The term "stretching field" can refer to a few different concepts depending on the context in which it's used. However, it isn't a standard term across major scientific or technical disciplines. Here are a few interpretations from different fields that might relate to your query: 1. **Physics**: In the context of general relativity and cosmology, a "stretching field" could refer to the gravitational fields that cause the expansion of space itself.
Wigner's surmise refers to a statistical conjecture related to the eigenvalues of random matrices, particularly in the context of quantum mechanics and nuclear physics. It was proposed by the physicist Eugene Wigner in the mid-20th century as a way to describe the distribution of energy levels in complex quantum systems, especially in heavy nuclei.
Poker probability refers to the mathematical calculations and odds involved in making decisions in various types of poker games. Understanding these probabilities can help players make more informed choices about betting, calling, raising, or folding based on the likelihood of winning a hand. Here are some key concepts related to poker probability: 1. **Hand probabilities**: The likelihood of being dealt specific hands.
The Gambler's Fallacy is a cognitive bias that occurs when individuals believe that past independent events affect the probabilities of future independent events. It is often phrased as the misconception that "if something happens more frequently than normal during a given period, it will happen less frequently in the future," or vice versa.
The Kelly criterion is a mathematical formula used to determine the optimal size of a series of bets in order to maximize the logarithm of wealth over time. It was developed by John L. Kelly Jr. in 1956 and is primarily applied in gambling and investment scenarios where the outcome probabilities are known.
A neural network is a computational model inspired by the way biological neural networks in the human brain process information. It consists of interconnected groups of artificial neurons (also called nodes) that work together to process data and recognize patterns. Neural networks are a key component of machine learning and deep learning technologies.
Inverse Distance Weighting (IDW) is a geostatistical interpolation method used to estimate unknown values at specific locations based on the values of known points surrounding them. It operates on the principle that points that are closer to the target location have a greater influence on the interpolated value than points that are farther away.
Pedometric mapping is the process of creating maps that represent the distribution of soil properties and characteristics at various scales, typically using statistical and geographic information system (GIS) techniques. "Pedometry" refers to the science of soil measurement and modeling, while mapping involves visualizing the spatial distribution of soil data. The goals of pedometric mapping include: 1. **Soil Characterization**: Understanding and mapping the physical, chemical, and biological properties of soils.
The Lincoln index, also known as the Lincoln-Petersen index or capture-recapture method, is a statistical tool used in ecology to estimate the size of a wildlife population. It is especially useful for estimating populations of mobile organisms. The method involves two main steps: 1. **Capture and Marking**: A sample of individuals from the population is captured, marked (or tagged), and then released back into the population. The number of individuals captured and marked in this first round is recorded.
Evidence-based medicine (EBM) is an approach to medical practice that emphasizes the use of the best available research evidence to make decisions about the care of individual patients. It integrates clinical expertise, patient values, and the best available evidence from systematic research. The key components of EBM include: 1. **Best Available Evidence**: This refers to the most current and relevant scientific research, often derived from well-designed clinical trials, systematic reviews, and meta-analyses.
The term "design effect" typically refers to the impact of a study's design on its statistical properties, particularly in the context of complex surveys. It is often used in the field of statistics and research methodology to describe how certain sampling designs can affect the variance of estimates compared to simple random sampling.
Generation R, or Generation Resilient, is a term often used to describe people born from the mid-1990s to the early 2010s. This generation is characterized by a unique set of experiences and traits, shaped significantly by the rapid advancement of technology, increased access to information, and a dynamic global landscape.
Length time bias is a phenomenon that can occur in the evaluation of medical screening methods or tests, particularly in the context of cancer screening. It occurs when the screening process disproportionately identifies slower-growing, less aggressive forms of a disease compared to more aggressive forms that may present differently. This can give a misleading impression of the effectiveness of the screening program and the overall prognosis of patients whose diseases were detected through screening.
A multiple of the median refers to a value that is obtained by multiplying the median of a dataset by a certain factor or integer. The **median** is the middle value of a sorted dataset, and if the dataset has an even number of observations, the median is the average of the two middle values. For example, if the median of a dataset is 10, then: - A multiple of the median for factor 2 would be \(2 \times 10 = 20\).
Passing-Bablok regression is a non-parametric statistical method used to assess the agreement between two different measurement methods or instruments. It is particularly useful in situations where the data may not meet the assumptions of normality or homoscedasticity required by traditional linear regression methods.
The Risk Adjusted Mortality Rate (RAMR) is a statistical measure used to assess and compare the mortality rates across different populations or patient groups while taking into account the underlying health status and risk factors of those populations. It aims to provide a more accurate representation of the quality of care by controlling for variables that could affect mortality, such as age, sex, pre-existing health conditions, and other socio-economic factors. **Key points about RAMR:** 1.
A **risk factor** is any characteristic, condition, or behavior that increases the likelihood of developing a disease, injury, or other negative health outcome. Risk factors can be biological, environmental, or lifestyle-related, and they can influence individual and population health in various ways. For example, in the context of cardiovascular disease, common risk factors include: - **Biological risk factors**: Age, gender, family history of heart disease, and genetics.
The therapeutic effect refers to the beneficial or positive outcomes achieved through medical treatment or intervention, which help alleviate symptoms, cure diseases, or improve health conditions. This effect can be observed in various forms, depending on the treatment used, such as medication, therapy, surgery, or lifestyle changes. Key points about the therapeutic effect include: 1. **Purpose**: It aims to restore health, enhance well-being, or manage symptoms of a medical condition.
The ball and beam system is a classic problem in control theory and mechanical engineering. It typically consists of a horizontal beam (which may tilt) and a ball that can roll along it. The main objectives in this system usually involve controlling the position of the ball along the beam or maintaining it at a desired position, often by changing the angle of the beam. ### Key Components: 1. **Beam**: A straight structure that can pivot around a fixed point, allowing it to tilt at various angles.
The double inverted pendulum is a well-known example in dynamics and control theory, often used to illustrate concepts in robotics, control systems, and physics. It consists of two pendulums attached end-to-end, with both pendulums oriented upward (inverted). Here’s a breakdown of its components and significance: ### Components 1. **First Pendulum**: This pendulum is attached to a fixed point, and its other end is connected to the second pendulum.

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