Classical gravity and quantum gravity are two concepts that relate to our understanding of gravitational interactions in the framework of physics, but they operate within different theoretical frameworks and contexts.
Clifford algebras are a type of associative algebra that arise naturally in various areas of mathematics and physics, particularly in the study of geometric transformations and spinors. The classification of Clifford algebras is typically done based on the dimension of the underlying vector space and the signature of the quadratic form used to define them.
The class number problem is a central question in algebraic number theory that relates to the properties of the ideal class group of a number field, specifically its class number. The class number is an important invariant that measures the failure of unique factorization in the ring of integers of a number field.
A cliffed coast, also known as a cliff coast or cliff shoreline, refers to a type of coastal landscape where steep geological formations, such as cliffs or escarpments, rise sharply from the water. These cliffs are typically formed through processes such as erosion, weathering, and tectonic activity, which result in the removal of softer material, leaving behind harder rock formations that create the dramatic sheer drop to the sea.
Clifford Taubes is an American mathematician known for his work in differential geometry, particularly in the areas of gauge theory and the study of 3-manifolds. He has made significant contributions to the understanding of Einstein's equations, low-dimensional topology, and the geometry of manifolds. Taubes is also known for developing a theory of geometric structures on manifolds and for his work related to the Seiberg-Witten invariants.
A closed-loop controller is a type of control system that uses feedback to adjust its output based on the difference between a desired setpoint and the actual output. This feedback mechanism allows the system to automatically correct any deviations from the desired performance or target values. ### Key Features of Closed-Loop Controllers: 1. **Feedback**: They continuously monitor the output of the system and feed this information back to the controller. This is essential for the system to make real-time adjustments.
In topology, a **closed set** is a fundamental concept related to the structure of a topological space. A subset \( C \) of a topological space \( X \) is called closed if it contains all its limit points. Here are some important properties and characteristics of closed sets: 1. **Complement**: A set is closed if its complement (with respect to the whole space \( X \)) is open.
A closed system is a concept from thermodynamics and systems theory that refers to a physical system that does not exchange matter with its surroundings but can exchange energy. In a closed system, energy can enter or exit the system, but the total mass remains constant because there is no flow of matter across the system's boundaries. ### Key Characteristics of a Closed System: 1. **No Mass Transfer**: There is no exchange of matter with the environment.
CNP-300 refers to a specific therapeutic compound or drug candidate, but as of my last knowledge update in October 2023, detailed information about CNP-300 may be limited or not widely recognized in public databases. In general, drug candidates often have a unique designation like CNP-300 which could indicate its sequence in a series of compounds being developed by a specific company or research group. The context in which CNP-300 is mentioned—such as its therapeutic area (e.
Gerald Feinberg (1933–2014) was an American theoretical physicist, known for his work in various areas of particle physics and astrophysics. He is particularly famous for his contributions to the concept of "tachyons," hypothetical particles that travel faster than light, and his research on the implications of such particles in the context of relativity and quantum mechanics. Feinberg was also involved in discussions about the foundations of quantum mechanics and the philosophical implications of modern physics.
A coherent state is a specific type of quantum state of a harmonic oscillator that exhibits properties reminiscent of classical oscillators. In quantum mechanics, a coherent state is often associated with the eigenstates of the annihilation operator in the context of quantum optics and quantum mechanics of harmonic oscillators. Key characteristics of coherent states include: 1. **Minimum Uncertainty**: Coherent states minimize the uncertainty relation between position and momentum; they achieve the Heisenberg uncertainty principle's lower bound.
Cohomology with compact support is a concept in algebraic topology and differential geometry that generalizes the notion of cohomology by focusing on those cochains that vanish outside of compact sets. This has important implications for the study of properties of spaces when dealing with functions or forms that are localized in compact subsets.
Collaborative mapping is a process that involves multiple individuals or groups working together to create, share, and modify maps and spatial data. This approach harnesses the collective knowledge, expertise, and perspectives of participants, allowing for richer and more accurate representations of geographic information.
A color–color diagram is a graphical representation used in astronomy to analyze the colors of celestial objects, particularly stars and galaxies. It plots the difference in magnitude between two different wavelength bands (or color indices) on the axes of a two-dimensional graph. This allows astronomers to examine the properties and classifications of astronomical objects based on their colors.
Colored dissolved organic matter (CDOM) refers to a subset of dissolved organic matter in water that is colored, typically due to the presence of various organic compounds, including humic and fulvic acids. CDOM is characterized by its ability to absorb and scatter light, giving it a distinctive color, which can vary from yellow to brown, depending on its concentration and the specific composition of the organic matter.
The Committee of Presidents of Statistical Societies (CPSS) is an organization that brings together the leaders of various statistical societies and organizations. Its purpose is to promote the advancement of statistical science, facilitate communication and collaboration among statistical societies, and address common issues faced by these organizations. The CPSS often works on initiatives related to the development of statistical education, the promotion of statistical practice, and the improvement of statistical methodologies.
Qian Linzhao (also known as Qian Lintao) is a historical figure from China, primarily recognized as a poet and scholar during the Ming dynasty. He is celebrated for his contributions to Chinese literature and his unique poetic style, which often reflected his personal experiences and philosophical thoughts. His works are characterized by a deep appreciation of nature, emotion, and personal integrity.
The term "commutator collecting process" isn't a standard phrase in mainstream disciplines, so it might refer to specific contexts or fields, like physics, mathematics, or possibly even a particular area of study within abstract algebra or quantum mechanics. In quantum mechanics, a "commutator" refers to an operator that measures the extent to which two observables fail to commute (i.e., the extent to which the order of operations matters).
The Comparative Tracking Index (CTI) is a metric used primarily in the field of finance and investment to assess the degree to which an investment portfolio aligns with a benchmark or index against which it is compared. This index helps investors understand how closely their portfolio is tracking the performance of the selected benchmark over time. The CTI can be particularly useful for portfolio managers and analysts who want to evaluate the effectiveness of their investment strategies relative to the market or specific indices.

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