Peter Rosenthal could refer to various individuals, but one prominent figure is a professor and mathematician known for his work in the field of mathematics, particularly in topology and combinatorics. He may also be recognized for his contributions to research and education within mathematics.
Point groups in three dimensions are mathematical groups that describe the symmetry properties of three-dimensional objects. They characterize how an object can be transformed through rotations, reflections, and improper rotations (rotations followed by a reflection). Point groups are particularly important in fields such as crystallography, molecular chemistry, and physics, as they help classify the symmetries of geometric forms. ### Key Concepts: 1. **Symmetry Operations**: These include: - **Rotation**: Turning the object around an axis.
Masatoshi Gündüz Ikeda is a Japanese theoretical physicist known for his contributions in the field of condensed matter physics, quantum mechanics, and statistical mechanics. He has authored and co-authored numerous scientific papers and has been involved in various research projects. His work often focuses on understanding complex physical systems and phenomena, which may include topics like quantum phase transitions, many-body physics, and non-equilibrium systems.
Masayoshi Nagata is a prominent Japanese mathematician known for his contributions to algebraic geometry, particularly in the study of algebraic varieties, intersection theory, and the properties of Kähler manifolds. His work has been influential in various areas, including deformation theory and the theory of moduli spaces.
A **power automorphism** is a concept from the field of group theory, a branch of mathematics. To understand it, we first need to define a few key terms: - **Automorphism**: An automorphism is a function from a mathematical structure to itself that preserves the structure's operations.
A Ball spline is a type of spline, or curve, that is used in computer graphics and computational geometry to represent smooth curves or surfaces. It is an extension of classical spline concepts, incorporating the concept of "Balls" (or spheres) to create a geometric representation of curves. The key idea behind Ball splines is that they allow for the creation of smooth curves that can pass through or be influenced by a set of control points.
A hydrodynamic seal is a type of sealing mechanism used in various applications to prevent fluid leakage between rotating or moving components while allowing relative motion. This type of seal relies on fluid dynamics—specifically, the hydrodynamic pressure generated by the fluid to create an effective sealing force.
An "interfering thread nut" generally refers to a specific type of fastener that is designed to create a secure fit with a threaded fastener, such as a bolt or screw, by having threads that are slightly larger in diameter than the corresponding external threads. The term "interfering" indicates that there is an intentional design feature where the internal threads of the nut are interfered with the outer threads of the bolt.
A bonded seal, also known as a sealing ring or bonded washer, is a type of sealing device commonly used in mechanical and plumbing applications to prevent leaks between two mating surfaces. It typically consists of a metal ring that is bonded to a rubber or elastomeric sealing element. The combination of metal and rubber allows the bonded seal to provide both structural strength and flexibility.
Melvin Hochster is a distinguished American mathematician known for his contributions to several areas in mathematics, particularly in commutative algebra, algebraic geometry, and combinatorics. He is a professor at the University of Michigan and has made significant advancements in understanding the connections between algebraic geometry and combinatorial structures. His work often involves the study of ideals, rings, and their properties, and he has authored numerous research papers and collaborated with many mathematicians in his field.
Michel Van den Bergh is a name that may refer to several individuals or contexts, but without additional context, it's challenging to provide a precise answer. He is not a widely known public figure in global media or historical records as of my last update in October 2023.
Mitrofan Cioban is a Romanian painter, graphic artist, and sculptor known for his contributions to contemporary art. He has gained recognition for his unique style and techniques, often exploring themes related to identity, culture, and the human experience. His works may incorporate various mediums, reflecting a diverse artistic approach.
Moshe Meiselman is a prominent Orthodox Jewish rabbi and scholar, known for his expertise in Talmud and Jewish law. He has made significant contributions to Jewish education and has been involved in various communal and educational initiatives. He is associated with the Orthodox Jewish community and has taught at several institutions, focusing on the intersection of traditional Jewish texts and modern issues. Additionally, he has published works in the field of Jewish thought and law.
Muriel Kennett Wales is not widely recognized in public domain sources or historical records. It's possible that the name refers to a private individual or a lesser-known figure.
Nathan Jacobson was an influential mathematician known primarily for his contributions to algebra, particularly in the fields of group theory and algebraic structures. He made significant advancements in the understanding of rings, groups, and fields. Jacobson is also known for his work in linear algebra and functional analysis. He authored several important texts and papers throughout his career, helping to shape modern algebra. Jacobson's influence extends beyond his mathematical contributions, as he was also known for his role in mathematics education and mentorship.
Nicolae Popescu could refer to a few different things, depending on the context. 1. **Nicolae Popescu (the Romanian footballer)**: He is a professional football player from Romania, often playing as a defensive midfielder or defender. He has been known to play in various European leagues and for the Romanian national team.
As of my last knowledge update in October 2023, "Nissan Deliatitz" does not appear to correspond to any well-known Nissan vehicle, model, or concept. It is possible that it might be a typographical error, a lesser-known term, or a very recent development that has emerged after my last update.

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