Traffic congestion reconstruction using Kerner's three-phase theory refers to understanding and analyzing traffic flow dynamics based on a theoretical framework proposed by Professor Bidaneet Kerner. This theory provides insights into the mechanisms behind traffic congestion and its phases, particularly focusing on the transition between free flow, synchronized flow, and congestion. ### Overview of Kerner's Three-Phase Theory 1. **Free Flow Phase**: - In this phase, vehicles are moving freely with little to no delay.
Stronger uncertainty relations are generalizations of the traditional uncertainty principles in quantum mechanics, which articulate the limitations on the simultaneous knowledge of certain pairs of observables (like position and momentum).
The Mathematical Society of the Republic of Moldova (Societatea de Științe Matematice din Republica Moldova) is a professional organization that aims to promote the study, research, and teaching of mathematics in Moldova. It serves as a platform for mathematicians, educators, and students to collaborate, share knowledge, and advance mathematical sciences within the country.
Wigner's classification refers to a systematic approach to categorize the symmetries and properties of quantum systems based on the principles of group theory, particularly in the context of nuclear and particle physics. It is named after the physicist Eugene Wigner, who contributed to the understanding of symmetries in quantum mechanics. The classification typically deals with the representations of groups that describe symmetries of physical systems.
The Wigner–Weyl transform is a mathematical formalism used in quantum mechanics and quantum optics to connect quantum mechanics and classical mechanics. It provides a way to represent quantum states as functions on phase space, which is a mathematical space that combines both position and momentum variables. ### Key Features: 1. **Phase Space Representation**: The Wigner–Weyl transform maps quantum operators represented in Hilbert space into phase space distributions.
The Yang–Mills equations are a set of partial differential equations that describe the behavior of gauge fields in the context of gauge theory, which is a fundamental aspect of modern theoretical physics. Named after physicists Chen-Ning Yang and Robert Mills, who formulated them in 1954, these equations generalize Maxwell's equations of electromagnetism to non-Abelian gauge groups, which are groups that do not necessarily commute.
"Knowledge space" can refer to different concepts depending on the context in which it is used. Here are some of the common interpretations: 1. **Ontology and Knowledge Representation**: In fields like artificial intelligence and knowledge management, a knowledge space refers to a structured representation of knowledge. This can include concepts, categories, and the relationships between them, often organized in a way that facilitates understanding and inference.
The Lövheim Cube of Emotions is a psychological model that aims to depict and explain human emotions in a three-dimensional cube format. Developed by Swedish psychologist Göran Lövheim, the model integrates scientific findings about emotions and their neurobiological underpinnings. The cube consists of three axes, each representing a different dimension of emotional experience: 1. **Valence** (Pleasure vs.
The theory of conjoint measurement is a mathematical framework used to understand and quantify preferences, particularly in the context of decision-making processes where multiple attributes are considered. It originated in the field of psychophysics and operational research, and it has applications in economics, social sciences, marketing, and various areas of management. ### Key Concepts: 1. **Attributes and Levels**: In a typical conjoint analysis, choices are characterized by a set of attributes, each of which may have different levels.
The American Mathematical Society (AMS) is a professional organization based in the United States that aims to promote the advancement, dissemination, and utilization of mathematical research and education. Founded in 1888, the AMS fulfills a variety of roles, including: 1. **Publication**: The AMS publishes several prestigious journals, books, and conference proceedings in the field of mathematics, providing a platform for researchers to share their findings.
In mathematics, "representation" generally refers to a way to express mathematical objects in a particular form or through certain structures. The term can be used in various specific contexts, including but not limited to: 1. **Linear Representation**: In linear algebra and representation theory, a representation of a group is a way of expressing the elements of a group as linear transformations (i.e., matrices) of a vector space. This allows one to study group properties using linear algebra.
The Australian Mathematical Society (AustMS) is a professional organization that supports the advancement, research, and dissemination of mathematics in Australia. Established in 1956, the society aims to promote mathematics within the community, promote mathematics education, and facilitate collaboration among mathematicians.
The Hamburg Mathematical Society (Hamburger Mathematikgesellschaft, HMG) is a professional organization dedicated to the promotion and advancement of mathematics in Hamburg, Germany. Founded in 1893, the society aims to foster collaboration among mathematicians, support mathematical research and education, and facilitate communication among its members. The society organizes various activities such as seminars, lectures, and conferences, providing a platform for mathematicians to discuss their work and share knowledge.
The Icelandic Mathematical Society (Íslenska stærðfræðifélagið) is an organization dedicated to promoting the field of mathematics in Iceland. It serves as a platform for mathematicians, researchers, and educators to collaborate, share knowledge, and advance mathematical research and education in the country. The society typically organizes seminars, conferences, and workshops, and it may also publish research and educational materials related to mathematics.
The Iranian Mathematical Society (IMS) is an academic organization that aims to promote the advancement and dissemination of mathematical knowledge in Iran and foster collaboration among mathematicians. Established in 1966, the society provides a platform for researchers, educators, and students to engage in mathematical activities, including conferences, workshops, and publications. The IMS publishes various scientific journals, organizes events, and supports research initiatives in diverse areas of mathematics.
The Israel Mathematical Union (IMU) is an organization that represents mathematicians in Israel. It serves as a platform to promote mathematical research and education in the country. The IMU facilitates communication and collaboration among mathematicians, organizes conferences, workshops, and seminars, and is involved in fostering mathematical activities and outreach. The IMU may also collaborate with international mathematical societies and participate in global mathematical initiatives.
The Malta Mathematical Society is an organization dedicated to promoting the study and application of mathematics in Malta. It serves as a platform for mathematicians, educators, and students to collaborate, share knowledge, and conduct research. The society often organizes seminars, workshops, and conferences to encourage the exchange of ideas and to foster interest in mathematics among the public and in educational institutions.
The National Association of Mathematicians (NAM) is an organization founded in 1969 with the aim of promoting the participation of underrepresented minorities in the mathematical sciences. NAM's mission includes fostering professional development, providing networking opportunities, and serving as a voice for the interests of its members within the broader mathematics community. NAM plays a crucial role in advocating for diversity and inclusion in mathematics and related fields, organizing conferences, workshops, and educational programs to support students and professionals, particularly from marginalized communities.
The Nepal Mathematical Society (NMS) is a professional organization dedicated to the promotion and advancement of mathematics in Nepal. Established to foster mathematical research, education, and collaboration among mathematicians, the society typically engages in various activities such as organizing conferences, workshops, and seminars aimed at enhancing mathematical knowledge and application in the region. The NMS also focuses on encouraging mathematical research by providing a platform for mathematicians to present their work and collaborate on projects.
The Norwegian Mathematical Society (Den Norske Matematiske Forening) is a professional organization in Norway that aims to promote the advancement, dissemination, and application of mathematics. Founded in 1875, it serves as a platform for mathematicians, researchers, teachers, and students to engage with one another and with the broader community. The society organizes various activities, including conferences, seminars, and workshops, to foster collaboration and the sharing of knowledge in the field of mathematics.

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