Periodic orbits for square and rectangular billiards
HH Chen, HM Osinga - arXiv preprint arXiv:2410.18316, 2024 - arxiv.org
Mathematical billiards is much like the real game: a point mass, representing the ball, rolls in
a straight line on a (perfectly friction-less) table, striking the sides according to the law of …
a straight line on a (perfectly friction-less) table, striking the sides according to the law of …
A graph related to the Euler ø function
N Ghanbari, S Alikhani - The Mathematical Gazette, 2023 - cambridge.org
In mathematics, graph theory is the study of graphs, which are mathematical structures used
to model pairwise relations between objects. A graph G is a pair G=(V, E), where V and E …
to model pairwise relations between objects. A graph G is a pair G=(V, E), where V and E …
Estimating the φ (n) of Upper/Lower Bound in its RSA Cryptosystem
C Liu, Z Ye - Cryptology ePrint Archive, 2012 - eprint.iacr.org
Abstract The RSA-768 (270 decimal digits) was factored by Kleinjung et al. on December 12
2009, and the RSA-704 (212 decimal digits) was factored by Bai et al. on July 2, 2012. And …
2009, and the RSA-704 (212 decimal digits) was factored by Bai et al. on July 2, 2012. And …
Self-controlled jamming resilient design using physical layer secret keys
Direct-sequence spread spectrum (DSSS) has been recognized as an effective jamming
resilient technique. However, the effectiveness of DSSS relies on the use of either pre …
resilient technique. However, the effectiveness of DSSS relies on the use of either pre …
A graph related to Euler function
N Ghanbari, S Alikhani - arXiv preprint arXiv:2012.12492, 2020 - arxiv.org
Euler function $\phi (n) $ is the number of positive integers less than $ n $ and relatively
prime to $ n $. Suppose that $\phi^ 1 (n)=\phi (n) $ and $\phi^ i (n)=\phi (\phi^{i-1}(n)) $. Let …
prime to $ n $. Suppose that $\phi^ 1 (n)=\phi (n) $ and $\phi^ i (n)=\phi (\phi^{i-1}(n)) $. Let …
[PDF][PDF] Mathematical billiards: Periodic orbits within quadrilaterals
H Chen - 2020 - researchgate.net
Mathematical billiards is a dynamical system that models billiards in an idealised
environment. The billiard ball is considered to be a point mass and satisfies the law of …
environment. The billiard ball is considered to be a point mass and satisfies the law of …
[PDF][PDF] A Generalize Estimating the φ (n) of Upper/Lower Bound to RSA Public Key Cryptosystem
J Fang, C Liu - ijns.jalaxy.com.tw
Abstract The RSA-768 (270 decimal digits) was factored by Kleinjung et al. on December 12,
2009, while the RSA-704 (212 decimal digits) was factored by Bai et al. on July 2, 2012. The …
2009, while the RSA-704 (212 decimal digits) was factored by Bai et al. on July 2, 2012. The …
[PDF][PDF] Täydelliset totienttiluvut
T Hyvärinen - 2015 - trepo.tuni.fi
Tässä tutkielmassa käsitellään täydellisiä totienttilukuja. Täydellinen totienttiluku on
kokonaisluku, joka yhtä suuri siitä iteroitujen Eulerin phi-funktioiden arvojen summan …
kokonaisluku, joka yhtä suuri siitä iteroitujen Eulerin phi-funktioiden arvojen summan …
아기걸음-성인걸음이산대수알고리즘
이상운 - 한국정보기술학회논문지, 2013 - dbpia.co.kr
요 약이산대수는 비대칭키를 이용하는 RSA 의 암호키를 푸는 열쇠이며, 아기걸음-
거인걸음법이 일반적으로 알려져 있다. 본 논문은≡ mod 에서 를 구하는 이산대수 …
거인걸음법이 일반적으로 알려져 있다. 본 논문은≡ mod 에서 를 구하는 이산대수 …