This is first report about the simultaneous over-expression of both Insulin-like growth factor (IGF- I ) and its receptor (IGF- I R) at mRNA level in human primary hepatic Cancer (PHC). In 10 PHC samples from China, I...This is first report about the simultaneous over-expression of both Insulin-like growth factor (IGF- I ) and its receptor (IGF- I R) at mRNA level in human primary hepatic Cancer (PHC). In 10 PHC samples from China, IGF-I and IGF- I R were both over-expressed, whereas only a background signal was detected in normal liver. In 5 pairs of PHC and its non- tumorous adjacent liver tissues from South Africa, IGF- I and IGF- I R were also over-expressed in PHC. mRNA expression of IGF- I in all 5 cases and IGF- I R in 4 of 5 cases were higher in cancer than non- tumorous adjacent liver tissues. These results strongly implicate that an autocrine and/ or paracrine mechanism might be Involved in formation and progression of PHC.展开更多
This paper proposes three new attacks. In the first attack we consider the class of the public exponents satisfying an equation e X-N Y ＋（ap^r＋ bq^r）Y = Z for suitably small positive integers a, b. Applying contin...This paper proposes three new attacks. In the first attack we consider the class of the public exponents satisfying an equation e X-N Y ＋（ap^r＋ bq^r）Y = Z for suitably small positive integers a, b. Applying continued fractions we show thatY/Xcan be recovered among the convergents of the continued fraction expansion of e/N. Moreover, we show that the number of such exponents is at least N^（2/（r＋1）-ε）where ε≥ 0 is arbitrarily small for large N. The second and third attacks works upon k RSA public keys（N_i, e_i） when there exist k relations of the form e_ix-N_iy_i ＋（ap_i^r ＋ bq_i^r ）y_i = z_i or of the form e_ix_i-N_iy ＋（ap_i^r ＋ bq_i^r ）y = z_i and the parameters x, x_i, y, y_i, z_i are suitably small in terms of the prime factors of the moduli. We apply the LLL algorithm, and show that our strategy enables us to simultaneously factor k prime power RSA moduli.展开更多
In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong r...In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong representation and also give a parametrization for all the simultaneous stabilizing controllers.展开更多
文摘This is first report about the simultaneous over-expression of both Insulin-like growth factor (IGF- I ) and its receptor (IGF- I R) at mRNA level in human primary hepatic Cancer (PHC). In 10 PHC samples from China, IGF-I and IGF- I R were both over-expressed, whereas only a background signal was detected in normal liver. In 5 pairs of PHC and its non- tumorous adjacent liver tissues from South Africa, IGF- I and IGF- I R were also over-expressed in PHC. mRNA expression of IGF- I in all 5 cases and IGF- I R in 4 of 5 cases were higher in cancer than non- tumorous adjacent liver tissues. These results strongly implicate that an autocrine and/ or paracrine mechanism might be Involved in formation and progression of PHC.
文摘This paper proposes three new attacks. In the first attack we consider the class of the public exponents satisfying an equation e X-N Y ＋（ap^r＋ bq^r）Y = Z for suitably small positive integers a, b. Applying continued fractions we show thatY/Xcan be recovered among the convergents of the continued fraction expansion of e/N. Moreover, we show that the number of such exponents is at least N^（2/（r＋1）-ε）where ε≥ 0 is arbitrarily small for large N. The second and third attacks works upon k RSA public keys（N_i, e_i） when there exist k relations of the form e_ix-N_iy_i ＋（ap_i^r ＋ bq_i^r ）y_i = z_i or of the form e_ix_i-N_iy ＋（ap_i^r ＋ bq_i^r ）y = z_i and the parameters x, x_i, y, y_i, z_i are suitably small in terms of the prime factors of the moduli. We apply the LLL algorithm, and show that our strategy enables us to simultaneously factor k prime power RSA moduli.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1130104711271059)the Fundamental Research Funds for the Central Universities
文摘In this paper, we consider the simultaneous stabilization of discrete linear timevarying systems in an operator-theoretic framework. We give a criterion of simultaneous stabilization on account of one kind of strong representation and also give a parametrization for all the simultaneous stabilizing controllers.
