Báo cáo toán học: "Submanifolds with Parallel Mean Curvature Vector Fields and Equal Wirtinger Angles in Sasakian Space Forms" potx

... ρ 0,2 k x  2 2k1 t  2.8 Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009, Article ID 527462, 9 pages doi:10.1155/2009/527462 Research Article Stability of Mixed Type Cubic and Quartic Functional ... Jalili, R. Saadati, and S. M. Vaezpour, “On the stability of cubic mappings and quadratic mappings in random nor...

Ngày tải lên: 22/06/2014, 02:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21

... question in contact geometry, i.e., closed submanifolds with equal Wirtinger angles and parallel mean curvature vector fields, immersed into a Sasakian space form, and obtain the following: Theorem ... 149–160 Submanifolds with Parallel Mean Curvature Vector Fields and Equal Wirtinger Angles in Sasakian Space Forms * Guanghan Li School of Mat...

Ngày tải lên: 06/08/2014, 05:20

... augment the automaton with green and amber plates, a dictionary, and a notepad. The dictionary contains a chosen representative of each equivalence class of rise-fall sequences. Metaphor- ically, the ... natural to associate with a data structure the collection of such permutations which it can realize. Furthermore, most natural data structures have a hereditary property. That i...

Ngày tải lên: 07/08/2014, 07:21

... absence of each character, is distinct. Note that (2/3 − d ) d ≤ C (d) 1 ≤ (2 +  d ) d , for some  d → 0. 3 Strings with maximally many distinct substrings We close with a solution to a simpler ... string, but for d = 2 no such infinite string exists. 2 Strings with maximally many distinct subsequences Let Σ be a finite alphabet of size d; without loss of generality we t...

Ngày tải lên: 07/08/2014, 08:20

... and w with the same color. Now the vertex v between u, w on P 4 is not in C, but since u, w areatdistanceatleast3onC the path uvw together with one of the u, w-segments of C yields a shorter non-contractible ... preliminaries Suppose F is a nonempty family of connected bipartite graphs, each with at least 3 vertices. An r-coloring of a graph G is said to be F-free if G contains no 2-...

Ngày tải lên: 07/08/2014, 08:20

... continuity that the chromatic polynomial has a root in the interval (1, 2). We can perform a similar analysis on the graphs obtained by adding the single edge v 1 v 4 to X(s, t) with the following ... an in nite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negat...

Ngày tải lên: 07/08/2014, 13:21

... most graphs on n vertices contain substantially many copies of any fixed graph, but contain no complete bipartite subgraphs with both parts larger than C log n, for some C > 0, independent of n. Hence, ... graph of order 2; - K 2 (s, t) for the complete bipartite graph with parts of size s and t; - f| X for the restriction of a map f to a set X. Specific notation Suppos...

Ngày tải lên: 07/08/2014, 15:23

... first. If y does not begin with a then replace it with one of its conjugates that does. Then each occurrence of the letter b is preceded by a: we can replace such a pair with φ(a). Similarly each ... replaced with φ(c). The remaining occurrences of a can be replaced with φ(a) and we see that y is in the range of φ. Suppose the factors of y come from the fourth set. If y does not begi...

Ngày tải lên: 07/08/2014, 21:20

... of finding connected graphs of maximal spectral radius with given number of vertices and edges (but arbitrary degree sequences). Brualdi and Solheid [4] have shown that such graphs have stepwise ... of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequen...

Ngày tải lên: 07/08/2014, 21:20

... follows that H u,π 2 (q) = P u,w (q) + q h 2 E u (q) . Since H u,π 2 (q) − P u,w (q) has nonnegative coefficients and deg P u,w (q) ≤ (h − 1) /2 < h − 1, P u,w (q) = 1 + · · · + q s 1 4 For tho se readers ... w]: I:  (y + 1) z · · · 1( y + z + 2) · · · (y + 2), (y + z + 2)(y + 1) y · · · 2(y + z + 1)...

Ngày tải lên: 08/08/2014, 01:20

... words. 1 Words with intervening neighbours Let G be the Coxeter graph of a Coxeter group with generators S. Consider a word w in the alphabet S. Definition 1.1. A word has the intervening neighbours property ... groups. the electronic journal of combinatorics 17 (2010), #N9 3 Words with intervening neighbours in infinite Coxeter groups are reduced Henrik Eri...

Ngày tải lên: 08/08/2014, 01:20

... with exactly one descending vertex also has exa ctly one ascending vertex. Also, conditions (i) and (iii) do not change b ecause they have nothing to do with whether a block is ascending or descending. ... same block, and if that block is ascending then v and v ′ are in the same order as their successors, whereas if it is descending they are in the opposite order. Now sup...

Ngày tải lên: 08/08/2014, 11:20

... could be several conical subsets that are large. Fortunately, we have the following Lemma 3 Let S be an arc with a conical subset T with excess e. Then the excess e ′ of any other conical subset ... (q + 5)/2 can contain at most one conical subset with excess a t most 2. Proof : Assume S has a conical subset T with excess e  2. Then by Lemma 3, a ny other conical subset...

Ngày tải lên: 08/08/2014, 12:22