Use "Asymptotically" in a sentence | "Asymptotically" sentence examples

Asymptotically is an adverb that is used to describe a mathematical concept where a function approaches a certain value or curve but never quite reaches it. This term is commonly used in calculus and other advanced mathematical fields, but it can also be used in everyday language to describe situations where something is approaching a limit or boundary. Here are some tips for how to use asymptotically in a sentence:

1. Use it to describe a mathematical function: Asymptotically can be used to describe the behavior of a function as it approaches a certain value or curve.

For example, you could say "The function approaches zero asymptotically as x approaches infinity."

2. Use it to describe a trend or pattern: Asymptotically can also be used to describe a trend or pattern that is approaching a limit or boundary.

For example, you could say "The number of COVID-19 cases is asymptotically approaching a plateau."

3. Use it to describe a process or procedure: Asymptotically can also be used to describe a process or procedure that is approaching a limit or boundary.

For example, you could say "The algorithm asymptotically approaches the optimal solution as the number of iterations increases."

4. Use it to describe a relationship or connection: Asymptotically can also be used to describe a relationship or connection between two things that is approaching a limit or boundary.

For example, you could say "The correlation between income and happiness asymptotically approaches zero as income increases."

5. Use it to emphasize the gradual nature of something: Asymptotically can also be used to emphasize the gradual nature of something that is approaching a limit or boundary.

For example, you could say "The population growth rate is asymptotically decreasing, indicating that the population is approaching a stable level."

Overall, asymptotically is a versatile term that can be used in a variety of contexts to describe the gradual approach of a limit or boundary. By following these tips, you can use this term effectively in your writing and communication.

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

"Asymptotically"

(1) The function approaches zero asymptotically as x tends to infinity.

(2) The algorithm's complexity grows asymptotically with the input size.

(3) The curve approaches the x-axis asymptotically but never touches it.

(4) The error rate decreases asymptotically as the sample size increases.

(5) The function approaches zero asymptotically as x approaches infinity.

(6) The line approaches the x-axis asymptotically but never intersects it.

(7) The line approaches the y-axis asymptotically but never intersects it.

(8) The function's growth rate slows down asymptotically as x becomes larger.

(9) The function's growth rate increases asymptotically as x becomes smaller.

(10) The algorithm's space complexity grows asymptotically with the input size.

Sentence For "Asymptotically"

(11) The algorithm's running time decreases asymptotically with better hardware.

(12) The algorithm's efficiency improves asymptotically as the input size increases.

(13) The population's growth rate increases asymptotically as resources become scarce.

(14) The curve approaches the x-axis asymptotically as x approaches negative infinity.

(15) The algorithm's time complexity decreases asymptotically with parallel processing.

(16) The probability of a rare event occurring decreases asymptotically as time goes on.

(17) The algorithm's running time increases asymptotically with the number of iterations.

(18) The population growth rate slows down asymptotically as it reaches carrying capacity.

(19) The efficiency of the sorting algorithm improves asymptotically with larger datasets.

(20) The function's value approaches infinity asymptotically as x approaches a certain value.

"Asymptotically" In A Sentence

(21) The error in the prediction decreases asymptotically as the model becomes more accurate.

(22) The algorithm's space complexity decreases asymptotically with better memory management.

(23) The probability of success decreases asymptotically as the number of attempts increases.

(24) The distance between two particles decreases asymptotically as they approach each other.

(25) The probability of winning the lottery decreases asymptotically as more tickets are sold.

(26) The function's value approaches a constant asymptotically as x approaches a certain value.

(27) The distance between the two objects decreases asymptotically as they approach each other.

(28) The function's rate of change decreases asymptotically as it approaches its maximum value.

(29) The efficiency of the search algorithm improves asymptotically with better data structures.

(30) The probability of a successful outcome decreases asymptotically as more attempts are made.

"Asymptotically" Sentence

(31) The algorithm's time complexity improves asymptotically with better optimization techniques.

(32) The error in the estimation decreases asymptotically as the number of data points increases.

(33) The error in the approximation decreases asymptotically as the number of iterations increases.

(34) The least squares estimator is consistent and asymptotically normal under certain assumptions.

(35) The function's rate of change approaches zero asymptotically as x approaches a critical point.

(36) The growth rate of the population slows down asymptotically as it approaches carrying capacity.

(37) The function's value approaches negative infinity asymptotically as x approaches a certain value.

(38) The growth rate of the population approaches zero asymptotically as it reaches carrying capacity.

(39) The probability of failure decreases asymptotically as the number of redundant systems increases.

(40) The probability of a rare disease spreading decreases asymptotically as more people get vaccinated.

"Asymptotically" Sentence Examples

(41) The probability of a rare event occurring increases asymptotically as the number of trials increases.

(42) The time complexity of the algorithm increases asymptotically as the number of nested loops increases.

Learning English Faster Through Complete Sentences With "Asymptotically"

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 "Asymptotically"; But now that you have a better understanding of the language, there’s a better way for you to learn meaning of "Asymptotically" through sentence examples.

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

Focus Your English Learning On Sentences With "Asymptotically".

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

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 "Asymptotically"

A simple sentence with "Asymptotically"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 "Asymptotically"

A compound sentence with "Asymptotically" 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 "Asymptotically"

A complex sentence with "Asymptotically" 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 "Asymptotically"

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