biconditional

简明释义

英[ˌbaɪkənˈdɪʃənəl]美[bɪkɑːnˈdɪʃənəl]

adj. [数] 双条件的，双重条件或情况的

英英释义

单词用法

同义词

反义词

例句

1.Reporter learned the other day from the insider place that Nie Yuan and will love one another two year biconditional gate female apprentice Yang Guang to marry officially.

记者日前从知情人士处获悉，聂远将和相恋两年的同门师妹杨光正式结婚。

2.Reporter learned the other day from the insider place that Nie Yuan and will love one another two year biconditional gate female apprentice Yang Guang to marry officially.

记者日前从知情人士处获悉，聂远将和相恋两年的同门师妹杨光正式结婚。

3.In programming, an if-and-only-if condition is a biconditional check.

在编程中，只有当且仅当条件成立时，才是一个双条件检查。

4.If you pass the exam, then you will graduate; this is a biconditional statement.

如果你通过考试，那么你将毕业；这是一个双条件陈述。

5.The biconditional operator is often represented by a double-headed arrow in logical expressions.

在逻辑表达式中，双条件运算符通常用双箭头表示。

6.In logic, a statement is considered biconditional if it is true in both directions.

在逻辑中，如果一个陈述在两个方向上都为真，则该陈述被视为双条件。

7.The definition of a biconditional relationship can be seen in mathematical proofs.

在数学证明中可以看到双条件关系的定义。

作文

In the realm of logic and mathematics, understanding the concept of biconditional is essential for grasping more complex ideas. A biconditional statement is a logical connective that links two statements together in such a way that both statements are true or both are false. This means that if one statement is true, the other must also be true, and if one is false, the other must also be false. The symbol used to represent a biconditional is '↔', which indicates that the truth of one statement is equivalent to the truth of another.To illustrate this concept, consider the example of a simple mathematical statement: "A triangle is equilateral if and only if all its sides are equal." In this case, we can express it as a biconditional statement: "A triangle is equilateral ↔ all its sides are equal." Here, the truth of the first part (the triangle being equilateral) is dependent on the truth of the second part (all sides being equal), and vice versa. If one is true, the other is automatically true, and if one is false, the other one must also be false.The biconditional is particularly important in mathematical proofs and definitions. It allows mathematicians and logicians to create precise arguments and establish clear relationships between different concepts. For instance, in geometry, the properties of shapes can often be defined using biconditional statements, providing a solid foundation for further exploration and understanding.Another area where biconditional statements are prevalent is in programming and computer science. Logical operations often rely on biconditional conditions to determine the flow of a program. For example, in an if-else statement, the program may execute a certain block of code if a condition is true and another block if it is false. However, when a biconditional condition is applied, the program might require both conditions to be true or both to be false before proceeding. This ensures that the logic of the program remains consistent and reliable.In everyday language, we often encounter biconditional statements, even if we do not realize it. Phrases like "You can go out if and only if you finish your homework" are examples of biconditional logic in action. This means that finishing the homework is a necessary and sufficient condition for going out. If the homework is not finished, going out is not an option, and if the homework is done, going out becomes possible.The understanding of biconditional statements enhances critical thinking skills by encouraging individuals to analyze the relationships between different propositions. It promotes a deeper comprehension of cause-and-effect relationships and the interdependence of various factors in both theoretical and practical scenarios.In conclusion, the concept of biconditional is fundamental in logic, mathematics, and everyday reasoning. By recognizing the significance of biconditional statements, we can improve our analytical abilities and enhance our understanding of complex relationships. Whether in academic pursuits or daily decision-making, the ability to identify and apply biconditional logic is an invaluable skill that fosters clarity and precision in our thought processes.

在逻辑和数学领域，理解双条件的概念对于掌握更复杂的思想至关重要。双条件语句是一种逻辑连接词，将两个语句链接在一起，使得这两个语句要么都为真，要么都为假。这意味着如果一个语句为真，另一个也必须为真；如果一个为假，另一个也必须为假。用于表示双条件的符号是'↔'，它表明一个语句的真实性与另一个语句的真实性是等价的。为了说明这个概念，可以考虑一个简单的数学语句的例子：“如果且仅如果三角形是等边的，那么它的所有边都是相等的。”在这种情况下，我们可以将其表达为一个双条件语句：“三角形是等边的 ↔ 所有边相等。”在这里，第一个部分（三角形是等边的）的真实性依赖于第二个部分（所有边相等）的真实性，反之亦然。如果一个是真的，另一个就自动是真的；如果一个是假的，另一个也必须是假的。双条件在数学证明和定义中尤为重要。它使得数学家和逻辑学家能够创建精确的论证，并建立不同概念之间的清晰关系。例如，在几何学中，形状的性质通常可以使用双条件语句来定义，为进一步探索和理解提供了坚实的基础。另一个双条件语句普遍存在的领域是编程和计算机科学。逻辑操作通常依赖于双条件条件来决定程序的流程。例如，在if-else语句中，程序可能在某个条件为真时执行特定的代码块，而在条件为假时执行另一个代码块。然而，当应用双条件条件时，程序可能要求两个条件都为真或都为假才能继续。这确保了程序逻辑的一致性和可靠性。在日常语言中，我们经常会遇到双条件语句，即使我们没有意识到它。像“只有在你完成作业后，你才能出去”这样的短语就是双条件逻辑在行动中的例子。这意味着完成作业是出去的必要和充分条件。如果作业没有完成，出去就不是一个选项；而如果作业完成了，出去就成为可能。对双条件语句的理解通过鼓励个人分析不同命题之间的关系来增强批判性思维能力。它促进了对因果关系和各种因素在理论和实践场景中的相互依赖性的更深入理解。总之，双条件的概念在逻辑、数学和日常推理中是基础性的。通过认识到双条件语句的重要性，我们可以提高我们的分析能力，增强对复杂关系的理解。无论是在学术追求还是日常决策中，识别和应用双条件逻辑的能力都是一种宝贵的技能，能够增强我们思维过程中的清晰度和准确性。