In mathematics, a **homomorphism** is a structure-preserving map between two algebraic structures of the same type. More specifically, it is a function that respects the operation(s) defined on those structures. The concept of homomorphism is widely used in various branches of mathematics, including group theory, ring theory, and linear algebra. ### Types of Homomorphisms 1.
Janusz Grabowski is not a widely recognized public figure or concept as of my last knowledge update in October 2023.
Abraham de Moivre (1667–1754) was a French mathematician known for his work in probability theory and for his contributions to the development of the theory of complex numbers.
Dušan Repovš is a notable figure in the field of mathematics, particularly known for his work in logic, set theory, and foundational mathematics. He has made significant contributions to mathematical education and research.
Gregory Eskin is a notable figure in the field of mathematics and mathematical biology. He has made contributions primarily in areas related to applied mathematics, mathematical modeling, and complex systems. However, it is essential to note that there may be multiple individuals with the name Gregory Eskin, so the specific context in which you are asking about him could influence the answer.
Paolo Marcellini is an Italian mathematician known for his work in functional analysis, calculus of variations, and mathematical analysis. His contributions to the field often involve the study of nonlinear partial differential equations and optimization problems. He has published numerous research papers and is recognized in academic circles for his expertise in these areas.
Shoshana Kamin is a notable Jewish-American artist, primarily recognized for her work as an abstract painter. She is known for her unique approach to form, color, and texture within her artwork, which often reflects her cultural heritage and personal experiences.
Albert-László Barabási is a prominent Hungarian-American physicist known for his work in network science. He is particularly renowned for his research on complex networks, which has applications in various fields including sociology, biology, and computer science. Barabási is best known for the development of the Barabási-Albert model, which describes how networks grow and evolve over time, emphasizing the role of "preferential attachment" where nodes with higher connectivity are more likely to attract new connections.
C. R. Rao, or Calyampudi Radhakrishna Rao, is an Indian-American mathematician and statistician regarded as one of the leading figures in the field of statistics. He was born on September 10, 1920, in Hadagali, Karnataka, India. Rao is best known for his significant contributions to statistical theory, especially in the areas of estimation theory, multivariate analysis, and design of experiments.
Elchanan Mossel is a prominent mathematician and computer scientist known for his work in areas such as probability theory, graphical models, statistical physics, and information theory. He has made significant contributions to the understanding of random processes, combinatorial structures, and machine learning. Mossel is often associated with research on the dynamics of social networks and the analysis of algorithms, particularly in the context of information spread and consensus in networks.
Elliott Waters Montroll (1911–2004) was an American mathematician and physicist known for his contributions to statistical mechanics, mathematical biology, and the field of operations research. He is particularly recognized for his work in the area of random walks and their applications in various scientific fields, including physics and biology. Montroll's research often focused on the mathematical modeling of systems with a strong emphasis on probabilistic methods and stochastic processes.
Eugene Lukacs does not appear to refer to a widely recognized figure or concept as of my last update in October 2023. It's possible that the name could relate to a specific individual who is not widely known or may have emerged in a particular field after that date. If you could provide more context or clarify the specific area you are referring to (such as art, science, literature, etc.
Franz Thomas Bruss does not appear to be a widely recognized figure, concept, or term within the general knowledge up to October 2023. It's possible that he could represent a specific individual with local significance or relevance in a certain field, such as academia, arts, or business, but additional context would be helpful to provide a more accurate response.
Hans Frauenfelder was a physicist known for his contributions to the field of condensed matter physics, specifically in areas such as magnetism and the study of glasses and disordered systems. He worked extensively on the properties of complex materials and made significant contributions to the understanding of molecular dynamics and the behavior of systems at a microscopic level. In addition to his research, Frauenfelder was also recognized for his involvement in scientific education and communication.
Henry McKean is an Irish journalist and broadcaster known for his work in radio and television. He has been involved in various media endeavors, often focusing on investigative journalism and human interest stories. McKean has worked with different broadcasting organizations, including making significant contributions to the Irish news landscape.
Evil company that desecrated the beauty created by Sun Microsystems, and was trying to bury Java once and or all in the 2010's.
Their database is already matched by open source e.g. PostgreSQL, and ERP and CRM specific systems are boring.
Oracle basically grew out of selling one of the first SQL implementations in the late 70's, and notably to the United States Government and particularly the CIA. They did deliver a lot of value in those early pre-internet days, but now open source is and will supplant them entirely.
Although Ciro Santilli is a bit past their era, there's an aura of technical excellence about those people. It just seems that they sucked at business. Those open source hippies. Erm, wait.
Bibliography:
- archive.org/details/sunburstascentof00hall Sunburst: the ascent of Sun Microsystems by Mark Hall (1990)
TODO year. This was a reply to Microsoft anti-Linux propaganda it seems: www.ubuntubuzz.com/2012/03/truth-happens-redhats-legendary-reply.html
Trascript from: www.dailymotion.com/video/xw3ws
The world is flat. Earth is the centre of the universe. Fact - until proven otherwise.
Despite ignorance. Despite ridicule. Despite opposition. Truth happens.Despite ignorance.
The telephone has too many shortcomings to be seriously considered as a means of communication. /Western Union 1876/
In 1899 the US Patent Commissioner stated, everything that can be invented has been invented.Despite ridicule.
The phonograph has no commercial value at all. /Thomas Edison 1880/
The radio craze will die out in time. /Thomas Edison 1922/
The automobile has practically reached the limit of its development. /Scientific American 1909/Despite it all truth happens.
Man will not fly for fifty years. /Orville Wright 1901/
The rocket will never leave the Earth's atomosphere. /New York Times 1936/
There is a world market for maybe five computers. /IBM's Thomas Watson 1943/
640K Ought to be enough for anybody. /Bill Gates 1981/Then they laugh at you...
We think of linux as competitor in the student and hobbyist market. But I really don't think in the commercial market we'll see it in any significant way. /Bill Gates 2001/Then they fight you...
Linux isn't going away. Linux is a serious competitor. We will rise to this challenge. /Steve Ballmer 2003/Then you win... /Mohandas Gandhi/
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