Báo cáo toán học: "Ergodic theory and the functional equation (I - T)x = y " pps

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Ngày tải lên: 05/08/2014, 15:20

... S m and σ ∈ S n , we define their direct sum, written π ⊕σ by (π ⊕σ )(i) =  (i) ifi ∈ [m], (i − m)+m if i ∈ [m + n] \[m], and similarly define their skew sum by (π σ )(i) =  (i) +n if i ∈ [m], (i ... ⊕ 2 21 = 2143, so C is a subclass of the skew-merged permutations and thus every permutation in C may be covered by 4 monotonic rectangles and we may take...

Ngày tải lên: 07/08/2014, 13:21

... R f (Y ) and the set  Y f are respectively called asymptotic Cheby- shev radius and asymptotic Chebyshev center of {Y m } ∞ m=0 = {f m (Y )} ∞ m=0 with respect to Y . Further, define  Y f,n =  x ... Assume further that Y has normal structure. Then every isometry f : Y → Y has a fixed point in  Y . Proof. The convexity of Y guarantees that every isometry...

Ngày tải lên: 20/06/2014, 20:20

... 19 10 -5 10 0 10 5 -4 5 -4 0 -3 5 -3 0 -2 5 -2 0 -1 5 -1 0 -5 0 frequency, rads/s Magnitude, dB 10 -5 10 0 10 5 -6 0 -4 0 -2 0 0 20 40 60 frequenc y , rads/s Angle, degrees Figure 6 Bode plot of the system X(s) U(s) = 1 ln 2 (s)+4 . Hartley ... for n =0 ,givesthe plot of Figure 4. The stability boundary in the s-plane is the imagin...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... obviously j > 1. Therefore we can take C 1 = D j and F 2 equal to any flower containing D j−1 and such that σ(F 2 ) = σ(F  ). Then C 1 and F 2 will satisfy (i) and (ii). To complete the proof of the ... 2.2 and 2.4 is replaced by 2 in the following axioms 3.5 and 3.7. Throughout the paper we shall use the notation r for a 2-matroid, ρ for a 2-polymatroid,...

Ngày tải lên: 07/08/2014, 06:20

... particularly the theory of Young tableaux. The representation theory aspects are covered in [13]; section 5.1.4 in [8] gives a good treatment of the more elementary Young tableaux results. The results ... element of the tableaux, then move the lesser of the element immediately below and the element immediately to the right into the vacated spot, and continue until...

Ngày tải lên: 07/08/2014, 06:22

... Fulton. Young Tableaux; With Applications to Representation Theory and Ge- ometry,vol.35ofLondon Mathematical Society Student Texts. Cambridge University Press, New York (1997). [11] I. P. Goulden and ... nonnegativity and the Bruhat order Brian Drake, Sean Gerrish, Mark Skandera Dept. of Mathematics, Brandeis University MS 050, P.O. Box 9110, Waltham, MA 02454 bdrake@math.brandeis....

Ngày tải lên: 07/08/2014, 08:22