In Austria, speed limits for vehicles vary based on the type of road and vehicle. Here are the general speed limits: 1. **Motorways (Autobahnen)**: - Cars: 130 km/h (81 mph) is the recommended maximum speed, although there is no enforced limit on certain sections. - Trucks and buses over 3.5 tons: 100 km/h (62 mph).
Spherical harmonics are a set of mathematical functions that are defined on the surface of a sphere and are used in a variety of fields, including physics, engineering, computer graphics, and geophysics. They can be viewed as the multidimensional analogs of Fourier series and are particularly useful in solving problems that have spherical symmetry.
Spin canting is a phenomenon observed in magnetic materials, particularly in antiferromagnets, where the spins of magnetic moments deviate from perfect alignment along a particular axis. In an ideal antiferromagnet, adjacent spins are oriented in exactly opposite directions, resulting in no net magnetization.
Spinor spherical harmonics are mathematical functions that arise in various domains of physics, particularly in quantum mechanics and the theory of angular momentum. They are a generalization of conventional spherical harmonics and are used to represent the states of spinning particles, such as fermions, in a way that takes into account their intrinsic spin.
Spontaneous absolute asymmetric synthesis refers to a process in which an achiral compound spontaneously transforms into a chiral product without the influence of any external chiral environments or catalysts. In other words, it describes a scenario where an achiral precursor can lead to the formation of a chiral product in a way that does not require any external chiral sources or conditions.
Sports figurines are collectible figurines or statues that represent athletes, sports heroes, or sporting events. They are usually made from materials like plastic, resin, metal, or ceramic and can vary in size from small collectible models to larger display pieces. Sports figurines often depict players in action poses, celebrating significant moments in sports history, or showcasing specific teams and sports disciplines. These figurines are popular among fans of various sports, including baseball, basketball, football, hockey, soccer, and more.
A Williamson amplifier is a type of audio power amplifier designed in the 1940s by British engineer Harold Stephen Williamson. It is known for its high fidelity and is notable for its use in vacuum tube audio amplification, making it popular among audiophiles and in high-quality audio applications. The Williamson amplifier features a push-pull output stage typically using vacuum tubes, which helps to reduce distortion while delivering high power.
The Workshop on Logic, Language, Information, and Computation (WoLLIC) is an academic event that focuses on the intersection of logic, linguistics, computer science, and cognitive science. The workshop typically features a series of talks, presentations, and discussions that explore topics such as formal logic, computational linguistics, the semantics of natural language, and the theoretical foundations of computer science. WoLLIC aims to bring together researchers from diverse fields to foster collaboration and exchange ideas.
Place cells are specialized neurons found in the hippocampus, a region of the brain that is critical for memory and spatial navigation. These cells play a crucial role in helping an organism understand its environment and navigate through it. Here are some key characteristics of place cells: 1. **Spatial Mapping**: Place cells become active when an animal is in a specific location in its environment, and they fire in relation to that particular place.
SoaML, or Service-Oriented Architecture Modeling Language, is a modeling language designed to facilitate the specification and analysis of service-oriented architecture (SOA) systems. It provides a standardized way to represent the components, interactions, and behaviors of services in SOA, which are critical for designing and understanding large and complex systems composed of distributed services. SoaML extends the Unified Modeling Language (UML) by introducing specific constructs and diagrams that are suited for modeling services and their interrelationships.
Cartan's theorem refers to various results in differential geometry and related fields that are associated with the mathematician Henri Cartan. The most notable of these results include: 1. **Cartan's Theorems A and B:** These theorems are fundamental results in the theory of differential equations and are particularly important in the study of systems of partial differential equations. They relate to the integrability of differential forms and the existence of solutions to certain types of differential equations.
A **eutactic star** is a mathematical concept used within the field of convex geometry and refers to a specific type of geometric configuration. While the term may not be widely known or used in all contexts, eutactic stars are generally related to the study of geometric shapes that exhibit certain symmetrical properties and configurations. In a more technical context, a eutactic star can be described using properties associated with star polytopes or star shapes in multidimensional spaces.
Vector notation is a mathematical and scientific way of representing vectors, which are quantities that have both magnitude and direction. In various fields such as physics, engineering, and computer science, vectors are crucial for describing forces, velocities, displacements, and other phenomena. Here are the common forms of vector notation: 1. **Boldface notation**: Vectors are often represented in boldface, e.g., **v**, **a**, or **F**.
PSRK stands for "Predictive Soave-Redlich-Kwong." It is a thermodynamic model used primarily for predicting the phase behavior of mixtures, especially in the context of fluids and gas processing. The model is based on the Soave-Redlich-Kwong equation of state, which is an improvement over the original Redlich-Kwong equation of state for better accuracy in handling non-ideal gas behavior.
An ordered vector space is a vector space that is also endowed with a compatible order relation, which allows for the comparison of different elements (vectors) in the space. This concept combines the structure of a vector space with that of an ordered set. ### Components of Ordered Vector Spaces: 1. **Vector Space:** A set \( V \) along with two operations: vector addition and scalar multiplication, satisfying the axioms of a vector space.
The essential spectrum is a concept from functional analysis, particularly in the study of bounded linear operators on Hilbert or Banach spaces. It is a generalization of the notion of the spectrum of an operator, focusing on properties that remain invariant under compact perturbations.
Multi-spectral phase coherence is a concept commonly used in fields like remote sensing, imaging, and spectroscopy. It refers to the coherent analysis of phase information across different spectral bands or wavelengths. Here's a breakdown of the main components of the concept: 1. **Multi-Spectral**: This term refers to the collection of data across multiple wavelengths or spectral bands. In remote sensing, for example, multi-spectral images are collected using sensors that capture light in various parts of the electromagnetic spectrum (e.g.
The Rayleigh–Faber–Krahn inequality is a result in the field of mathematical analysis, particularly concerning eigenvalues of the Laplace operator. It provides a relationship between the eigenvalues of a bounded domain and the geometry of that domain. Specifically, the inequality states that among all domains of a given volume, the ball (or sphere, in higher dimensions) minimizes the first eigenvalue of the Laplace operator with Dirichlet boundary conditions.

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