Báo cáo toán học: "On the Modes of Polynomials Derived from Nondecreasing Sequences" pdf

... f (n) k (x) of order n ≤ m − k has the same property. We establish this property by induction on n. the electronic journal of combinatorics 18 (2011), #P1 2 On the Modes of Polynomials Derived from Nondecreasing ... alternative proof of the ratio monotonicity of the Boros-Moll polynomials [3]. Let M ∗ (P, d) and M ∗ (P, d) denote the smallest and the greate...

Ngày tải lên: 08/08/2014, 12:23

... An interesting paper of Wagner [5] looks at the number of independent sets modulo m. Wagner showed that the pr oportion of trees on n vertices with the number of independent sets divisible ... recursion between the Fibonacci number of a rooted tree and its subtrees. Suppose r 1 , r 2 , · · · , r j are the neighbours of r, let (T k , r k ) be the subtree of T rooted a...

Ngày tải lên: 08/08/2014, 11:20

... α(j) = 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded if and only if the condition (5.5) is satisfied. Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark ... condition for the boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively. The next result provides a sufficient condition for the boundedness o...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20