Complex cobordism is a concept from algebraic topology, a branch of mathematics that studies topological spaces with the methods of abstract algebra. Specifically, complex cobordism is concerned with the relationships between different manifolds (smooth, differentiable structures) via a kind of equivalence that is defined through the notion of cobordism.
Computer simulation is a technique used to model the behavior of real-world systems or processes through the creation of a computerized representation. This involves using algorithms and mathematical models to simulate the interactions and dynamics of various components within a system. Key aspects of computer simulation include: 1. **Modeling**: A model is created to represent the system being studied. This can involve mathematical equations, logical frameworks, or graphical representations of the system's components and their relationships.
Computer arithmetic algorithms are techniques and methods used to perform mathematical operations on numbers, particularly in the context of digital computers. These algorithms are essential for implementing basic arithmetic operations such as addition, subtraction, multiplication, division, and more complex functions like exponentiation and logarithms. Given that computers work with a finite representation of numbers (like integers or floating-point values), computer arithmetic also involves handling issues related to precision, rounding, overflow, and underflow.
Computer museums are specialized institutions dedicated to preserving, exhibiting, and educating the public about the history and evolution of computers and related technologies. These museums typically showcase a variety of artifacts, including vintage computers, software, peripherals, and other technological innovations that have contributed to the development of computing. The goals of computer museums often include: 1. **Preservation**: Safeguarding historical computers and technology to ensure they remain available for future generations. This includes maintaining functioning hardware and software.
A computer scientist is a professional who specializes in the study of computer science, which is the discipline that deals with the theory, development, and application of computer systems and software. Their work can encompass a wide range of areas within computing, including but not limited to: 1. **Algorithms and Data Structures**: Understanding how to efficiently process, store, and retrieve data. 2. **Software Development**: Designing, coding, and maintaining software applications.
David Lary is a researcher and professor known for his work in fields such as atmospheric science, remote sensing, and data-driven approaches to environmental monitoring. He has been involved in various projects related to climate change, air quality, and the utilization of advanced technologies like machine learning for environmental analysis. His contributions include developing methods and tools that leverage big data and satellite observations to better understand and address environmental issues.
In mathematics, particularly in the fields of topology and algebraic geometry, the term **configuration space** refers to the space of all possible configurations of a given number of distinct points (or objects) in a certain space. The concept is particularly useful in areas such as robotics, physics, and combinatorics. ### Basic Definition 1.
Constructivism in mathematics is a philosophy or approach that emphasizes the need for mathematical objects to be constructed explicitly rather than merely existing as abstract entities that may or may not be realizable. This viewpoint is opposed to classical mathematics, where existence proofs are often sufficient to establish the existence of a mathematical object, even if no specific example or construction is provided.
Gian-Carlo Rota (1932–1999) was an influential Italian-American mathematician and philosopher known for his contributions to various fields, including combinatorics, mathematics education, and the philosophy of mathematics. He made significant advancements in areas like geometric probability, functional analysis, and the theory of polynomials. Rota was also notable for his work on the theory of binomial coefficients and his exploration of the connections between combinatorics and other branches of mathematics.
Gilbert Harman is a prominent philosopher known for his work in the fields of philosophy of mind, moral philosophy, and epistemology. He is particularly recognized for his research on the nature of moral judgments, the relationship between moral and non-moral reasoning, and the concepts of truth and reasoning in ethics. Harman has also made contributions to discussions about the nature of meaning and language. Throughout his career, he has published numerous articles and books, influencing both philosophical theory and applied ethics.

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