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Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法,它将密码学方案的安全性归约为公认的计算难题,已成为现代密码学领域中理论工作的主线,本文主要研究公钥加密与单双钥混合加密的可证明安全性,这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造,而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法,本文得到的主要结果如下:(1)在研究NTRU公钥加密的特殊性基础上,对于公钥加密的陷门单向函数加密模型进行了扩展,提出了具有辅助陷门单向函数的概念,并将其扩展到多元的情况,讨论了可能的密码学用途。

At the same time , we discuss the determinism and nondeterminism of formula-clock automata and the closure propertied under Boolean operation of the language which is accepted by formula-clock automata. We also prove the expressive equivalence between the deterministic formula-clock automata and the nondeterministic formula-clock automata. This means that every nondeterministic formula-clock automata can be transformed to a deterministic formula-clock automata which exactly accept the timed language identified by the fomer.We also extend timed words to infiniteness and define the formula-clock Buchi automata and the formula-clock Muller automata. At last, we show its application in formal verification and modeling of real-time system.

然后讨论了公式时钟自动机的确定性和非确定性,公式时钟自动机识别的语言类在并、交、补运算下的封闭性;并证明了确定的公式时钟自动机和非确定的公式时钟自动机表达能力的等价性,这意味这每一个非确定的公式时钟自动机都能转换为一个与之识别相同时间语言的确定的公式时钟自动机;我们将时间字扩展为无穷的,从而定义了公式时钟Buchi自动机与公式时钟Muller自动机;最后给出了用它进行实时系统的形式化验证方面及对实时系统建模的应用。

After rectifying the family structure, and educational level of parents, the influencing factor of adaptability was formula mainly; intensity of reaction was breastfeeding duration for 4-6 months and breast milk mainly; rhythmicity was breastfeeding duration for 7-9 months and formula only; activity level was both breast milk an formula milk equally and breastfeeding duration for 7-9 months; quality of mood was formula only and duration of breastfeeding for 7-9 months; approach-withdrawal was breast milk mainly and both breast milk and formula milk equally; distractibility was formula milk mainly.

校正家庭结构、父母亲受教育水平等因素后,适应度的影响因素是主要喂奶粉;反应强度的影响因素是母乳喂养持续时间4~6个月和主要喂母乳;规律性的影响因素是母乳喂养持续时间7~9个月和只喂奶粉;活动水平的影响因素是母乳与奶粉等量和母乳喂养持续时间7~9个月;情绪本质的影响因素是只喂奶粉和母乳喂养持续时间7~9个月;趋避性的影响因素是主要喂母乳和母乳与奶粉等量;注意分散的影响因素是主要喂奶粉。

As research and extensive, gradually discovers that the seeastigmatism formula also have problems, that is, it has a data expression cannot and Visual feeling of one's eyes, so the match chromatology experts have implemented written by CMC (1 c) CIE94 seeastigmatism seeastigmatism formulas, the formulas as well as the latest CIEDE2000 seeastigmatism formula, where written by CMC (1 c) chromatic aberration formula in the textile industry is listed as a range of international and national standards. X-Rite ′?ˉs 528 integrates CIE LAB color difference equation, written by CMC (1 c) and the color difference formula, the formula CIE94 seeastigmatism seeastigmatism measurement shall be free to choose from.

随着查究的浮浅,忽然发掘该色差公式也有题目,即它的数据外达不克不及够和人眼的触觉感施相成婚,因此色彩教查究大师接踵推出了CMC(1∶c)色差公式、CIE94色差公式以及最新的CIEDE2000色差公式,其洋CMC(1∶c)色差公式在纺织行业被列为不国外和国度尺度。X-Rite 528集不败了CIE 1976 LAB色差公式、CMC(1∶c)色差公式和CIE94色差公式,在色差丈度时可以自由拔取。

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换,分别得到其正常水深与临界水深的牛顿迭代公式,同时,通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算,利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式,并以此近似计算式为初值,用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

The Total probability formula is an important formula in the probability theory , this text carries on several popularization to this formula, and until probability calculate, margin distribute calculate and foundation of recurrence formula application of carry on some discussions to formula this.

摘要全概率公式是概率论中的一个重要公式,本文对此公式进行若干推广,并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了一些探讨。

Take the goose meat as raw materials, make three different flavor goose sausages. Firstly, confirm the optimal formula of goose sausage of primary flavor through the single factor experiment. Then according to the above formula to develop cumin goose sausage and corn goose sausage. Finally we came to the conclusions that the best formula of goose sausage of primary flavor is 100kg goose muscle+2% soy protein+supplementary, the best formula of cumin goose sausage is 100kg goose muscle+2% soy protein+0.3% cumin+supplementary, the best formula of corn goose sausage is 100kg muscle+2% soy protein+12% sweet corn+supplementary.

研究利用鹅肉制作了3种不同风味的火腿肠,首先通过单因素试验确定原味鹅肉火腿肠的最优配方,然后根据原味鹅肉火腿肠的配方进一步开发研制孜然鹅肉火腿肠和玉米鹅肉火腿肠,最后得到原味鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+辅料、孜然鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+0.3%孜然粉+辅料、玉米鹅肉火腿肠的最佳配方为鹅瘦肉100kg+2%大豆蛋白+12%甜玉米+辅料。

In this paper, after taking over coupling effect between electronic spin and orbital angular momentum, to revise the formula of electronic angular momentum in Bohr's theory, and electronic speed formula is obtained in a single-electron system, and to correct the energy level formula of atomic orbit in Schr? dinger's method by relativistic effect, the theoretical improving formula is built for spectrum fine splitting calculation, the calculated values are in good agreement with experimental ones, and reflect changing law of spectrum fine splitting values.

本文在考虑了电子的自旋角动量与轨道角动量的耦合作用后,通过对Bohr理论中的电子运动角动量的修改,推导出单电子体系的电子速度公式,结合对Schrdinger的原子轨道能级表达式相对论效应修正,从而得出本文的氢及类氢离子光谱精细结构值的理论计算公式,应用此改进公式,所得的计算值与实验观测值符合得很好,计算结果也反映了氢及类氢离子光谱精细结构数据变化的规律性。

METHODS: C57BL/6J mice (15/group) were respectively received mash as AIN-93G formula, or 1% cholesterol supplemented AIN-93G formula, or 1% cholesterol and 14% long chain triglyceride rich in myristic acid supplemented AIN-93G formula, or 1%cholesterol and 14% MCT (caprylic acid/capric acid: 3/1) supplemented AIN-93G formula for 6 weeks.

分别用AIN-93G配方饲料,含1%胆固醇的AIN-93G配方饲料,含1%胆固醇和14%富含豆蔻酸的长链甘油三酯的AIN-93G配方饲料,含1%胆固醇和14%的中链甘油三酯的AIN-93G配方饲料喂养C57小鼠6周,每组15只。

By academic analyzing, it is concluded that two order discrete paraxial approximation formula of the paper, multiple transmitting formula and polynomial extrapolation formula are the different forms of continuous paraxial approximation formula, so they are with nearly equivalent precision and stability and with equivalent applicability and limitation.

据此文献[3]将傍轴近似公式归结为一类从特定的无限域模型导出的人工边界条件,并且提出了新的从一般无限域模型导出的具有普适性的、称为"多次透射公式"的局部人工边界条件。那么,是否也可以从一般无限域模型导出具有普适性的傍轴近似公式呢?

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