Jan Myrheim does not appear to be a widely recognized individual or term as of my last update in October 2023. If Jan Myrheim is a person, figure, or concept that has gained prominence more recently or is specific to a certain context or locale, I would not have that information.
As of my last update in October 2021, there is no widely recognized figure or concept known as "Jens Feder." It could be a name of an individual or a specific term that has emerged after my last update. If you are seeking information about a specific person or concept that has gained relevance recently, I recommend checking the latest sources or news articles for the most current information.
As of my last update in October 2023, Tor Brustad does not appear to be a widely recognized public figure, concept, or term in prominent literature, science, or popular culture. It's possible that Tor Brustad may refer to a lesser-known individual or a specific entity relevant to a certain field, locality, or community that hasn't gained broad recognition. If you could provide more context or specify the area (e.g., literature, science, history, etc.
The Traveling Purchaser Problem (TPP) is a combinatorial optimization problem that is a variant of the well-known Traveling Salesman Problem (TSP). In the TPP, the objective is to identify the most efficient route for a purchaser who needs to buy a set of items from different locations while minimizing the total cost. This cost includes not only the travel costs between locations but also the prices of the items being purchased.
Per Christian Hemmer is not immediately recognizable as a widely known public figure, celebrity, or historical figure based on available information up to October 2021. It's possible that he could be a professional in a specific field, such as academia, business, arts, or another area, but without further context, it's challenging to provide accurate information.
Selda Ekiz is a renowned Turkish singer-songwriter and musician known for her contributions to the Turkish music scene, particularly in genres such as pop and folk. She has gained recognition for her distinctive voice and emotive songwriting. While specific details about her current projects or latest albums might not be up to date, she has been an influential figure in promoting Turkish music both in Turkey and internationally.
In the context of Banach spaces and functional analysis, "multipliers" and "centralizers" refer to specific types of linear operators that act on spaces of functions or sequences, and are of interest in areas such as harmonic analysis, operator theory, and the study of functional spaces. ### Multipliers In the context of Banach spaces or spaces of functions (often within the framework of Fourier analysis), a **multiplier** is typically defined in relation to Fourier transforms or similar transforms.
Operator algebra is a branch of mathematics that deals with the study of operators, particularly in the context of functional analysis and quantum mechanics. It focuses on the algebraic structures that arise from collections of bounded or unbounded linear operators acting on a Hilbert space or a Banach space. Key concepts in operator algebra include: 1. **Operators:** These are mathematical entities that act on elements of a vector space. In quantum mechanics, operators represent observable quantities (like position, momentum, and energy).
The operator norm is a way to measure the "size" or "length" of a linear operator between two normed vector spaces.
An **operator space** is a specific type of mathematical structure used primarily in functional analysis and operator theory. It is a complete normed space of bounded linear operators on a Hilbert space (or a more general Banach space) endowed with a certain additional structure. The more formal notion of operator spaces arose in the context of the study of noncommutative geometry and quantum physics, but it has also found applications in various areas of mathematics, including the theory of Banach spaces and matrix theory.
Singular integral operators of convolution type are a particular class of linear operators that arise in the study of functional analysis, partial differential equations, and harmonic analysis. These operators are defined through convolution with a kernel (a function that describes the behavior of the operator) which typically has certain singular properties.
The Covector Mapping Principle is a concept in differential geometry and mathematical physics that relates to the study of vector spaces and their duals. To understand the principle, let's break down the key components: 1. **Vectors and Covectors**: - In a vector space \( V \), a **vector** can be thought of as an element that can represent a point or a direction in that space.
The Beltrami identity is a mathematical result related to the calculus of variations, particularly in the context of classical mechanics and fluid dynamics. It is named after the Italian mathematician Ernesto Beltrami. In the calculus of variations, the Beltrami identity provides a necessary condition for a functional to be extremized.
The *Journal of Biomedical Optics* is an academic journal that focuses on the field of biomedical optics, which encompasses the application of optical techniques and technologies in medicine and biology. It publishes research articles, reviews, and technical papers on a variety of topics related to the use of light in health sciences. This can include areas such as imaging techniques (like optical coherence tomography and fluorescence imaging), laser applications in surgery, phototherapy, and other optical technologies in diagnostics and therapeutics.
Biomedical Optics Express is a peer-reviewed scientific journal that focuses on the field of biomedical optics and photonics. It publishes research articles, reviews, and technical notes that cover a wide range of topics related to the application of optical techniques in medicine and biology. This includes areas such as imaging, diagnostics, therapy, and instrumentation that utilize light and optical technologies. The journal is known for disseminating high-quality research aimed at advancing the understanding and application of optical methods in the biomedical field.
The Legendre–Clebsch condition is a criterion in the calculus of variations that helps determine whether a given differential equation can be derived from a variational principle, typically in the context of optimal control or mechanics. More specifically, it relates to the conditions under which a function can be considered a Hamiltonian function in a variational formulation.
The Journal of Optics is a peer-reviewed scientific journal published by IOP Publishing that focuses on the field of optics and photonics. It covers a broad range of topics within these areas, including but not limited to: 1. **Fundamental Optics**: Theoretical and experimental studies on the basic principles of light and its interactions. 2. **Laser Technology**: Research and advancements related to laser systems, including new types of lasers and their applications.
"Microscopy Research and Technique" is a peer-reviewed scientific journal that focuses on the application of microscopy techniques across various fields of biology and materials science. The journal publishes original research articles, reviews, and technical notes that deal with the development and application of microscopy methods, including but not limited to light microscopy, electron microscopy, and scanning probe microscopy. The journal aims to provide a platform for researchers to share significant findings, advancements in microscopy techniques, and innovative approaches to using microscopy in various research areas.
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





