Words with Friends is a popular mobile word game developed by Zynga. It was released in 2009 and resembles the classic board game Scrabble. In Words with Friends, players take turns creating words on a game board using letter tiles, with each letter having a specific point value. The objective is to score the highest number of points by forming words strategically across the board.
Josef Finger, often referred to in the context of "Finger's method" or "Finger's formula," was a mathematician known for his work on number theory and combinatorics in the early 20th century. He is primarily recognized for his contributions to the field of combinatorial structures, particularly in the enumeration of certain types of combinatorial configurations.
Joseph Diez Gergonne was a notable French mathematician, born on January 18, 1796, and died on April 18, 1879. He is primarily known for his contributions to projective geometry and mathematical notation. One of his significant achievements was his work in the field of combinatorial geometry, where he developed various geometrical theories and perspectives.
Jules Violle is a historical figure known primarily for his contributions to the field of astronomy and photography. The name "Jules Violle" is most commonly associated with a French physicist, born in 1841, who made significant advancements in the development of photometry and the measurement of light in astronomical observations. He is particularly noted for his work on the Violle photometer, an instrument used to measure the intensity of light from celestial bodies.
Kenneth Appel was an American mathematician who is best known for his work in the field of combinatorial mathematics and computer science. He gained significant recognition for being one of the first mathematicians to use a computer to prove a theorem. This notable achievement was his involvement in the proof of the Four Color Theorem in 1976, which states that any map can be colored with no more than four colors in such a way that no adjacent regions have the same color.
Knot invariants are properties or quantities associated with a knot that remain unchanged under certain transformations, such as knot deformation (rearranging the knot without cutting it). Knot invariants are essential in the study of knot theory, a branch of topology that explores the mathematical properties of knots and their classifications. There are several types of knot invariants, each providing different insights into the structure and characteristics of knots.
TOPSIS stands for Technique for Order Preference by Similarity to Ideal Solution. It is a multi-criteria decision-making method that helps decision-makers evaluate and prioritize alternatives based on multiple conflicting criteria. The method was developed by Hwang and Yoon in 1981 and is widely used in various fields such as engineering, finance, and environmental management. ### Overview of the TOPSIS Method: 1. **Problem Definition**: Identify the decision-making problem and define the criteria and alternatives.
A snow pillow is a specialized instrument used to measure snow water equivalent (SWE) in snowpack. It typically consists of a large, inflatable or rigid reservoir filled with water, placed on the ground beneath the snowpack. As snow accumulates on top of the pillow, the weight of the snow compresses the pillow, causing water to be displaced into a connected measuring system.
Quantum optimization algorithms are computational techniques that leverage the principles of quantum mechanics to solve optimization problems more efficiently than classical algorithms. These algorithms aim to find the best solution from a set of possible solutions by exploiting quantum phenomena such as superposition, entanglement, and quantum interference. ### Key Features of Quantum Optimization Algorithms 1. **Superposition**: Quantum bits (qubits) can exist in multiple states simultaneously, allowing quantum algorithms to evaluate multiple solutions to an optimization problem at once.
Quantum sort refers to algorithms and techniques that utilize quantum computing principles to perform sorting operations more efficiently than classical sorting algorithms. In classical computing, sorting algorithms like QuickSort, MergeSort, and BubbleSort are commonly used, with varying time complexities typically ranging from O(n log n) to O(n²). Quantum computers, which leverage quantum bits (qubits) and phenomena such as superposition and entanglement, can offer speed-ups for certain computational tasks, including sorting.
The lifting scheme is a technique used in the field of signal processing and wavelet analysis for constructing discrete wavelet transforms (DWT). It is particularly valued for its simplicity and efficiency in both implementation and computation. Introduced by Wim Sweldens in the 1990s, the lifting scheme provides a way to build wavelet transforms through a sequence of simple linear transformations rather than through convolutions.
Legal case management refers to the process of managing and organizing various aspects of legal cases within a law firm or legal department. This encompasses a wide range of activities and tools designed to improve efficiency, organization, and communication related to legal cases. Key components of legal case management include: 1. **Case Organization**: Structuring and maintaining case files, documents, and evidence in an orderly manner, allowing for easy retrieval and reference.
Raymond Paley is likely a reference to a specific individual, but there may be some confusion because the name is more commonly associated with the "Paley-Wiener theorem" or "Paley's inequalities," which are concepts in the field of mathematics, particularly in harmonic analysis and functional analysis.
As of my last knowledge update in October 2021, specific statistics for the Liberty Flames basketball team's leaders in various categories can vary from season to season.
In 2018, several asteroids made close approaches to Earth. Here's a brief summary of some notable ones: 1. **2018 BX** - This asteroid made its closest approach on January 19, 2018, passing at a distance of about 173,000 kilometers from Earth. 2. **2018 CA** - Approached on February 1, 2018, at a distance of roughly 63,000 kilometers.
The list of cancelled LEGO media includes various projects that were planned but ultimately not produced or released. This can encompass a variety of formats, including movies, television shows, video games, and other media related to the LEGO brand. Some notable examples may include: 1. **LEGO Movies and Specials**: Occasionally, planned LEGO films or animated specials may be announced but later shelved due to various reasons, including creative differences or changes in corporate direction.
Cyprus is divided into several districts, each containing various cities, towns, and villages.
The Jupiter trojans are a subset of asteroids that share Jupiter's orbit around the Sun, specifically positioned at stable Lagrange points, L4 and L5. The Greek camp refers to the L4 group, which is associated with characters from the Trojan War. The complete list of Jupiter trojans in the Greek camp (from 1 to 100,000) is extensive.
There are numerous awards and honors given in the field of mechanical engineering to recognize outstanding contributions, innovations, and achievements. Here’s a list of some prominent mechanical engineering awards: 1. **ASME Awards (American Society of Mechanical Engineers)**: - Gold Medal - Robert H. Thurston Lecture Award - Medal of Honor - Swanson Medal - Charles W. Wood Award - Richard H. Kaufmann Award 2.
The list of minor planets from 226001 to 227000 includes a range of numbered asteroids that have been identified and cataloged by the Minor Planet Center. These asteroids typically vary in size, shape, and orbital characteristics. Specific details about each minor planet, including their names, discovery dates, physical properties, and orbits, can be found in databases and catalogs maintained by organizations such as the International Astronomical Union (IAU) or the Minor Planet Center.

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