Stable homotopy theory is a field in algebraic topology that studies the properties of spaces and spectra that remain invariant under suspensions (or shifts). It arises from the observation that the homotopy groups of spheres, which are foundational objects in topology, exhibit a highly structured and rich behavior when examined in a stable context.
"The Hit Parade" is an album by Tak Matsumoto, a prominent Japanese guitarist and songwriter, best known as a member of the rock band B'z. Released in 2021, the album features a compilation of some of his most popular instrumental tracks and showcases his exceptional guitar skills. The music on "The Hit Parade" blends various genres, including rock, blues, and jazz, and highlights Matsumoto's unique style and musicality.
A Certified Consulting Meteorologist (CCM) is a professional designation awarded by the American Meteorological Society (AMS) to those meteorologists who have demonstrated a high level of competency and experience in the field of meteorological consulting. To obtain this certification, candidates must meet specific educational and professional criteria, including a strong foundation in meteorology or atmospheric sciences, significant work experience in meteorological consulting, and the successful completion of a rigorous examination.
"C'est si bon" is an album by the French singer and actress Eartha Kitt, released in 1959. The album features a collection of songs showcasing Kitt's unique vocal style and her ability to blend jazz, pop, and traditional French music. The title track, "C'est si bon," is particularly well-known and highlights her sultry and charismatic voice. The album includes various romantic and melodic songs, often characterized by lush arrangements.
The Center for Advanced Study in the Behavioral Sciences (CASBS) is a research institute located at Stanford University. It focuses on interdisciplinary research in the behavioral and social sciences. The CASBS fellows program typically invites scholars and practitioners from various fields to reside at the center for a period of time, where they can conduct research, collaborate with other fellows, and participate in seminars and discussions.
"Robot parts" refers to the various components and materials that are used to build and assemble robots. These parts can vary widely depending on the type of robot being constructed, its purpose, and the desired level of complexity. Here are some common categories of robot parts: 1. **Structural Components**: - **Frames**: The skeleton or body of the robot, usually made from materials like metal, plastic, or composite materials.
Social robots are robots designed to interact with humans and other robots in a socially acceptable manner. They often possess features that enable them to communicate, engage, and respond to social cues, making them capable of performing tasks in a way that mimics human-like interaction. These robots can be used in various settings, including homes, schools, hospitals, and public spaces.
"Pete Yorn Sings the Classics" is an album by American singer-songwriter Pete Yorn. Released in 2021, the album features Yorn's interpretations of various classic songs from different genres and eras. Known for his distinctive voice and style, Yorn brings a fresh perspective to these well-known tracks. The album showcases his talent for reimagining and paying homage to timeless music, making it appealing to both longtime fans and newcomers alike.
The Center for Dewey Studies is an academic center dedicated to the study and promotion of the philosophical and educational ideas of John Dewey, an influential American philosopher, psychologist, and educational reformer. Founded in 1963 and based at Southern Illinois University Carbondale, the center serves as a research hub for scholars interested in Dewey's work, particularly in areas such as pragmatism, education, and democracy.
A model robot typically refers to a miniature or scaled-down version of a robot, often used for educational, demonstrative, or prototype purposes. These robots can be physical models that are built to represent the functionality, design, or concepts behind larger robots, or they can be computer simulations that allow users to visualize and interact with robotic systems without the need for physical construction.
Finite differences is a numerical method used to approximate derivatives of functions. It involves the use of discrete data points to estimate rates of change, which is particularly useful in fields such as numerical analysis, computer science, and engineering. The basic idea behind finite differences is to replace the continuous derivative of a function with a discrete approximation.
String operations refer to the various methods and functions that can be performed on strings in programming and computer science. A string is a sequence of characters, and many programming languages provide built-in capabilities and libraries to manipulate these sequences. Common string operations include: 1. **Concatenation**: Joining two or more strings together to form a new string.
A **strong measure zero set** is a concept from measure theory, particularly in the context of Lebesgue measure on the real line (or in higher dimensions).
Structural induction is a mathematical and logical proof technique used primarily in computer science and mathematics to prove properties about recursively defined structures, such as trees, lists, or other data types. It is analogous to mathematical induction but is specifically tailored for objects that are constructed in a recursive manner.
The Strukturbericht designation is a systematic classification system used to identify and categorize crystal structures in the field of solid-state chemistry and materials science. Developed by H. C. M. de Wolff and his collaborators, it provides a way to describe the arrangement of atoms in a crystalline solid by using a letter (usually a capital letter) and a number to characterize the structure type. The system organizes structures based on their symmetry and the arrangement of atoms within the unit cell.
Finite Impulse Response (FIR) refers to a type of digital filter used in signal processing. The defining characteristic of FIR filters is that their impulse response— the output of the filter when presented with an impulse input— is finite in duration. This means that the filter responds to an input signal and then settles to zero after a certain number of discrete time steps. ### Key Characteristics of FIR Filters: 1. **Finite Duration**: The output only relies on a finite number of input samples.
The Subgraph Isomorphism Problem is a well-known problem in computer science and graph theory. It revolves around the challenge of determining whether a particular graph \( H \) (the "pattern" or "subgraph") is isomorphic to a subgraph of another graph \( G \). ### Definitions 1.
Suleyman's Eagle, also known as "Süleyman's Eagle" or "Suleiman's Eagle," refers to a historical and cultural reference often associated with Suleiman the Magnificent, the longest-reigning Sultan of the Ottoman Empire from 1520 to 1566. In the context of Ottoman history, the eagle symbolizes power, sovereignty, and dominance. The eagle as an emblem can be related to various military or royal insignias used during Suleiman's reign.
Sum coloring is a concept in graph theory that deals with assigning colors to the vertices of a graph under specific constraints focused on the sums of the colors used. While the precise definition can vary by context and application, the general idea involves the following components: 1. **Vertices and Colors**: In sum coloring, each vertex of a graph is assigned a color from a predefined set of colors, typically represented as integers.
The term "Summer Draft" can refer to different contexts depending on the subject matter. Here are a few possible interpretations: 1. **Sports:** - In some sports leagues, particularly in North America, a "summer draft" might refer to an off-season draft event where teams can select new players, typically from colleges or junior teams, in preparation for the upcoming season. This is more common in sports like basketball or hockey.

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