The Expected Value of Sample Information (EVSI) is a concept used in decision-making and statistics that quantifies the value of obtaining additional information before making a decision. It assesses how much a decision-maker would be willing to pay for the information because it helps in making better decisions. Here's a breakdown of the concept: 1. **Decision Analysis Context**: In situations where decisions are made under uncertainty, having additional information can significantly impact the outcomes. EVSI helps measure that impact.
Nonlinear expectation is a concept in the field of probability theory and stochastic processes that extends the classical notion of expectation (or expected value) by incorporating nonlinear transformations. It is a part of a broader area known as nonlinear probability, which studies situations where traditional linear assumptions about expectations and probability distributions may not hold. In classical probability, the expectation of a random variable is a linear operator.
The Coupon Collector's Problem is a classic problem in probability theory and combinatorics. It deals with the scenario where a collector seeks to acquire a complete set of coupons, with each coupon representing a unique item out of a finite collection. Each time a coupon is obtained (through purchase, random selection, etc.), it is equally likely to be any one of the available coupons. ### The Problem 1. **Setup**: There are \( n \) different types of coupons.
The concept of a "neighbourhood unit" is a planning and urban design framework that emphasizes the design and organization of residential areas to promote community interaction, accessibility, and a sense of belonging. Originally proposed by the urban planner Clarence Perry in the early 20th century, the neighbourhood unit concept is based on several key principles: 1. **Size and Scale**: A neighbourhood unit is typically defined as an area with a population of about 5,000 to 10,000 people.
DxOMark is a benchmark that measures the image quality of cameras, smartphone cameras, and lenses. Established in 2008 by a French company, DxO, the platform is well-regarded for its in-depth testing and reviews, which provide ratings based on objective criteria. DxOMark's tests cover various aspects of imaging performance, including: - **Dynamic Range**: The range of light intensities from the darkest shadows to the brightest highlights.
The Fractional Synthetic Rate (FSR) is a measure used in the field of metabolic research, particularly in studies related to protein synthesis and turnover. It represents the rate at which a specific protein is synthesized relative to the total amount of that protein present in the body or tissue at a given time.
The Eco-Management and Audit Scheme (EMAS) is a voluntary environmental management tool developed by the European Union. It aims to improve organizations' environmental performance through the implementation of effective management practices. Here are some key aspects of EMAS: 1. **Objectives**: The primary goal of EMAS is to promote continuous environmental performance improvements in organizations while ensuring compliance with environmental legislation.
The term "experimental event rate" typically refers to the frequency or proportion of a specific event occurring during an experimental study or clinical trial. This can include various types of events, such as outcomes, side effects, or any other significant occurrences that researchers measure to assess the effectiveness or safety of an intervention.
The preventable fraction, also known as the population attributable fraction (PAF), is a measure used in epidemiology to estimate the proportion of disease cases in a population that can be attributed to a specific risk factor or exposure. It provides insight into the potential impact of removing or reducing a risk factor on the health of a population.
Real-time outbreak and disease surveillance refers to the systematic collection, analysis, and interpretation of health-related data in real time to monitor, detect, and respond to public health threats, particularly infectious disease outbreaks. This approach leverages technology and data analytics to provide timely information that can help public health officials make informed decisions, implement interventions, and allocate resources effectively.
Relative risk (RR) is a measure used in epidemiology to compare the risk of a particular event (such as developing a disease) occurring in two different groups. It quantifies the likelihood of an event happening in one group relative to another group, typically comparing those exposed to a risk factor with those who are not.
Risk difference, also known as the absolute risk difference, is a measure used in epidemiology and clinical studies to quantify the difference in the risk of an event occurring between two groups. It is calculated by subtracting the risk (probability) of the event in one group from the risk in another group.
An inverted pendulum is a classic problem in physics and engineering that involves a pendulum which is attached to a pivot point above its center of mass. This system is unstable because, unlike a regular pendulum that swings down into a stable equilibrium position, an inverted pendulum is in a natural unstable equilibrium when it is perfectly vertical. The dynamics of an inverted pendulum can be described using principles of mechanics.
The Fellows of the International Federation of Automatic Control (IFAC) is an honorary designation awarded to individuals who have made significant contributions to the field of automatic control and systems engineering. The fellowship recognizes outstanding achievements in research, education, and leadership within the automatic control community. Being named a Fellow of IFAC is a mark of professional excellence and is typically conferred upon individuals who have demonstrated a high level of leadership, innovation, and impact in their work.
Claire J. Tomlin is a notable figure in the field of engineering and computer science, particularly recognized for her contributions to control theory, formal verification, and hybrid systems. She is a professor at the University of California, Berkeley, in the Department of Electrical Engineering and Computer Sciences. Her research often focuses on the intersection of control systems and computational methods, and she has published extensively on topics such as safety and robustness in dynamical systems, as well as the application of these principles in various engineering fields.
Gene F. Franklin is a prominent figure in the field of electrical engineering and control systems. He is best known as an author and educator, particularly for his contributions to control theory and systems engineering. One of his notable works is the textbook "Feedback Control of Dynamic Systems," which is widely used in engineering programs. Franklin's work often focuses on the analysis and design of systems that can maintain desired outputs despite varying conditions.
Jan Maciejowski is a mathematician known for his contributions to control theory, particularly in the area of linear and nonlinear systems. He has worked on topics such as robust control, optimization, and the application of algebraic methods in control systems. Maciejowski is also known for his educational contributions, particularly through textbooks and courses that focus on advanced control techniques.
John V. Breakwell is a prominent figure known for his work in the field of psychology, particularly in the areas of risk communication and management. He has contributed significantly to the understanding of how individuals and organizations perceive and respond to risks. His research often explores the psychological factors involved in risk assessment and decision-making processes. Breakwell also has authored or edited several publications in psychology, and he has been involved in various academic and research initiatives.
Kumpati S. Narendra is a prominent figure in the fields of electrical engineering and control systems. He is best known for his work in adaptive control, optimal control, and robotics. Narendra has made significant contributions to the development of algorithms and theory related to the control of dynamic systems, particularly methods for adaptive system identification and control. He has published extensively in scholarly journals and has authored several books on control theory and applications.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





