A Hermite spline is a type of piecewise-defined curve that is particularly useful in computer graphics and animation for smoothly interpolating between two or more points. The defining characteristic of Hermite splines is that they are defined by their endpoints and associated tangents (or derivatives) at these endpoints. This makes them versatile for creating smooth curves that pass through specified points with controlled slopes.
GÉANT is a high-speed research and education network that connects national research and education networks (NRENs) across Europe and beyond. It facilitates collaboration and data transfer among researchers, institutions, and organizations in the academic sector, providing a backbone for advanced internet services and applications. GÉANT supports a range of activities, including high-capacity data transfers, collaboration on scientific projects, and the deployment of innovative technologies.
An astronomical transit refers to the event when one celestial body passes in front of another, as observed from a particular vantage point, typically from Earth. This phenomenon can occur among various celestial objects, such as planets, moons, or even stars. The most common types of transits are: 1. **Planetary Transit**: This occurs when a planet passes directly between a star and an observer, causing a temporary dimming of the star's light.
AMSRefs is a reference management tool developed by the American Mathematical Society (AMS) for use in mathematical writing. It helps authors manage citations and formatting in their documents, particularly those written in LaTeX. AMSRefs provides a way to create bibliographies and ensures that references are formatted according to the AMS style guidelines. The tool simplifies the process of citing mathematical literature by allowing users to generate references in various formats, making it easier to prepare manuscripts for submission to journals or for inclusion in personal projects.
Ollama is a highly automated open source wrapper that makes it very easy to run multiple Open weight LLM models either on CPU or GPU.
Its README alone is of great value, serving as a fantastic list of the most popular Open weight LLM models in existence.
Install with:
curl https://ollama.ai/install.sh | shOn P14s it runs on CPU and generates a few tokens per second, which is quite usable for a quick interactive play.
As mentioned at github.com/jmorganca/ollama/blob/0174665d0e7dcdd8c60390ab2dd07155ef84eb3f/docs/faq.md the downloads to under The file:gives a the exact model name and parameters.
/usr/share/ollama/.ollama/models/ and ncdu tells me:--- /usr/share/ollama ----------------------------------
3.6 GiB [###########################] /.ollama
4.0 KiB [ ] .bashrc
4.0 KiB [ ] .profile
4.0 KiB [ ] .bash_logout/usr/share/ollama/.ollama/models/manifests/hf.co/mlabonne/Meta-Llama-3.1-8B-Instruct-abliterated-GGUF/Q2_KWe can also do it non-interactively with:which gave me:but note that there is a random seed that affects each run by default. ollama-expect is an attempt to make the output deterministic.
/bin/time ollama run llama2 'What is quantum field theory?'0.13user 0.17system 2:06.32elapsed 0%CPU (0avgtext+0avgdata 17280maxresident)k
0inputs+0outputs (0major+2203minor)pagefaults 0swapsSome other quick benchmarks from Amazon EC2 GPU on a g4nd.xlarge instance which had an Nvidia Tesla T4:and on Nvidia A10G in an g5.xlarge instance:
0.07user 0.05system 0:16.91elapsed 0%CPU (0avgtext+0avgdata 16896maxresident)k
0inputs+0outputs (0major+1960minor)pagefaults 0swaps0.03user 0.05system 0:09.59elapsed 0%CPU (0avgtext+0avgdata 17312maxresident)k
8inputs+0outputs (1major+1934minor)pagefaults 0swapsIt tends to babble quite a lot by default, but eventually decides to stop.
KCNK2, also known as K2P2.1 or TREK-1, is a gene that encodes for a member of the two-pore domain potassium channel family. This channel plays a significant role in regulating the electrical activity of neurons and other cells by allowing potassium ions to flow across the cell membrane, which is crucial for maintaining the resting membrane potential and contributing to the repolarization phase of action potentials.
Time-independent Schrödinger equation for a free one dimensional particle by 
Ciro Santilli 37 Updated 2025-07-16
Ciro Santilli 37 Updated 2025-07-16so the solution is:We notice that the solution has continuous spectrum, since any value of can provide a solution.
The Ainu creation myth is part of the indigenous Ainu culture of Japan, particularly associated with the northern regions such as Hokkaido. The Ainu have a rich oral tradition, and their mythological stories illustrate their understanding of the world, nature, and their relationship with the divine. In Ainu creation myths, the world is often described as being formed from the sea. One notable myth starts with the god of the sea, who created the first land.
The Aircraft Reactor Experiment (ARE) was a project developed by the United States in the late 1950s to explore the feasibility of using nuclear power for aircraft propulsion. Conducted by the Los Alamos National Laboratory and the Atomic Energy Commission, the primary objective of the experiment was to determine if a nuclear reactor could be designed for use in an aircraft engine and if it could provide sufficient thrust and power for sustained flight.
An intransitive game is a type of game or sport where the relationship between the players or strategies does not follow a simple transitive order. In a transitive game, if Player A defeats Player B and Player B defeats Player C, then Player A is expected to defeat Player C. However, in an intransitive game, this pattern does not hold; the outcomes can be cyclical or non-linear.
Gelenbevi Ismail Efendi, also known as Gelenbevi Ismail or simply Ismail Efendi, was a prominent figure in the late Ottoman Empire, particularly noted for his contributions to the field of education, especially in relation to modernizing and reforming the educational system in Turkey. He is particularly associated with the title of "Gelenbevi," which refers to his origins in the town of Gelenbe in present-day Turkey.
The Atiyah conjecture on configurations is a mathematical statement concerning the representation theory of algebraic structures, specifically related to bundles of vector spaces over topological spaces. It is named after the British mathematician Michael Atiyah, who has made significant contributions to several areas of mathematics, including topology, geometry, and mathematical physics.
Fractional-order control refers to a control strategy that utilizes fractional-order calculus, which extends traditional integer-order calculus to non-integer (fractional) orders. This approach allows engineers and control theorists to model and control dynamic systems with a greater degree of flexibility and complexity than traditional integer-order controllers.
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