering.
U. Narayan Bhat is a notable figure in the field of mathematics, particularly known for his contributions to probability and statistics. He has authored several research papers and books that address various topics within these disciplines. If you are referring to a specific context or aspect of U.
Astronomers can specialize in various fields of research, each focusing on different aspects of the universe and its phenomena. Here are some common fields of research within astronomy: 1. **Observational Astronomy**: This involves collecting and analyzing data from telescopes and other instruments to study celestial objects and events. Subfields may include radio, optical, and infrared astronomy. 2. **Theoretical Astronomy**: Theoretical astronomers use mathematical models and simulations to explain astronomical phenomena and to make predictions.
Planetary systems are groups of celestial bodies that orbit a star, with planets being the most prominent members of the system. A planetary system typically includes: 1. **Stars**: The central body is usually a star (or stars, in the case of binary or multiple star systems) around which the rest of the system orbits. 2. **Planets**: These are large celestial bodies that orbit the star.
David Sobral is a prominent astronomer known for his work in the field of astrophysics, particularly in the study of galaxy formation and evolution, cosmic reionization, and the early universe. His research often involves analyzing distant galaxies and understanding their properties, as well as the environmental factors that influence their development. As an active researcher, he may have contributed to various scientific publications and projects.
Jenga is a popular tabletop game that involves stacking wooden blocks to build a tower. The game consists of 54 rectangular wooden blocks, each measuring 1.5 inches wide, 0.75 inches high, and 3 inches long. Players take turns removing a block from the tower and placing it on top, trying to do so without causing the tower to collapse.
The Astrophysical Journal is a peer-reviewed scientific journal that focuses on astronomy and astrophysics. Established in 1895, it is one of the leading journals in the field and is published by the American Astronomical Society (AAS). The journal publishes original research articles, reviews, and significant findings covering a wide range of topics related to the universe, including stellar and planetary formation, cosmic phenomena, cosmology, and the behavior of celestial objects.
"Organum Mathematicum" is a foundational work in the field of mathematics, specifically associated with the 17th-century mathematician and philosopher Gottfried Wilhelm Leibniz. The title translates to "Mathematical Organ" and reflects Leibniz's efforts to establish a systematic framework for mathematical reasoning and logic that could be employed to derive truths in mathematics and other disciplines.

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