Schnabl
... Therefore in this class of solutions, the trivial ones are those for which F2(0) ≠ 1. Tachyon vacuum solutions are those for which F2(0) = 1 but the zero of 1-F2 is first order When the order of zero of 1-F2 at K=0 is of higher order the solution is not quite well defined, but it has been conjecture ...
... Therefore in this class of solutions, the trivial ones are those for which F2(0) ≠ 1. Tachyon vacuum solutions are those for which F2(0) = 1 but the zero of 1-F2 is first order When the order of zero of 1-F2 at K=0 is of higher order the solution is not quite well defined, but it has been conjecture ...
Introduction to Polynomial Functions and Their Graphs
... less than or equal to one less than the degree of a polynomial. ...
... less than or equal to one less than the degree of a polynomial. ...
ON THE ISOMETRIES OF CERTAIN FUNCTION
... μ(TA Π TB) = 0. Consequently T(A U B) = TA U TB to within a set of measure zero, and the extension to denumerable sums follows from the continuity of U. In particular, except for sets of measure zero, TX = TA U T(X - A) and the latter are disjoint, so that T(X - A) = TX- TA. Thus the mapping T satis ...
... μ(TA Π TB) = 0. Consequently T(A U B) = TA U TB to within a set of measure zero, and the extension to denumerable sums follows from the continuity of U. In particular, except for sets of measure zero, TX = TA U T(X - A) and the latter are disjoint, so that T(X - A) = TX- TA. Thus the mapping T satis ...
