Geodesy is the scientific discipline that deals with the measurement and representation of the Earth's geometric shape, orientation in space, and gravity field. The history of geodesy spans several millennia and can be divided into several key phases and developments: ### Ancient Period - **Early Measurements**: Geodesy has roots in ancient civilizations. The Egyptians and Babylonians made early attempts to measure distances and areas for agriculture and land ownership.
The Irish Transverse Mercator (ITM) is a geographical coordinate system used for mapping and spatial data in Ireland. It is based on the Transverse Mercator projection and is specifically tailored to minimize distortion across the island of Ireland. ### Key Features: 1. **Projection Type**: ITM is a cylindrical map projection that is particularly useful for areas with a greater north-south extent relative to their east-west extent. This allows for better accuracy in representing the geographical features of Ireland.
A truth table is a mathematical table used to determine the truth values of logical expressions based on their inputs. It systematically lists all possible combinations of input values and the corresponding output values for a given logical expression or function. Truth tables are commonly used in digital electronics, computer science, and formal logic to analyze the behavior of logical statements and circuits. Here are the key components of a truth table: 1. **Variables**: Inputs may be represented by variables (e.g.
Lunar distance, in the context of navigation, refers to the distance between the Earth and the Moon, which is an important reference point in celestial navigation. Specifically, "lunar distance" can denote a method used by navigators in the past to determine their position at sea using the angle between the Moon and another celestial body, typically a star or the Sun. Historically, navigators would measure the angular distance between the Moon and a known star at a specific time.
Photogrammetry is a technique that involves capturing and interpreting photographic images to measure and analyze objects and landscapes in three dimensions. It uses photographs taken from different angles and positions to create accurate representations of the physical world, allowing for the extraction of spatial information. Key aspects of photogrammetry include: 1. **Data Acquisition**: Photogrammetry typically utilizes digital cameras, drones, or aerial platforms to capture images. The images should overlap to ensure accurate measurement.
A Spatial Reference System (SRS), also known as a Coordinate Reference System (CRS), is a system that provides a framework for spatial data to be identified, measured, and analyzed. It defines how geographic data is represented in a coordinate system and relates it to real-world locations. Here are some key components and concepts related to spatial reference systems: 1. **Coordinate System**: A spatial reference system uses a coordinate system to specify how points in space are represented.
Stevens's power law is a principle in psychophysics that describes the relationship between the physical intensity of a stimulus and the perceived intensity of that stimulus. Formulated by psychologist S. S.
The discursive dilemma refers to a situation in which a group of individuals faces a conflict between collective decision-making and the rational aggregation of individual judgments or beliefs. It often arises in contexts where decisions depend on multiple propositions or issues, leading to potentially inconsistent outcomes if individual judgments are combined in certain ways. The classic example involves a group's decision on whether or not to accept a set of propositions based on the majority opinions of group members.
As of my last update in October 2023, I'm not familiar with any widely recognized concept or product called "Booleo." It's possible that it could refer to a brand, product, service, or term that has emerged or become popular after that date, or it could be a niche term that isn't widely documented.
Percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions or to describe how much of a whole is represented by a given quantity. The symbol for percentage is "%". For example, if you have 25 out of 100 apples, you can express this as 25%. This means that 25 apples represent 25 percent of the total 100 apples.
In electronics, an adder is a digital circuit that performs addition of binary numbers. Adders are fundamental building blocks in arithmetic logic units (ALUs) and are widely used in various computing systems, such as microprocessors and digital signal processors. There are several types of adders, each with different characteristics and purposes: 1. **Half Adder**: A basic adder that adds two single-bit binary numbers. It has two outputs: the sum (S) and the carry (C).
Chunking is a cognitive strategy often used in learning and memory that involves breaking down information into smaller, more manageable units or "chunks." This technique is particularly useful when dealing with large amounts of data, as it makes it easier to process, understand, and remember the information. In the context of division or mathematics, chunking can refer to a method of dividing numbers by breaking the problem down into simpler, smaller parts.
Real numbers are a set of numbers that include all the numbers on the number line. This set encompasses several categories of numbers, including: 1. **Natural Numbers**: The positive integers starting from 1 (e.g., 1, 2, 3, ...). 2. **Whole Numbers**: Natural numbers plus zero (e.g., 0, 1, 2, 3, ...).
The term "tanhc" does not seem to refer to a well-known mathematical function or concept. However, it could be a typographical error or a misunderstanding related to the "tanh" function.
The Schröder–Bernstein theorem is a fundamental result in set theory concerning the sizes of sets, particularly in relation to their cardinalities. It states that if there are injective (one-to-one) functions between two sets \( A \) and \( B \) such that: 1. There exists an injective function \( f: A \to B \) (embedding of \( A \) into \( B \)), 2.
A Suslin cardinal is a large cardinala concept in set theory—characterized by certain properties related to the structure of the continuum and well-ordering. Specifically, a cardinal \( \kappa \) is called a Suslin cardinal if: 1. \( \kappa \) is uncountable. 2. There is a family of subsets of \( \kappa \) that is of size \( \kappa \), with each subset being a subset of \( \kappa \).
The Von Neumann cardinal assignment, also known as the Von Neumann cardinal numbers, is a way of representing cardinal numbers (which measure the size of sets) using well-defined sets in the context of set theory. In this framework, each cardinal number is identified with the set of all smaller cardinals. ### Definition: - A **cardinal number** is defined using ordinals in set theory.

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