Báo cáo toán học: "Calculuses, annihilators and hyperinvariant subspaces " doc

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 10:20

... [37], Multivision [26], partizan octal and subtraction games [38] and extensions of Conway’s ‘short games’ [52]. He has been especially interested in annihilation games [10, 53, 54, 56] and in games using Cedric ... workshops, conferences and seminars – he displayed 11 different games at the 1986 Strens Memorial Conference in Calgary [21], and was on the organizing committee of both...

Ngày tải lên: 07/08/2014, 06:23

... C whose support contain elements of E  , and then shortening by E  .NotethatC \ E  and C/E  are subspaces of E\E  q and that M C\E  = M C \ E  and M C/E  = M C /E  . Any code C  obtained ... cases are similar, and R g,h satisfies conditions 1 and 2. The conditions 1, 2, and 3 recursively define R g,h , which proves the uniqueness of the function R g,h . Suppose that g(...

Ngày tải lên: 07/08/2014, 06:23

... n.LetI B and I S be subsets of [k] and let B = {C i : i ∈ I B } and S = {C i : i ∈ I S }. We refer to the sets B and S as the bases and summits of G respectively. A set C i ∈BiscalledabaseofG and ... line, and then we connect n to the lefthand endpoint of the first cycle, the righthand endpoint of each cycle to the lefthand endpoint of the cycle following it, and we connect the...

Ngày tải lên: 07/08/2014, 06:23

... follows from Theorem 2 and item 4 above. ✷ Corollary 1 There exists a partition of n with BG-rank = j if and only if j + n is even and j(2j − 1) ≤ n. 4 Congruences Berkovich and Garvan’s motivation ... combinatorics 13 (2006), #N18 2 References [1] Alexander Berkovich and Frank Garvan, On the Andrews-Stanley refinement of Ra- manujan’s partition congruence modulo 5 and generalizati...

Ngày tải lên: 07/08/2014, 13:21

... 0) and (i, 1), and between (i, b) and (i, b+1), for each i ∈ [a], and vertically between (0, j) and (1, j), and between (a, j) and (a+1, j), for each j ∈ [b], and to include in each path P k the ... Lexicographic and Antilexicographic Ordering Pairs In this section, the lexicographic and antilexicographic ordering pairs ( ˆ L, <) and ( ˇ L, >), with ˆ L and ˇ L d...

Ngày tải lên: 07/08/2014, 15:22

... measurements, and drafted the manuscript. CY conducted the STEM measurement. SZ, TH, and GH conducted the MBE growth. JH, WW, and CH coordinated the study. WL provided the idea and conceived ... identified as the indirect transition from the InGaAs conduction band to the GaSb hole level (type-II) and the GaSb QDs direct interband transition (type-I) respectively, as shown in Fi...

Ngày tải lên: 20/06/2014, 20:20

... concentrations become light yellow, and the color becomes deeper and deeper with increasing Mn. The phase purity and crystal structure of the pristine ZnO and Mn-doped ZnO for various doping ... in the absorption band edge with increasing dopant concentration, and corresponding photoluminescence spectra show that Mn doping suppresses both near-band edge UV emission and defect-...

Ngày tải lên: 20/06/2014, 20:20

... noncon- vexity in X and {Y n } ∞ n=1 is the decreasing sequence of nonempty, closed, and bounded subsets of X defined by Y 1 = f(Y ), Y n+1 = f(Y n ) (n ∈ N). Proposition 3.2. Let Y be a nonempty and weakly ... point theorems for con- densing and nonexpansive maps will be proved. 3.1. Condensing maps. Definition 3.3. Let Y be a nonempty and bounded subset of a Banach space X, and le...

Ngày tải lên: 20/06/2014, 20:20