As of my last knowledge update in October 2023, there is no widely recognized public figure or notable entity by the name "Miray Bekbölet." It's possible that she is a rising personality in a specific field, such as entertainment, social media, or another area that has gained attention after that time.
Ronald George Wreyford Norrish (1897–1978) was a notable British chemist who received the Nobel Prize in Chemistry in 1967, along with Manfred Eigen and George A. Olah, for his work on the study of extremely fast chemical reactions. Norrish was particularly known for developing techniques such as flash photolysis, which allowed scientists to observe the intermediate species formed during chemical reactions in real time.
The Ratio Test is a method in mathematical analysis, particularly useful for determining the convergence or divergence of infinite series. It is often used for series whose terms involve factorials, exponentials, or other functions where the terms can grow rapidly. ### Statement of the Ratio Test Let \( \{a_n\} \) be a sequence of positive terms.
Fractals are complex geometric shapes that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals can be found in mathematics, but they also appear in nature and other fields such as computer graphics, art, and even economics. ### Key Characteristics of Fractals: 1. **Self-Similarity**: Fractals display patterns that repeat at different scales.
The medial axis of a shape is a concept from computational geometry that represents a set of points equidistant from the nearest boundary points of the shape. In simpler terms, it can be thought of as the "skeleton" or "centerline" of a shape, capturing the essential structure while simplifying its geometry. Mathematically, the medial axis can be defined as the locus of all points where there exists at least one closest point on the boundary of the shape.
A hyperboloid is a type of three-dimensional geometric surface that can be classified into two main forms: hyperboloid of one sheet and hyperboloid of two sheets.
An Archimedean circle is not a standard mathematical term, but it might refer to concepts related to Archimedes and circles in geometry. Archimedes of Syracuse, an ancient Greek mathematician, made significant contributions to the understanding of circles and geometry. One of his famous works involves the relationship between the circumference and diameter of a circle, leading to the approximation of π (pi).
Jean Paul de Gua de Malves was a French mathematician known for his work in the field of geometry and for his contributions to the study of infinitesimal calculus. He was born in the late 17th century, around 1730, and passed away in 1788. Gua de Malves is best known for his developments in the area of differential geometry and for his work on the principles of mathematical analysis.
Coinage shapes refer to the distinct geometrical forms and designs of coins, which can vary based on cultural, historical, and practical considerations. Here are the main aspects related to coinage shapes: 1. **Physical Shape**: The most common shape for coins is round, but coins can also be found in various other shapes such as polygonal, square, or even irregular forms. The shape can be influenced by technological and minting capabilities, as well as aesthetic choices.
"Fusiform" is an adjective used in various contexts, typically meaning "spindle-shaped" or "tapering at both ends." The term can describe objects or structures that are wider in the middle and tapered at both ends, similar to the shape of a spindle. In anatomy, "fusiform" often refers to specific shapes of muscles or cells.
A glossary of shapes with metaphorical names typically includes terms that describe geometric shapes while also conveying deeper meanings, concepts, or associations. Below are some common shapes and their metaphorical interpretations: 1. **Circle** - Represents unity, wholeness, and infinity. It often symbolizes continuity and the cyclical nature of life.
In geometry, a "lemon" refers to a specific type of concave polygon that resembles the shape of a lemon. It is characterized by being a balanced shape with one distinct concave region. In a lemon shape, the boundary typically has a "cusp" or point where the interior angles are greater than 180 degrees, giving it a concave appearance. The lemon shape is often studied in the context of various mathematical properties, including its area, perimeter, and applications in geometric problems.
A sphericon is a geometric shape that resembles a combination of a sphere and a cone. It is formed by taking a solid, known as a sphericon, which is created by rotating a certain shape (typically a triangular section) about an axis that is not aligned with its base. The sphericon has a unique property: it can roll smoothly in any direction on a flat surface, which is a characteristic that distinguishes it from traditional cones.
The Brascamp–Lieb inequality is an important result in the field of functional analysis and geometric measure theory. It provides a powerful estimate for integrals of products of functions that arise in various areas of mathematics, including harmonic analysis and the theory of partial differential equations. ### Statement of the Inequality The Brascamp–Lieb inequality states that for a collection of measurable functions and linear maps, one can obtain an upper bound on the integral of a product of these functions.
The Ring Lemma, also known as the Ring Lemma in the context of topological groups, refers to a result in the field of topology and functional analysis, particularly concerning the structure of certain sets in the context of algebraic operations.
Toponogov's theorem is a result in the field of differential geometry, specifically relating to the geometry of non-Euclidean spaces such as hyperbolic spaces. It provides a condition for comparing triangles in a geodesic space with triangles in Euclidean space.
Microswimmers are small, often microscopic entities designed or evolved to move through fluids, typically liquid environments like water. These entities can include bacteria, sperm cells, and engineered particles or robots designed to mimic biological swimming. The study of microswimmers encompasses various fields, including biology, robotics, physics, and engineering, where researchers investigate their movement patterns, interactions with other particles, and potential applications.
Robot locomotion refers to the various ways in which robots move and navigate through their environments. This field encompasses the design, control, and operation of robotic systems that can traverse different terrains, adapt to various conditions, and handle obstacles. There are several primary types of locomotion mechanisms in robotics: 1. **Wheeled Locomotion**: This is one of the most common forms of locomotion, where robots use wheels to move.
Principles of motion sensing refer to the fundamental concepts and technologies used to detect and measure movement. Motion sensing is widely used in various applications, including consumer electronics, robotics, automotive systems, and security. Here are some key principles and technologies involved in motion sensing: 1. **Types of Motion Sensors**: - **Accelerometers**: These sensors measure acceleration forces acting on the sensor in one or more directions. By integrating acceleration data over time, they can determine velocity and position.
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





