A **homeomorphism** is a concept from topology, which is a branch of mathematics that studies the properties of space that are preserved under continuous transformations. More specifically, a homeomorphism is a type of mapping between two topological spaces that satisfies particular conditions.
Alex Konanykhin is a businessman and entrepreneur known for his work in various fields, including technology and finance. He gained prominence for founding the online marketplace and financial services platform called "Konnexio." Additionally, he has been involved in various startups and initiatives, emphasizing innovation and entrepreneurship. Konanykhin is also recognized for his outspoken views on topics such as freedom, governmental oversight, and personal rights, often leveraging social media and public platforms to share his perspectives.
Alexander Beider is a notable figure recognized for his work in the fields of linguistics, onomastics (the study of names), and Jewish genealogy. He is particularly known for his research on Jewish surnames, exploring their origins, meanings, and historical contexts. Beider has authored several books and studies on these topics, contributing significantly to the understanding of Jewish naming conventions and their cultural implications.
Alexander Galitsky is a notable figure in the fields of technology and business, particularly known for his work in venture capital and as an entrepreneur in the technology sector. He is often associated with the Russian tech landscape and is known for founding and investing in various technology companies. Galitsky has been involved with several ventures and may be recognized for his expertise and contributions to innovation in technology, particularly in software and telecommunications.
"Nouvelle tendance" is a French phrase that translates to "new trend" in English. It typically refers to a fresh or emerging trend in various fields such as fashion, art, music, or culture. In these contexts, it can denote innovative styles, ideas, or movements that are gaining popularity or recognition. The term can also be used more broadly to describe any recent shift or change in societal norms, consumer behavior, or creative expressions.
Grigory Bubnov may refer to several individuals or contexts, but he is primarily known as a Russian mathematical physicist and mathematician recognized for his contributions to various fields, including analysis and the study of differential equations.
Nikolay Storonsky is a prominent entrepreneur and businessman known primarily as the co-founder and CEO of Revolut, a financial technology company that offers a range of banking services, including currency exchange, debit cards, cryptocurrency trading, and international money transfers. Founded in 2015, Revolut has gained significant popularity for its user-friendly mobile app and competitive fees compared to traditional banks.
Ratmir Timashev is a Russian-American entrepreneur and business executive, best known for his role as the co-founder and former CEO of Acronis, a global company specializing in data protection and disaster recovery solutions. Under his leadership, Acronis has grown to become a significant player in the fields of backup, storage, and cybersecurity, serving a diverse range of clients, from small businesses to large enterprises.
A mobile is a type of kinetic sculpture that is created using various materials, such as metal, wood, or plastic, suspended from a central point. The components of a mobile are designed to move freely, often responding to air currents or touch, which adds an element of dynamism and fluidity to the artwork. Mobiles are typically characterized by their balanced, suspended elements that can rotate and sway gently.
Viktor Ivannikov is a prominent figure in the field of computer science and is particularly known for his contributions to theoretical computer science and optimization. His work includes areas such as algorithm theory, complexity theory, and artificial intelligence.
A bivector is a geometric object that arises in the context of multivector algebra, particularly within the framework of geometric algebra. It represents an oriented area element and can be thought of as being associated with the plane spanned by two vectors in a vector space. In more formal terms, a bivector is defined as the exterior (or wedge) product of two vectors.
Motion refers to the change in position of an object over time. It is a fundamental concept in physics and can be described in terms of displacement, distance, velocity, acceleration, and time. Motion occurs when an object moves from one location to another, and it can be classified in various ways, including: 1. **Types of Motion**: - **Linear Motion**: Movement in a straight line. - **Rotational Motion**: Movement around an axis or center point.
Musical settings of poems by Dante Alighieri refer to various compositions where musicians have set Dante's poetry, particularly from his renowned works such as "The Divine Comedy" and "La Vita Nuova," to music. Dante, an iconic figure in literature and a foundational figure in the Italian language, has inspired a diverse array of musical interpretations across different genres and periods. ### Types of Musical Settings 1.
Multilinear multiplication refers to a mathematical operation involving multiple variables or tensors, where the product is linear in each argument separately. In the context of tensors, it involves evaluating products in a way that maintains linearity with respect to each of the involved tensors. ### Key Concepts: 1. **Multilinearity**: A function is multilinear if it is linear in each of its arguments independently.
Tensor reshaping is the process of changing the shape or dimensions of a tensor without altering its data. A tensor is a mathematical object that can be thought of as a generalization of scalars, vectors, and matrices to higher dimensions. In machine learning and data manipulation, tensors are commonly used to represent multi-dimensional data.
Multicriteria classification is a decision-making process that involves assessing and categorizing alternatives based on multiple criteria or dimensions. It is commonly used in fields such as operations research, environmental management, engineering, and socio-economic studies, among others. The goal is to find the best option that meets the various objectives, considering the trade-offs between competing criteria. ### Key Components of Multicriteria Classification: 1. **Alternatives**: These are the different options or choices that need to be evaluated.
John M. Deutch is an American chemist and former government official, known for his significant contributions to both academic research and public policy, particularly in the areas of energy and national security. He served in various high-level positions, including as the Director of Central Intelligence from 1995 to 1996 under President Bill Clinton. Deutch has also held academic roles, including being a professor at MIT and serving as the Institute Professor there.
Napier's bones are a set of mathematical tools invented by the Scottish mathematician John Napier in the early 17th century, specifically for the purpose of performing multiplication and division. They consist of a series of rods inscribed with numbers, arranged in a way that allows users to carry out calculations more easily than with traditional arithmetic methods. Each rod represents a digit and is divided into sections that show the products of that digit multiplied by numbers from 0 to 9.
Joseph Slepian was an American mathematician and engineer known for his significant contributions to the fields of signal processing and mathematics. He is particularly recognized for his work on the concept of the "Slepian functions," which are used in various applications including communications and statistics. Slepian's research focused on topics such as spectral analysis, estimation theory, and information theory. He has authored and co-authored numerous papers and has made lasting impacts in the areas of applied mathematics and electrical engineering.
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





