mathematics, the annulus theorem (formerly called the annulus conjecture) states roughly that the region between two well-behaved spheres is an annulus. It is closely...
6 KB (671 words) - 06:14, 12 January 2024
shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is...
4 KB (567 words) - 07:43, 13 February 2024
3-manifold (section Annulus and Torus theorems)
cobound a properly embedded annulus. This should not be confused with the high dimensional theorem of the same name. The torus theorem is as follows: Let M be...
45 KB (5,836 words) - 09:37, 24 April 2024
homeomorphism of an annulus that rotates the two boundaries in opposite directions has at least two fixed points. The Poincaré–Birkhoff theorem was discovered...
2 KB (207 words) - 05:51, 14 January 2024
{bh^{3}}{12}}+{\frac {hb^{3}}{12}}={\frac {bh}{12}}\left(b^{2}+h^{2}\right)} Consider an annulus whose center is at the origin, outside radius is r 2 {\displaystyle r_{2}}...
16 KB (2,736 words) - 00:04, 5 July 2024
Seifert–Van Kampen theorem of algebraic topology (named after Herbert Seifert and Egbert van Kampen), sometimes just called Van Kampen's theorem, expresses the...
20 KB (3,357 words) - 22:16, 5 June 2024
quantum mechanics, the Byers–Yang theorem states that all physical properties of a doubly connected system (an annulus) enclosing a magnetic flux Φ {\displaystyle...
3 KB (556 words) - 05:04, 10 October 2023
shell theorem gives gravitational simplifications that can be applied to objects inside or outside a spherically symmetrical body. This theorem has particular...
30 KB (5,993 words) - 06:44, 21 August 2024
Pappus's centroid theorem (also known as the Guldinus theorem, Pappus–Guldinus theorem or Pappus's theorem) is either of two related theorems dealing with...
14 KB (2,362 words) - 20:28, 21 May 2023
Laurent series (redirect from Laurent expansion theorem)
z ) {\displaystyle f(z)} will then be valid anywhere inside the annulus. The annulus is shown in red in the figure on the right, along with an example...
16 KB (2,710 words) - 16:18, 14 August 2024