approximation formula (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/əˌprɒksɪˈmeɪʃən ˈfɔːrmjʊlə/

Meaning and Usage

The term "approximation formula" refers to a mathematical expression that provides an estimate or close representation of a quantity or function. Such formulas are widely used in various fields including mathematics, physics, and engineering to simplify calculations or to make predictions based on available data. They serve to provide easier computation when exact formulas are not feasible or when a precise answer is unnecessary.

Frequency of Use: The term is commonly used in academic, technical, and scientific contexts, particularly in written materials like research papers, textbooks, and technical manuals. It is less frequently used in casual oral speech.

Example Sentences

1. The scientist applied an approximation formula to estimate the charge distributions in the molecule.

2. Ученый применил формулу приближения, чтобы оценить распределения заряда в молекуле.

3. In calculus, an approximation formula can help in calculating the area under a curve when the exact integral is difficult to find.

4. В математическом анализе формула приближения может помочь в вычислении площади под кривой, когда точный интеграл сложно найти.

5. The engineer presented an approximation formula to simplify the complex dynamics of the mechanical system.

6. Инженер представил формулу приближения, чтобы упростить сложную динамику механической системы.

Idiomatic Expressions

While "approximation formula" may not directly appear in idiomatic expressions, the concept of approximation is often used in expressions related to estimation and generalization. Here are some idiomatic expressions along with example sentences:

1. Get a rough approximation
2. To plan the budget, we need to get a rough approximation of the costs involved.

3. Чтобы спланировать бюджет, нам нужно получить грубую оценку вовлеченных затрат.

4. In the ballpark

5. Her calculations were in the ballpark, although not exact, they helped us make quick decisions.

6. Её расчеты были приблизительными, хотя и не точными, они помогли нам быстро принять решения.

7. To put it mildly

8. The approximation of our timeline was, to put it mildly, overly optimistic.

9. Приближение нашего графика было, мягко говоря, чрезмерно оптимистичным.

10. Ballpark figure

11. Can you give me a ballpark figure for the project costs before we finalize the budget?
12. Можешь дать мне приблизительную цифру по затратам на проект, прежде чем мы окончательно утвердим бюджет?

Etymology

The word "approximation" comes from the Latin "approximare," meaning "to come near," composed of "ad-" meaning "to" and "proximare," meaning "to be near." The term "formula" comes from Latin "formula," which means "a small form” or “a rule," derived from “formare,” meaning “to form.” Together, "approximation formula" indicates a calculated guide or formula that brings one closer to the desired value.

Synonyms and Antonyms

Synonyms: - Estimation formula - Approximate equation - Calculation model

Antonyms: - Exact formula - Accurate equation