Feedback refers to information, responses, or reactions provided regarding a person's performance, behavior, or understanding of a task, concept, or situation. It is typically used to improve, guide, or modify future actions, decisions, or methods. Feedback can come in various forms, including: 1. **Verbal Feedback**: Spoken comments or discussions about someone's performance. 2. **Written Feedback**: Comments provided in written form, such as in reports, assessments, or reviews.
In the context of stochastic processes, the "filtering problem" refers to the challenge of estimating the internal state of a dynamic system based on noisy observations over time. More formally, it involves inferring the hidden or latent variables (states) of a system given a series of observations (measurements) that are corrupted by noise.
Water exists in several forms, primarily classified based on its state of matter and conditions. The main forms of water include: 1. **Liquid Water**: This is the most common form of water that we encounter in everyday life. It is the state of water at temperatures between 0°C and 100°C (32°F and 212°F) at standard atmospheric pressure. Liquid water is essential for all known forms of life.
In systems theory, "flatness" refers to a property of nonlinear dynamic systems that allows for the simplification of system control and state estimation. It is particularly relevant in the context of control theory and nonlinear control systems. A system is considered "flat" if there exists a set of flat outputs such that the system's states and inputs can be expressed algebraically in terms of these outputs and a finite number of their derivatives.
Argentine women mathematicians have made significant contributions to the field of mathematics, although historically, they have often been underrepresented. Over the years, a number of Argentine women have gained recognition for their work in various areas of mathematics, including pure mathematics, applied mathematics, and mathematical education. Some notable Argentine women mathematicians include: 1. **Susana McD.
The term "explanatory gap" refers to a philosophical concept that highlights the difficulty of explaining how physical processes in the brain relate to subjective experiences or consciousness. It is often discussed in the context of discussions about the philosophy of mind and the mind-body problem. The explanatory gap arises from the challenge of bridging the gap between the objective, measurable processes of the brain (such as neural activity) and the subjective experience of consciousness (such as sensations, perceptions, and feelings).
H-infinity (H∞) methods in control theory are a class of techniques used to design controllers that provide robust performance and stability for dynamic systems, particularly when dealing with uncertainties and disturbances. The "H-infinity" refers to a particular norm (the H-infinity norm) used in the analysis and design of control systems.
The Halanay inequality is a mathematical result used primarily in the study of dynamic systems and difference equations. It provides conditions under which the solutions of certain types of difference or differential equations converge to a certain state, often to zero, at a specified rate.
The Hautus lemma is a result in the field of functional analysis and operator theory, specifically concerning the spectral theory of closed operators in a Hilbert space. It provides a condition under which the resolvent of a densely defined closed linear operator is compact on a suitable set.
Mix networks are a technology used primarily to enhance privacy and anonymity in communication networks. They serve to obscure the identity of senders and recipients by mixing multiple messages together in such a way that it becomes difficult to trace any individual message back to its source. ### Key Features of Mix Networks: 1. **Anonymization**: Mix networks ensure that the sender's identity is concealed from the recipient and vice versa. This is achieved by mixing messages from multiple users.
Impulse response is a fundamental concept in linear systems and signal processing. It describes how a system responds to an input signal that is an impulse, typically represented as a Dirac delta function. The impulse response characterizes the behavior and characteristics of the system over time.
Intelligent control refers to a form of control system that incorporates advanced computational techniques and algorithms to enable systems to perform tasks that typically require human intelligence. This approach is often used in various fields, including robotics, process engineering, and automotive systems. The main characteristics and components of intelligent control include: 1. **Adaptive Control**: Intelligent control systems can adapt their behavior based on changing conditions or environments. They use feedback from the system to improve performance dynamically.
The term "internal model" in the context of motor control refers to a cognitive framework that the brain uses to predict the consequences of its own motor actions. This concept is grounded in the understanding of how the brain processes information related to movement and how it helps to coordinate and adjust actions based on sensory feedback. ### Components of Internal Models 1. **Forward Model**: This component predicts the sensory consequences of a movement before it is executed.
The Kalman filter is an algorithm that provides estimates of unknown variables based on a series of noisy measurements over time. It is widely used in fields such as engineering, robotics, economics, and signal processing for tasks such as tracking and estimation. The Kalman filter operates in two main phases: 1. **Prediction Phase**: In this phase, the filter predicts the state of the system at the next time step based on the current state estimate and a mathematical model of the system dynamics.
Seth Putterman is known as a physicist and a professor who has made contributions to various fields, particularly in the study of plasma physics and acoustics. He has worked on topics related to the fundamental principles governing sound and energy transfer in different media. His work can often involve interdisciplinary aspects, bridging physics with engineering and material science.
Fluid statics, also known as hydrostatics, is the branch of fluid mechanics that deals with fluids at rest. It studies the behavior and properties of fluids when they are not in motion, particularly the forces and pressures exerted by fluids at rest and their effects on surrounding structures. Key concepts in fluid statics include: 1. **Pressure in Fluids**: In a static fluid, pressure increases with depth due to the weight of the fluid above.
A **learning automaton** is a mathematical model used in the field of machine learning and adaptive systems. Essentially, it is an automaton that interacts with its environment in order to learn how to make decisions based on feedback received from that environment. Learning automata are particularly useful for optimization tasks and environments where the outcomes are uncertain.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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