Geometry in computer vision refers to the study and application of geometric principles to understand, interpret, and manipulate visual data captured from the real world. It plays a crucial role in various tasks and algorithms that involve shape, position, and the three-dimensional structure of objects. Here are some key aspects of how geometry is applied in computer vision: 1. **Image Formation**: Geometry helps in understanding how a three-dimensional scene is projected onto a two-dimensional image sensor. This includes knowledge about camera models (e.
Unsolved problems in geometry cover a wide range of topics and questions that have yet to be resolved. Here are a few notable examples: 1. **The Poincaré Conjecture**: While this conjecture was solved by Grigori Perelman in 2003, its implications and related questions about the topology of higher-dimensional manifolds are still active areas of research.
Space refers to the vast, seemingly infinite expanse that exists beyond the Earth's atmosphere, encompassing all celestial bodies, such as stars, planets, moons, asteroids, comets, and galaxies, as well as the vacuum between them. It is characterized by a near absence of matter, extremely low temperatures, and a lack of atmosphere, which results in many unique physical phenomena, including microgravity and cosmic radiation.
The Hadamard gate takes or (quantum states with probability 1.0 of measuring either 0 or 1), and produces states that have equal probability of 0 or 1.
Equation 1.
Hadamard gate matrix
. Superstatistics is a framework used to describe systems that exhibit statistical behavior in the presence of fluctuations in external conditions, such as temperature or energy. It is particularly useful for analyzing data that shows complex patterns or distributions that cannot be adequately described by traditional statistical mechanics. The concept of superstatistics was introduced by physicist Cassi et al., and it can be applied in various fields, including statistical physics, economics, and biology.
Newspeak is a fictional language created by George Orwell in his dystopian novel "1984," published in 1949. It is designed as a tool of political control in the totalitarian regime of Oceania. The primary purpose of Newspeak is to limit the range of thought and expression by reducing the complexity of language. By simplifying vocabulary and grammar, the ruling Party aims to eliminate any potential for rebellious thoughts — what Orwell referred to as "thoughtcrime.
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