Origamic architecture is a creative art form that combines elements of origami (the Japanese art of paper folding) and architecture. It involves the use of folded paper to create three-dimensional architectural structures and designs. This technique allows artists to design intricate models that can represent buildings, landscapes, or fantastical designs in a way that emphasizes both detail and dimensionality.
Tensors are mathematical objects that generalize scalars, vectors, and matrices to higher dimensions. They are fundamental in various fields, including physics, engineering, and machine learning, particularly in deep learning. Here’s a brief overview of what tensors are: 1. **Definition**: A tensor is essentially a multi-dimensional array that can be used to represent data. Tensors can have any number of dimensions. - A **scalar** (a single number) is a 0-dimensional tensor.
Kawasaki's theorem is a result in the field of differential geometry, particularly concerning Riemannian geometry and the construction of Riemannian manifolds. It specifically deals with the conditions under which a certain type of surface can be isometrically immersed in Euclidean space.
The Miura fold is an origami-inspired folding technique used primarily for compactly storing and deploying surfaces, such as solar panels or satellite arrays. It was developed by Japanese architect and mathematician Koryo Miura in the 1980s. The design involves a series of parallel creases that allow a flat surface to be folded into a compact shape without the need for any mechanical parts.
The Schwarz lantern is a geometric object that serves as a counterexample in the field of topology and differential geometry. It demonstrates that certain intuitively reasonable assumptions about the properties of manifolds cannot be universally applied. Specifically, the Schwarz lantern is constructed to show that it is possible to have a collection of regions in a compact manifold, each of which can be continuously deformable to a simpler shape, that do not yield a manifold with the desired topological properties when combined.
Scottish book sculptures are unique forms of art that involve the creative transformation of books into three-dimensional sculptures. Artists manipulate the pages of the books—by cutting, folding, tearing, or stacking—to create intricate designs and figures. These sculptures often evoke a sense of storytelling, with the physical structure of the book contributing to the narrative or theme of the piece.
Origamics is a creative field that combines origami, the art of paper folding, with principles of engineering, mathematics, and design to create complex and innovative structures. The term "origamics" is often used to describe the study and application of foldable and deployable structures that can transform from a compact state to a larger, functional form.
Paper craft refers to a range of artistic activities that involve creating objects or decorations using paper. This can include a variety of techniques and styles, such as: 1. **Origami**: The traditional Japanese art of folding paper into intricate shapes and figures, such as animals, flowers, or geometric forms. 2. **Papercutting**: A technique where designs are cut out of paper to create intricate images and patterns. This can be done by hand with scissors or using a craft knife.
Gary Feldman could refer to multiple individuals, as it is a common name. Without specific context, it is difficult to determine who you are asking about. It could be related to a professional in various fields, such as law, academia, business, or entertainment.
As of my last update in October 2021, Ian Hinchliffe is not a widely recognized public figure or name. It's possible that he could refer to a professional in a specific field, such as academia, sports, or another industry.
A paper popper is a simple, hand-held device made from paper or plastic that creates a popping sound when it is quickly snapped or pulled apart. It usually consists of a folded paper design that can be manipulated to create a sudden release of air, resulting in the popping noise. Paper poppers are often used as noise-makers or party favors and can be a fun and engaging craft project for children. They are sometimes used in various activities or events to add excitement or to entertain.
Erwin Gabathuler is not a widely recognized figure or term in popular culture, science, or other well-documented fields as of my last knowledge update in October 2023. It's possible that he could be a private individual or someone who is less well-known outside of specific contexts or communities.
A permutation automaton is a theoretical model in computer science and automata theory that deals with the concept of permutations and their representation using states and transitions. The idea revolves around automata systems that can recognize or compute permutations of input sequences. While specific definitions and characteristics can vary, the general concept includes the following components: 1. **States**: A permutation automaton consists of a finite set of states. Each state can represent a specific arrangement or ordering of elements.
A random permutation is a rearrangement of a finite sequence of elements where each possible arrangement is equally likely. In other words, if you have a set of \( n \) distinct elements, a random permutation is one of the \( n! \) (n factorial) possible orderings of those elements chosen uniformly at random. For example, consider the set of elements \( \{1, 2, 3\} \).
"Weeks" can refer to different concepts depending on the context: 1. **Time Measurement**: A week is a unit of time equal to seven days. It is commonly used in various calendars and is the standard division of the week observed in many cultures, with Saturday and Sunday typically recognized as the weekend. 2. **Surname**: "Weeks" can be a family surname. Various individuals with this surname may have made contributions in different fields such as sports, entertainment, and academics.
Allocative efficiency is an economic concept that occurs when resources are distributed in such a way that maximizes the total benefit received by all members of society. In other words, it refers to a situation where the quantity of each good or service produced is exactly what consumers want to consume, reflecting the highest utility or satisfaction. Allocative efficiency is achieved when the price of a good or service is equal to the marginal cost of producing it.
Kaldor–Hicks efficiency is a concept in welfare economics used to evaluate economic allocations and policy changes. It represents a criterion for judging the desirability of an allocation of resources or a policy decision based on the potential for wealth creation and redistribution.
Aida El-Khadra, also known simply as Aida, is a concept related to the Palestinian heritage and culture. It often refers to a range of cultural and artistic expressions, particularly in the context of music, dance, and traditional performances that are characteristic of Palestinian identity. It can also encompass various activities and traditions celebrated by Palestinian communities, particularly those in regions like the West Bank and Gaza.
Bernice Durand could refer to a variety of subjects, including a person, an organization, or a concept. However, without more context, it is difficult to provide a specific answer.
Bilge Demirköz does not appear to refer to a widely recognized public figure, term, or concept based on the information available up until October 2023. It could possibly be a name belonging to a specific individual, perhaps in a local context or in a particular field (like academia, art, or business), but there are no readily available public references or notable information associated with it.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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