equipendency (Meaning)
equipendency (n.)
The act or condition of hanging in equipoise; not inclined or determined either way.
Synonyms & Antonyms of equipendency
No Synonyms and anytonyms found
equipendency Sentence Examples
- In the realm of mathematics, the concept of equipotency delves into the exploration of sets and their cardinalities.
- The equipendency of two sets hinges on the existence of a bijective function that establishes a one-to-one correspondence between their elements.
- When sets are equipotent, it signifies that they possess the same cardinality, implying that they contain an equal number of elements.
- In the context of abstract algebra, equipotency plays a pivotal role in establishing the existence of isomorphisms between algebraic structures.
- The study of equipotency extends beyond finite sets, encompassing infinite sets as well, leading to intricate investigations in set theory.
- Equipotency serves as a fundamental tool in cardinal arithmetic, enabling mathematicians to perform operations such as addition and multiplication of cardinalities.
- Cantor's diagonal argument, a cornerstone of set theory, relies on the notion of equipotency to demonstrate the existence of uncountable sets.
- The continuum hypothesis, a long-standing unsolved problem in mathematics, centers around the question of whether the cardinality of the real numbers is equipotent to that of the natural numbers.
- In the realm of computer science, equipotency finds applications in areas such as graph theory, combinatorial optimization, and the design of efficient algorithms.
- The concept of equipotency has far-reaching implications in various branches of mathematics and its applications, serving as a cornerstone for exploring the properties and relationships between sets and their elements.
FAQs About the word equipendency
The act or condition of hanging in equipoise; not inclined or determined either way.
No synonyms found.
No antonyms found.
In the realm of mathematics, the concept of equipotency delves into the exploration of sets and their cardinalities.
The equipendency of two sets hinges on the existence of a bijective function that establishes a one-to-one correspondence between their elements.
When sets are equipotent, it signifies that they possess the same cardinality, implying that they contain an equal number of elements.
In the context of abstract algebra, equipotency plays a pivotal role in establishing the existence of isomorphisms between algebraic structures.
