Joseph Joshua Weiss does not appear to be a widely recognized public figure or concept within my training data up to October 2023. It's possible that he could be a private individual or a name that has gained relevance after that date, or could refer to someone in a specific context not covered in my data.
John A. Pyle could refer to various individuals depending on the context, but he is notably recognized as a professor of psychology who has contributed to research in areas like cognitive and developmental psychology. If you are looking for information about a specific John A.
Martin Lowry may refer to a few different things, but one of the most prominent associations is with Martin Lowry, the British chemist known for his work in the field of electrochemistry and biological systems. He is recognized for developing various concepts and theories related to ionic solutions and the physical chemistry of biological molecules.
Levitation is the phenomenon where an object is suspended in the air without physical support, allowing it to float. This can occur through various means, including: 1. **Magnetic Levitation**: Using magnetic forces to counteract gravity, often seen in maglev trains that float above the tracks. 2. **Acoustic Levitation**: Utilizing sound waves to create pressure that can hold small particles or droplets in mid-air.
A biconcave disc is a geometric shape characterized by having two concave sides, resembling a disc or a thin, flattened sphere. This shape is commonly associated with red blood cells (erythrocytes) in biology, where the biconcave structure allows for an increased surface area relative to volume. This unique shape facilitates the efficient transport of oxygen and carbon dioxide, as it enhances the cell's ability to deform and navigate through the narrow capillaries in the circulatory system.
A helicoid is a type of geometric shape or surface characterized by a helical structure that twists around an axis. It can be mathematically defined as the surface formed by moving a line (the generator) along a helical path while maintaining a constant angle with respect to the axis of rotation.
"Helix" can refer to several things depending on the context. Here are a few common uses of the term: 1. **Biology**: In biology, a helix is a three-dimensional shape that resembles a spiral. The most well-known example is the double helix structure of DNA, which describes how the two strands of DNA wind around each other.
Pierre de Fermat (1601–1665) was a French lawyer and mathematician who is best known for his contributions to number theory and for Fermat's Last Theorem. Although he was not a professional mathematician and did not publish his work in the way that many of his contemporaries did, his insights and writings laid important groundwork for modern mathematics.
János Bolyai (1802–1860) was a Hungarian mathematician known for his foundational work in non-Euclidean geometry. He is best known for developing the principles of hyperbolic geometry independently of the Russian mathematician Nikolai Lobachevsky. Bolyai's work demonstrated that it is possible to construct a consistent geometric system in which the parallel postulate of Euclidean geometry does not hold.
Qāḍī Zāda al-Rūmī, also known simply as Qāḍī Zāda, was a notable figure in the realm of Islamic scholarship and science during the late medieval period, specifically in the 15th century. He was born in 1364 in the city of Edirne (Adrianople) in present-day Turkey and is esteemed for his contributions to mathematics, astronomy, and various Islamic sciences.
The Hilbert curve is a continuous fractal space-filling curve that maps a one-dimensional interval (like the interval [0, 1]) onto a multi-dimensional space, typically a square or cube. It was first proposed by the German mathematician David Hilbert in 1891. The curve is constructed recursively, starting from a simple shape and progressively refining it.
The Hasse–Minkowski theorem is a result in the field of number theory, specifically concerning the theory of quadratic forms. It establishes a fundamental connection between the local and global solvability of quadratic forms over the rational numbers. In simple terms, the theorem states that a quadratic form over the rational numbers can be represented by integers if and only if it can be represented by integers when considered over the completions of the rational numbers at all finite places and at infinity (the real numbers).
The Minkowski–Bouligand dimension, also known as the box-counting dimension, is a concept in fractal geometry that provides a way to measure the dimensionality of a set in a more general sense than traditional Euclidean dimensions. It is particularly useful for non-integer dimensions, which often arise in fractals and irregular geometric shapes.
Parbelos, also known as "Tarbelos," refers to a concept in mathematics, particularly in the field of geometry. It is associated with a specific type of mathematical figure or geometric construct, often related to problems involving curves and areas. However, the term may not be widely recognized, and it can vary depending on the context.
A surface of constant width is a geometric shape in three-dimensional space such that any two parallel planes that intersect the surface have the same distance between them, regardless of the orientation of the planes. In other words, the distance between parallel tangents to the surface is constant, serving as a uniform measure of width. One of the classic examples of a surface of constant width is the **sphere**, where the distance between any two parallel planes that touch the sphere is equal to the diameter of the sphere.
"Ungula" is a term that can refer to various contexts depending on the field: 1. **Biology and Zoology**: In biological terms, "ungula" is derived from Latin and refers to a hoof or a claw. It can be used to describe the hooves of ungulates, which are a group of large mammals that includes animals like horses, cows, and deer.
Flight refers to the act of moving through the air, typically associated with aircraft, birds, and other creatures capable of aerial locomotion. The concept of flight can be explored from several perspectives: 1. **Aerodynamics**: Flight involves principles of aerodynamics, which is the study of the behavior of air as it interacts with solid objects like wings.
Momentum is a concept used in both physics and finance. ### In Physics: Momentum refers to the quantity of motion of a moving body and is calculated as the product of an object's mass and its velocity. The formula for linear momentum (\(p\)) is: \[ p = mv \] where: - \(p\) is momentum, - \(m\) is mass, and - \(v\) is velocity.
Motion estimation is a key technique used in computer vision, video compression, and image analysis that involves determining the motion of objects or regions within a sequence of images or video frames. The primary goal of motion estimation is to identify how the position of objects changes over time, which can occur due to the motion of the camera, the objects themselves, or both. ### Applications of Motion Estimation 1. **Video Compression**: In codecs like H.264 or HEVC (H.
Velocity is a term that can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **Physics:** In physics, velocity is a vector quantity that refers to the rate at which an object changes its position. It has both a magnitude (speed) and a direction.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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