Feb 2, 2005 · The discussion clarifies the meanings of various mathematical symbols related to the equals sign. The equals sign with a dot above it (denoted as \doteq) signifies 'is nearly …

Dec 17, 2024 · Modal Geometry and Philosophy When asked about the difference between geometry and topology we could simply answer by 2,400 years of mathematics. Whereas …

Aug 30, 2006 · The discussion centers on the concept of the line element in a general orthogonal coordinate system, represented mathematically as ds² = f² du² + g² dv² + h² dw². Participants …

Nov 29, 2012 · The upside down capital T means <perpendicular>, both in elementary geometry and in linear algebra (or functional analysis). A to the power T upside dowm is the subset B of …

Dec 19, 2016 · In fact, Schwarzschild coordinates are not a single coordinate chart on this spacetime; each of the four regions, I, II, III, and IV, has its own Schwarzschild coordinate …

Mar 13, 2025 · Vector spaces are often described as a set of arrows, i.e. a line segment with a direction that can be added, stretched, or compressed. That's where the term linear to …

Oct 28, 2011 · The equation of a line, f (x) = ax + b, is confirmed to yield a constant slope, represented by the derivative f' (x) = a. The conversation also touches on the foundational …

May 21, 2017 · So, it seems that a definition of a straight-line is circular, so to speak, because the configuration of that shape that forms the shortest distance between two points (that is, a …

Oct 15, 2020 · The discussion centers on the existence of straight lines in the universe, particularly in the context of geometry and physics. Participants clarify that while Euclidean …

Jul 20, 2015 · Spacetime Geometry Now consider a “spacetime diagram” of the apple, where time is plotted on one axis and the apple’s vertical position is plotted on the other axis. In such a …