PostBQP is a complexity class in computational theory that extends the class BQP (Bounded-error Quantum Polynomial time). It pertains to problems solvable by a quantum computer with bounded error, but with added flexibility for the kinds of quantifiers allowed in decision problems. The "Post" in PostBQP refers to the use of quantifier alternation, similar to how the class PSPACE works with alternating quantifiers.
Pseudorandom generators for polynomials are a class of algorithms or mathematical constructions that produce sequences that appear random, based on a smaller set of initial values (or "seeds") while remaining efficiently computable. In the context of polynomials, these generators are used to create outputs that can simulate the behavior of random polynomial evaluations.
Pseudorandom noise (PRN) is a deterministic sequence of numbers that appears to be random but is generated by a predictable algorithm. This means that while the sequence may have properties similar to truly random noise, it can be reproduced exactly if the initial conditions (often referred to as the seed) are known. PRN is commonly used in various applications, particularly in fields such as communications, cryptography, and simulations. **Key Characteristics of Pseudorandom Noise:** 1.
Apophenia is the tendency to perceive meaningful patterns or connections in random or unrelated information. It is a cognitive phenomenon where individuals see patterns, such as shapes in clouds, or connections between events that are not statistically related. Apophenia can lead to insights or creativity, but it can also contribute to misconceptions and beliefs in superstitions or conspiracy theories. In psychology, it highlights how human cognition can sometimes misinterpret randomness or chance, leading us to find significance in the meaningless.
The Community Earth System Model (CESM) is a comprehensive, modular climate model developed by the National Center for Atmospheric Research (NCAR) and a collaborative community of scientists. CESM is designed to simulate the interactions between the Earth's various climate systems, including the atmosphere, oceans, land surface, and sea ice. Key features of CESM include: 1. **Modularity**: CESM is built on a flexible framework that allows different components to be easily coupled.
Downscaling is a process used primarily in climate science, meteorology, and various fields of environmental modeling to derive high-resolution information from lower-resolution data. It aims to provide detailed insights into local or regional conditions based on broader, coarse-scale predictions. There are two main types of downscaling: 1. **Dynamic Downscaling**: This involves using high-resolution climate models in conjunction with lower-resolution global climate models (GCMs).
The Environmental Modeling Center (EMC) is a component of the National Oceanic and Atmospheric Administration (NOAA) that focuses on the development, implementation, and improvement of environmental models and modeling systems. It plays a crucial role in advancing the understanding and predictions of various environmental phenomena, such as weather, climate, oceans, and ecosystems. The EMC is involved in: 1. **Model Development**: Creating and maintaining numerical models that simulate atmospheric and oceanic processes.
Land Surface Models (LSMs) are computational tools used in climate science to simulate and understand the interactions between the land surface and the atmosphere. They represent various physical, biological, and chemical processes that occur in terrestrial environments, contributing to the exchange of energy, moisture, and carbon between the land and the atmosphere.
The Living Earth Simulator (LES) project is an ambitious initiative aimed at creating a comprehensive computational model of the Earth's social, economic, and environmental systems. Launched by the International Institute for Applied Systems Analysis (IIASA) and involving various interdisciplinary teams, the project seeks to simulate the complex interactions within global systems.
A time-varying microscale model is a type of simulation or analytical framework used to study systems where the characteristics or behavior of individual components change over time, particularly at a small, localized scale (microscale). These models are commonly employed in various fields, including physics, engineering, biology, and social sciences, to understand complex dynamics in systems where time-dependent factors play a crucial role.
Nuclear Magnetic Resonance (NMR) software refers to a range of computing applications and tools used to acquire, process, analyze, and interpret data from NMR spectroscopy experiments. NMR is a powerful analytical technique used primarily in chemistry and biochemistry for determining the structure of organic compounds, studying molecular dynamics, and characterizing complex mixtures.
Simulation software is a type of computer program designed to imitate real-world processes, systems, or environments. It allows users to create models that replicate the dynamics and behaviors of various entities, which can be anything from physical objects and biological processes to complex systems like financial markets or logistics networks. Here are some key features and purposes of simulation software: 1. **Modeling**: Users can create detailed models of the systems they wish to study.
CoNTub, short for "Conjugated Nano Tubes," is a term that can refer to a type of nanostructure made up of carbon nanotubes (CNTs). These structures can have various configurations and properties depending on how they are synthesized and modified. Carbon nanotubes are known for their exceptional strength, electrical conductivity, and thermal properties, making them valuable in a range of applications, including materials science, electronics, and nanotechnology.
Crystallography and Nuclear Magnetic Resonance (NMR) spectroscopy are two powerful techniques used in the field of structural biology and chemistry to determine the structures of molecules, particularly proteins, nucleic acids, and other complex biomolecules. ### Crystallography **X-ray Crystallography** is a technique used to determine the atomic and molecular structure of a crystal. Here's how it works: 1. **Crystal Formation**: The first step involves growing a suitable crystal of the substance of interest.
HR software, or Human Resources software, refers to a suite of tools and applications designed to streamline and automate various HR functions within an organization. These functions can include recruitment, employee onboarding, payroll, performance management, benefits administration, time and attendance tracking, and employee data management, among others.
Gaston Gonnet is a notable figure in the field of computer science, particularly recognized for his contributions to algorithms and data structures. He is a professor and researcher affiliated with institutions like the University of Alberta and has worked on various topics, including information retrieval, data mining, and theoretical computer science. Gonnet is also known for his involvement in developing the Gonnet-Trie, a data structure used for efficient string searching and manipulation.
A dodecagonal number is a figurate number that represents a twelve-sided polygon, known as a dodecagon. The \(n\)-th dodecagonal number can be calculated using the formula: \[ P_{12}(n) = 6n^2 - 6n + 2 \] where \(P_{12}(n)\) denotes the \(n\)-th dodecagonal number.
DESMO-J (DEScription MOdeling in Java) is a software framework designed for modeling and simulating discrete-event systems. It is primarily used for research and educational purposes, enabling users to create complex simulations that can reflect real-world processes. The framework is implemented in Java, which allows it to be platform-independent. Key features of DESMO-J include: 1. **Modeling Framework**: It provides a structured environment for defining entities, resources, and processes within a simulation model.
SMS (Surface-water Modeling System) is a software application developed by Aquaveo for the modeling and analysis of surface water systems. It is designed to assist hydrologists and engineers in simulating water flow, sediment transport, and water quality in rivers, lakes, and coastal environments.
Mary Silber is a noted figure, particularly in the field of applied mathematics and statistics. She is known for her work in areas such as statistical modeling, scientific computing, and data analysis. Silber has contributed to the understanding of complex systems and has been involved in both academic research and education. In addition to her research contributions, she is often recognized for her roles in various educational and professional organizations.

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