The classification of complex surfaces is a rich area in algebraic geometry. A complex surface is a two-dimensional complex manifold, which can be studied both from the perspective of complex geometry and algebraic geometry. ### Types of Complex Surfaces Complex surfaces can be classified based on their geometric and algebraic properties. Here’s a list of important types of complex surfaces along with some examples: 1. **Algebraic Surfaces**: These surfaces can be defined by polynomial equations in projective space.
A list of tessellations refers to various patterns or arrangements that fill a plane without any gaps or overlaps. In mathematics and art, tessellations are studied for their geometric properties and aesthetic appeal. Here are some common types of tessellations: 1. **Regular Tessellations**: These are formed using a single type of regular polygon.
Nonlinear ordinary differential equations (ODEs) are differential equations that are not linear in the unknown function and its derivatives. The list of nonlinear ODEs can encompass a wide variety of forms and classifications. Here are some common types and examples of nonlinear ODEs: ### 1.
The study of partial differential equations (PDEs) encompasses a wide array of topics, which can be organized into several categories. Below is a list of topics often encountered in the study of PDEs: ### 1. **Basic Concepts** - Definition of PDEs - Linear vs. Nonlinear PDEs - Order of PDEs - Classification of PDEs (elliptic, parabolic, hyperbolic) ### 2.
A list of polygons typically refers to a classification or enumeration of different types of polygons based on their number of sides and other characteristics.
Set theory is a branch of mathematical logic that deals with sets, which are collections of objects. Below is a list of topics commonly studied in set theory: 1. **Basic Definitions** - Sets, Elements, and Notation - Empty Set (Null Set) - Universal Set - Subsets - Proper Subsets 2.
This is just the most charming of the Four Great Classic Novels.
The definitive television series adaptation is obviously Journey to the West. It just manages to capture all the charms of Sun Wukong and Zhu Bajie.
There seems to exist a version with full Chinese + English subtitles: www.youtube.com/watch?v=0_r3eWfTMDs&list=PLdAMXqGeRsOkXzuocRkBPhe5RhZ6RotGH&index=2
www.youtube.com/watch?v=e8VWVvHjskM&list=PLIj4BzSwQ-_ueXTO7EBmShk1b3lEqc5b_ official CCTV电视剧 (CCTV TV Series Channel) upload without Chinese + English subtitles.
Talks about rebellion of the oppressed (and bandits), and therefore has been controversial throughout the many Chinese dictatorships.
The book is based on real events surrounding 12th century rebel leader Song Jiang during the Song dynasty.
It is also interesting that Mao Zedong was apparently a fan of the novel, although he had to hide that to some extent due to the controversial nature of the material, which could be said to instigate rebellion.
The incredible popularity of the novel can also be seen by the large number of paintings of it found in the Summer Palace.
This is a good novel. It appeals to Ciro Santilli's sensibilities of rebelling against unfairness, and in particular about people who are at the margin of society (at the river margin) doing so. Tax the rich BTW.
It also has always made Ciro quite curious how such novels are not used as a way to inspire people to rebel against the Chinese Communist Party.
Full text uploads of Chinese versions:
- www.gutenberg.org/cache/epub/23863/pg23863.html No table of contents.
In the context of invariant theory, the term "covariant" refers to certain mathematical objects or functions that transform in a specific way under changes of coordinates or transformations. Invariant theory, broadly speaking, deals with questions about which properties of geometric objects remain unchanged (invariant) under group actions or transformations, usually from a linear algebra setting.
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