Erosion in the context of morphology refers to the process by which the structure or form of objects, particularly in the field of linguistics and morphology, undergoes gradual changes or reductions over time. In linguistics, morphology is the study of the internal structure of words, and erosion typically involves the simplification or loss of certain morphological features. For example, as languages evolve, complex word forms may become simplified.

Raster graphics, also known as bitmap graphics, are images composed of a grid of individual pixels, where each pixel represents a specific color. This pixel-based approach means that raster images are resolution-dependent; their quality is determined by the number of pixels in the image (measured in resolution, such as DPI or PPI). Common formats for raster graphics include JPEG, PNG, GIF, and BMP.

Thinning in the context of mathematical morphology is a morphological operation used primarily in image processing and computer vision. It is a technique that reduces the thickness of objects in a binary image while preserving their connectivity and shape. The goal of thinning is to simplify the representation of features in an image, often used for tasks like shape analysis, object recognition, or preprocessing for further analysis.

Doignon's theorem is a result in the area of combinatorial geometry and specifically deals with the properties of finite sets of points in the Euclidean plane. It is sometimes described in the context of configuration spaces and combinatorial geometry. The theorem states that for any finite set of points in the plane, there exists a distinct set of lines such that the intersection of any two lines contains exactly one point from the original set.

The Niemeier lattices are a specific family of 24 even unimodular lattices in 24-dimensional space. They are named after the mathematician Hans Niemeier, who classified them in the 1970s. These lattices play an important role in various areas of mathematics, including number theory, geometry, and the theory of modular forms, as well as in theoretical physics, particularly in string theory and the study of orbifolds.

P-adic numbers are a system of numbers used in number theory that extend the classical notion of integers and rationals to include a different form of "closeness" or convergence. The term "p-adic" refers to a prime number \( p \), and the concept is based on an alternative metric or valuation defined by \( p \).

This vocabulary likely entered Ciro Santilli's vernacular through playing Counter-Strike when he was a teenager.

Used to identify organic compounds.

Seems to be based on the effects that electrons around the nuclei (shielding electrons) have on the outcome of NMR.

So it is a bit unlike MRI where you are interested in the position of certain nuclei in space (of course, these being atoms, you can't see their positions in space).

The number 511 can refer to various things depending on the context: 1. **Mathematics**: As a whole number, 511 is simply the integer that comes after 510 and before 512. It is an odd number. 2. **Emergency Services**: In some regions, 511 is a telephone service that provides travelers with information about road conditions, traffic, and other travel-related updates.

A quadratic field is a specific type of number field that is generated by adjoining a square root of a rational number to the field of rational numbers, \(\mathbb{Q}\). More formally, a quadratic field can be expressed in the form: \[ K = \mathbb{Q}(\sqrt{d}) \] where \(d\) is a square-free integer (an integer not divisible by a perfect square greater than 1).

TODO experimental discovery.

Not "Yt" because that is already "Yttrium". God.

An alloy of iron and carbon. Because such allys have had such incredible historical importance due to their different properties, different phases of Fe-C have well known names such as steel