Middle names are a weird custom.

It's like a semi-secret part of your name that you only randomly use sometimes, and usually only in initials, and which no one else knows except your family.

It is as if the Anglo-Saxons were preparing for a real world Death Note attack I know your true name-style.

In set theory and mathematics, an "opaque set" is not a standard or commonly used term. However, the concept of an opaque set might be used informally in certain contexts to refer to a set whose elements or the properties of which are not fully transparent or visible, or whose characteristics cannot be easily discerned. If you're encountering the term "opaque set" in a specific mathematical context, programming language, or another field, it may have a specialized meaning.

The orchard-planting problem is a problem in optimization typically found in operations research and mathematical programming. It involves the strategic placement of trees or plants in an orchard to maximize certain objectives while adhering to constraints. The problem can vary in its specifics, but it often includes considerations like: 1. **Maximizing Yield**: The primary goal is often to maximize the yield of fruits or nuts from the planted trees. This can depend on factors like tree density, spacing, and compatibility between different species.

Packing density, often referred to in contexts such as materials science, chemistry, and physics, is a measure of how densely a certain volume is filled with particles, such as atoms, molecules, or other small entities. It is typically expressed as a ratio or a percentage, quantifying the proportion of space occupied by the particles in comparison to the total available space.

Quaquaversal tiling refers to a type of tiling pattern that exhibits a unique property of being the same regardless of the orientation from which it is viewed. The term "quaquaversal" is derived from a Latin term meaning "going in all directions," and in the context of tiling, it denotes a pattern that extends outward in multiple directions from a central point.

Euphemisms are evil bullshit.

Just say what you mean to say,

Don't be a pussy.

If you've been fired, say you been fired, not "let go".

If someone died, say they died, not "passed away".

When talking in the context of programming languages, natural language is the non-computer one.

Remember: having more than one natural language is bad for the world.

In graph theory, a **regular map** is a specific type of graph that satisfies certain symmetrical properties related to vertex and face structure.

Sphere packing in a cylinder refers to the arrangement of spheres (or solid balls) within a cylindrical space in a way that maximizes the number of spheres that can fit inside the cylinder. This is a specific case of a more general problem in the field of discrete geometry and optimization, where the goal is to understand how to efficiently pack objects in given volumes.

By Ciro Santilli:

By others:

"Squaring the square" refers to a mathematical problem in tiling, specifically involving the arrangement of squares within a square. The challenge is to subdivide a larger square into smaller squares, all of different sizes, such that there are no gaps or overlaps. The most famous solution to this problem was found by the mathematician Henry Dudeney in 1907. He created a square that was subdivided into 36 smaller squares, all of which were of distinct sizes.

1959 by Voice of America.

A Pythagorean quadruple is a set of four positive integers \( (a, b, c, d) \) such that the sum of the squares of the first three integers equals the square of the fourth integer.

Proof by infinite descent is a mathematical proof technique that is particularly effective in certain areas, such as number theory. It is based on the principle that a statement is true if assuming its negation leads to an infinite sequence of cases that cannot exist in practice. The idea can be summarized as follows: 1. **Assumption of Negation**: Start by assuming that there exists a solution (or an example) that contradicts the statement you are trying to prove.

A homogeneous tree is a concept primarily used in the context of graph theory and information theory. It generally refers to a type of tree data structure in which all branches, levels, or nodes are uniformly structured or exhibit a consistent pattern. This can mean several things depending on the specific application or context: 1. **In Graph Theory**: A tree is considered homogeneous if every node has the same number of children.