The SNC-Lavalin affair refers to a political scandal in Canada involving the engineering and construction firm SNC-Lavalin Group Inc. The controversy came to prominence in 2019 and involved allegations of political interference in a criminal prosecution against the company.
The ABJM (Aharony-Bergman-Jafferis-Maldacena) superconformal field theory is an important theoretical framework in the realm of high-energy physics and string theory. Developed in 2008 by Ofer Aharony, Ofer Bergman, Daniel Jafferis, and Juan Maldacena, this theory describes a class of three-dimensional superconformal field theories (SCFTs).
Boundary Conformal Field Theory (BCFT) is a theoretical framework within the realm of conformal field theory (CFT) that focuses on systems exhibiting conformal symmetry in the presence of boundaries. It extends the concepts of conformal field theory by studying how the presence of boundaries affects the behavior of the quantum fields, the spectrum of states, and the correlation functions in a system.
The Pohlmeyer charge arises in the context of integrable systems, particularly in the study of two-dimensional nonlinear sigma models and string theory. It is named after Wolfgang Pohlmeyer, who analyzed the integrable properties of these models. The Pohlmeyer charge is associated with certain symmetries in the system, specifically those related to the underlying algebraic structure of the model.
Selberg's 1/4 conjecture, proposed by the Norwegian mathematician Atle Selberg, is a conjecture in the field of number theory and specifically related to the distribution of the zeros of the Riemann zeta function and other Dirichlet series.
Khabibullin's conjecture, proposed by the mathematician Ildar Khabibullin, revolves around integral inequalities related to certain classes of functions, particularly focusing on the relationships that hold for integrals of products of functions and their transformations. The conjecture suggests specific bounds and properties for these integrals, often drawing upon known results in functional analysis, inequalities, and perhaps the theory of convex functions.
A motor soft starter is an electrical device used to control the starting and stopping of electric motors, particularly induction motors. Its primary purpose is to reduce the inrush current and mechanical stress on the motor and the connected load during startup, which can be particularly useful in applications involving large motors or heavy machinery. ### Key Functions and Features: 1. **Gradual Start:** A soft starter allows the motor to ramp up to its full speed gradually, rather than starting abruptly.
The field of computer science encompasses various unsolved problems that challenge researchers and practitioners. Here are some notable unsolved problems in computer science: 1. **P vs NP Problem**: Perhaps the most famous problem in computer science, it asks whether every problem for which a solution can be verified quickly (in polynomial time) can also be solved quickly (in polynomial time). The Clay Mathematics Institute offers a $1 million prize for a correct solution.
Control devices are components or systems used to manage and regulate the behavior of other devices or processes. They serve a vital role in automation and control systems across various industries, including manufacturing, automotive, aerospace, robotics, home automation, and more. Here are some key aspects of control devices: ### Types of Control Devices: 1. **Sensors**: Devices that detect and measure physical properties (such as temperature, pressure, light, motion, etc.
Spinmechatronics is a field of study that combines aspects of spintronics (spin transport electronics) and mechatronics (the integration of mechanical engineering, electronic engineering, computer science, and control engineering). The term reflects a multidisciplinary approach that involves the manipulation and utilization of individual electron spins in mechanical systems for various applications.
The Thomas–Yau conjecture is a conjecture in the field of algebraic geometry and differential geometry, particularly relating to the study of the geometry of certain types of spaces called "special Lagrangians" and the moduli space of stable sheaves. It was proposed by Thomas and Yau in the early 2000s.
Dendroid, in the context of topology, refers to a specific type of topological space that is similar to the structure of a tree but can be generalized in various ways. Generally, a dendroid is a locally connected, compact, non-empty, continuum that is also a dendritic (tree-like) structure. Key characteristics of dendroids include: 1. **Locally Connected**: Every point within a dendroid has a neighborhood base consisting of connected sets.
An indecomposable continuum is a concept from topology, specifically in the study of continua (which are compact, connected metric spaces). A continuum \( X \) is said to be indecomposable if it cannot be represented as the union of two proper, non-empty, closed subsets.
High-redundancy actuation refers to a system design philosophy, particularly in robotics, aerospace, and other engineering fields, that incorporates multiple actuators or actuator systems to perform the same function or control the same component. This redundancy serves several key purposes: 1. **Fault Tolerance**: If one actuator fails, the system can still operate using the remaining actuators, thereby increasing the reliability of the system.
Control communications generally refers to the processes and technologies used to manage and direct systems, equipment, or operations through the use of communication methods. In various fields, it can imply different specific functions or applications. Here are some contexts where control communications are relevant: 1. **Industrial Automation**: In manufacturing and production environments, control communications often involve the protocols and systems used for monitoring and controlling machinery and production lines.
ECU-TEST is a software tool developed by the company **Vector Informatik** that is primarily used for testing and validation of embedded systems, particularly in the automotive industry. The tool provides a comprehensive environment for testing Electronic Control Units (ECUs), which are critical components found in modern vehicles that control various functions such as engine management, transmission control, and body systems.
Electrification and controls technology encompasses a broad range of systems and processes that utilize electrical power to drive, control, and optimize various operations across multiple industries. This technology has gained significant importance as industries seek to enhance efficiency, reduce emissions, and improve overall performance. Here are the key components: 1. **Electrification**: - **Definition**: Electrification refers to the process of powering systems and devices using electricity instead of other forms of energy like fossil fuels.
Automation protocols are standardized methods and rules that enable devices, systems, and applications to communicate and interact with each other in various industries, including manufacturing, home automation, and building management. Here's a list of common automation protocols: ### 1. **Modbus** - A serial communication protocol widely used in industrial automation to facilitate communication between devices. ### 2.
MIMO stands for Multiple Input Multiple Output. It is a technology used in wireless communications to improve the performance and capacity of a communication system. MIMO utilizes multiple antennas at both the transmitter and receiver ends to send and receive more data simultaneously over the same radio channel. Key benefits of MIMO include: 1. **Increased Capacity**: By transmitting multiple data streams at the same time, MIMO can significantly increase the data capacity of a communication link without requiring additional bandwidth.

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