1 Strong Induction Recall the principle of strong induction: Principle of Strong Induction. Let(n) be a predicate. If ·P() is true,and for all n, P(O)A P(1)...A P(n) implies P(n+1), then P() is true for all n E N. As an example, let's derive the fundamental theorem of arithmetic

1 Streaks someone tapping the H and t keys in a what felt like a random way?0 Nas the table of H's and T's below generated by flipping a fair coin 100 times

abUs公共汽车站旁的候车棚 a bomb~防空洞 A·seek- for the night找个过夜的地方 In the storm we took (found)- under a tree The basic necessities of life are food Clothing and

案例一、某工程项目,建设单位通过招标选择了一具有相应资质的监理单位承担施工招标 代理和施工阶段监理工作,并在监理中标通知书发出后第45天,与该监理单位签订了委 托监理合同。之后双方又另行签订了一份监理酬金比监理中标价降低10%的协议。 在施工公开招标中,有A、B、C、D、E、F、C、H等施工单位报名投标,经监理单位资 格预审均符合要求,但建设单位以A施工单位是外地企业为由不同意其参加投标,而监理 单位坚持认为A施工单位有资格参加投标。 评标委员会由5人组成,其中当地建设行政管理部门的招投标管理办公室主任1人、 建设单位代表1人、政府提供的专家库中抽取的技术经济专家3人

维生素A是维持上皮组织 的完整性、参与合成眼底感光 物质,并与免疫抗病密切相关。 当饲料添加量不足或质量低劣、 添加配制时间过长及患有某种 疾病时均可导致维生素A缺乏

1 Induction Recall the principle of induction: Principle of Induction. Let P(n) be a predicate. If ·P(0) is true,an for all nE N, P(n) implies P(n+1), then P(n) is true for all nE N As an example let's try to find a simple expression equal to the following sum and then use induction to prove our guess correct 1·2+2·3+3:4+…+n·(mn+1) To help find an equivalent expression, we could try evaluating the sum for some small n and(with the help of a computer) some larger n sum

1 Logic A proposition is a statement that is either true or false. Propositions can be joined by \and\, \or\, \not\, \implies\, or \if and only if\. For each of these connective, the defini- tion and notational shorthand are given in the table below. Here A and B denote arbitrary propositions

1 Case analysis The proof of a statement can sometimes be broken down into can be tackled individually 1.1 The method In order to prove a proposition P using case analysis Write, We use case analysis Identify a sequence of conditions, at least one of which must hold. (If this is not obvious, you must prove it

一、示例程序 main() int a, b,c; scanf(\%/od, %d\, &a, &b); c=a

鉴于Aurora--A的重要作用,其被作为一个设计抗肿瘤药物的新靶点。目前已有几种选择性Aurora-A激酶抑制剂进入到临床研究中,并且表现出良好的治疗效果