Resummation is a mathematical technique used primarily in the field of theoretical physics, especially in quantum field theory and statistical mechanics, to handle divergent series or to improve the convergence properties of a series of terms. It can be applied to various types of problems, including perturbation expansions, series expansions, and other contexts where traditional summation methods may fail to yield meaningful results. The basic idea is to use a new summation method or transformation to obtain a finite result from an otherwise divergent series.
In physics, particularly in quantum field theory and statistical mechanics, interactions among particles are often characterized by the types of terms in the Lagrangian or Hamiltonian that describe the system. A "quartic interaction" refers to a term in the theory that involves four fields or four particles interacting with each other simultaneously. Mathematically, a quartic interaction can take the form of a term in the Lagrangian that is proportional to the product of four fields.
M-Labs, or Measurement Labs, is an organization that focuses on internet measurement and performance testing. It is known for providing tools and services for users to measure their internet speed, performance, and quality. One of its most notable offerings is the Internet Health Test, which allows users to assess their internet connection's speed and reliability. M-Labs operates through partnerships with various organizations, including privacy advocates and internet service providers, to promote internet transparency and to study internet performance across different regions and services.
The Soler model, often referred to within various contexts, might pertain to specific frameworks, theories, or models in different fields such as economics, social sciences, or even specific business methodologies. Without further context, it's challenging to pinpoint exactly which Soler model you're referring to.
The Spin-Statistics Theorem is a fundamental principle in quantum field theory that governs the relationship between the intrinsic spin of particles and the type of statistics they obey. It provides a foundational explanation for why particles with integer spins (such as photons and W/Z bosons) are described by Bose-Einstein statistics, while particles with half-integer spins (such as electrons and quarks) are described by Fermi-Dirac statistics.
The Unruh effect is a prediction in quantum field theory that suggests an observer accelerating through a vacuum will perceive that vacuum as a warm bath of particles, or thermal radiation, while an inertial observer would see no particles at all. This phenomenon was first proposed by physicist William Unruh in 1976.
Virtual particles are a concept in quantum field theory that represent transient fluctuations in energy that occur in a vacuum. They are not "particles" in the traditional sense; instead, they are temporary manifestations of energy that arise during interactions between particles.
Wick's theorem is a fundamental result in quantum field theory and many-body physics that provides a systematic way to evaluate time-ordered products of creation and annihilation operators. It essentially allows one to express time-ordered products of operator products in terms of normal-ordered products and their vacuum expectation values.
W. Brian Arthur is a prominent economist known for his work in the fields of complexity economics, evolutionary economics, and the economics of technology and innovation. He is particularly recognized for his contributions to understanding how economies function in a non-linear, complex manner, differing from traditional economic theories that often assume equilibrium and rational behavior. Arthur is a professor at the Santa Fe Institute and has been influential in the study of how technology and innovation drive economic change.
The Finnish Operations Research Society (FORS) is a professional organization dedicated to promoting the field of operations research (OR) in Finland. Operations research is a discipline that uses advanced analytical methods to help make better decisions. The society aims to foster collaboration, research, and education among professionals and academics in the field of OR. FORS typically organizes conferences, workshops, and seminars, provides networking opportunities, and publishes research in operations research to enhance the understanding and application of OR techniques.
Georgia Perakis is a notable academic and professor known for her work in the field of operations research, particularly focusing on optimization, supply chain management, and analytics. She has contributed significantly to both theoretical and applied aspects of these areas. Perakis is associated with institutions such as the Massachusetts Institute of Technology (MIT). In addition to her research, she may also be involved in teaching and mentoring students in related disciplines.
The Italian Operations Research Society (Società Italiana di Ricerca Operativa, SIROR) is a professional organization dedicated to promoting the discipline of operations research (OR) in Italy. Founded in 1975, SIROR serves as a platform for researchers, practitioners, and academics interested in the methodologies and applications of operations research, which involves using advanced analytical methods to help make better decisions.
Ailsa Land is a small archipelago located off the southwestern coast of Scotland. It includes Ailsa Craig, which is the largest and most notable island in the group. Ailsa Craig is famous for its volcanic rock formations and is often associated with curling stones, as the granite found on the island is considered ideal for making curling rocks. The island is uninhabited and serves primarily as a nature reserve, attracting various seabird species.
Karen Aardal is a noted scholar and researcher in the field of political science, particularly known for her work on electoral systems, political representation, and voter behavior. She has contributed to various academic publications, exploring issues related to democracy and electoral processes.
Ulrike Leopold-Wildburger is an Austrian legal scholar who has made significant contributions to the fields of law and legal education. She is known for her work in European law, particularly in areas concerning comparative legal studies and legal theory. Leopold-Wildburger's research often focuses on the intersection of law and society, exploring how legal systems impact social dynamics.
"The Big Mo: How Momentum Builds from Momentum" is a book by author and entrepreneur, Jon Gordon. The book explores the concept of momentum in both personal and professional spheres, arguing that momentum is a powerful force that can significantly influence success and achievement. Gordon discusses how individuals and organizations can create and maintain positive momentum, emphasizing the importance of attitude, teamwork, and a clear vision.
The "Queuing Rule of Thumb" refers to a set of general guidelines or principles often used to estimate or analyze the performance of queuing systems. These rules help decision-makers in various fields, such as operations management, telecommunications, and customer service, to better understand how to optimize service processes, manage wait times, and improve customer satisfaction.
Resource allocation in computer systems refers to the process of distributing available resources—such as CPU time, memory, disk space, and network bandwidth—among various tasks, applications, or users in an efficient manner. This is a critical aspect of operating systems and computer architecture, as it directly impacts system performance, responsiveness, and overall efficiency. ### Key Aspects of Resource Allocation: 1. **Types of Resources**: - **CPU Time**: Allocation of processing power to different tasks.
A schedule is a plan or timetable that outlines when specific events, tasks, or activities will occur. It serves as a guide to help organize time effectively. Schedules can vary widely in complexity and purpose, including: 1. **Daily Schedule:** Typically includes appointments, tasks, and activities planned for a single day. It helps individuals manage their time effectively. 2. **Weekly/Monthly Schedule:** This type of schedule outlines tasks and commitments over a longer period, allowing for better planning and prioritization.
Stochastic scheduling is a concept in operations research and computer science that deals with scheduling problems in environments where there is uncertainty or randomness in the durations of tasks, arrival times, or other parameters. Unlike deterministic scheduling, where all parameters are known with certainty, stochastic scheduling incorporates variability and probabilistic models to make decisions that optimize certain performance measures, such as minimizing completion time, maximizing resource utilization, or achieving deadlines.

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