Sentence examples for analytical expressions from inspiring English sources

"analytical expressions" is a correct and usable phrase in written English.
It can be used to refer to mathematical or scientific equations or formulas that are used to express ideas and concepts in a precise and logical manner. Example: The scientists used various analytical expressions to accurately calculate the velocity of the object. Another example: In the field of economics, mathematical models and analytical expressions are commonly used to analyze and predict market trends.

Exact(60)

(b) Simulation and analytical expressions.

Numerical simulations support our proposed analytical expressions.

The analytical expressions are validated numerically.

Analytical expressions of energy velocities are provided.

We provide analytical expressions for both limits.

Simulation results validate the analytical expressions of the BEP performance.

Analytical expressions for particle energy spectrum are obtained.

Numerical simulations show accurate agreement with the proposed analytical expressions.

In this section, analytical expressions for outage probability are derived.

The analytical expressions are validated by Monte-Carlo simulations.

We derive the analytical expressions of the robust reinsurance contacts.

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