Indeed, if there is some (-1)-curve, say C, in Exc(f), then by Castelnuovo's theorem
, contracting this (-1)-curve in X/[X.
Observe that if in Theorem
12 we have m = n = 1, the statement of Theorem
12 becomes the statement of Theorem
3 in .
Emami, A fixed point theorem
for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Anal.
9] proved the following theorem
as a corollary of a theorem
on triangle-free Euler tours in connected 4-regular graphs.
This will prove the theorem
for this case because by Theorem
16 the problem of determining if P4 decomposes a (6m + 1)-regular graph is NP-Complete for all m [less than or equal to]1.
has offices in more than 30 countries worldwide, offering expertise in a range of therapeutic areas and all phases of development.
It was the first major theorem
to be proved using a computer.
Spanning nearly 8 months during 2014, the Theorem
team organised supplier days and seminars to help to inform and educate users from the engineering, manufacturing and design communities who use CAD and Visualization tools.
Szasz (1935) generalized Littlewood's theorem
(LITTLEWOOD, 1911) which states that if ([s.
For this version, all users must ensure that they have upgraded their license to the Theorem
Solutions version 17.
Capacity Theory With Local Rationality: The Strong Fekete-Szego Theorem
The following two theorems
generalize [3, Theorem
If 1 + [alpha] [less than or equal to] 0, then the theorem
Abstract: This article examines the debate over the Coase theorem
that played out in the Economic Record during the 1970s.
Altun: Some generalizations of Caristi type fixed point theorem
on partial metric spaces, Filomat, 26(2012), No.