Lagrange's dynamical equations

【数】拉格朗日动力学方程

In 1728 Euler gave differential equations for geodesics on surfaces

1728年,奥伊勒绘出了曲面上测地线的微方程。

Cost-volume-profit (CVP)analysis is based on the relationship that exists between sales revenue, cost and profit in the short term, the basic relationship can be presented by the following equations …

本量利分析是基于短期内销售收入、成本和利润之间的关系。基本关系可用如下等式表示…

Inequalities can be posed either as questions, much like equations , and solved by similar techniques, or as statements of fact in the form of theorems.

不等式可以以两种形式表示:一种以问题方式提出,很像方程式,而且解决它们所用的技巧也类似;另一种则是以定理的形式作为事实陈述出来。

Not solvable for the unknowns by the same set of values.Used of two or more equations or inequalities.

不可解的同一系列值的情况下由于有未知数而无解的。用于两个或两个以上的等式或不等式

Unfortunately, most of their equations involve too many "to be determined coefficients", thus restricting their usefulness

不幸,很多公式包括太多的“待定系数,”这样就难于应用。

To cut a long story short,the program represents all the blocks and components as formulae and then solves these equations in series or in a matrix．

长话短说,程序把所有的操作区和其中的单元表达成方程式,然后顺序地,或者用矩阵来求解这些方程。

numerical method of transcendental equations

超越方程数值解法

In addition, these equations only approximate the true expected values. In the normal range of pH, the approximation is very good.

除此之外,这些公式仅近似真正的预期值。PH值在正常范围内,这种近似性很好。

" Branch of algebra concerned with methods of solving systems of linear equations ; more generally, the mathematics of linear transformations and vector spaces. "Linear" refers to the form of the equations involved-in two dimensions, ax + by = c. Geometrically, this represents a line."

代数学的一个分支,处理解线性方程式系统问题;更一般地讲,是线性变换和向量空间的数学。"线性"指的是所包含的方程式形式,在二维问题中为ax+by=c。从几何上看,该方程式代表一条直线。

The subject of partial differential equations , which had its beginnings in the eighteenth century, burgeoned in the nineteenth

诞生于十八世纪的偏微分方程这门学科,在十九世纪发展起来了。

Electric cables-Calculation of the current rating-Current rating equations (100% load factor)and calculation of losses-Current sharing between parallel single-core cables and calculation of ci

电缆.电流定额的计算.电流定额公式(100%负载因数)和损耗的计算.并联单芯电缆间的电流分配和环流损耗的计算

Electric cables-Calculation of the current rating-Current rating equations (100% load factor)and calculation of losses-Sheath eddy current loss factors for two circuits in flat formation

电缆.额定电流的计算.额定电流方程式(负荷率100%)和损失率的计算.在平面结构中双电路铅包涡流损失率的计算

Electric cables-Calculation of the current rating-Current rating equations (100% load factor)and calculation of losses-General

电缆.额定电流的计算.额定电流方程式(负荷率100%)和损失率的计算.总则

The equations defining the zero-order perturbation simply govern the static solution

定义零级微扰的方程简单地决定了静态解。

The property of symmetry can also be used to save a part of the computational effort required for matrix inversion or for a solution of equations

对称的特性也可用来节省矩阵求逆中或求解方程中所需要的一部分计算量。

The more recent research on differential equations is concerned with the qualitative theory

对微分方程更近代的研究是关于定性理论。

The branch of algebra that deals with quadratic equations .

二次方程式论处理二次方程式的代数学的分支

Of or relating to geometric surfaces that are defined by quadratic equations .

二次曲面的由二次方程式所定义的几何平面的,或与其有关的

Non-newtonian liquids; concepts, rheological equations

非牛顿液体;概念、物质定律

Industrial-process control valves. Part 2-1 : flow capacity. Sizing equations for fluid flow under installed conditions.

工业过程调节阀.第2-1部分:流量.在安装条件下液体流量的截面方程

Industrial-process control valves-Flow capacity-Flow capacity-Sizing equations for fluid flow under installed conditions

工业过程控制阀 .流容.安装条件下液流规模方程

Industrial-process control valves-Part 2-1: Flow capacity; sizing equations for fluid flow under installed conditions (IEC 60534-2-1:1998);

工业过程控制阀.第2-1部分:流动容量.在安装条件下流体流动的尺寸方程

Industrial-process control valves-Flow capacity-Sizing equations for fluid flow through multistage control valves with interstage recovery

工业过程控制阀.流通能力.通过有段间恢复功能的多段控制阀的流体流量的校准公式

Witcomb notes that “you could write lots of equations for subsonic flow and lots for supersonic flow, but for transonic flow things got so complicated that nobody could write any equations for it.

惠特科姆指出,“人们能够写出许多关于亚声速流动的方程,写出许多关于超声速流动的方程,但是,对于跨声速流动,由于情况极其复杂,当时还没有人能够写出有关跨声速流动的任何形式的方程。

Witcomb notes that “you could write lots of equations for subsonic flow and lots for supersonic flow, but for transonic flow things got so complicated that nobody could write any equations for it .

惠特科姆指出,“人们能够写出许多关于亚声速流动的方程,写出许多关于超声速流动的任何形式的方程,但是,对于跨声速流动,由于情况极其复杂,当时还没有人能够写出有关跨声速流动的任何形式的方程。”

Test code for machine tools-Part 9: Estimation of measurement uncertainty for machine tool tests according to series ISO 230, basic equations

机床检验通则.第9部分:根据ISO 230系列机床检验基本方程式的测量不确定性的评估

The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations

基本的方法是以双曲型偏微分方程组的简单波解为根据的。

worked out the equations ;worked out their personal differences.

解出方程式;找到他们个人的区别

Today’s physicists craft their equations on desktop computers and buttress them with hard data----they have tracked neutrinos in their eccentric flight

今天的物理学家在台式计算机上创建方程式,并以确凿的数据表明他们捕获了行踪诡秘的中微子的踪迹

poisson equations

泊松方程

encoding equations

编码方程

Einstein equations

爱因斯坦方程组

normal form equations

标准形式方程组

independent equations

独立方程组

symmetrical equations

对称方程组

nonholonomic equations

不完整方程

Einstein’s field equations

爱因斯坦场方程组

Einstein Maxwell equations

爱因斯坦-麦克斯韦尔方程

poisson kinematic equations

泊松运动方程

transformed field equations

变换场方程

magnetohydrodynamic equations

磁流体力学方程

Bellman’s functional equations

贝尔曼函数方程组

canonized simulation equations

标准化模拟方程式组

canonical variational equations

标准变分方程

system of variational equations

变分方程组

overdetermined linear equations

超定线性方程组

system of diophantine equations

丢番图方程组

multilevel difference equations

多级差分方程

invariant differential equations

不变微分方程