算术上的

The concept of the weighted logarithmic power mean is introduced; its relation with two-parameter mean is given; the inequality for weighted logarithmic power mean is derived; the magnitude relation among upper bounds of geometric mean and arithmetic mean of geometrically convex functions are made certain.

建立了几何凸函数的对称拟算术平均不等式，对文献[1]提出的不等式进行了推广统一；引进加权对数幂平均的概念，建立起其与双参数平均之间的关系，得到加权对数平均不等式，从而确定了几何凸函数的几何平均、算术平均的上界的大小关系；最后，提出了几何凸函数的对称拟算术平均不等式的推广问题。

The method of comparing results (which may need to take into account platform-varying floating point arithmetic) and the policy for determining consensus (e.g., best two out of three) are supplied by the application.

比较计算结果的方法(可能需要考虑不同平台在浮点算术上的差异)和决定结果是否一致的策略都是由计算程序提供的。

Netting on a multilateral basis is arithmetically achieved by summing each participant's bilateral net positions with the other participants to arrive at a multilateral net position.

多边的轧差在算术上是通过计算每个参与者与其他参与者之间的双边轧差余额而得到一个多边轧差余额。

Liquidity and credit suddenly become scarce and a devastating, value-destroying uncertainty takes hold. In 2007 Dick Fuld, the former head of Lehman Brothers, observed that whereas credit grows arithmetically, it shrinks geometrically.

一夜之间，流动性和信用就变成稀缺资源，取而代之的是严重且破坏价值的不确定性。2007年，雷曼兄弟前首席执行官迪克·福尔德认为，尽管算术上信用在不断增长，但从几何学上来说，却是在下降。

To lose one's balance .Balance a budget; a balanced budgetThe state of being in equilibrium.

设立这一项目是为了使整个借方和贷方达到算术上的平衡。

In this thesis, we first discuss the algorithms of arithmetic operations over binary fields using a polynomial basis representation.

本文首先讨论了有限域上基本算术运算的算法，对有限域上的椭圆曲线理论进行了研究，分析了椭圆曲线上的核心算法——数乘算法。

By studying hard, he was able to counterbalance his difficulty with arithmetic

他通过努力学习克服算术学习上的困难。

This thesis investigates some arithmetic problems with cryptographical background in finite fields and and consists of four chapters.

本文主要研究了有限域上的一些算术问题，这些问题均具有密码学上的应用背景。全文共分四章。

Del incompleteness theorem is based on some interpretation of first order arithmetic.

本文首先从形式主义的角度介绍了哥德尔不完全性定理，提出"哥德尔不完备性定理"的说法是容易混淆的，说明一阶算术有非标准模型，哥德尔的证明是基于标准模型的，可以推出一阶算术在标准模型上的不完备。

Arithmetic ordering on two's complement machines allows + and - to work on both signed and unsigned numbers.

在二补数的机器上的算术命令允许+和-都可以在有号或无号的数字上工作。

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。