The "List of curves" typically refers to a compilation of various types of curves used in mathematics, physics, engineering, and computer graphics. Here’s a selection of notable topics related to curves: ### 1. **Basic Curves** - Line - Circle - Ellipse - Parabola - Hyperbola ### 2.
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.
A manifold is a mathematical space that, at a local level, resembles Euclidean space. Manifolds are foundational in fields like geometry, topology, and physics. The list of manifolds can be categorized in several ways, depending on various properties such as dimension, structure, and topology. Here are some important categories and examples of manifolds: ### 1. **Euclidean Spaces** - **\( \mathbb{R}^n \)**: The n-dimensional Euclidean space.
The term "misnamed theorems" refers to mathematical theorems that have names which may be misleading, incorrect, or attributed to the wrong person. Here are some notable examples: 1. **Fermat's Last Theorem**: While this theorem is indeed named after Pierre de Fermat, he never provided a complete proof. The famous statement of the theorem was only proven by Andrew Wiles in the 1990s, long after Fermat's time.
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.
SXAL/MBAL refers to a type of battery technology specifically designed for energy storage systems. SXAL stands for "Sodium-Xenon Alkaline" and MBAL refers to "Metal-Based Alkaline." These batteries combine elements of alkaline battery chemistry with innovative materials to enhance performance, energy density, and cycle life. The use of sodium and xenon in the SXAL design aims to improve safety and environmental sustainability compared to traditional lithium-ion batteries.
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.
The "List of statistics articles" generally refers to a compilation of articles, papers, or entries related to various topics within the field of statistics. This can include theoretical concepts, applied statistics, biostatistics, statistical methods, data analysis techniques, software tools, and more. Such lists can often be found in academic resources, online encyclopedias (like Wikipedia), and educational websites.
The "sum of squares" is a statistical concept used to measure the variability or dispersion in a dataset. It is calculated by taking the difference between each data point and the mean of the dataset, squaring those differences, and then summing them up. It can be used in various contexts, including inferential statistics, regression analysis, and the analysis of variance (ANOVA). ### Formula Given a dataset with \( n \) observations \( x_1, x_2, ...
Nicolas Minorsky was a prominent figure in the field of control theory and also made significant contributions to the study of systems and mathematical models. His work spans various topics within electrical engineering and applied mathematics. A comprehensive list of his works includes a variety of papers, books, and contributions to the field.
Mathematics is a vast and diverse field that encompasses a wide range of topics. Here's a categorized list of some major areas in mathematics: ### 1. Arithmetic - Basic Operations (Addition, Subtraction, Multiplication, Division) - Number Theory (Prime numbers, Divisibility, Modular arithmetic) - Fractions, Decimals, and Percentages ### 2.
The outline of trigonometry typically includes the following key concepts and topics: ### 1. Introduction to Trigonometry - Definition and importance of trigonometry. - Historical background. ### 2. Basic Concepts - Definition of angles (degrees and radians). - Measurement of angles. - Types of angles (acute, obtuse, right, straight, reflex). - Coterminal angles. ### 3.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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