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Given an eigenvalue λ, every corresponding Jordan block gives rise to a Jordan chain of linearly independent vectors p i, i = 1, ..., b, where b is the size of the Jordan block. The generator , or lead vector , p b of the chain is a generalized eigenvector such that ( A − λ I ) b p b = 0.
Let () (that is, a n × n complex matrix) and () be the change of basis matrix to the Jordan normal form of A; that is, A = C −1 JC.Now let f (z) be a holomorphic function on an open set such that ; that is, the spectrum of the matrix is contained inside the domain of holomorphy of f.
Most of the East Bank receives less than 120 millimeters (4.7 in) of rain a year and may be classified as a dry desert or steppe region. Where the ground rises to form the highlands east of the Jordan Valley, precipitation increases to around 300 millimeters (11.8 in) in the south and 500 millimeters (19.7 in) or more in the north.
In mathematics, the Peano–Jordan measure (also known as the Jordan content) is an extension of the notion of size (length, area, volume) to shapes more complicated than, for example, a triangle, disk, or parallelepiped. It turns out that for a set to have Jordan measure it should be well-behaved in a certain
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Air Jordan is a line of basketball shoes produced by Nike, Inc. Related apparel and accessories are marketed under Jordan Brand.. The first Air Jordan shoe was produced for basketball player Michael Jordan during his time with the Chicago Bulls on November 17, 1984, and released to the public on April 1, 1985.
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