It is possible to approach the majority of simple and mixed base disorders using only four simple equations and two memorized numbers (0.08and 0.03).

仅用四个简单的公式和两个需要记忆的数字(0.08和0.03)就可能处理多数单纯性和混合性的酸碱平衡紊乱。

属类：化学及生命科学-生物化学-代偿基础

The equations of electromagnetism weathered the revolution of relativity unchanged

经受过相对论变革之后的电磁学方程并没有变化。

属类：综合句库--

The groups of the solvable equations are commutative

可解方程的群都是交换群。

属类：综合句库--

The unsaturated equations may be written with moisture content and potential as the dependent variables

可以把含水量和势作为应变量来写非饱和方程。

属类：综合句库--

Moreover equations of degree higher than quartic often arise in equilibrium calculations

况且,在平衡计算中常常发生比四次方程还高的高次方程。

属类：综合句库--

An example is where f(x)is known and j(t)is to be found, given certain conditions on f. Such equations are useful in solving differential equations.

例如:其中f(x)是已知的而φ(t)是未知,给予f在特定的情况下。这种方程式有助于解微分方程式。

属类：自然科学-数学-

Roger can solve quadratic equations as easy as falling off a log.

罗杰能轻而易举地解二次方程式。

属类：综合句库--

macarthur surmised that competition equations should be considered as first elements of a Taylor series

麦克阿瑟推测,竟争方程应被看作为泰勒级数的首要元素。

属类：综合句库--

Maxwell's field equations described this measurable disturbance of the medium without explicitly discussing the ether itself

麦克斯韦电磁场方程描写了媒质的这种可测量的扰动,而不去详细讨论以太本身。

属类：综合句库--

The maxwell equations (1)-(4)connect the five basic quantities E. H. B. D and J

麦克斯韦方程(1)-(4)描写了5个基本量E．H．B．D和J之间的关系。

属类：综合句库--

The equations describing a single-effect evaporator are developed in the following manner

描述单效蒸发器的方程,用下述方法推导。

属类：综合句库--

The broad question of which equations are solvable by algebraic operations was definitely and comprehensively answered by Galois

哪些方程可用代数运算求解,这个重要问题由Galois明确而透彻地回答了。

属类：综合句库--

The equations of equilibrium and kinematic relations are independent of the type of material

平衡方程和运动学关系式是与材料类无关的。

属类：综合句库--

Its value lies in its ability to simplify intractable differential equations (subject to particular boundary conditions)by transforming the derivatives and boundary conditions into terms of an algebraic equation that may easily be solved.

其值视简化为无多项式算法之微分方程式(符合特殊的边界条件)的能力而定,方法是把导数和边界条件变换为易解之代数方程式的项。

属类：自然科学-数学-

The rules for determining stoichiometric relationships are based on the laws of conservation (see conservation law)of mass and energy and the law of combining weights (see equivalent weight)or volumes. The tools used are chemical formulas, chemical equations , atomic weights, and molecular weights or formula weights.

确定化学计量关系法则的基础是质量守恒和能量守恒定律,以及化合重量或化合体积定律。所用的工具有化学式、化学反应式、原子量以及分子量或式量。

属类：化学及生命科学-化学-

The simplest method for evaluating these equations , however, is similar to that used for a respiratory acidosis:

然而评价这些公式最简单的方法与用于呼吸性酸中毒的相似:

属类：化学及生命科学-生物化学-代偿基础

If the variables are replaced by vectors, functions, or derivatives, the equation becomes a linear transformation. A system of equations of this type is a system of linear transformations. Because it shows when such a system has a solution and how to find it, linear algebra is essential to the theory of mathematical analysis and differential equations.

如果其中的变量是向量、函数或者导数,那么该方程式就成为线性变换。这类的方程式组是线性变换系统,因为它能指出这样一个系统何时有解以及如何求解,所以线性代数对数学分析和微分方程式理论都很重要。

属类：自然科学-数学-

In mathematical analysis, an integral transform useful in solving certain types of partial differential equations .

数学分析中的一种积分变换,可用来解决特定类型的偏微分方程式。

属类：自然科学-数学-

In mathematics, an integral transform useful in solving differential equations . The Laplace transform of a function is found by integrating the product of that function and the exponential function e-pt over the interval from zero to infinity.

数学中对解微分方程式的一种有用的积分变换。一个函数的拉普拉斯变换是这样求得的:取该函数与指数函数e-pt的乘积,求这个乘积从零到无穷大的积分。

属类：自然科学-数学-

In mathematics, a topological space with a family of local coordinate systems related to each other by certain classes of coordinate transformations. Manifolds occur in algebraic geometry, differential equations , and classical dynamics. .

数学中指装配了一族局部坐标系的拓扑空间,这些局部坐标系之间由特定的坐标变换相互联系。流形出现于代数几何、微分方程式和经典动力学中。

属类：自然科学-数学-

While many aspects of subatomic physics can be elucidated by hand-waving and analogies, a proper understanding requires equations

虽然亚原子物理学的许多概念可以用手势和类比来说明,但要真正理解还需要公式。

属类：综合句库--

Response equations for stochastic problems are again taken to be those given in(1-46)

随机问题的输出方程还是取方程(1-46)所给定的那种形式。

属类：综合句库--

The assumed linearity of these equations can be related to the uniformity of space and time

所假定的这些方程的线性,可归因于空间和时间的均匀性。

属类：综合句库--

He never can get beyond simple equations .

他仅能作简单方程式

属类：综合句库--

His doctoral dissertation on differential equations connected itself with existence theorems

他论述微分方程的博士论文涉及到存在理论。

属类：综合句库--

They conclude their paper by showing how some partial differential equations and physical law can be expressed in tensor form

他们在文章的末尾指出了如何把某些偏微分方程及物理规律表示成张量的形式。

属类：综合句库--

They are studied for their global properties by the methods of algebra and algebraic topology and form a natural domain for the global analysis of differential equations .

它们的整体性质用代数和代数拓扑的方法进行研究,并且形成微分方程式的整体分析的一个自然的领域。

属类：自然科学-数学-

That leads to biquadratic equations for solution

它们又引出待解的双二次方程。

属类：综合句库--

The degree to which the pH is returned toward normal can be predicted by certain equations that apply to each type of primary change.

通过使用不同类型的原发性变化的公式,可以预测血液pH值趋于正常的程度。

属类：化学及生命科学-生物化学-酸碱平衡生理学

To solve the equations these functional dependences must be determined by empirical or other means

为解这些方程,必须用经验的或其他的方法来确定这些函数的相关性。

属类：综合句库--