查询词典 differentiable function

Each of us has a superior function, which we prefer and which is best developed in us, a secondary function, which we are aware of and use in support of our superior function, a tertiary function, which is only slightly less developed but not terribly conscious, and an inferior function, which is poorly developed and so unconscious that we might deny its existence in ourselves.

每个人都有自己第一优先的方法，这是我们最喜欢或做的最好的方法；第二优先的方法，是我们知道或使用来辅助第一优先方法；第三顺位方法，是我们仅仅使用一点点但不太了解的方法；而最后考虑的方法，是做的不好而不了解，以致於我们自己可能会否定它的存在。

The purpose of this dissertation is to study a principle or method to describe and analyze the complex problems with high gradients arising from practical engineering. The main contents cover:1. The Bezier function was introduced to approximate high gradient functions, and a suitable coupled function was derived. Some detail numerical results show that the Bezier-based function is dominant over other combination function such as polynominal and trigonometric series, when to describe a high gradient function.

针对工程中大量存在的高梯度问题进行函数逼近的研究，引入Bezier函数对高梯度问题进行函数逼近，构成以Bezier函数为主的复合逼近函数，数值考证表明：与常规多项式插值函数的逼近及"幂／三角"复合函数的逼近相比，基于Bezier函数的逼近函数对高梯度问题的描述具有明显优势。

Results The long term results of the vascularized fibular graft varied in different types of bone defects. Nine patients with congenital pseudoarthrosis of tibia had the limb function restored in 65％ and one had nonunion of fibular graft, 3 fractures(7 times), and 5 angular deformities. Three patients with congenital radial deficiency had 62％ restoration of the limb function. All of them showed early closure of epiphyses of the grafted fibulae. Five cases with osteomyelitis and bone defects combined soft tissue deficiency had 94％ restoration of the limb function, and only one occurred fracture of fibular graft. One case with soft tissue defect and concomitant ulnar defect, ulnar nerve and median nerve injury, 67％ function of limb was recovered, and union of fibula graft was good. 100％ function of limb was recovered in 1 case with cavernoma of radius and without occurring valgus deformity of donor site.

结果应用带血管腓骨移植修复骨缺损的远期效果因缺损类型的不同而存在较大差异。9例先天性胫骨假关节患者，术后肢体功能恢复65％，其中移植腓骨骨不连1例、骨折3例(7次)、成角畸形5例；3例先天性桡骨缺如患者，术后肢体功能恢复62％，3例术后均出现移植腓骨骨骺线早闭，畸形复发；5例骨髓炎、骨外露、骨缺损并软组织缺损患者，术后肢体功能恢复94％，仅1例发生移植腓骨骨折；1例前臂软组织缺损并尺骨缺损，尺神经、正中神经损伤者，术后肢体功能恢复67％，骨愈合顺利；1例桡骨海绵状血管瘤者，术后肢体功能恢复100％，骨愈合顺利。

In 1991, a young Italian scientist, Walter Fontana , showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特·方塔纳从数学角度阐述了功能A产生功能B，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

In 1991, a young Italian scientist, Walter Fontana, showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特丰塔纳从数学角度阐述了功能A产生功能 B ，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

In 1991, a young Italian scientist, Walter Fontana , showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特·方塔纳从数学角度阐述了功能A产生功能B，B再产生C这样的线性序列很容易被绕成圈，并以控制论的方式封闭为自生的环，这样最后的功能就成为初始功能的共同生者。

In 1991, a young Italian scientist, Walter Fontana , showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，年轻的意大利科学家沃尔特·方塔纳从数学角度阐述了功能A产生功能B，B再产生C这样的线性序列很容易被绕成圈，并以控制论的方式封闭为自生的环，这样最后的功能就成为初始功能的共同生者。

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

The basic function of county government is to perfect the configuration of market economy system to create basic conditions for the performance of market system by institutional innovation; the guiding function refers to the one that county government creates the development plans, strategies, policies and economic levers to promote the agricultural modernization, county industrialization,and urbanization for driving the county developmant; organizational function means that county government carries out the correct measures of industrial organization to avoid infavorable impact of overcompetition on economy and to improve the development and competitivity; regulatory function performs when county government regulates the conducts of market bodies by economic, legislative and administrative means to solve the externality and to sustain the development; and the complementory function acts on market by government supplying the public goods and harmonizing the social development.

基础性作用即县级政府通过一系列市场化的制度创新，建立完善了市场经济体制的基本框架，为市场机制发挥作用创造了基础条件；主导性作用即县级政府通过发展规划、发展战略、经济政策和经济杠杆，促进农业现代化、县域工业化和城镇化，使县域经济发展更具主动性；组织性作用即县级政府实施正确的产业组织措施，克服过度竞争对县域经济发展的不利影响，提高县域经济运行质量和竞争力；矫正性作用即县级政府通过一系列经济、法律、行政手段，对市场主体的行为进行调节，解决县域经济的外部性问题，使县域经济提高效率，实现可持续发展；补充性作用即县级政府发挥对市场的补充作用，主导公共产品供给，从根本上解决县域公共产品短缺问题，实现经济社会协调发展。

The cultural function is the basic function of education, other functions such as economical function and political function, etc. are refracted in the cultural function of education.

教育的基本功能是其文化功能，教育的其它功能是其文化功能的特定形式或在不同背景上的折射。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼