Some examples of word usage: existential quantifier
1. The existential quantifier (∃) is used in logic to indicate that there exists at least one element in a set that satisfies a certain condition.
(存在量词(∃)在逻辑中用来表示存在至少一个元素在一个集合中满足某种条件。)
2. In mathematical notation, the existential quantifier is often used in conjunction with the universal quantifier to express statements about sets of elements.
(在数学符号中,存在量词经常与全称量词一起使用,用来表达关于元素集合的陈述。)
3. The existential quantifier is typically represented as the symbol (∃) followed by a variable and a predicate that defines the condition.
(存在量词通常表示为符号(∃),后面跟着一个变量和定义条件的谓词。)
4. When using the existential quantifier, it is important to specify the domain over which the variable ranges in order to properly interpret the statement.
(在使用存在量词时,重要的是要指定变量的范围,以便正确解释陈述。)
5. The existential quantifier allows us to make statements about the existence of objects without having to specify exactly which objects satisfy the condition.
(存在量词使我们能够对对象的存在性做出陈述,而不必准确指定哪些对象满足条件。)
6. In formal logic, the existential quantifier is a fundamental tool for expressing the idea that there is at least one object that meets a certain criteria.
(在形式逻辑中,存在量词是表达至少有一个对象符合某些标准的基本工具。)