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.
The Kaplan–Meier estimator is a statistical tool used to estimate the survival function from lifetime data. It is particularly useful in medical research for analyzing time-to-event data, such as the time until an event of interest occurs (like death, relapse, or failure) when some subjects are censored, meaning they leave the study or do not experience the event during the observation period.
Life expectancy is a statistical measure that estimates the average number of years a person can expect to live, based on demographic factors such as current age and sex, as well as historical mortality rates. It is commonly used to assess the overall health and longevity of populations and can vary significantly between different countries, regions, and demographic groups due to factors like healthcare access, lifestyle, economic conditions, and environmental influences.
Mortality forecasting is the process of predicting future mortality rates within a population. This practice is vital for various fields, including public health, insurance, and demography, as it helps to estimate life expectancy, plan for healthcare needs, allocate resources, and assess the financial stability of pension and insurance systems. The purpose of mortality forecasting can include: 1. **Public Health Planning**: Governments and health organizations use mortality forecasts to allocate healthcare resources and design public health programs to improve population health.
Panjer recursion is a recursive algorithm used in actuarial science and insurance mathematics to calculate the distribution of the sum of independent random variables, particularly in the context of risk management and insurance claims. Named after Hendrik Panjer, this method is particularly useful for computing the probabilities associated with different outcomes of aggregate claims. ### Key Elements of Panjer Recursion: 1. **Assumptions**: - The random variables (e.g., claims) are independent.
Predictive analytics is a branch of data analytics that uses statistical algorithms, machine learning techniques, and historical data to identify the likelihood of future outcomes. Essentially, it involves analyzing current and historical data to make predictions about future events. Here are some key elements of predictive analytics: 1. **Data Collection**: Gathering relevant data from various sources, which can include structured data (like databases) and unstructured data (like social media or sensor data).
RiskMetrics is a set of financial risk management tools and methodologies developed by J.P. Morgan to measure and manage market risk. It was originally introduced in the early 1990s and has since become an industry standard for quantifying risk exposures in financial portfolios.
A Truncated Regression model is a type of statistical model used to analyze data when the dependent variable is only observed within a certain range, meaning that observations outside this range are not included in the dataset at all. This is different from censored data, where the values outside a certain range are still present but are only partially observed. ### Key Characteristics of Truncated Regression: 1. **Truncation**: In truncated data, observations below or above certain thresholds are entirely excluded from the analysis.

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