Stress triaxiality is a measure used to describe the state of stress at a point in a material, particularly in the context of failure and fracture mechanics. It provides insight into how the material will respond under different loading conditions and is particularly useful for analyzing ductile materials.
Adaptive control is a type of control strategy used in control systems where the controller parameters can change dynamically in response to variations in the system or environment. Unlike traditional control systems, which typically use fixed parameters, adaptive control systems can adjust their parameters in real-time to maintain optimal performance despite changes in system dynamics or external disturbances.
A data-driven control system is a type of control system that relies primarily on data to make decisions and optimize performance rather than relying solely on mathematical models of the system being controlled. This approach uses real-time data and historical data to inform control strategies, making it particularly useful in complex or nonlinear systems where traditional model-based control methods may struggle or be infeasible.
Deadband is a concept commonly used in engineering and control systems, referring to a range of values within which a system does not respond to changes. Essentially, it is a threshold that prevents minor fluctuations in input from affecting the output or operation of a system. ### Key Points: 1. **Applications**: Deadband is widely used in various fields, including temperature control systems (like HVAC), automation, robotics, and process control.
H-infinity loop-shaping is a control design methodology that combines the principles of robust control and frequency domain techniques. This approach is often used in the design of feedback controllers for dynamic systems, particularly when robustness to disturbances and model uncertainties is a key concern. ### Key Concepts of H-Infinity Loop-Shaping: 1. **H-infinity Norm**: The H-infinity norm is a measure of the worst-case gain of a system when subjected to all possible inputs.
Input shaping is a control technique commonly used in engineering, particularly in the fields of robotics, manufacturing, and mechatronics, to reduce or eliminate vibrations in dynamic systems. This approach involves modifying the input signal to a system (such as a motor or actuator) so that the system responds with minimal oscillation or resonance. The basic idea behind input shaping is to modify the command signals sent to the actuator in such a way that the resulting motion is smooth and free of unwanted vibrations.
Krener's theorem is a result in the field of control theory, particularly relating to the behavior of nonlinear dynamical systems. The theorem is primarily concerned with the existence of optimal control strategies for certain types of control problems. In essence, Krener's theorem provides conditions under which a feedback control law can be formulated that stabilizes a nonlinear system around an equilibrium point and achieves optimality regarding a given performance criterion, typically expressed as a cost function.
The TenDRA Distribution Format (TDF) is a standardized method for representing, distributing, and manipulating software source code. It is closely associated with the TenDRA compiler, which is designed for the implementation of programming languages, primarily C and C++. TenDRA emphasizes strong typing, modularity, and the ability to support multiple programming languages.
In the context of control theory, "orbit" often refers to the trajectory or path that a dynamical system follows in its state space over time. Specifically, an orbit is defined as the set of states that a system can reach from a given initial state under the influence of its governing dynamics.
Positive systems refer to a class of dynamic systems characterized by non-negativity in their states and outputs. In control theory and systems engineering, a system is considered positive if, given non-negative initial conditions and non-negative inputs, the system's states and outputs will remain non-negative for all time. ### Key Characteristics of Positive Systems: 1. **Non-Negativity**: All states and outputs of the system must stay non-negative whenever initial conditions and inputs are non-negative.
A pulse-swallowing counter is a type of digital counter used in electronics and computer hardware, particularly in applications involving frequency division or time measurement. The term typically refers to a counting mechanism where the counter increments or decrements its count based on specific pulses that are "swallowed" or ignored for control purposes. In more detail, the concept often applies to designs where the frequency of incoming signals (like clock pulses) is reduced or divided by a certain factor.
Viscous damping refers to a type of damping that is proportional to the velocity of an object moving through a fluid or a material. This phenomenon is commonly observed in mechanical systems, particularly in oscillating or vibrating systems, where energy is dissipated as heat due to the resistance of the fluid or medium. In the context of mechanical vibrations, viscous damping can be described using a damping force that is proportional to the velocity (\(v\)) of the object.
The "airport problem" generally refers to a variety of optimization problems related to the operation and management of airports, particularly those involving scheduling, capacity management, and resource allocation. Depending on the context, it can involve several specific issues: 1. **Flight Scheduling**: Determining optimal schedules for arrivals and departures to minimize delays while maximizing the utilization of runways, gates, and other resources.
XXTEA (Corrected Block TEA) is a block cipher designed to provide secure encryption for data. It is an enhancement and refinement of the original TEA (Tiny Encryption Algorithm), which is known for its simplicity and efficiency. XXTEA addresses certain vulnerabilities and limitations in the original TEA design.
"Paradise Lost" is an epic poem written by the English poet John Milton, first published in 1667. The poem is written in blank verse and consists of twelve books. It explores the biblical story of the Fall of Man, depicting the rebellion of Satan and his followers, the creation of humanity, and the subsequent temptation of Adam and Eve that leads to their expulsion from the Garden of Eden.
Classical cryptography refers to traditional methods of encrypting and securing information before the development of modern cryptographic techniques using computers. These classical methods primarily emerged before the 20th century and often involve manual techniques for encoding messages. Here are some of the key features and common techniques associated with classical cryptography: ### Key Features: 1. **Symmetric Key Cryptography**: Most classical cryptographic methods use the same key for both encryption and decryption.
CryptoParty is an event designed to educate individuals about cryptography and digital privacy. These gatherings typically focus on fostering a community-oriented atmosphere where participants can learn about various tools and techniques to secure their online communications and protect their personal data. In a CryptoParty, attendees often learn about topics such as: - Encryption methods and tools (e.g., PGP for securing emails, VPNs for internet privacy) - Best practices for maintaining privacy online - Secure messaging applications (e.g.
"Cypherpunks: Freedom and the Future of the Internet" is a book authored by Julian Assange, the founder of WikiLeaks, along with several prominent figures associated with the cypherpunk movement, including Jacob Appelbaum, Andy Müller-Maguhn, and Jérémie Zimmermann. Published in 2012, the book serves as a manifesto advocating for privacy, digital freedom, and the protection of civil liberties in the face of increasing surveillance and control by governments and corporations.
A Feistel cipher is a type of symmetric key cipher that is widely used in encryption algorithms. It is named after the German-born cryptographer Horst Feistel, who developed the structure in the 1970s. The primary characteristic of a Feistel cipher is its design, which divides the data block into two halves and processes them through multiple rounds of encryption operations.
NIPRNet, or the Non-Secure Internet Protocol Router Network, is the U.S. Department of Defense's unclassified network. It provides a communication infrastructure for the military and other federal agencies to exchange unclassified data over a secure, stable, and reliable network while ensuring a certain level of security. NIPRNet supports a wide range of applications, including email, web browsing, and file sharing, and it allows users to access unclassified information and services.

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