exact solution

USAGE SUMMARY

The phrase "exact solution" is correct and usable in written English.
You can use it when you want to refer to a precise solution to a problem or a precise answer to a question. For example, "After much trial and error, I finally found the exact solution to the math equation."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

(a) Exact solution.

Advances in Difference Equations

has exact solution.

Fixed Point Theory and Applications

with the exact solution.

Boundary Value Problems

which is the exact solution.

Mathematical Sciences

The exact solution is presented.

Journal of Sound and Vibration

The exact solution of (4.14) for is.

Advances in Difference Equations

The exact solution of problem is.

Mathematical Sciences

(a) The surface of the exact solution.

Advances in Difference Equations

The Viterbi Algorithm (VA) provides an exact solution of MLSE.

Digital Signal Processing

The exact solution is illustrated by specific examples.

Chemical Engineering Journal

An exact solution is obtained using the Green's functions.

Computational Materials Science

Expert writing Tips

Best practice

When discussing mathematical or scientific problems, use "exact solution" to emphasize that a solution is precise and without approximation. This is particularly relevant when contrasting it with numerical or approximate solutions.

Common error

Avoid using "exact solution" when you mean "optimal solution". An "exact solution" refers to a precise answer, while an "optimal solution" refers to the best possible solution among many, even if not perfectly precise.

Linguistic Context

The phrase "exact solution" primarily functions as a noun phrase. It refers to a solution obtained through analytical methods without any approximation, as demonstrated by Ludwig's examples. Ludwig AI confirms that the phrase is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "exact solution" is a noun phrase denoting a precise, non-approximated solution, commonly found in scientific and mathematical contexts. As Ludwig AI confirms, it is grammatically correct and frequently used. Its high frequency in scientific literature underscores its importance in technical discussions. When opting for related phrases, consider alternatives like "precise answer" or "accurate solution" based on the specific nuance you wish to convey. Be cautious not to confuse it with the broader term "optimal solution".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

accurate solution

Similar to "exact solution" but focuses on the accuracy aspect more.

correct solution

Highlights the correctness and validity of the solution.

precise resolution

Indicates a solution that is not only correct but also clearly defined.

precise answer

Emphasizes the accuracy and correctness of the answer.

accurate resolution

Focuses on achieving a high degree of accuracy in resolving a problem.

explicit solution

Emphasizes that the solution is expressed directly and without ambiguity.

definitive answer

Highlights the conclusive and authoritative nature of the answer.

closed-form solution

Refers to a solution that can be expressed in terms of elementary functions.

analytical solution

Suggests a solution derived through analytical methods, often implying precision.

numerical solution

Focuses on a solution approximated numerically.

FAQs

What is the difference between an "exact solution" and an approximate one?

An "exact solution" is a solution obtained without any approximations or numerical methods. An approximate solution, on the other hand, relies on numerical methods or estimations to find a solution that is close to the true solution, but not necessarily identical.

In what context is the term "exact solution" most commonly used?

The term "exact solution" is most commonly used in mathematics, physics, engineering, and other scientific fields where equations and problems can be solved analytically to obtain a precise result.

What are some alternatives to using the phrase "exact solution"?

You can use alternatives like "precise answer", "accurate solution", or "definitive answer" depending on the context.

When should I use "exact solution" versus "numerical solution"?

Use "exact solution" when you have a precise, analytical answer to a problem. Use "numerical solution" when the problem is too complex for an analytical approach and requires computational methods to find an approximate answer.