The Photo-Carnot engine is a conceptual thermodynamic cycle that combines principles from thermodynamics and photosynthesis to convert light energy, typically from the sun, into useful work or energy. The name derives from the Carnot engine, which is an idealized heat engine that operates on the Carnot cycle and sets the theoretical maximum efficiency for any heat engine based on the temperatures of the heat reservoirs it operates between.
The term "compound of octahedra" typically refers to a geometric structure that consists of multiple octahedra arranged in a specific configuration. One common example is the compound made up of two interpenetrating octahedra, also known as the "double octahedron." In three-dimensional space, an octahedron is a polyhedron with eight triangular faces, twelve edges, and six vertices.
"Volta do mar," which translates to "turn of the sea" in Portuguese, refers to a navigational technique developed during the Age of Exploration in the 15th and 16th centuries. It was particularly used by Portuguese navigators and involved using ocean currents and winds to chart a course that would facilitate longer sea voyages. Instead of sailing directly into prevailing winds and currents, which could be hazardous and inefficient, navigators would take a route that leveraged these natural elements to their advantage.
Resistive skin time (RST) is a term primarily used in the fields of neurology and psychophysiology to describe the time it takes for the skin's electrical resistance to reach a stable value after a stimulus is applied. This concept is often associated with measurements of skin conductance, where changes in skin resistance can indicate physiological and psychological responses to stimuli.
The Dehn plane, named after mathematician Max Dehn, is a concept in the field of geometry, specifically within the study of tessellations and geometric transformations. It is particularly associated with the properties and characteristics of certain types of tilings and polygonal arrangements.
The term "Separation Theorem" can refer to different concepts in various fields of mathematics and economics, but here are a few prominent examples: 1. **Separation Theorem in Convex Analysis**: In convex analysis, the Separation Theorem states that if two convex sets do not intersect, then there exists a hyperplane that can separate them. This hyperplane can be described by a linear equation, and the theorem is fundamental in optimization, especially in the context of convex programming.
Linear algebra is a branch of mathematics that deals with vectors, vector spaces, linear transformations, and systems of linear equations. It provides a framework for modeling and solving problems in various fields, including engineering, physics, computer science, economics, and more. Key concepts in linear algebra include: 1. **Vectors**: Objects that have both magnitude and direction, often represented as ordered lists of numbers (coordinates).
Indigenous statistics refers to the collection, analysis, and interpretation of data that relates specifically to Indigenous peoples and communities. This field recognizes the unique cultural, social, political, and economic contexts of Indigenous populations and emphasizes the importance of using methodologies that are respectful and culturally appropriate. Key aspects of Indigenous statistics include: 1. **Culturally Relevant Frameworks**: Indigenous statistics often draw on traditional knowledge systems and concepts that are relevant to Indigenous communities, integrating these with quantitative and qualitative data.
Moduli theory is a branch of mathematics that studies families of objects, often geometric or algebraic in nature, and develops a systematic way to classify these objects by considering their "moduli," or the parameters that describe them. The primary goal of moduli theory is to understand how different objects can be categorized and related based on their properties. In general, a moduli space is a space that parametrizes a certain class of mathematical objects.
Real algebraic geometry is a branch of mathematics that studies the properties and relationships of real algebraic varieties, which are the sets of solutions to systems of real polynomial equations. These varieties can be thought of as geometric objects that arise from polynomial equations with real coefficients. ### Key Concepts in Real Algebraic Geometry: 1. **Real Algebraic Sets**: A real algebraic set is the solution set of a finite collection of polynomial equations with real coefficients.
Tropical geometry is a relatively new area of mathematics that arises from 'tropicalizing' classical algebraic geometry. In classical algebraic geometry, one studies varieties defined over fields, typically using tools from linear algebra, polynomial equations, and algebraic structures. Tropical geometry, on the other hand, replaces the usual operations of addition and multiplication with tropical operations.
The term "Persian physicists" typically refers to scientists and researchers from historical and contemporary Persia (modern-day Iran) who have made significant contributions to the field of physics. Throughout history, Persian scholars have played a crucial role in the development of various scientific fields, including physics, mathematics, astronomy, and philosophy.
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





