The National Weather Service (NWS) Albany, New York, is a regional office of the National Weather Service, which is part of the National Oceanic and Atmospheric Administration (NOAA). The Albany office is responsible for monitoring and forecasting weather conditions, providing warnings for severe weather events, and disseminating weather-related information for the northeastern United States, particularly the Capital Region of New York, as well as parts of western Massachusetts and southern Vermont.
The National Weather Service (NWS) Buffalo is a local office of the National Oceanic and Atmospheric Administration (NOAA) that provides weather, water, and climate forecasts and warnings for the Buffalo, New York area and surrounding regions. The Buffalo office is responsible for monitoring and predicting weather conditions in Western New York and parts of Pennsylvania. Services include: 1. **Weather Forecasts**: Issuing routine forecasts for various time frames, including short-term and long-term forecasts.
The National Weather Service (NWS) Tulsa is a regional office of the National Weather Service, which is a component of the National Oceanic and Atmospheric Administration (NOAA) in the United States. The NWS Tulsa office provides weather forecasts, warnings, and information for the northeastern part of Oklahoma, as well as parts of Kansas, Arkansas, and Missouri.
Proof by contradiction is a mathematical proof technique used to establish the truth of a statement by assuming the opposite of what is to be proven and showing that this assumption leads to a contradiction. This method is based on the principle of the law of non-contradiction, which states that a statement cannot be both true and false at the same time.
In meteorology, **TEMP** refers to a type of report that contains information about temperature, specifically the temperature profile of the atmosphere at various altitudes. These reports are typically collected from weather balloons, which are equipped with instruments to measure temperature, humidity, and pressure as they rise into the atmosphere.
The Wasserstein metric, also known as the Wasserstein distance or Earth Mover's Distance (EMD), is a measure of the distance between two probability distributions on a given metric space. It originates from the field of optimal transport and has applications in various areas, including statistics, machine learning, and image processing. ### Key Concepts: 1. **Probability Distributions**: The Wasserstein metric is defined for two probability distributions \( P \) and \( Q \) on a metric space.
A distance set is a mathematical concept often used in various fields, including geometry, topology, and combinatorics. It generally refers to a collection of points that are defined based on distances from a set of reference points according to a specific metric. One common context where distance sets are discussed is in the study of geometric configurations. For a given set of points in a metric space, a distance set may contain the pairwise distances between those points.
Falconer's conjecture is a statement in the field of geometric measure theory and combinatorial geometry, primarily concerning the properties of sets of points in Euclidean space, particularly the dimensions of sets and their projections.
The Fréchet distance is a measure of the similarity between two curves in a metric space, often used in the context of comparing shapes or trajectories. It is conceptually similar to the more familiar Euclidean distance, but it takes into account the traversal of the curves themselves, which can be thought of as a "path" distance. To understand the Fréchet distance, imagine two people walking along two separate paths (curves). Each person can decide how quickly to walk along their respective path.
An **ultrametric space** is a specific type of metric space that has a stronger condition than a general metric space. In an ultrametric space, the distance function satisfies the following properties: 1. **Non-negativity**: For any points \(x\) and \(y\), the distance \(d(x, y) \geq 0\).
The Reshetnyak gluing theorem is a result in the field of geometric analysis, particularly in the study of manifold structures and differentiable mappings. It provides conditions under which one can construct a manifold from simpler pieces—specifically in the context of conformal or Lipschitz mappings.
In mathematics, particularly in the field of functional analysis and metric spaces, a subset \( S \) of a metric space \( (X, d) \) is said to be **totally bounded** if, for every \( \epsilon > 0 \), there exists a finite cover of \( S \) by open balls of radius \( \epsilon \).
The term "model-test-model" often refers to a process used in various fields such as machine learning, artificial intelligence, product development, and research. This iterative approach involves creating a model, testing its performance or efficacy, and then refining or re-engineering the model based on the results of the tests. Here are the general steps involved in the model-test-model process: 1. **Model Creation**: Initially, a model is developed based on existing theories, data, or hypotheses.
The Rand Strategy Assessment Center (RSAC) is a part of the RAND Corporation, a nonprofit global policy think tank. The RSAC focuses on strategic analysis and assessment to support decision-making in various areas, such as national security, defense strategy, military operations, and broader policy issues. The center employs advanced analytical techniques, modeling, and simulations to explore emerging trends and challenges in security and strategy.
Graciano Ricalde Gamboa does not appear to be a widely recognized public figure or concept as of my last knowledge update in October 2023. It's possible that he could be a private individual, a local figure, or someone who has gained recognition after that date.
Semiconductor technology refers to the science and engineering behind the design and fabrication of semiconductor devices. Semiconductors are materials that have electrical properties intermediate between conductors (like metals) and insulators (like rubber). The most common semiconductor material is silicon, but other materials, such as germanium and gallium arsenide, are also used.
José Antonio Villaseñor y Sánchez may refer to a historical figure or a public personality, but there isn’t a widely known individual by that exact name as of my last knowledge update in October 2023. If you are referring to a specific person, event, or context related to this name, please provide more details.
Monica Olvera de la Cruz is a prominent physicist and professor known for her research in the fields of mathematical physics, materials science, and condensed matter physics. She is recognized for her work on molecular systems, polymers, and nanomaterials, often using simulation techniques to study the properties and behaviors of these materials. Her contributions to the scientific community include numerous publications in reputable journals and involvement in various research projects.
Mexican nuclear physicists are scientists and researchers in Mexico who specialize in the field of nuclear physics, which is the study of atomic nuclei, their components, and the interactions between them. This field covers a wide range of topics, including nuclear reactions, nuclear decay, and the properties of nuclear matter.
CEA-Leti, or the "Laboratoire d'électronique des technologies de l'information," is a research institute located in France, part of the CEA (Commissariat à l'énergie atomique et aux énergies alternatives). It specializes in microelectronics and nanotechnology, focusing on the development of advanced electronic components and systems. CEA-Leti engages in research and innovation across a wide range of fields, including sensors, photonics, semiconductors, and smart systems.

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