函数符号

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

In the form of mathematical logic and related branches, functional predicate or function symbol is applied to an object key and generate another object entry logic symbols.

在形式逻辑和相关的数学分支中，泛函谓词或函数符号是应用于一个对象项而生成另一个对象项的逻辑符号。

Because the weights are determined by the correlation of code sequence and estimation error of channels, which can be nearly determined by system load factor, we determine the sub-optimum weights by system load factor through simulations, and substitute the hard-decision symbol function by soft-decision hyperbolic tangent function to decrease the risk of error decision.

由于加权因子取决于前级符号估计的可靠性。也就是取决于扩频码互相关系数与信道估计精度，在随机扩频系统中，估计精度可近似由系统负荷决定，因此可根据系统负荷决定加权因子，以很小的性能降低代价换取计算量的极大降低。同时，为进一步降低误判风险，使用带有斜率控制因子的双曲正切函数代替常规的符号函数。

The first rank derivative is a reflection of curve change and its rate, at certain range, if the sign of the first rank derivative has changed, the logging value of the correspondence depth point means maximum in this range; the second rank derivative is the knaggy property reflection of curve, at certain range, if the sign of the second rank derivative has changed, the correspondence depth point represent the inflexion of geophysical logging curve, it＇s also a turning point of the reflection of knaggy change property of the curve, it is the interface of stratum.

测井曲线的值是深度的函数，测井曲线的一阶导数表示了曲线变化的趋势和变化的快慢，在某一范围内，当一阶导数呈现符号转换时，相对应的深度点的测井值即为该范围内极大值；测井曲线的二阶导数则表示曲线的凹凸性，在某一范围内，当二阶导数呈现符号转换时，相对应的深度点代表了测井曲线的拐点，即反映曲线凹凸性变化的转折点，亦即地层的分界面。

The mutiple-input mutiput-output logic function of vertex in state transition graph represents output of related state and the single output logic function represents state transition condition; we use a 8-tuple NetList to represent the structure implement of the result of controller synthesis.

状态转换图顶点中的多输入多输出逻辑函数表示对应状态的输出，图中边上的单输出逻辑函数表示状态转移条件；用一个八元组NetList表示控制器综合结果的结构实现，八元组包括输入符号，输出符号，状态存储器的输入，输出网络，状态转换网络，状态存储器，状态存储器的输出和状态存储器的初始输出。

It can also be used as a powerful tool in data base systems. A kind of Mini-LISP language used on VAX/VMS 11-780 and PDP11/45 under the support of RSX-11M operating system is presented with an introduction of the LISP language structure, composition and its programming ...

全文分三部分连载：第一部分介绍Mini-LISP的基本成份、简单原语和基本函数，是LISP程序设计的基础；第二部分介绍λ函数、递归函数及过程函数的表示法，并列举Mini-LISP的常用函数；第三部分介绍LISP语言在符号处理、人工智能和数据库系统设计中的应用实例。

More precisely, all variableassignments in a function store the value in the local symbol table;whereas variable references first look in the local symbol table, thenin the global symbol table, and then in the table of built-in names.thus, global variables cannot be directly assigned a value within afunction (unless named in a global statement), althoughthey may be referenced.

所有的局部变量都存储在这个局部符号表中。引用参数时，会先从局部符号表中查找，然后是全局符号表，然后是内置命名表。因此，全局参数虽然可以被引用，但它们不能在函数中直接赋值（除非它们用global 语句命名）。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。