Weak measurement is a concept in quantum mechanics that allows for the extraction of information about a quantum system without significantly disturbing it. This approach contrasts with traditional (or "strong") measurements, which typically collapse the quantum state of the system into one of its eigenstates and irreversibly alter its properties. In a weak measurement, the interaction between the measuring device and the quantum system is intentionally kept minimal, leading to only a slight disturbance of the system's state.
Bose-Einstein condensation (BEC) of polaritons refers to the phenomenon where a dilute gas of polaritons, which are hybrid quasi-particles that arise from the coupling of photons with excitons (bound electron-hole pairs in a semiconductor), can occupy the same quantum state and exhibit collective behaviors at very low temperatures.
Bose-Einstein condensation (BEC) of quasiparticles refers to a phenomenon where particles known as quasiparticles, which can emerge in certain condensed matter systems, occupy the same quantum state at low temperatures, leading to macroscopic quantum phenomena. Quasiparticles are not fundamental particles but instead are collective excitations that arise from the interactions between many particles in a medium.
The number 1000 is an integer that follows 999 and precedes 1001. It is a three-digit number in the decimal system and can also be expressed in various ways: 1. It can be represented in Roman numerals as "M". 2. In scientific notation, it is written as \( 1 \times 10^3 \). 3. In binary, it is represented as "1111101000".
The term "Quaternary Caribbean" generally refers to geological and ecological studies of the Caribbean region during the Quaternary period, which spans from about 2.6 million years ago to the present. This period is characterized by significant climatic changes, including glacial and interglacial cycles, and it has had a profound impact on the geology, biodiversity, and human history of the Caribbean islands.
Density is a physical property of matter that describes the mass of an object relative to its volume. It is commonly defined as the mass of an object divided by its volume, and is usually expressed in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).
"Inrunner" typically refers to a type of electric motor design, particularly in the context of RC (remote control) vehicles, drones, and other types of hobby applications. Inrunner motors have the rotor (the part that spins) located inside the stator (the stationary part), hence the name "inrunner.
Radiation proctitis is an inflammation of the rectum that occurs as a result of radiation therapy, typically used to treat cancers located in the pelvis, such as prostate, cervical, or rectal cancer. The condition can develop shortly after treatment (acute radiation proctitis) or may appear months or years later (chronic radiation proctitis).
An "outrunner" typically refers to a type of electric motor design, commonly used in applications like robotics, drones, and RC vehicles. Outrunner motors are characterized by their rotor being the outer part of the motor, while the stator is located inside. This design allows outrunners to generate a high torque at low speeds, making them efficient for applications requiring good power-to-weight ratios and high efficiency.
Jakks Pacific, Inc. is a global toy company known for designing, manufacturing, and marketing a wide range of toys, games, and consumer products. Founded in 1995 and headquartered in Malibu, California, the company has produced products across various categories, including action figures, dolls, role-play items, electronic toys, and outdoor toys. They often create toys based on popular licensed properties, including characters from movies, television shows, video games, and other popular media.
Caldwell's view could refer to various perspectives or theories depending on the context, as "Caldwell" could point to different individuals or works in fields such as sociology, psychology, or other disciplines.
An X-ray tube is a specialized device used to produce X-rays, which are a form of electromagnetic radiation. It is a key component of X-ray machines, commonly utilized in medical imaging, industrial applications, and scientific research. ### Components of an X-ray Tube: 1. **Cathode:** This part consists of a filament (a heated wire) and a focusing cup. The filament, when heated, emits electrons through thermionic emission.
TestU01 is a software library designed for the empirical testing of random number generators (RNGs). It was developed by Pierre L'Ecuyer and his collaborators to provide a suite of statistical tests specifically for assessing the quality of RNGs. The library includes a wide range of statistical tests, such as: - Chi-squared tests - Kolmogorov-Smirnov tests - Gap tests - Runs tests, and many others.
The Rvachev function, also known as the Rvachev test function, is a mathematical function often used in optimization and benchmarking for algorithms, particularly in the fields of global optimization and numerical analysis. It is known for having multiple local minima, which makes it a challenging function for optimization techniques.
Real-time simulation refers to the process of simulating systems or processes in a way that the simulation runs at the same pace as the real-world counterpart. This means that the simulation responds to inputs and changes in the environment instantaneously or within a specific, allowable delay. The goal is to achieve a high level of accuracy and responsiveness that mirrors real-life scenarios as closely as possible.
George Salmon is a name associated with notable figures in different fields, but one of the most prominent is George Salmon (1819–1904), an Irish mathematician and theologian known for his work in algebra and geometry. He is particularly recognized for his contributions to the theory of surfaces and geometry, as well as for his role in the establishment of mathematical education in Ireland.
Élie Metchnikoff, also known as Elie Metchnikoff, was a Russian zoologist and microbiologist born on May 15, 1845, and he died on July 30, 1916. He is best known for his pioneering work in the field of immunology. Metchnikoff is often credited with the discovery of phagocytosis, a process where certain cells, known as phagocytes, engulf and digest pathogens and cellular debris.
Function approximation refers to the process of representing a complex function with a simpler or more manageable function, often using a mathematical model. This concept is widely used in various fields such as statistics, machine learning, numerical analysis, and control theory. The goal of function approximation is to find an approximate representation of a target function based on available data or in scenarios where an exact representation is infeasible.
Robust regression refers to a set of statistical techniques designed to provide reliable parameter estimates in the presence of outliers or violations of traditional assumptions of regression analysis. Unlike ordinary least squares (OLS) regression, which can be significantly influenced by extreme values in the dataset, robust regression aims to produce more reliable estimates by minimizing the influence of these outliers.
Regression diagnostics refers to a set of techniques used to assess the validity of a regression model, ensure that the assumptions of the regression analysis are met, and identify potential issues that might affect the model's performance. These diagnostics help researchers and analysts evaluate the quality of their model and its predictions by checking various aspects of the model fit and residuals.

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