algebraically

简明释义

英[ˌældʒɪˈbreɪkli]美[ˌældʒəˈbreɪɪkli]

adv. 用代数方法

英英释义

单词用法

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例句

1.In this paper, we discuss the classification of 3-dimensionally commutative algebras on algebraically closed field.

研究了代数闭域上三维交换代数的分类。

2.Using a set of rules to drive the matrix, the process for constructing the chain code is algebraically implemented.

采用一组规则驱动该矩降，能够使转换过程用代数方法实现。

3.In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.

第一章中，我们研究了剩余域是代数闭域的离散赋值环上的完全分次代数；

4.Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.

对气液两相非定常一元流动方程组导出了两套代数显式解析解。

5.This paper proves that any one-step and two-step hybrid methods with explicit predictor is not algebraically stable.

本文证明了基于显式预报的一、二步混合方法不是代数稳定的。

6.The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.

证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。

7.When you don't know how to solve a problem algebraically, work backwards and plug in answer choices.

如果你不会用代数方法解题，把答案分别代进去算算就知道了。

8.Two algebraically explicit analytical solutions of the governing equation set for the coupled heat and mass transfer process of rapid drying in porous media are derived.

对多孔介质快速干燥过程的传热与传质耦合方程组导出了两套代数显式解析特解。

9.We solve for a steady state algebraically.

我们用代数方法解决A稳态。

10.The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.

证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。

11.She demonstrated how to simplify the expression algebraically step by step.

她逐步演示了如何代数地简化表达式。

12.The function can be expressed algebraically using polynomial terms.

这个函数可以使用多项式项代数地表示。

13.You can solve this equation algebraically by isolating the variable on one side.

你可以通过将变量隔离到一侧来代数地解决这个方程。

14.The problem can be solved algebraically or graphically, depending on your preference.

这个问题可以选择代数地或图形方式解决，这取决于你的偏好。

15.To find the roots of the quadratic equation, we should approach it algebraically.

为了找到二次方程的根，我们应该代数地处理它。

作文

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. It is essential for solving equations and understanding relationships between different quantities. In this essay, I will discuss how we can solve problems algebraically, which means using algebraic methods and principles to find solutions. Algebraically solving a problem often involves forming equations based on the information given and then manipulating these equations to find the unknown variables. For instance, consider the equation 2x + 3 = 7. To solve this algebraically, we would first isolate the variable x. We can do this by subtracting 3 from both sides of the equation, which gives us 2x = 4. Next, we divide both sides by 2 to find that x = 2. This process illustrates how algebraically solving an equation requires a systematic approach that follows specific mathematical rules.Moreover, algebraically solving problems is not limited to simple equations. We can also apply these methods to more complex scenarios, such as systems of equations. For example, if we have two equations: 2x + y = 10 and x - y = 1, we can solve them algebraically by using substitution or elimination methods. If we choose the substitution method, we can express y in terms of x from the first equation: y = 10 - 2x. Then, we substitute this expression into the second equation, leading to x - (10 - 2x) = 1. Simplifying this gives us 3x - 10 = 1, and further solving yields x = 11/3. We can then substitute this value back into either original equation to find y.The beauty of solving problems algebraically lies in its precision and clarity. Unlike other methods, such as graphing, which can provide approximate solutions, algebraically derived answers are exact. This is particularly important in fields like engineering, physics, and economics, where precise calculations are crucial.Furthermore, algebraically solving problems helps develop critical thinking skills. It encourages individuals to break down complex problems into simpler parts, analyze relationships, and apply logical reasoning. These skills are not only valuable in mathematics but are also applicable in everyday life situations, such as budgeting, planning, and decision-making.In conclusion, solving problems algebraically is a fundamental skill that enhances our understanding of mathematics and its applications. It allows us to approach problems systematically, ensuring accuracy and fostering analytical thinking. As we continue to learn and practice algebraically solving equations, we build a strong foundation for tackling more advanced mathematical concepts and real-world challenges.

代数是数学的一个分支，涉及符号及其操作规则。它对于解决方程和理解不同数量之间的关系至关重要。在这篇文章中，我将讨论我们如何可以通过代数的方法来解决问题，这意味着使用代数方法和原则来找到解决方案。代数解决问题通常涉及根据给定信息形成方程，然后操纵这些方程以找到未知变量。例如，考虑方程2x + 3 = 7。要通过代数方法解决这个问题，我们首先需要孤立变量x。我们可以通过从方程两边减去3来做到这一点，这样我们得到2x = 4。接下来，我们将两边都除以2，得出x = 2。这个过程说明了如何通过代数方法解决方程需要遵循特定的数学规则。此外，通过代数方法解决问题并不限于简单的方程。我们还可以将这些方法应用于更复杂的场景，例如方程组。例如，如果我们有两个方程：2x + y = 10和x - y = 1，我们可以通过使用代入法或消元法来代数地解决它们。如果我们选择代入法，我们可以从第一个方程中将y表示为x的函数：y = 10 - 2x。然后，我们将这个表达式代入第二个方程，得到x - (10 - 2x) = 1。简化后得到3x - 10 = 1，进一步求解得x = 11/3。然后我们可以将这个值代入任一原方程以找到y。通过代数方法解决问题的美妙之处在于其精确性和清晰性。与其他方法（如图形法）提供近似解不同，通过代数推导出的答案是确切的。这在工程、物理和经济学等领域尤为重要，因为精确计算至关重要。此外，通过代数方法解决问题有助于培养批判性思维能力。它鼓励个人将复杂问题分解为更简单的部分，分析关系，并运用逻辑推理。这些技能不仅在数学中有价值，而且在日常生活中，如预算、规划和决策中也适用。总之，通过代数方法解决问题是一项基本技能，它增强了我们对数学及其应用的理解。它使我们能够系统地处理问题，确保准确性并促进分析思维。随着我们继续学习和实践通过代数方法解决方程，我们为应对更高级的数学概念和现实世界的挑战奠定了坚实的基础。