law of closure Sentence Examples
- The law of closure in mathematics states that any set of elements can be combined to form a new set.
- The law of closure governs the operation of addition, subtraction, multiplication, and division in the set of real numbers.
- Under the law of closure, the sum of two real numbers is always a real number.
- The product of two positive integers is another positive integer, demonstrating the law of closure in the set of positive integers.
- The set of all odd integers is not closed under addition because the sum of two odd integers is even.
- The empty set is closed under all operations because it does not contain any elements to combine.
- The inverse of an element under a given operation may not exist in the same set, violating the law of closure.
- The set of all rational numbers is closed under addition and multiplication but not under subtraction or division.
- The law of closure ensures that the result of a valid operation within a set remains within that set.
- Sets that satisfy the law of closure for a particular operation are called algebraic structures or closed sets.
law of closure Meaning
law of closure (n)
a Gestalt principle of organization holding that there is an innate tendency to perceive incomplete objects as complete and to close or fill gaps and to perceive asymmetric stimuli as symmetric
Synonyms & Antonyms of law of closure
No Synonyms and anytonyms found
FAQs About the word law of closure
a Gestalt principle of organization holding that there is an innate tendency to perceive incomplete objects as complete and to close or fill gaps and to perceiv
No synonyms found.
No antonyms found.
The law of closure in mathematics states that any set of elements can be combined to form a new set.
The law of closure governs the operation of addition, subtraction, multiplication, and division in the set of real numbers.
Under the law of closure, the sum of two real numbers is always a real number.
The product of two positive integers is another positive integer, demonstrating the law of closure in the set of positive integers.
