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- Miroslav Halás, Ülle Kotta, Ziming Li, Huaifu Wang, Chunming Yuan
- ISSAC
- 2009

The paper describes an algebraic construction of the inversive difference field associated with a discrete-time rational nonlinear control system under the assumption that the system is submersive. We prove that a system is submersive iff its associated difference ideal is proper, prime and reflexive. Next, we show that Kähler differentials of the… (More)

- Ziming Li, Martin Ondera, Huaifu Wang
- ACM Comm. Computer Algebra
- 2008

Let k be a commutative field, σ an automorphism of k, and δ a derivation on k with respect to σ. Ore in [7] defines a (univariate) polynomial ring k[∂; σ, δ], which is called an Ore or skew polynomial ring. An Ore polynomial ring is, in general, noncommutative. Its commutation rule is ∂r = σ(r)∂ + δ(r) for all r ∈ k. For example, C(t)[∂; 1, δ], where 1 maps… (More)

- Yujuan Li, Huaifu Wang, Jinhua Zhao
- IACR Cryptology ePrint Archive
- 2013

In this paper, we give conditions under which the trinomials of the form x n + ax + b over finite field Fpm are not primitive and conditions under which there are no primitive trinomials of the form x n + ax + b over finite field Fpm. For finite field F4, We show that there are no primitive trinomials of the form x n + x + α, if n ≡ 1 mod 3 or n ≡ 0 mod 3… (More)

In this note, we present an answer to Exercise 9.3 in the Book Symbolic Integration I (second edition) by M. Bronstein, under an additional assumption that the real elementary extension in the exercise is purely transcendental. Our answer is based on a rather technical lemma derived from a naive attempt to do the exercise inductively.

- Gang Xu, Huaifu Wang, Gang He, Dezhong Chen
- Lin chuang er bi yan hou tou jing wai ke za zhi…
- 2009

OBJECTIVE
To investigate the significance of expressions of p53 and p21 in nasal NK/T-cell lymphoma (NKTL) and their relationship with cell proliferation and apoptosis.
METHOD
Sixty-two cases of NKTL were examined for p53, p21 and Ki67 proteins by means of tissue microarray technique, TUNEL and immunohistochemistry. The proliferation index (PI) was… (More)

- Yujuan Li, Jinhua Zhao, Huaifu Wang
- IACR Cryptology ePrint Archive
- 2014

In this paper, we explore the primitivity of trinomials over small finite fields. We extend the results of the primitivity of trinomials x n + ax + b over F4 [1] to the general form x n + ax k + b. We prove that for given n and k, one of all the trinomials x n + ax k + b with b being the primitive element of F4 and a + b = 1 is primitive over F4 if and only… (More)

- Yujuan Li, Wenhua Shen, Huaifu Wang, Peipei Zhou
- IACR Cryptology ePrint Archive
- 2014

Recently, Kalikinkar Mandal and Guang Gong presented a family of nonlinear pseudo-random number generators using Welch-Gong Transformations in their paper [6]. They also performed the cycle decomposition of the WG-NLFSR recurrence relations over different finite fields by computer simulations where the nonlinear recurrence relation is composed of a… (More)

- Ziming Li, Huaifu Wang
- J. Systems Science & Complexity
- 2011

We present a criterion for the similarity of length-two elements in a noncom-mutative principal ideal domain. The criterion enables us to develop an algorithm for determining whether B 1 A 1 and B 2 A 2 are similar, where A 1 , A 2 , B 1 , B 2 are first-order differential (difference) operators. The main step in the algorithm is to find a rational solution… (More)

- Bing Liu, Huaifu Wang
- Lin chuang er bi yan hou ke za zhi = Journal of…
- 2002

OBJECTIVE
To research the way to deal with the acute laryngeal damage.
METHOD
Data of 36 cases with acute laryngeal damage were analyzed.
RESULT
Among 36 cases, there were 10 cases who received non-surgical treatment and their phonation was normal except 2 cases who had mild hoarseness. Among 26 cases who had been performed operation. 21 had normal… (More)

- Yong Feng, Gang Xu, Bing Liu, Huaifu Wang, Xueqin Su
- Lin chuang er bi yan hou ke za zhi = Journal of…
- 2003

OBJECTIVE
To discuss the clinical pathologic features and therapeutic method of the primary neuroendocrine carcinoma in ear, nose, pharynx, larynx.
METHOD
One case of atypical carcinoid tumor in larynx is treated by epiglottidectomy. One case of atypical carcinoid tumor in rhinopharynx is treated by radiotherapy. One case of typical carcinoid tumor in… (More)