The Homotopy Excision Theorem is an important result in algebraic topology that deals with the behavior of homotopy groups under certain conditions related to pairs of spaces. In essence, it allows us to conclude that if two spaces are homotopy equivalent, then certain derived spaces (like certain subspaces and their complements) retain these equivalences within homotopy categories.
In geometry, scaling refers to the process of resizing an object by a certain factor. This involves changing the dimensions of the object uniformly (maintaining the shape) or non-uniformly (changing shape) while preserving the proportions of the object. The factor by which the object is scaled is called the scale factor. When scaling is uniform, every linear dimension of the object (length, width, height) is multiplied by the same scale factor.
Mini-Z refers to a brand of small-scale radio-controlled (RC) cars produced by the Japanese company Kyosho. These cars are typically 1/27th scale and are known for their performance, detail, and advanced technology. Mini-Z cars are popular among hobbyists and are often used for racing on small tracks, both indoor and outdoor.
Transport terminology refers to the specialized vocabulary and terms used within the field of transportation and logistics. It encompasses a wide range of concepts, practices, and modes of transport, addressing everything from the movement of goods and passengers to the infrastructure supporting these systems. Here are some key areas within transport terminology: 1. **Modes of Transport**: - **Road Transport**: Vehicles such as cars, trucks, and buses that travel on roads.
Affirmation and negation are terms often used in logic, philosophy, and language to describe two contrasting ways of expressing propositions or statements. ### Affirmation - **Definition**: An affirmation is a positive statement that asserts something to be true. It confirms a proposition or expresses agreement with a particular idea or fact. - **Example**: "The sky is blue" is an affirmative statement because it affirms the truth of the proposition.
Units of measurement can vary significantly by region, particularly between the metric system and the imperial system. Here's a general overview: ### Metric System - **Used in**: Most countries around the world, including Europe, Asia, Africa, and Australia.
Diffuse interstellar bands (DIBs) are a set of absorption lines observed in the spectra of stars that are located behind interstellar dust clouds. These absorption features are seen in the ultraviolet, visible, and near-infrared portions of the electromagnetic spectrum. They are believed to arise from the presence of large, complex molecules or species that exist in the interstellar medium, though their precise nature has not yet been conclusively identified.
EPIC 204376071 is a star cataloged in the Kepler Input Catalog, and is particularly notable for being the host star of an exoplanet discovered by the Kepler space telescope. This star is located in the constellation Cygnus and is part of the Kepler field of view, which was monitored for transiting exoplanets.
A strangelet is a hypothetical type of exotic matter that is composed of strange quarks. In particle physics, quarks are elementary particles and fundamental constituents of matter. There are six flavors of quarks: up, down, charm, strange, top, and bottom. Normally, matter is made up of up and down quarks (e.g., protons and neutrons).
Lemoine's conjecture, also known as the "Lemoine's problem" or "Lemoine's hypothesis," is a statement in number theory that relates to the representation of numbers as sums of prime numbers. Specifically, it posits that every odd integer greater than 5 can be expressed as the sum of an odd prime and an even prime (which can only be 2).
Oppermann's conjecture, proposed by mathematician Frank Oppermann in 2012, is a conjecture about the existence of certain types of prime numbers known as "twin primes." Specifically, it suggests that for every positive integer \( n \), there exists a prime number \( p \) such that both \( p \) and \( p + n \) are primes.
Quantum tunneling is a quantum mechanical phenomenon where a particle transitions through a potential energy barrier that it classically should not be able to overcome due to insufficient energy. In the context of water, quantum tunneling can occur in various scenarios involving the behavior of water molecules, particularly in the formation and breaking of hydrogen bonds, as well as in the movement of protons within water.
A Josephson vortex is a topological defect that occurs in a type-II superconductor when two superconducting regions are separated by a thin insulating barrier, forming what is known as a Josephson junction. In this junction, when a magnetic field is applied, quantized magnetic flux lines known as "vortices" can penetrate the superconducting regions. In a Josephson junction, under certain conditions, the supercurrent can flow across the junction without the application of an external voltage.
Vortex shedding is a phenomenon that occurs when a fluid flows past a bluff (non-streamlined) body, resulting in the alternating formation and shedding of vortices from the body’s surfaces. This effect is often observed in situations where a fluid, such as air or water, flows around objects like cylinders, plates, and other shapes. When fluid flows past a bluff body, it creates regions of low pressure that lead to the formation of vortices.
Ramon Llull (c. 1232–1315) was a significant philosopher, logician, and missionary from the Mediterranean island of Mallorca, which was then part of the Kingdom of Majorca. He is often considered one of the earliest proponents of logic and a pioneer of computational systems.
Edme Mariotte (1620-1684) was a French physicist and priest known for his contributions to the fields of hydraulics, optics, and the study of gases. He is often credited with formulating Mariotte's Law, which states that the pressure of a gas is inversely proportional to its volume, provided the temperature remains constant. This law is a fundamental principle in the study of gases and is a key component of the ideal gas law.
A natural arch, also known as a natural bridge, is a geological formation where a rock formation has been eroded in such a way that a portion of it remains intact, creating an opening that resembles an arch. These structures are typically formed through the processes of erosion and weathering, primarily by the actions of water, wind, and ice over long periods of time. Natural arches are often found in sedimentary rock formations and can vary greatly in size and shape.
As of my last knowledge update in October 2021, there is no widely known figure or concept identified specifically as "Cristina Roccati." It is possible that Cristina Roccati could refer to a private individual or a lesser-known person not widely covered in media or literature.
"Discoveries" by Heikki A. Alikoski is a book that explores various themes, likely focusing on scientific, philosophical, or personal insights derived from observations and experiences. Heikki A. Alikoski is known for his efforts in interdisciplinary studies and his works often bridge the gap between different fields of knowledge.
The 1930s were a significant period in the development of computing, although the term "computer" at that time referred primarily to people who performed calculations. However, this decade also saw the emergence of some early mechanical and electromechanical devices that laid the groundwork for modern computing.

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 5. . 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.
  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