In music theory, particularly in the study of twelve-tone music, "prime form" refers to a specific way of representing a twelve-tone row or series. The prime form of a twelve-tone composition is the original ordering of the twelve pitches without transposition or inversion.
The Schwarz–Ahlfors–Pick theorem is a fundamental result in complex analysis and geometric function theory. It pertains primarily to the properties of holomorphic functions, particularly those that map from the unit disk to itself.
Euler's equations in the context of rigid body dynamics describe the rotation of a rigid body about a fixed point. When dealing with the motion of a rigid body, it's often useful to consider it as a system of particles and apply Newtonian mechanics. However, for rotating bodies, Euler's equations provide a more efficient approach.
Behavioral risk refers to the potential for negative outcomes that arise from individuals' behaviors, decision-making processes, and actions, often in the context of health, finance, and organizational settings. It recognizes that human behavior can lead to various types of risks, including those related to physical and mental health, financial decision-making, and workplace dynamics.
Risk aversion in psychology refers to the tendency of individuals to prefer outcomes that are certain over those that are uncertain, even when the uncertain option may offer a higher expected value. This behavioral trait can manifest in various decision-making scenarios, including finance, personal choices, and health-related behaviors. Key aspects of risk aversion include: 1. **Preference for Certainty**: Risk-averse individuals prefer guaranteed outcomes, even if they are lower in potential reward compared to risky alternatives.
Murphy's Law is a popular adage that states, "Anything that can go wrong will go wrong." It emphasizes the idea that if something has the potential to go wrong, it is likely to do so at the most inconvenient time. The phrase is often used humorously to express the inevitability of unexpected problems or setbacks in various situations, particularly in engineering, project management, and everyday life. It serves as a reminder to anticipate potential challenges and to plan accordingly to mitigate risks.
Pascal's mugging is a thought experiment in decision theory and ethics that illustrates a potential problem in utilitarian reasoning and situations involving infinite value. The term is named after the mathematician and philosopher Blaise Pascal, though the concept is more closely associated with the work of philosopher Eliezer Yudkowsky.
Flood control refers to various strategies, practices, and engineering techniques aimed at managing and reducing the impact of floods on communities, infrastructure, and the environment. Flooding can result from heavy rainfall, storm surges, melting snow, or dam failures, and can cause significant damage to property, loss of life, and disruptions to ecosystems.
Open assessment generally refers to evaluative processes that allow for flexibility, transparency, and inclusivity, often emphasizing collaboration and participation. It is commonly used in educational contexts but can also apply to various fields, including performance evaluation, peer assessment, and public policy. Here are some key features of open assessments: 1. **Transparency**: The criteria for assessment are clearly defined and made available to all participants, which helps to ensure fairness and accountability.
Continuous monitoring refers to the ongoing, regular assessment of systems, processes, or environments to ensure compliance, performance, and security. It involves the use of tools and methodologies to continuously collect and analyze data, allowing organizations to detect anomalies, vulnerabilities, or deviations from established standards in real-time or near-real-time.
Crisis management refers to the processes and strategies that organizations use to prepare for, respond to, and recover from unexpected events or emergencies that could negatively impact them. This discipline involves a coordinated approach to dealing with situations that may disrupt normal operations, harm an organization’s reputation, or pose risks to employees, stakeholders, or the public. Key components of crisis management include: 1. **Preparedness**: Developing a crisis management plan that outlines procedures and protocols for various types of crises.
The Flood Forecasting Centre (FFC) in the UK is a facility that plays a crucial role in managing flood risks through forecasting and monitoring flood conditions across the country. Established as a partnership between the Environment Agency (EA) and the Met Office, the FFC provides predictions, alerts, and advice regarding potential flooding events.
Identifying and Managing Project Risk refers to the systematic process of recognizing potential risks that could negatively impact a project and developing strategies to mitigate those risks. This is a critical component of project management that helps ensure that projects are completed on time, within budget, and to the desired quality standards. Here's a breakdown of the key elements involved in this process: ### 1.
The National Day of Mourning is a Canadian observance held annually on April 28. It serves as a day to remember and honor workers who have lost their lives or suffered injuries due to workplace accidents, occupational diseases, or work-related incidents. It was first established in 1984 by the Canadian Labour Congress and has since been recognized across the country.
As of my last knowledge update in October 2023, there isn't widely available information about "Nazareth-Conferences" as a specific event or organization. It's possible that it could refer to a conference or meeting related to topics associated with Nazareth, such as religious studies, Christian theology, or other relevant fields, especially given Nazareth's significance in Christianity.
The year 1987 is significant in the field of robotics for several reasons, primarily due to advancements in research, technology, and the development of notable projects and concepts. 1. **Advancements in Robotics Research**: During the mid-to-late 1980s, there was increasing interest in artificial intelligence and robotics, leading to new algorithms and frameworks for robot movement and perception.
In the context of robotics, the year 1989 is significant for several reasons, particularly in the advancements of robotic technology and its applications. Some notable developments include: 1. **ROS (Robot Operating System) Development**: Although ROS itself wasn't released until 2010, the foundational ideas for modularity and software frameworks in robotics were being explored around this time, setting the stage for future platforms.
In the context of robotics, the year 1954 is significant because it marks the introduction of the first industrial robot, known as Unimate. Developed by George Devol, the Unimate was a programmable robot that was first used in a General Motors factory in 1961 for tasks such as handling hot metal and assembly processes. Its development is considered a foundational moment in the evolution of robotics, leading to the integration of robotic systems in manufacturing and various industrial applications.
A Risk Management Plan is a document that outlines how risk will be identified, assessed, and managed throughout a project's lifecycle or within an organization's operations. It is an integral part of project management and organizational strategies, aimed at minimizing potential risks that could impact the achievement of objectives. Here are the key components typically included in a Risk Management Plan: 1. **Introduction and Purpose**: This section provides an overview of the plan, its purpose, and the scope of the risk management activities.
Total Security Management (TSM) is an integrated approach to security that encompasses all aspects of security within an organization, both physical and digital. It aims to provide a comprehensive framework for managing security risks, ensuring compliance, and maintaining the safety of personnel, assets, and information.

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