algebraic

简明释义

英[ˌældʒɪˈbreɪɪk]美[ˌældʒɪˈbreɪɪk]

adj. [数] 代数的；关于代数学的

英英释义

单词用法

同义词

反义词

例句

1.Subjects were discussed and dispensed with through algebraic means, but calculus was not used.

主题进行了讨论，并免除通过代数方法，但不是用来演算。

2.The discretized tri-diagonal linear algebraic equations are solved with ADI method.

离散后的三对角线性代数方程组用adi方法求解。

3.This algebraic notation of the image allows the entire image to be recreated at any time.

图像的代数标记法可以在任何时间重新创建整个图像。

4.It shows the effectiveness and practicability of the approach to prove algebraic identies with combinatorial analysis.

说明了用组合分析方法证明代数恒等式的有效性和实用性。

5.I find this latter CSE especially cool, as I've seen real programmers miss this sort of algebraic simplification in real code.

我发现增加的这个CSE特别有用，因为我见过编程人员在实际的代码中没有进行这种代数简化。

6.When reconstructing images with algebraic reconstruction technique (ART), the accuracy and speed are two important aspects for researching.

在用代数重建技术(ART)进行图像重建时，其重建精度及速度始终是研究的两个重要方面。

7.You can use algebraic 代数的 methods to find the roots of a polynomial.

你可以使用 代数的 方法来找到多项式的根。

8.The teacher explained that an algebraic 代数的 expression can be simplified using various techniques.

老师解释说，代数的 表达式可以使用各种技巧来简化。

9.In computer science, algebraic 代数的 structures are important for data modeling.

在计算机科学中，代数的 结构对于数据建模非常重要。

10.In mathematics class, we learned how to solve algebraic 代数的 equations.

在数学课上，我们学习了如何解 代数的 方程。

11.The algebraic 代数的 formula for the area of a rectangle is length times width.

矩形面积的 代数的 公式是长度乘以宽度。

作文

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols. It allows us to represent problems in a generalized form, which can be solved using various techniques. One of the key concepts in algebra is the use of algebraic expressions. An algebraic expression is a combination of numbers, variables, and operators that represents a mathematical relationship. For instance, the expression 2x + 3 is an algebraic expression where 'x' is a variable, and the numbers 2 and 3 are constants. Understanding algebraic expressions is crucial because they serve as the foundation for solving equations and inequalities. When we encounter real-life problems, we often translate them into algebraic forms to find solutions. For example, if we want to calculate the total cost of buying 'x' items at a price of $5 each, we can express this situation with the algebraic equation C = 5x, where C represents the total cost. The beauty of algebraic expressions lies in their ability to simplify complex problems. By manipulating these expressions through operations such as addition, subtraction, multiplication, and division, we can derive new insights. For example, if we have the algebraic expression 4x - 2 + 3x, we can combine like terms to simplify it to 7x - 2. This simplification process is essential in making calculations easier and more efficient. Moreover, algebraic concepts extend beyond mere expressions. They also include equations, which are statements that two algebraic expressions are equal. Solving these equations involves finding the value of the variable that makes the equation true. For instance, if we set the equation 2x + 3 = 11, we can solve for x by isolating the variable, leading us to the solution x = 4. This process showcases the power of algebraic thinking in problem-solving. In addition to its practical applications, algebraic reasoning fosters critical thinking skills. It encourages individuals to approach problems logically and systematically. For students, mastering algebraic concepts not only prepares them for advanced mathematics but also equips them with skills applicable in various fields, including science, engineering, and economics. Furthermore, algebraic methods are instrumental in computer science and programming. Algorithms often rely on algebraic principles to process data and solve complex problems efficiently. Understanding algebraic structures helps programmers create more effective algorithms, leading to better software development. In conclusion, the term algebraic encompasses a wide range of mathematical concepts that play a vital role in our everyday lives. From simplifying expressions to solving equations, algebraic reasoning is an essential skill that enhances our problem-solving abilities. As we continue to explore the world of mathematics, embracing algebraic ideas will undoubtedly open doors to new possibilities and innovations.

代数是数学的一个分支，它处理符号及其操作规则。它使我们能够以一般化的形式表示问题，这可以通过各种技术来解决。代数中的一个关键概念是使用代数表达式。代数表达式是数字、变量和运算符的组合，表示数学关系。例如，表达式2x + 3就是一个代数表达式，其中'x'是一个变量，数字2和3是常数。理解代数表达式是至关重要的，因为它们构成了解决方程和不等式的基础。当我们遇到现实生活中的问题时，我们通常将其转化为代数形式以找到解决方案。例如，如果我们想计算购买'x'个每个价格为5美元的物品的总成本，我们可以用代数方程C = 5x来表示这种情况，其中C代表总成本。代数表达式的美在于它们能够简化复杂的问题。通过加法、减法、乘法和除法等运算操作这些表达式，我们可以得出新的见解。例如，如果我们有代数表达式4x - 2 + 3x，我们可以合并同类项将其简化为7x - 2。这个简化过程对使计算变得更容易和高效是至关重要的。此外，代数概念不仅限于简单的表达式。它们还包括方程，即两个代数表达式相等的陈述。解决这些方程涉及找到使方程成立的变量的值。例如，如果我们设定方程2x + 3 = 11，我们可以通过隔离变量来求解x，从而得到解x = 4。这个过程展示了代数思维在解决问题中的力量。除了实际应用，代数推理还培养了批判性思维能力。它鼓励个人以逻辑和系统的方式处理问题。对于学生来说，掌握代数概念不仅为他们准备了高级数学，还使他们具备了在科学、工程和经济等各个领域中适用的技能。此外，代数方法在计算机科学和编程中也具有重要意义。算法通常依赖于代数原理来处理数据并有效地解决复杂问题。理解代数结构帮助程序员创建更有效的算法，从而促进更好的软件开发。总之，术语代数涵盖了一系列在我们日常生活中发挥重要作用的数学概念。从简化表达式到解决方程，代数推理是一种增强我们解决问题能力的基本技能。随着我们继续探索数学的世界，拥抱代数思想无疑会为新的可能性和创新打开大门。