The converse fails, since generally the cylinder sets will only form a subbase ( and not a base ) for the initial topology.
22.
This intersection is called a " cylinder set ", and the set of all such cylinder sets provides a basis for the product topology.
23.
This intersection is called a " cylinder set ", and the set of all such cylinder sets provides a basis for the product topology.
24.
The cylinders are then the generators for the cylinder sets : the cylinder sets then consist of all intersections of a finite number of cylinders.
25.
The cylinders are then the generators for the cylinder sets : the cylinder sets then consist of all intersections of a finite number of cylinders.
26.
A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector space " E ".
27.
The canonical Gaussian cylinder set measure on an infinite-dimensional separable Hilbert space " H " does not correspond to a true measure on " H ".
28.
An alternative proof that the Gaussian cylinder set measure is not a measure uses the Cameron Martin theorem and a result on the quasi-invariance of measures.
29.
A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector space " E ".
30.
The new SS100 has a 997cc, dohc V-twin engine developed and built with French specialists Akira Engineering of Bayonne, with cylinders set at 88 degrees and produces.
