Marc Mézard is a prominent French physicist known for his contributions to statistical mechanics, complex systems, and theoretical computer science. His research often focuses on the interplay between physics and information science, including topics like spin glasses, optimization problems, and algorithms. He has published numerous papers and is well-recognized in the academic community for his work.
The Abel equation is a type of integral equation named after the Norwegian mathematician Niels Henrik Abel. It is typically expressed in the following form: \[ \frac{dy}{dx} = -f(y) \] where \( f(y) \) is a function of \( y \). The equation is often studied in the context of its relationship to certain integral representations, and it can also be transformed into different forms that may be more amenable to analysis.
High-dimensional model representation (HDMR) is a mathematical and computational technique used in the field of applied mathematics, engineering, and statistics to analyze complex models and functions that depend on multiple variables. The main goal of HDMR is to represent a high-dimensional function in a more manageable form, which can facilitate analysis, optimization, and uncertainty quantification.
Progetto K is a research project designed to gather insights into the dynamics of the online environment and its effects on individuals and society. The initiative aims to explore various aspects, including the influence of social media, the impact of digital communication on relationships, and the broader societal changes driven by technology.
A rigid transformation, also known as a rigid motion, is a type of transformation in geometry that preserves the shape and size of a figure. This means that the distance between any two points in the figure remains constant, and the angles between lines also remain unchanged after the transformation. There are three main types of rigid transformations: 1. **Translation**: This involves moving a figure from one position to another without changing its orientation or size.
Similarity invariance, in a general sense, refers to the property of certain mathematical objects, functions, or systems that remain unchanged under specific transformations. The term can be applied in various fields, including geometry, statistics, and machine learning, among others. Here are a few contexts where similarity invariance is relevant: 1. **Geometry**: In geometry, similarity invariance often pertains to the properties of shapes that remain unchanged when objects are scaled, rotated, or translated.
Hamidou Tembine is a researcher and professor known for his work in the fields of networking, systems, and AI. He has contributed significantly to areas such as wireless systems, network optimization, and machine learning applications within these domains. Tembine's research often involves mathematical modeling and analysis to address complex problems in communication networks, particularly in the context of improving the efficiency and performance of various network protocols and systems.
Robert J. Elliott could refer to several individuals, as it is a relatively common name. However, one notable person is Robert J. Elliott, a prominent figure in the field of finance and risk management, particularly known for his contributions to the development of statistical methods and theoretical frameworks for financial applications. If you have a specific context in mind (such as finance, academia, literature, etc.
The compact-open topology is a topology defined on the space of continuous functions between topological spaces, particularly when considering the set of continuous functions from one topological space to another. This topology is especially useful in areas like functional analysis and algebraic topology.
The Asian Association on Remote Sensing (AARS) is an international organization that focuses on the promotion and advancement of remote sensing technologies and applications in Asia. Established to facilitate the exchange of knowledge and expertise among countries in the region, AARS plays a key role in fostering collaboration among researchers, institutions, and organizations engaged in remote sensing activities.
The Earth ellipsoid, also known as a reference ellipsoid, is a mathematical representation of the Earth's shape, which approximates it as an oblate spheroid. The Earth's rotation causes it to flatten slightly at the poles and bulge at the equator, making it not a perfect sphere. The ellipsoidal model provides a simplified way to describe the size and shape of the Earth for various applications, including mapping, navigation, and geodesy.
The Jordan Transverse Mercator (JTM) is a specific geographical coordinate system used in Jordan, based on the Transverse Mercator projection. This type of projection is commonly employed for mapping and surveying purposes because it provides a good representation of smaller regions by minimizing distortion in distance, area, shape, and direction. The JTM is particularly useful for local and national mapping in Jordan, allowing for precise positioning and navigation within the country.
The Journal of Geodesy is a scientific journal that focuses on the field of geodesy, which is the science of measuring and understanding the Earth's geometric shape, orientation in space, and gravity field. It publishes research articles, technical notes, and reviews related to various aspects of geodesy, including satellite geodesy, geodetic measurements, Earth observation, geophysical applications, and the study of the Earth's crust and its dynamics.
Pseudorange is a term used in satellite-based positioning systems, such as Global Positioning System (GPS), to describe the calculated distance between the satellite and the receiver. It is called "pseudorange" because it is not an exact distance; rather, it is an estimate that accounts for several factors. The pseudorange is determined by measuring the time it takes for a signal to travel from the satellite to the receiver and then multiplying that time by the speed of light.
A rhumb line, or loxodrome, is a path on the surface of a sphere (such as Earth) that crosses all meridians at the same angle. In simpler terms, it's a curved line that maintains a constant compass bearing, allowing a navigator to steer a constant angle relative to true north. Rhumb lines are significant in navigation because they provide a means to plot a course that simplifies travel over long distances.
In crystallography, cleavage refers to the tendency of a crystalline material to split along specific planes of weakness in its structure. These planes are determined by the arrangement of atoms, ions, or molecules within the crystal lattice. Cleavage is an important property in mineralogy, as it can affect how minerals break and their overall appearance.
Nomad is a tool developed by HashiCorp that is designed for the orchestration of applications and services. It enables users to deploy and manage containerized and non-containerized applications seamlessly across a diverse range of environments, including on-premises and cloud infrastructures. Here are some key features of Nomad: 1. **Workload Orchestration**: Nomad can schedule and manage various types of workloads, including Docker containers, Java applications, batch jobs, and more, ensuring optimal resource utilization.
Ram Prakash Bambah is likely a name that refers to an individual, but there isn't widely available public information on a person by that name as of my last knowledge update in October 2023. It’s possible that he may not be a widely recognized public figure or that he could be notable within certain specific circles or fields that are not broadly documented.
Walter Whiteley is a prominent mathematician known for his contributions to the field of geometry, particularly in the area of algebraic geometry and its applications. He has worked on various topics, including the study of curves, surfaces, and their properties. Additionally, he has made significant contributions to mathematics education and has been involved in research related to mathematical thinking and pedagogy.
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