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摘要:给出了“石头剪刀布”的一种“白富美”新玩法。所谓“白”,即思路清清楚楚、明明白白;所谓“富”,即理论内涵非常丰富;所谓“美”,即结论绝对数学美。安全通论的魅力也在这里得到了幽默体现。
关键词: 概率;信道;安全
Abstract: In this paper, “clear, rich and charming” can be well explained the “rock scissors paper” in offensive and defensive. “Clear” means the clear thinking, “rich” refers to the rich theory connotation, and “charming” represents the harmony and singularity of mathematics. Charm of the general theory of security is also humorously shown in this paper.
probability; channel; security
利用安全通论,我们只需一张纸、一支笔,就把石头剪刀布玩成“白富美”。所谓“白”,即思路清清楚楚、明明白白;所谓“富”,即理论内涵非常丰富;所谓“美”,即结论绝对数学美。
1 信道建模
设甲与乙玩石头剪刀布,他们可分别用随机变量X和Y来表示:当甲出拳为“剪刀”、“石头”、“布”时,分别记为X=0、X=1、X=2;当乙出拳为剪刀、石头、布时,分别记为Y=0、Y=1、Y=2。根据概率论中的“大数定律”,频率的极限趋于概率,所以甲乙双方的出拳习惯,可以用随机变量X和Y的概率分布表示为:
(1)Pr(X=0)=p,即甲出剪刀的概率;Pr(X=1)=q,即甲出石头的概率;Pr(X=2)=1-p-q,即甲出布的概率。这里0
关键词: 概率;信道;安全
Abstract: In this paper, “clear, rich and charming” can be well explained the “rock scissors paper” in offensive and defensive. “Clear” means the clear thinking, “rich” refers to the rich theory connotation, and “charming” represents the harmony and singularity of mathematics. Charm of the general theory of security is also humorously shown in this paper.
probability; channel; security
利用安全通论,我们只需一张纸、一支笔,就把石头剪刀布玩成“白富美”。所谓“白”,即思路清清楚楚、明明白白;所谓“富”,即理论内涵非常丰富;所谓“美”,即结论绝对数学美。
1 信道建模
设甲与乙玩石头剪刀布,他们可分别用随机变量X和Y来表示:当甲出拳为“剪刀”、“石头”、“布”时,分别记为X=0、X=1、X=2;当乙出拳为剪刀、石头、布时,分别记为Y=0、Y=1、Y=2。根据概率论中的“大数定律”,频率的极限趋于概率,所以甲乙双方的出拳习惯,可以用随机变量X和Y的概率分布表示为:
(1)Pr(X=0)=p,即甲出剪刀的概率;Pr(X=1)=q,即甲出石头的概率;Pr(X=2)=1-p-q,即甲出布的概率。这里0