Magnus Egerstedt is a professor known for his work in the field of electrical and computer engineering, particularly in robotics and control systems. He is associated with institutions such as Georgia Institute of Technology, where he has specialized in areas including multi-robot systems, networked control, and distributed systems. His research often focuses on how multiple robots can work together effectively and how to apply control theory to various robotic applications.
Peter Stoica is a prominent researcher in the field of signal processing and statistical analysis. He has contributed significantly to areas such as system identification, estimation theory, and time series analysis. His work often involves the application of mathematical techniques to address problems related to signals and data processing.
As of my last knowledge update in October 2021, there is no widely known information about a person named Sonja Glavaški. It is possible that she is a private individual or a professional in a specific field not covered in major public sources. If there have been developments or news related to this name after that date, I would not be aware of them.
William L. Brogan is a notable figure primarily recognized for his contributions to the field of control theory and its applications. He is particularly known for his work on linear and nonlinear control systems, as well as his publications that focus on these topics. One of his recognized works includes the book "Modern Control Theory," which has been influential in the study and application of control systems in engineering.
Cauchy's convergence test, also known as the Cauchy criterion for convergence, is a method used to determine whether a sequence of real or complex numbers converges. This criterion is particularly useful because it provides a way to check for convergence without requiring knowledge of the limit to which the sequence converges.
Dirichlet's test is a convergence test used primarily to determine the convergence of certain types of infinite series. It is particularly useful for series that may contain oscillatory components. The test is named after the German mathematician Johann Peter Gustav Lejeune Dirichlet.
Dimensional analysis is a mathematical technique used in physics and engineering to analyze the relationships between physical quantities by identifying their fundamental dimensions. It involves checking the consistency of equations and deriving relationships among variables based on their dimensions. The fundamental dimensions typically include: 1. **Length (L)** 2. **Mass (M)** 3. **Time (T)** 4. **Electric current (I)** 5. **Temperature (Θ)** 6.
Oriented matroids are a combinatorial structure that generalizes the concept of linear independence in vector spaces to a broader context. They arise in the study of combinatorial geometry and optimization and have applications in various fields such as discrete geometry, algebraic geometry, and matroid theory. ### Definition: An oriented matroid can be thought of as a matroid (a structure that generalizes the notion of linear independence) equipped with an additional orientation that indicates the “direction” of independence among its elements.
Mixed volume is a concept in the field of algebraic geometry and convex geometry, specifically in the study of polytopes and their measures. It generalizes the notion of volume to sets that may not be convex and provides a way to measure the "size" of a collection of convex bodies in a vector space.
A convex body is a specific type of geometric figure in Euclidean space that possesses certain characteristics. Formally, a convex body can be defined as follows: 1. **Compactness**: A convex body is a compact set, meaning it is closed and bounded.
The Shapley–Folkman lemma is a result in the field of convex analysis and mathematical economics. It is named after Lloyd S. Shapley and Stephen Folkman, who contributed to its development. The lemma provides insights into how the aggregation of small perturbations of a set can approximate a convex set.
A **convex metric space** is a concept from the field of metric geometry, which generalizes the idea of convexity in Euclidean spaces to more abstract metric spaces. In a convex metric space, the notion of "straight lines" between points is defined in terms of the metric, allowing one to discuss the convexity of sets and the existence of curves connecting points.
AMiBA stands for the Arrayed Micro-Bolometer Array. It is an astronomical instrument designed for observing the cosmos, particularly in millimeter and submillimeter wavelengths. The primary goal of AMiBA is to study cosmic phenomena such as galaxy formation and evolution by mapping the cosmic microwave background (CMB) radiation and other astronomical objects. One of AMiBA's notable features is its use of an array of detector elements, which allows for high-resolution imaging and large-field observations.
The High Altitude Water Cherenkov Experiment (HAWC) is a ground-based observatory designed to detect gamma rays and cosmic rays through the use of the Cherenkov radiation phenomenon. Located in Puebla, Mexico, at an altitude of about 4100 meters (approximately 13,450 feet), HAWC is situated in a favorable location for observing high-energy astrophysical phenomena due to its high elevation and low atmospheric interference.
The Cosmic Background Imager (CBI) is a radio interferometer designed to study the Cosmic Microwave Background (CMB) radiation, which is the afterglow of the Big Bang. Located in the Atacama Desert of Chile, the CBI was constructed to provide high-resolution images of the CMB's fluctuations across the sky.
The Cosmic Microwave Background (CMB) is a relic radiation from the early Universe, providing vital information about cosmology, the formation of structures in the universe, and the laws of physics in extreme conditions. Various experiments and missions have been conducted over the years to study the CMB. Here’s a list of notable CMB experiments: ### Ground-Based Experiments 1.
The Mobile Anisotropy Telescope (MAT) is a type of observational instrument designed to measure anisotropies in the cosmic microwave background (CMB) radiation. The CMB is the remnant radiation from the Big Bang and provides important insights into the early universe, cosmology, and the fundamental properties of the universe. The "mobile" aspect typically refers to the telescope's ability to be transported and set up in various locations, making it versatile for different observational campaigns or experiments.
The QUIJOTE (Q-U-I JOint TEnerife) experiment is a scientific project designed to study the Cosmic Microwave Background (CMB) radiation, particularly focusing on understanding the polarization of the CMB, which can provide crucial insights into the early universe, including conditions during the period of inflation. QUIJOTE is situated on the island of Tenerife in the Canary Islands and employs a range of radio telescopes to observe the sky at microwave frequencies.
QUIET can refer to a few different concepts depending on the context. Here are a few meanings: 1. **General Definition**: The term "quiet" typically refers to a state of low noise or calmness. It can describe an environment that is free from disturbance, or it can refer to a person's demeanor. 2. **Technology**: In a technical context, QUIET might refer to the name of a specific software, project, or even an acronym (e.g.
SPIDER (Spherical Polarimeter for the Investigation of Dust and Exoplanets’ Reflectance) is an instrument designed to measure the polarization of light, particularly from astronomical objects. This polarimeter is used to study various celestial phenomena, including the light scattered by dust in protoplanetary disks, the atmospheres of exoplanets, and other astrophysical environments.

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