Strongly NP-complete problems are a subset of NP-complete problems that remain NP-complete even when the numerical values in the input are bounded by a polynomial in the size of the input. This contrasts with "weakly NP-complete" problems, which can be solved in polynomial time when the numbers involved are small (i.e., their magnitude is polynomially bounded) but may be hard in the general case where numerical values can be arbitrary.
The Generalized Assignment Problem (GAP) is an optimization problem that involves assigning a set of tasks to a set of agents (or resources) in a way that minimizes costs or maximizes efficiency while respecting certain constraints. Unlike the classical assignment problem, where each task is assigned to exactly one agent, the Generalized Assignment Problem allows each agent to handle multiple tasks, but with additional limitations.
Slitherlink is a logic-based puzzle that consists of a grid of dots. The objective of the puzzle is to create a single, continuous loop that connects the dots and satisfies certain numerical clues given within the grid. The loop can only go horizontally or vertically between dots and must not cross itself or branch off. Here are some key elements of Slitherlink: 1. **Grid Structure**: The puzzle is typically laid out on a rectangular or square grid defined by dots.
A Rectilinear Steiner Tree (RST) is a concept used in network design and VLSI (Very Large Scale Integration) design to find the shortest network that interconnects a given set of points using only horizontal and vertical segments. The tree allows for additional points, called Steiner points, to be introduced to minimize the overall path length of the tree.
Blattner's conjecture is a conjecture in the field of algebraic topology and homotopy theory, specifically concerning the structure of topological groups and their associated homotopy groups. Proposed by the mathematician Robert Blattner, the conjecture suggests a connection between certain types of topological groups and the generation of their homotopy groups.
Mahler's 3/2 problem is a question in the field of number theory, specifically related to the properties of real numbers and their representations. Named after the mathematician Kurt Mahler, the problem concerns the transcendental numbers and the approximation of real numbers by rational numbers. The essence of the problem deals with whether there exist sufficiently "nice" sequences of rational numbers that can approximate certain real algebraic numbers well, particularly those that satisfy specific linear forms.
The term "Egyptian statisticians" can refer to statistics professionals, researchers, or academics from Egypt who work in the field of statistics, data analysis, or related disciplines. These individuals may be involved in various areas, including government statistics, academic research, or private sector data analysis. Egypt has a rich history of contributions to mathematics and statistics, and modern Egyptian statisticians often work in fields such as economics, public health, social sciences, and environmental studies.
Gaṇeśa Daivajna is a term that refers to a specific figure in Hindu tradition, particularly associated with astrology and astrology-related practices. The term "Daivajna" translates to "divine knowledge" or "one knowledgeable in astrology." Gaṇeśa is the name of the elephant-headed deity, revered as the god of beginnings, wisdom, and obstacle removal.
The Ramanujan Institute for Advanced Study in Mathematics, located in Chennai, India, is a prominent research center dedicated to the field of mathematics. Named after the famed Indian mathematician Srinivasa Ramanujan, the institute aims to promote advanced research in various areas of mathematics and foster an environment conducive to mathematical inquiry. Founded in 1966, the institute is often associated with the Institute of Mathematical Sciences (IMSc) and focuses on both pure and applied mathematics.
Kokichi Sugihara is a Japanese mathematician and psychologist known for his work in the field of visual perception, particularly in relation to optical illusions and cognitive processes. One of his most notable contributions is the development of the "Sugihara Penrose Triangle" and various other optical illusions that challenge our understanding of dimensions and shapes. He has also explored how humans perceive geometric structures and the mental processes involved in interpreting visual information.
Tatsujiro Shimizu is a prominent figure in the field of nuclear energy. He is known for his work as a researcher and policy analyst, particularly in the context of nuclear safety, energy policy, and the implications of nuclear technology on society. Shimizu has likely contributed to discussions and analyses regarding nuclear power's role in addressing energy needs, as well as its environmental and safety challenges.
The Rocky Flats Truth Force is a group that was formed to address concerns surrounding the Rocky Flats Plant, which was a nuclear weapons production facility located near Denver, Colorado. The plant operated from the 1950s until it was closed in the 1990s, and it was a site of nuclear weapons production, particularly for plutonium triggers for nuclear bombs.
Jana Zaumseil is a prominent figure in the field of computer science, particularly known for her work in programming languages, type systems, and educational technology. She has contributed to research on software development and tools that support learning and understanding of programming concepts.
Aristid von Grosse is a fictional character and the main protagonist in a series of novels written by the author H. P. Lovecraft. He is depicted as a scholar and a seeker of knowledge, often delving into the realms of the unknown, the arcane, and the supernatural. His character embodies the themes of cosmic horror that Lovecraft is known for, exploring the insignificance of humanity in the face of ancient and powerful forces.
FSUE Atomflot, or Federal State Unitary Enterprise Atomflot, is a Russian state-owned enterprise that operates the country's fleet of nuclear-powered icebreakers. It is part of the Rosatom State Atomic Energy Corporation, which oversees Russia's nuclear activities, including nuclear power generation and construction, as well as the development and management of nuclear icebreakers.
The GBAR experiment, which stands for "Gravitational Behaviour of Antihydrogen at Rest," is an experiment designed to investigate the behavior of antimatter, specifically antihydrogen, in the presence of gravity. It aims to test fundamental symmetries in physics, including the equivalence principle, which states that gravitational mass and inertial mass are equivalent for all forms of matter and antimatter.
Mark Horstemeyer may refer to a specific individual, but without additional context, it's difficult to provide precise information. The name is associated with various professionals in different fields, including academia, engineering, and research.
Robert C. Prim is not widely recognized in popular culture, science, or history, so it's possible you might be referring to a specific individual within a niche context or a regional reference. If you have more context or details regarding the person or field in which they are involved, I can provide more focused information.
"Annus mirabilis," which translates from Latin as "miraculous year," typically refers to a year marked by remarkable events or significant achievements. The term is most famously associated with the year 1666, which is often considered an extraordinary year in English literature and science, particularly due to the works of notable figures like Isaac Newton and the events surrounding the Great Fire of London.

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