"Polish astronomers" refers to astronomers from Poland or those who have made significant contributions to the field of astronomy while working in Poland. Poland has a rich history in astronomy, with notable figures such as: 1. **Nicolaus Copernicus (1473–1543)**: Perhaps the most famous Polish astronomer, Copernicus proposed the heliocentric model of the solar system, which positioned the Sun at the center rather than the Earth.
The Continuum Hypothesis (CH) is a statement in set theory that deals with the size of infinite sets, particularly the sizes of the set of natural numbers and the set of real numbers. Formulated by Georg Cantor in the late 19th century, it posits that there is no set whose cardinality (size) is strictly between that of the integers and the real numbers.
The Gimel function typically refers to a function denoted by the Hebrew letter "Gimel" (ג) in the context of specific mathematical or scientific frameworks. However, the term could apply to different areas, and without additional context, it's hard to pinpoint its exact definition. In some contexts, especially in physics or applied mathematics, "Gimel" might refer to a specific type of function or transformation, but it's not a widely recognized standard term like sine, cosine, or exponential functions.
A complex measure is a generalized concept in measure theory that extends the notion of a measure to allow for complex-valued measures. While a traditional measure assigns a non-negative real number to a set (such as its "size" or "volume"), a complex measure can assign a complex number to a set.
Enumeration is a systematic listing or counting of items, elements, or objects. It can refer to various contexts, including: 1. **Mathematics and Computer Science**: In these fields, enumeration often refers to the process of systematically listing all possible configurations or combinations of a particular set. For example, in combinatorics, enumeration is used to count the number of ways to arrange or select items from a collection.
Transcendental numbers are a specific type of real or complex number that are not algebraic. An algebraic number is defined as any number that is a root of a non-zero polynomial equation with integer coefficients. In simpler terms, if you can express a number as a solution to an equation of the form: \[ a_n x^n + a_{n-1} x^{n-1} + ...
A Gaussian moat is a concept in the field of probability and statistics, particularly in the analysis of random processes. It refers to a specific strategy or technique used in the context of stochastic processes, such as random walks or Brownian motion. The term is often associated with the study of diffusion processes, where the "moat" represents a barrier or boundary that influences the behavior of particles or agents in a random environment.
An imaginary number is a mathematical concept that is used to extend the real number system. It is defined as a number that can be expressed as a real number multiplied by the imaginary unit \(i\), where: \[ i = \sqrt{-1} \] This means that \(i^2 = -1\). Imaginary numbers are typically expressed in the form \(bi\), where \(b\) is a real number.
Cebuano numbers refer to the numerical system used in the Cebuano language, which is spoken primarily in the Philippines, particularly in the Visayas region, including Cebu. Like many languages, Cebuano has its own words for numbers, both for cardinal (counting) numbers and ordinal (ordering) numbers. Here’s a list of some basic Cebuano numbers: ### Cardinal Numbers 1. Usa (1) 2. Duha (2) 3. Tulo (3) 4.
Lee Sallows is a noted English mathematician and writer best known for his work in number theory and combinatorial mathematics. He is also known for creating interesting mathematical puzzles and problems. One of his contributions includes the exploration of "Sallows numbers," which are related to certain properties of numerical sequences and patterns. Apart from his mathematical work, Lee Sallows has authored a variety of articles and publications that delve into mathematical recreational activities and problem-solving techniques.
Sperner's theorem is a result in combinatorics that deals with families of subsets of a finite set. Specifically, it states that if you have a set \( S \) with \( n \) elements, the largest family of subsets of \( S \) that can be chosen such that no one subset is contained within another (i.e.
Richard K. Guy (1916–2020) was a renowned British mathematician known for his contributions to various fields of mathematics, particularly in combinatorial game theory, number theory, and combinatorial geometry. He was a professor at the University of Calgary in Canada and had a long and prolific career in mathematical research and education. Guy is perhaps best known for co-authoring the influential book "Winning Ways for Your Mathematical Plays," which discusses strategies and theories related to combinatorial games.
As of my last update in October 2023, there is no widely recognized individual or entity named Jon Folkman in popular culture, history, or other notable fields. It's possible that Jon Folkman could refer to a private individual or a less well-known person in a specific context.
Van H. Vu is a mathematician known for his contributions to combinatorics, probability theory, and graph theory. He has worked extensively on problems related to random graphs, additive combinatorics, and extremal combinatorics. Vu has published numerous research papers and has collaborated with other mathematicians in the field. His work is influential in advancing the understanding of the connections between combinatorial structures and probabilistic methods.
Ebun Oni, which translates to "the gift of the spirit" in Yoruba, can refer to various meanings and contexts, often relating to cultural or spiritual themes. It may be associated with traditional Yoruba beliefs, where "Ebun" signifies a gift or blessing, and "Oni" suggests ownership or possession by the spirit.
The Stanley–Wilf conjecture is a statement in combinatorial mathematics concerning the enumeration of permutations and, more generally, the growth of certain classes of combinatorial objects. Specifically, it deals with the growth rate of the number of permutations avoiding a given set of patterns. Formulated in 1995 by Richard P.
Hermite interpolation is a method of interpolating a set of data points that not only matches the function values (as in polynomial interpolation) but also matches the derivatives at those points. This is particularly useful when you have information about not just the values of a function at certain nodes but also the behavior of the function (i.e., its slope) at those nodes.
The Generalized Integer Gamma Distribution is a statistical distribution that extends the traditional gamma distribution to encompass integer-valued random variables. While the classic gamma distribution is defined for continuous random variables, the generalized integer gamma distribution applies similar principles, allowing for the modeling of count data. ### Key Characteristics 1. **Parameterization**: The generalized integer gamma distribution is typically characterized by shape and scale parameters, similar to the standard gamma distribution.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





