The magnetic form factor is a concept in condensed matter physics and materials science that describes how the magnetic scattering amplitude of a particle, such as an electron or a neutron, depends on its momentum transfer during scattering experiments. It is a critical parameter for understanding the magnetic properties of materials at the atomic or subatomic level.
The second covariant derivative is an extension of the concept of the covariant derivative, which is used in differential geometry and tensor analysis to differentiate tensor fields while respecting the geometric structure of a manifold. ### Covariant Derivative To understand the second covariant derivative, let’s first review the covariant derivative.
The Supersymmetric WKB (SUSY WKB) approximation is a technique in quantum mechanics and quantum field theory that combines concepts from supersymmetry (SUSY) with the semiclassical WKB (Wentzel-Kramers-Brillouin) approximation. The WKB method itself is a classic approximation technique used to find the solutions of the Schrödinger equation in the semi-classical limit (where quantum effects become negligible compared to classical effects).
The Dirac-von Neumann axioms, also known as the axioms of quantum mechanics, provide a formal framework to describe the mathematical structure of quantum mechanics. They were formulated by physicist Paul Dirac and mathematician John von Neumann in the early 20th century and establish the foundation for the theory. The axioms can be summarized as follows: 1. **State Space**: The state of a physical system is described by a vector in a complex Hilbert space.
Gyula Farkas was a Hungarian natural scientist known for his contributions to various fields, particularly in the domain of biology and physics. He is recognized for his work in biophysics and his studies related to the interactions between living organisms and physical processes. Farkas made significant contributions to understanding the properties of biological systems and was involved in research that bridged the gap between natural sciences and technology.
The 14th century saw significant developments in mathematics across various cultures and regions. Here are some notable mathematicians from that period by nationality: 1. **Italian:** - **Giovanni di Cascia**: Known for his work in arithmetic and for being one of the early Italian mathematicians to help in the development of accounting methods.
István Vincze is a Hungarian mathematician known for his work in the fields of combinatorics, graph theory, and discrete mathematics. Having published numerous papers and contributed to various aspects of mathematical research, Vincze's work likely focuses on theoretical frameworks and applications within these areas. For more specific details regarding his contributions, publications, and impact in the field, consulting academic databases or resources specific to mathematics might provide a more comprehensive overview.
As of my last update in October 2023, Andrea Razmadze does not appear to be a widely recognized public figure, celebrity, or notable person in mainstream media or literature. It's possible that she could be a private individual, a new or emerging figure, or a fictional character.
Poland has a rich mathematical tradition that spans several centuries, with contributions from numerous notable mathematicians. Here’s an overview of some prominent Polish mathematicians organized by century: ### 16th Century - **Jan Brożek (1585–1652)**: A mathematician and astronomer who made contributions to mathematics and supported the Copernican system.
Turkish mathematicians have made significant contributions to mathematics throughout various centuries, particularly in the context of the Ottoman Empire and the modern Republic of Turkey. Here’s an overview of notable Turkish mathematicians categorized by century: ### 15th - 17th Centuries - **Ali Qushji (c. 1403–1474)**: A mathematician and astronomer, he made important contributions to astronomy and was involved in the development of Islamic mathematics.
Gusztáv Rados is a Hungarian mathematician known for his contributions to various areas in mathematics, particularly in number theory and the theory of functions. Notably, he has worked on problems related to modular forms and their applications.
Several mathematicians and scholars contributed to the development of Islamic inheritance laws, which are based on the principles outlined in Islamic texts like the Quran and Hadith. One notable figure in this field is **Abu al-Hasan al-Mawardi** (974–1058), who was an Islamic jurist and scholar. He wrote extensively on inheritance laws and their applications within Islamic jurisprudence.
Elwin Bruno Christoffel was a Dutch mathematician born on June 16, 1825, and died on November 24, 1900. He is best known for his contributions to differential geometry and algebra. One notable achievement attributed to him is the Christoffel symbols, which are used in the study of curved spaces and general relativity.
Steven Vajda is a name that may refer to various individuals, so the context is important to determine who specifically you are asking about. If you're referring to a notable person, there might be professionals in areas such as science, mathematics, or the arts with that name. However, as of my last update, there is no widely recognized public figure or significant historical figure by that name.
Gustav Conrad Bauer does not appear to be a widely recognized figure in historical or contemporary discourse based on the data available up to October 2023. It's possible that he might be a lesser-known individual, a character from a specific literary or artistic work, or a figure who gained recognition after my last update.
Maximilian Curtze may refer to a person or entity, but without more specific context, it's difficult to provide detailed information. As of my last update in October 2023, there isn't a widely recognized figure or concept by that name. If you provide a bit more context—such as the field he is associated with (e.g.
The Faculty of Mathematics at the University of Waterloo, located in Waterloo, Ontario, Canada, is renowned for its strong emphasis on mathematical and computational sciences. It is one of the largest faculties of mathematics in the world and is a leader in research and education in this field.
Muhurta is a concept in Hindu astrology (Jyotish) that refers to an auspicious time or period for undertaking important activities or rituals. The term "Muhurta" comes from the Sanskrit word "muhur," meaning "moment" or "time.
Charles-Benjamin de Lubières was a French philosopher and writer known for his contributions to various fields, including philosophy, economics, and literature. His works often reflect Enlightenment ideas, focusing on reason, individualism, and social reform. He gained recognition in the 18th century, and his writings contributed to the intellectual climate of the time.
Mathematics and Computing College typically refers to an educational institution or a specific department within a university that focuses on the study of mathematics and its applications in computing and technology. These colleges may offer various programs, degrees, and courses that cover topics such as: 1. **Pure Mathematics**: This includes theoretical mathematical concepts, algebra, calculus, and number theory.

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