non-Euclidean geometry, literallyany geometry that is not the same as Euclidean geometry. Although the term is frequently used to refer only to hyperbolic geometry, common usage includes those few geometries (h
But the non-commutative complex algebra of quantum observables does prevent you from using classical probability theory since it prevents realising the observables as random variables on a common probability space. Really? Put the Hilbert space of QT states as your state space ...
What is torsion in differential geometry? Is differential geometry Euclidean? What is computational algebraic geometry? Discuss some contemporary applications of geometry. What does edge of regression mean in differential geometry? What is the differential of a wedge product?
Hyperbolic geometry is a non-Euclidean geometry. It is formed by assuming all of Euclid's postulates except the fifth one. Instead, it was replaced by the statement, 'For any line L and point P not in L, there are at least two distinct lines passing through P that do not intersect L'...
Having a finite sequence of length \(k\) for every \(k\) does not mean to have one infinite sequence. Nana:: I don’t understand a word! Fortune:: Ok, let me explain. We have a quite interesting issue here, and I’m sure you can understand the problem. We are interested in seq...
You might be thinking of some mapping of Galilean relativity to Euclidean geometry; I don't know. In any case, it sounds like we agree that looking at a diagram by itself lends no insight about invariants. robphy said: I'm not sure what you mean here. If what you say [whatever ...
A flat universe has Euclidean geometry, and the simplest shape it can adopt is that of a sheet. There are also other, more complex shapes that a flat universe could have, such as a "3-torus." How to measure the shape of the universe ...
But it does mean that mathematics is, today, built upon abstract concepts whose relationship with real experiences is useful but not essential. These abstractions mean that mathematical fact is now established without reference to empirical reality. It may certainly be influenced by this reality, as...
What is the difference between Euclidean and non-Euclidean geometry? What is math grammar? What is the arithmetic mean of the following numbers: 2, 3, 3, 7, 11, 10, 3, 5, 0, 6 How many integers belong to the arithmetic sequence 13, 20, 27, 34, ... 2008? What did Euclid contri...
What does it mean to encircle something? To encircle something means to surround it or form a circle around it. 12 Can encircle have a metaphorical meaning? Yes, to encircle can also mean to encompass or include in a non-physical sense. 10 Is encircling always a physical action? Not neces...