In music, "articulations" refers to the way in which specific notes or phrases are expressed in terms of their attack, duration, and decay. Articulation affects the character and attack of each note, influencing how they are played or sung. Common types of articulations include: 1. **Staccato**: Notes are played short and detached, creating a crisp sound. 2. **Legato**: Notes are played smoothly and connected, with no noticeable breaks between them.
Discovered in 1988, the first high-temperature superconductor which did not contain a rare-earth element.
A one-sided limit refers to the value that a function approaches as the input approaches a particular point from one side, either the left or the right. There are two types of one-sided limits: 1. **Left-Hand Limit**: This is denoted as \( \lim_{x \to c^-} f(x) \) and represents the value that \( f(x) \) approaches as \( x \) approaches \( c \) from the left (i.e.
A fuzzy control system is a type of control system that uses fuzzy logic instead of traditional binary sets (true/false or 1/0) to make decisions or control processes. Fuzzy logic is a form of many-valued logic that deals with reasoning that is approximate rather than fixed and exact. This makes it particularly useful for complex systems where uncertainty or imprecision is a factor.
W. Ross Ashby, or William Ross Ashby (1903–1972), was a British cybernetician and psychiatrist known for his contributions to the fields of cybernetics, systems theory, and complexity science.
Tensors are mathematical objects that generalize scalars, vectors, and matrices to higher dimensions. They are fundamental in various fields, including physics, engineering, and machine learning, particularly in deep learning. Here’s a brief overview of what tensors are: 1. **Definition**: A tensor is essentially a multi-dimensional array that can be used to represent data. Tensors can have any number of dimensions. - A **scalar** (a single number) is a 0-dimensional tensor.
A rockbreaker, often referred to as a rockbreaker system or hydraulic rockbreaker, is a type of heavy machinery used primarily in the construction, mining, and aggregate industries. It is designed to break apart large rocks, boulders, and concrete structures, making them easier to transport or process. ### Key Components of a Rockbreaker: 1. **Hydraulic Hammer**: The main component of a rockbreaker is its hydraulic hammer that delivers powerful strikes to break up rock or concrete.
Optics is the branch of physics that focuses on the study of light and its interactions with matter. It encompasses the behavior of light in various mediums, including reflection, refraction, diffraction, and polarization. There are two main branches of optics: 1. **Geometric Optics**: This branch deals with the approximation of light as rays. It studies how light travels in straight lines, how it interacts with lenses and mirrors, and how images are formed by optical systems.
The Maria reactor, also known as the Maria research reactor, is a nuclear research facility located in Poland. It is primarily used for research purposes, including neutron activation analysis, materials testing, and medical applications, such as the production of radioisotopes for cancer treatment and other medical uses. The reactor is operated by the National Centre for Nuclear Research (NCBJ) in Świerk, Poland.
Vacuum cooling is a method used primarily to cool food products quickly by utilizing the principles of reduced pressure. It is particularly effective for cooling items like fruits, vegetables, and some cooked foods. The process involves the following steps: 1. **Reduced Pressure**: The food product is placed in a vacuum chamber, where the pressure is significantly lowered. This decrease in pressure lowers the boiling point of water.
A piston pump is a type of positive displacement pump that uses a piston to move fluids. It operates by drawing fluid into a cylinder using a piston mechanism, and then forcing it out under pressure by moving the piston in the opposite direction. Piston pumps are commonly used for various applications due to their ability to handle high pressures and a wide range of fluid viscosities.
A vacuum engine, also known as an atmospheric engine or a steam vacuum engine, is a type of heat engine that operates by creating a vacuum in a cylinder to induce motion. These engines utilize differences in air pressure and temperature to produce mechanical work. ### Basic Operating Principle: 1. **Heating**: A heat source, such as burning fuel or a hot steam supply, heats air or water in the cylinder.
An inductor is a passive electrical component that stores energy in a magnetic field when an electric current passes through it. It typically consists of a coil of wire wound around a core, which can be made of air, iron, or other materials. The key properties of an inductor include: 1. **Inductance (L)**: This is the measure of an inductor's ability to store energy in the magnetic field, typically measured in henries (H).
A Banach lattice is a specific type of mathematical structure that arises in functional analysis, which is a branch of mathematics that deals with spaces of functions and their properties. More precisely, a Banach lattice is a combination of two concepts: a Banach space and a lattice. 1. **Banach Space**: A Banach space is a complete normed vector space.
"Discoveries" by Heikki A. Alikoski is a book that explores various themes, likely focusing on scientific, philosophical, or personal insights derived from observations and experiences. Heikki A. Alikoski is known for his efforts in interdisciplinary studies and his works often bridge the gap between different fields of knowledge.
Heinz Raether is a notable figure in the field of mathematics, specifically known for his work in analysis and topology.
X.509 is a widely used standard for public key infrastructure (PKI) that defines the format of public key certificates. It is part of the ITU-T X.500 series of standards for directory services. X.509 certificates bind an entity's identity to a public key, allowing secure communication and authentication over networks. ### Key Features of X.509: 1. **Certificate Structure**: An X.
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





