Bijection in a sentence
Synonym: correspondence, mapping.
Meaning: A one-to-one correspondence between two sets; each element in one set pairs with exactly one in another.
(1) A bijective function is a bijection.
(2) The biunique function is a bijection.
(3) Bilection is used to define bijection.
(4) Bijection is a key concept in set theory.
(5) A bijection is a function that is bijective.
(6) A bijection is a function that is invertible.
(7) Bijection is a powerful tool in combinatorics.
(8) A bijection preserves the cardinality of sets.
(9) A bijection is a one-to-one and onto function.
(10) The inverse of a bijection is also a bijection.
Bijection sentence
(11) A bijection is a type of function in mathematics.
(12) A bijection is also known as a bijective function.
(13) A bijection is a fundamental concept in set theory.
(14) A bijection is a function that has a unique inverse.
(15) A bijection is a type of function that is invertible.
(16) Composing two bijections results in another bijection.
(17) The concept of bijection is fundamental in mathematics.
(18) A bijection is a function that is a one-to-one mapping.
(19) Bijection is often used to prove the cardinality of sets.
(20) A bijection preserves the structure and properties of sets.
Bijection make sentence
(21) A bijection is a function that is both one-to-one and onto.
(22) A bijection is a one-to-one correspondence between two sets.
(23) A bijection is a function that is a bijective correspondence.
(24) A bijection is a function that is a one-to-one correspondence.
(25) Denumerable sets can be used to study the concept of bijection.
(26) A bijection is a useful tool for proving mathematical theorems.
(27) A bijection is a function that preserves the structure of sets.
(28) A bijection is a function that is both injective and surjective.
(29) Bijection is used in cryptography to ensure secure communication.
(30) A bijection is a type of function that is both one-to-one and onto.
Sentence of bijection
(31) The bijective nature of a function guarantees that it is a bijection.
(32) If a function is not a bijection, it cannot have an inverse function.
(33) If a function is not a bijection, it may still have a partial inverse.
(34) A bijection can be thought of as a reversible mapping between two sets.
(35) Bijection is a concept that is extensively studied in abstract algebra.
(36) A bijection is a type of function that is commonly used in mathematics.
(37) A bijection can be used to show that two sets have the same cardinality.
(38) A bijection is a type of function that preserves the structure of a set.
(39) A bijection is a type of function that is often used in computer science.
(40) A bijection between two sets implies that they have the same cardinality.
Bijection meaningful sentence
(41) The concept of bijection is applicable in various branches of mathematics.
(42) A bijection between two sets is also known as a one-to-one correspondence.
(43) Bijection is a concept that is applicable in both finite and infinite sets.
(44) If a function is not a bijection, it may still have a left or right inverse.
(45) The bijective property is often used to establish a bijection between two sets.
(46) Even though a bijection is a type of function, not all functions are bijections.
(47) If a function is a bijection, it means that it is both injective and surjective.
(48) If a function is a bijection, it means that it is both bijective and invertible.
(49) A bijection is a special type of function that is both injective and surjective.
(50) A bijection can be visualized as a perfect matching between elements of two sets.
Bijection sentence examples
(51) The concept of bijection is used in mathematical proofs to establish equivalence.
(52) Although a bijection is a one-to-one and onto function, it may not be continuous.
(53) The concept of bijection is closely related to the concept of bijective functions.
(54) In order for a function to be a bijection, it must be both injective and surjective.
(55) The existence of a bijection between two sets implies they have the same cardinality.
(56) A bijection is a type of function that is used to prove that two sets are isomorphic.
(57) Although a bijection is a one-to-one and onto function, it can be difficult to prove.
(58) Bilections are often used to demonstrate the existence of a bijection between two sets.
(59) The bijection between the set of rational numbers and the set of integers is intriguing.
(60) A bijection between two sets is a type of function that is both injective and surjective.
Sentence with bijection
(61) The existence of a bijection between two sets implies that they have the same cardinality.
(62) The bijection between the set of natural numbers and the set of even numbers is well-known.
(63) The bijection between the set of real numbers and the set of points on a line is intuitive.
(64) A bijection can be represented as a function with both injective and surjective properties.
(65) If two sets have the same cardinality, it means that there exists a bijection between them.
(66) A bijection can be used to establish a one-to-one correspondence between elements of two sets.
(67) A bijection is a type of function that is used to establish a correspondence between two sets.
(68) If a function is not a bijection, it may not have an inverse function that is also a function.
(69) The bijection between the set of positive integers and the set of prime numbers is fascinating.
(70) A bijection is a function that maps each element of one set to a unique element of another set.
Use bijection in a sentence
(71) The bijection between the set of complex numbers and the set of points in a plane is fascinating.
(72) The bijection between the set of natural numbers and the set of whole numbers is straightforward.
(73) The concept of a bijection is important in many areas of mathematics, including topology and algebra.
(74) A bijection is a type of function that is used to establish a bijective relationship between two sets.
(75) A bijection between two sets is a special case of a function that preserves the order of the elements.
(76) The bijection between the set of vertices and the set of edges in a graph is important in graph theory.
(77) A bijection is a type of function that is used to establish a one-to-one correspondence between two sets.
(78) Although a bijection is a type of function, it is not the only type of function that can have an inverse.
(79) A bijection is a fundamental concept in set theory, and it is used to compare the sizes of different sets.
(80) A bijection is a powerful tool in mathematics, and it is used to prove many important theorems and results.
Sentence using bijection
(81) Even though a bijection is a type of function, it is not always possible to find a bijection between two sets.
(82) A bijection is a type of function that is used to establish a one-to-one and onto relationship between two sets.
(83) The bijection between the set of binary strings and the set of positive integers is widely used in computer science.
(84) Although a bijection is a type of function, it is not always possible to find a bijection between two infinite sets.
(85) A bijection is a type of function that is used to establish a bijective relationship between two sets of equal cardinality.
(86) A bijection is a type of function that is used to establish a one-to-one correspondence between two sets of equal cardinality.
(87) Even though a bijection is a type of function, it has some unique properties that distinguish it from other types of functions.
(88) If a function is a bijection, it means that it is both injective and surjective, which are important properties in mathematics.
(89) When a bijection exists between two sets, it means that each element in one set corresponds to exactly one element in the other set.
(90) A bijection is a type of function that is used to establish a one-to-one and onto relationship between two sets of equal cardinality.
(91) A bijection is a type of function that maps each element of one set to a unique element of another set, and it is commonly used in mathematics.
(92) A bijection can be thought of as a perfect matching between two sets, where each element in one set is paired with a unique element in the other set.
Bijection meaning
Bijection is a mathematical term that refers to a function that maps each element of one set to a unique element of another set. In simpler terms, it is a one-to-one correspondence between two sets. If you are studying mathematics or computer science, you may come across this term frequently. Here are some tips on how to use the word bijection in a sentence:
1. Define the term: Before using the word bijection in a sentence, it is important to understand its meaning. You can define it as a function that establishes a one-to-one correspondence between two sets. Example: A bijection is a function that maps each element of a set to a unique element of another set.
2. Use it in a mathematical context: Bijection is a term that is commonly used in mathematics. You can use it in a sentence to describe a function that is both injective and surjective. Example: The function f(x) = x^2 is not a bijection because it is not injective.
3. Use it in a computer science context: Bijection is also used in computer science to describe a function that maps data from one set to another. You can use it in a sentence to describe a data structure that uses a bijection. Example: The hash table uses a bijection to map keys to values.
4. Use it in a real-life context: Although bijection is a mathematical term, you can use it in a sentence to describe a real-life situation where there is a one-to-one correspondence between two sets. Example: The relationship between a person's social security number and their identity is a bijection.
5. Use it in a formal context: Bijection is a formal term that is commonly used in academic writing. You can use it in a sentence to describe a mathematical proof or theorem. Example: The proof of the theorem relies on the use of a bijection between two sets.
In conclusion, bijection is a mathematical term that can be used in a variety of contexts. Whether you are studying mathematics, computer science, or simply want to describe a real-life situation, these tips can help you use the word bijection in a sentence effectively.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Bijection. They do not represent the opinions of TranslateEN.com.