Use "Cardinality" in a sentence | "Cardinality" sentence examples

Cardinality is a term used in mathematics and computer science to describe the size or number of elements in a set. It is an important concept in these fields as it helps to determine the complexity of algorithms and data structures. In this article, we will provide tips on how to use the word cardinality in a sentence.

1. Define the term: Before using the word cardinality in a sentence, it is important to understand its meaning. Cardinality refers to the number of elements in a set.

For example, the cardinality of the set {1, 2, 3} is 3.

2. Use it in a mathematical context: Cardinality is commonly used in mathematics to describe the size of a set.

For example, "The cardinality of the set of all even numbers is infinite."

3. Use it in a computer science context: In computer science, cardinality is used to describe the number of distinct values in a database column.

For example, "The cardinality of the 'gender' column in the database is two, male and female."

4. Use it in a statistics context: In statistics, cardinality is used to describe the number of unique values in a dataset.

For example, "The cardinality of the 'age' variable in the dataset is 50, ranging from 18 to 67."

5. Use it in a sentence with other mathematical terms: Cardinality can be used in a sentence with other mathematical terms to describe a concept.

For example, "The cardinality of the power set of a set with n elements is 2^n."

6. Use it in a sentence with other computer science terms: Cardinality can also be used in a sentence with other computer science terms to describe a concept.

For example, "The high cardinality of the 'zip code' column in the database makes it difficult to index efficiently."

7. Use it in a sentence with other statistics terms: Cardinality can be used in a sentence with other statistics terms to describe a concept.

For example, "The high cardinality of the 'city' variable in the dataset makes it difficult to perform statistical analysis."

In conclusion, cardinality is a term used in mathematics, computer science, and statistics to describe the size or number of elements in a set. It is an important concept in these fields and can be used in a variety of contexts. By following these tips, you can effectively use the word cardinality in a sentence.

In the remaining portion of this article, additional example sentences are presented to demonstrate the usage of the term "Cardinality" within sentences.

"Cardinality"

(1) The cardinality of the empty set is zero.

(2) Bijections preserve the cardinality of sets.

(3) A bilection preserves the cardinality of sets.

(4) A bijection preserves the cardinality of sets.

(5) Denumerable sets can be used to study cardinality.

(6) Set theory is used to study the cardinality of sets.

(7) The irreducibility of a set can impact its cardinality.

(8) A bijective function preserves the cardinality of sets.

(9) The cardinality of the set of integers is also infinite.

(10) Bijection is often used to prove the cardinality of sets.

Sentence For "Cardinality"

(11) The cardinality of the set of natural numbers is infinite.

(12) Naturals can be used to represent the cardinality of a set.

(13) The cardinality of the set of all real numbers is infinite.

(14) The nullities of the set are determined by its cardinality.

(15) The empty set is an example of a set with cardinality zero.

(16) The cardinality of the set of divisors of a number is finite.

(17) A bijective transformation preserves the cardinality of a set.

(18) The cardinality of a set can be represented by the symbol |A|.

(19) The cardinality of the set of prime numbers less than 10 is 4.

(20) The coset space G/H has the same cardinality as the subgroup H.

"Cardinality" In A Sentence

(21) The countability of a set can be determined by its cardinality.

(22) The cardinality of the power set of a set with n elements is 2^n.

(23) The cardinality of the set of even numbers is countably infinite.

(24) The cardinality of the set of factors of a number is also finite.

(25) The cardinality of the set of vowels in the English alphabet is 5.

(26) The cardinality of the set of prime numbers is countably infinite.

(27) The cardinality of the set of whole numbers is countably infinite.

(28) The multiplicities of the elements in a set affect its cardinality.

(29) The equivalence of two sets can be determined by their cardinality.

(30) The cardinality of the set of proper divisors of a number is finite.

"Cardinality" Sentence

(31) The cardinality of the set of rational numbers is countably infinite.

(32) The cardinality of the set of odd numbers is also countably infinite.

(33) The cardinality of the set of complex numbers is uncountably infinite.

(34) The cardinality of the set of subsets of a set with n elements is 2^n.

(35) The cardinality of the set of prime factors of a number is also finite.

(36) The corresponding elements in these two sets have the same cardinality.

(37) Bilections play a crucial role in understanding the cardinality of sets.

(38) The cardinality of the set of solutions to a quadratic equation can be 0

(39) The cardinality of the set of positive integers less than 100 is finite.

(40) The transfinite cardinality of the set of natural numbers is aleph-null.

"Cardinality" Sentence Examples

(41) A bijection can be used to show that two sets have the same cardinality.

(42) Bilections are bijective functions that preserve the cardinality of sets.

(43) The cardinality of the set of irrational numbers is uncountably infinite.

(44) A bijection between two sets implies that they have the same cardinality.

(45) The cardinality of the set of counting numbers is also countably infinite.

(46) The cardinality of a finite set can be determined by counting its elements.

(47) The aleph-null symbol is used to represent the cardinality of infinite sets.

(48) The cardinality of the set of negative integers less than -100 is also finite.

(49) The cardinality of the set is determined by the number of elements it contains.

(50) A semigroup can be finite or infinite, depending on the cardinality of its set.

Sentence With "Cardinality"

(51) Countably infinite sets have the same cardinality as the set of natural numbers.

(52) The cardinality of the set of proper subsets of a set with n elements is 2^n - 1.

(53) The onetomany relationship is a type of cardinality constraint in database design.

(54) Bilections are commonly used in proving results related to the cardinality of sets.

(55) The cardinality of the set of real numbers between 0 and 1 is uncountably infinite.

(56) The existence of a bijection between two sets implies they have the same cardinality.

(57) A bijective relationship between two sets implies that they have the same cardinality.

(58) The existence of a bijection between two sets implies that they have the same cardinality.

(59) If two sets have the same cardinality, it means that there exists a bijection between them.

(60) The injective property is often used in proving theorems related to cardinality and counting.

Use "Cardinality" In A Sentence

(61) The cardinality of the set of complex roots of a polynomial equation can be determined by its degree.

(62) Countably infinite sets have a cardinality that is less than or equal to that of the set of real numbers.

(63) Bessel's inequality is a result in combinatorics that relates the number of subsets of a set to its cardinality.

(64) The cardinality of the set of solutions to a system of linear equations can vary depending on the number of variables.

(65) A bijection is a type of function that is used to establish a bijective relationship between two sets of equal cardinality.

(66) A bijection is a type of function that is used to establish a one-to-one correspondence between two sets of equal cardinality.

(67) 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.

Learning English Faster Through Complete Sentences With "Cardinality"

Sentences are everywhere.
Without sentences, language doesn’t really work.

When you first started learning English, you may have memorized words such as English meaning of the word "Cardinality"; But now that you have a better understanding of the language, there’s a better way for you to learn meaning of "Cardinality" through sentence examples.

True, there are still words that you don’t know. But if you learn whole sentences with "Cardinality", instead of the word "Cardinality" by itself, you can learn a lot faster!

Focus Your English Learning On Sentences With "Cardinality".

Why Is Focusing on Sentences Important?
Sentences are more than just strings of words. They’re thoughts, ideas and stories. Just like letters build words, words build sentences. Sentences build language, and give it personality.

Again, without sentences, there’s no real communication. If you were only reading words right now, you wouldn’t be able to understand what I’m saying to you at all.

- The Word "Cardinality" in Example Sentences.
- "Cardinality" in a sentence.
- How to use "Cardinality" in a sentence.
- 10 examples of sentences "Cardinality".
- 20 examples of simple sentences "Cardinality".

All the parts of speech in English are used to make sentences. All sentences include two parts: the subject and the verb (this is also known as the predicate). The subject is the person or thing that does something or that is described in the sentence. The verb is the action the person or thing takes or the description of the person or thing. If a sentence doesn’t have a subject and a verb, it is not a complete sentence (e.g., In the sentence “Went to bed,” we don’t know who went to bed).

Four Types Of Sentence Structure.

Simple Sentences With "Cardinality"

A simple sentence with "Cardinality"contains a subject and a verb, and it may also have an object and modifiers. However, it contains only one independent clause.

Compound Sentences With "Cardinality"

A compound sentence with "Cardinality" contains at least two independent clauses. These two independent clauses can be combined with a comma and a coordinating conjunction or with a semicolon.

Complex Sentences With "Cardinality"

A complex sentence with "Cardinality" contains at least one independent clause and at least one dependent clause. Dependent clauses can refer to the subject (who, which) the sequence/time (since, while), or the causal elements (because, if) of the independent clause.

Compound-Complex Sentences With "Cardinality"

Sentence types can also be combined. A compound-complex sentence with "Cardinality" contains at least two independent clauses and at least one dependent clause.