Theoretical neuromorphology is an interdisciplinary field that combines principles from neuroscience, biology, and theoretical modeling to understand the structure and organization of nervous systems. It explores the relationship between the physical structure (morphology) of neural systems and their function, focusing on how anatomical features of neurons and neural networks influence processes such as information processing, learning, and behavior.
The Lenstra–Lenstra–Lovász (LLL) algorithm is a polynomial-time algorithm for lattice basis reduction. It is named after its creators Arjen K. Lenstra, Hendrik W. Lenstra Jr., and László Lovász, who introduced it in 1982. The algorithm is significant in computational number theory and has applications in areas such as cryptography, coding theory, integer programming, and combinatorial optimization. ### Key Concepts 1.
The list of Russian astronomers and astrophysicists includes many prominent scientists who have made significant contributions to the fields of astronomy and astrophysics. Here are some notable figures: 1. **Mikhail Lomonosov** (1711–1765) - A polymath who contributed to various scientific fields, including the study of the atmosphere of Venus.
Collaborative Computational Project Q (CCP-Q) is a UK-based initiative focused on advancing the field of quantum computing and quantum simulations. It brings together researchers, academic institutions, and industry partners to collaboratively develop and share tools, methodologies, and knowledge related to quantum computing. The overall aim of CCP-Q is to promote the use of computational techniques in quantum science and to enhance the understanding and application of quantum technologies.
In computer animation, an "armature" refers to a skeletal structure that serves as the framework or support for animating a character or object. This structure is essential for rigging, which is the process of creating a digital skeleton that allows for the manipulation and transformation of 3D models. The armature typically consists of bones and joints that define how different parts of an object, such as a character's limbs or facial features, can move in relation to one another.
Atomistix ToolKit (ATK) is a software package developed for simulating and modeling quantum transport in nanoscale materials and devices, such as nanowires, graphene, and molecular electronics. It is widely used in the field of condensed matter physics, materials science, and nanotechnology. ATK provides a user-friendly interface, allowing researchers to perform calculations involving electronic structure, transport properties, and other related phenomena.
Elmer FEM (Finite Element Method) solver is an open-source software package designed for the simulation of physical phenomenon using the finite element method. It is primarily used for solving differential equations that describe various engineering and scientific problems across different domains, such as fluid dynamics, structural mechanics, heat transfer, electromagnetics, and more.
Umbrella sampling is a computational technique used in molecular simulations, particularly in the context of molecular dynamics and Monte Carlo methods. It is utilized to study rare events and to compute free energy profiles along a specific reaction coordinate or order parameter. The basic idea behind umbrella sampling is to enhance the sampling of configurational space by introducing a biasing potential that allows the system to explore regions that would otherwise be difficult to sample due to high energy barriers.
"GYRO" can refer to several different things depending on the context. Here are some common uses of the term: 1. **Gyroscope (Gyro)**: In physics and engineering, a gyroscope is a device used for measuring or maintaining orientation and angular velocity. Gyros are often used in navigation systems for aircraft, ships, and spacecraft.
Numerical relativity is a subfield of computational physics that focuses on solving the equations of general relativity using numerical methods. General relativity, formulated by Albert Einstein, describes the gravitational interaction as a curvature of spacetime caused by mass and energy. The equations governing this curvature, known as the Einstein field equations, are highly complex and often impossible to solve analytically in realistic scenarios, especially in dynamic situations like the collision of black holes or neutron stars.
Computational statistics journals are academic publications that focus on the development and application of computational methods and algorithms for statistical analysis. These journals typically cover a wide range of topics, including: 1. **Statistical Methods**: The creation and evaluation of new statistical methodologies, particularly those that leverage computational techniques. 2. **Simulation Studies**: Research that involves simulation methods to explore statistical problems or validate statistical models.
Time-evolving block decimation (TEBD) is a numerical method used primarily in quantum many-body physics to study the time evolution of quantum systems, particularly those described by one-dimensional quantum Hamiltonians. TEBD is particularly effective for systems represented as matrix product states (MPS), which are a form of tensor network states that can efficiently represent quantum states of many-body systems.
The timeline of computational physics is a rich and extensive one, reflecting the development of both computational methods and the physical theories they are used to investigate. Here are some key milestones: ### Early Foundations (Pre-20th Century) - **18th Century**: The foundations of numerical methods were developed. Mathematicians like Newton and Leibniz contributed to calculus, which is fundamental for modeling physical systems.
John Tukey was an influential American statistician best known for his contributions to the fields of statistics and data analysis. He was born on June 16, 1915, and passed away on July 26, 2000. Tukey is particularly famous for developing the concept of exploratory data analysis (EDA), which emphasizes graphical methods and visual representation of data to uncover underlying patterns and insights.
Spiking Neural Networks (SNNs) are a type of artificial neural network that are designed to more closely mimic the way biological neurons communicate in the brain. Unlike traditional artificial neural networks (ANNs) that use continuous values (such as activation functions with real-valued outputs) to process information, SNNs use discrete events called "spikes" or "action potentials" to convey information.
Integrated Nested Laplace Approximations (INLA) is a computational method used for Bayesian inference, particularly in the context of latent Gaussian models. It provides a way to perform approximate Bayesian inference that is often more efficient and faster than traditional Markov Chain Monte Carlo (MCMC) methods. INLA has gained popularity due to its applicability in a wide range of statistical models, especially in fields such as spatial statistics, ecology, and epidemiology.
Gaussian process (GP) approximation is a powerful statistical technique utilized primarily in the context of machine learning and Bayesian statistics for function approximation, regression, and optimization. A Gaussian process is a collection of random variables, any finite number of which have a joint Gaussian distribution. It is particularly appealing due to its flexibility in modeling complex functions and the uncertainty associated with them.
A 2D geometric model is a representation of objects or shapes in two dimensions. It consists of points, lines, curves, and surfaces defined within a two-dimensional plane. These models are typically described using coordinates in a Cartesian coordinate system (x, y) or other mathematical representations. 2D geometric models are used in various fields, including: 1. **Computer Graphics**: In digital art and animation, 2D geometric models represent characters, backgrounds, and other visual elements.
Bayesian inference using Gibbs sampling is a statistical technique used to estimate the posterior distribution of parameters in a Bayesian model. This approach is particularly useful when the posterior distribution is complex and difficult to sample from directly. Here's a breakdown of the components involved: ### Bayesian Inference Bayesian inference is based on Bayes' theorem, which updates the probability estimate for a hypothesis as additional evidence is available.
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





