A **counter** in digital electronics is a sequential circuit that counts pulses or events. It typically consists of a series of flip-flops that can store binary values and generate a specific output based on the number of pulses received. Counters can be configured to count in various ways, including: 1. **Binary Counters**: Count in binary format. For example, a 3-bit binary counter can count from 0 (000) to 7 (111).
Dana Angluin is a prominent computer scientist known for her contributions to the fields of theoretical computer science and machine learning. She is particularly recognized for her work in the areas of algorithmic learning theory, automata theory, and formal languages. One of her notable contributions is the development of the Angluin’s algorithm, which is a method for inferring regular languages from queries and counterexamples.
Giant magnetoresistance (GMR) is a quantum mechanical effect observed in thin films made of alternating layers of ferromagnetic and non-magnetic materials. It manifests as a significant change in electrical resistance in response to an applied magnetic field. The phenomenon was first discovered in the 1980s by Albert Fert and Peter Grünberg, who were awarded the Nobel Prize in Physics in 2007 for their work on GMR.
Covariance and contravariance are concepts that primarily arise in the context of type theory, programming languages, and certain areas of mathematics, particularly when dealing with linear algebra and vector spaces. ### Covariance Covariance refers to a relationship where a change in one variable leads to a change in another variable in the same direction.
Cattle creep refers to a system designed to provide supplemental feed to young calves while allowing them to access it without allowing access to adult cattle. This system typically consists of a specially designed feeder or enclosure that young animals can enter, but adult animals cannot, allowing calves to receive extra nutrition, especially when pasture quality is poor or when they need to gain weight. Creep feeding can be particularly beneficial for maximizing growth rates in weaned calves or when preparing them for sale.
Cricket statisticians are professionals or enthusiasts who analyze and compile statistics related to the game of cricket. They focus on various aspects of the sport, including player performance, match outcomes, team rankings, historical data, and trends over time. Their work often involves collecting and interpreting a wide range of data, such as runs scored, wickets taken, batting and bowling averages, strike rates, and other metrics that help in evaluating players and teams.
The "criteria of truth" refers to the standards or principles used to evaluate the truthfulness or validity of a statement, belief, or proposition. Different philosophical traditions and disciplines may have varying criteria for what constitutes truth. Here are some common criteria: 1. **Correspondence Theory**: This theory posits that a statement is true if it corresponds to reality or facts. In other words, a proposition is true if it accurately describes the way things are in the world.
The term "quantum mind" refers to a theoretical framework that explores the potential role of quantum mechanics in explaining consciousness and cognitive processes. It suggests that quantum phenomena might play a critical role in how the mind operates, potentially offering insights into the nature of consciousness, perception, and decision-making.
Curium is a synthetic radioactive element with the chemical symbol Cm and atomic number 96. It was discovered in 1944 by chemists Albert Ghiorso, Glenn T. Seaborg, and Emilio Segrè while they were experimenting with plutonium in a laboratory at the University of California, Berkeley. The element is named after Marie Curie and her husband Pierre Curie, in honor of their contributions to the field of radioactivity.
Cygnus OB2 is a large and prominent star cluster located in the constellation Cygnus, about 4,500 light-years away from Earth. It is one of the richest and most massive associations of young, hot stars in our galaxy (the Milky Way) and is notable for its concentration of massive stars, many of which are O-type and B-type stars.
Daniel Sleator is an American author and educator known for his work in children's and young adult literature. He is particularly recognized for his suspenseful and engaging novels, many of which explore themes of mystery, adventure, and science fiction. Some of his notable works include "The House of Stairs" and the "Interstellar Pig." In addition to being an author, Sleator has also worked as a teacher and has taught creative writing.
Daniel Spielman is a prominent American computer scientist, known for his work in algorithms, theoretical computer science, and data compression. He is particularly recognized for his contributions to the development of modern techniques for the analysis and design of algorithms, including work on error-correcting codes, spectral graph theory, and mathematical optimization. Spielman has also been involved in research related to machine learning and has made significant contributions to the field through his academic work.
The American Invitational Mathematics Examination (AIME) is a mathematical examination designed for high school students in the United States. It is a part of the selection process for the prestigious USA Mathematical Olympiad (USAMO), which is aimed at identifying and encouraging outstanding young mathematicians. The AIME is typically administered after the American Mathematics Contest 10 (AMC 10) and the American Mathematics Contest 12 (AMC 12).
CRESTA refers to the "Catastrophe Risk Evaluation and Standardizing Target Accumulation" system, which is primarily used in the insurance and reinsurance industries. It is a standardized system for classifying and mapping natural catastrophe risks, helping insurers and reinsurers evaluate their exposure to various hazards like earthquakes, floods, and storms.
Credit risk refers to the possibility that a borrower or counterparty will fail to meet their obligations in accordance with agreed terms, which often results in a financial loss for the lender or investor. This risk is particularly relevant in the context of loans, bonds, and other financial instruments where the repayment of principal and interest depends on the creditworthiness of the borrower.
The Esscher principle is a concept in actuarial science and financial mathematics, particularly in the context of insurance and risk theory. Named after the Danish actuary Finn Esscher, the principle is used for determining the premium that should be charged for an insurance product or for valuing insurance liabilities. The Esscher principle involves adjusting the probability measure of the underlying risk model through a transformation called the Esscher transform.
Longevity risk refers to the potential financial risk that arises from individuals living longer than expected. This risk is particularly relevant in contexts such as pensions, insurance, and retirement planning. Here are some key points about longevity risk: 1. **Definition**: Longevity risk is the risk that people will outlive their financial resources due to an increase in life expectancy. This can impact both individuals and financial institutions.
The concept of **apartness** is related to the idea of distinguishing between elements in a mathematical structure. It is a general way to formalize the notion of two elements being "distinct" or "different" without necessarily operating under the traditional framework of a metric or topology. The concept originates from the field of constructive mathematics and has implications in various areas such as algebra and topology.
A heavy-tailed distribution is a type of probability distribution that has a tail, which is the part of the distribution that represents extreme values, that is significantly heavier or more significant than that of the exponential distribution. This means that it has a higher probability of producing values far from the mean compared to lighter-tailed distributions, such as the normal distribution. In practical terms, this implies that heavy-tailed distributions can model phenomena where extreme events have a considerable chance of occurring.

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