Friedrich Otto Rudolf Sturm, also known simply as Fritz Sturm, is a renowned figure in the field of mathematics and is known for his contributions to various areas including differential equations, control theory, and numerical analysis.
Howard Eves was a notable American mathematician, known for his contributions to geometry, particularly in the realms of mathematics education and mathematical history. Born in 1888 and passing away in 1975, Eves served as a professor and authored several influential textbooks and papers. He is particularly recognized for his work on the history of mathematics and for promoting the understanding of mathematical concepts through engaging teaching methods. His books on geometry and mathematical history remain significant resources in the field.
James B. Carrell was a notable American mathematician known for his contributions to the field of mathematics, particularly in algebra and topology. He is recognized for various mathematical concepts and theorems, although detailed information about his life and specific works may not be widely documented.
Johannes Hjelmslev (1899-1965) was a Danish linguist and a key figure in the development of structural linguistics in the 20th century. He is best known for his work in the field of semiotics, the study of signs and their meanings, as well as for his contributions to the theory of language structure.
Leroy Milton Kelly, often referred to simply as "Leroy Kelly," is a former American football player known for his time as a running back in the National Football League (NFL). He played for the Cleveland Browns from 1964 to 1973. Kelly was a versatile and talented player, known for his speed and agility on the field. During his career, Kelly was a key player for the Browns and was inducted into the Pro Football Hall of Fame in 1994.
Lorenzo Mascheroni (1750–1800) was an Italian mathematician known for his contributions to geometry and for his work on the relationship between geometry and the mathematics of numbers. He is particularly renowned for Mascheroni's theorem, which asserts that any Euclidean construction that can be accomplished using a compass and straightedge can also be performed using only a compass. This result has implications for the foundations of geometry and the nature of geometric constructions.
Oskar Bolza (1857–1942) was a notable German mathematician, particularly recognized for his contributions to the fields of analysis and differential equations. He played a significant role in developing mathematical theories during the late 19th and early 20th centuries. Bolza is known for the Bolza problem in calculus of variations, which deals with finding the extremal functions for a given integral that also satisfies certain constraints.
Richard M. Pollack is a prominent American scientist known for his research in the fields of biology and biophysics. He is particularly recognized for his work on the mechanisms of molecular motors and their role in cellular processes. His research often intersects with topics such as energy conversion, protein structure, and the physical principles underlying biological functions. Pollack has published numerous scientific papers and has contributed to the understanding of how molecular machines operate at the cellular level.
Robert Williams is a mathematical geometer known for his work in the field of differential geometry and topology. His research often intersects with various areas of mathematics, including algebraic geometry and the study of manifolds. Williams has made notable contributions to the understanding of geometric structures and their properties. One of his significant contributions includes work on dynamical systems and their geometric aspects.
Yuri Burago is a mathematician known for his contributions to the fields of geometry and topology. He has made significant advancements in the study of metric spaces, as well as in the areas of differential geometry and geodesic flows. In addition to his research, Burago is also known for his role in mathematics education, having authored several textbooks that are used in university-level courses.
Sphericity is a geometric measure that describes how closely the shape of an object resembles that of a perfect sphere. It quantitatively assesses the roundness of a shape in three-dimensional space. The concept is often used in various fields, including statistics, physical sciences, and engineering. In a mathematical context, sphericity can be defined as the ratio of the surface area of a sphere with the same volume as the object to the surface area of the object itself.
Image rectification is a process used in computer vision and image processing that aims to correct or transform images so that they appear as if they were taken from a different perspective or point of view. The primary goal of image rectification is to eliminate distortions and misalignments that occur due to factors like camera tilt, lens distortion, or different camera angles, thereby producing more consistent and comparable images.
Stereo cameras are devices that use two or more lenses to capture images simultaneously from slightly different perspectives, mimicking the way human eyes perceive depth and three-dimensionality. By providing different viewpoints, stereo cameras can capture depth information, allowing for the creation of 3D images or videos. **Key Features of Stereo Cameras:** 1. **Depth Perception**: The primary advantage of stereo cameras is their ability to gauge depth.
An octahedral cupola is a type of geometric shape that can be classified as a part of the family of cupolae. It is formed by taking an octagonal base and placing it on top of a square prism (or frustum), which creates a structure resembling a dome on top of a flat base. In more detail, a cupola is a solid that consists of a polygonal base and triangular faces that connect the base to another polygonal face above.
A rhombicosidodecahedral prism is a three-dimensional geometric solid formed by extending the two-dimensional shape of a rhombicosidodecahedron vertically along a third axis, creating a prism. To break this down a bit: 1. **Rhombicosidodecahedron**: This is one of the Archimedean solids and is characterized by its 62 faces: 20 regular triangles, 30 squares, and 12 regular pentagons.
KCNF1, or "Potassium voltage-gated channel subfamily F member 1," is a gene that encodes a protein that forms a potassium ion channel in cell membranes. These channels play a crucial role in the electrical excitability of cells, including neurons and muscle cells, by controlling the flow of potassium ions (K+) across the cell membrane, which is essential for various physiological processes such as maintaining resting membrane potential, repolarization of action potentials, and overall cellular signaling.
A snub cubic prism is a type of polyhedral shape that can be classified among the Archimedean solids. It is formed by taking a cube and "snubbing" or truncating its edges by adding a triangular prism on each edge. This results in a hybrid shape that retains some characteristics of a cube while also incorporating elements of the triangular prism. More specifically, a snub cubic prism can be considered as consisting of: 1. **Vertices**: It has 12 vertices.
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





