Mathematical

The model could only be validated using mathematical simulations.

The physics problem required mathematical modeling of a black hole.

The politician's argument was based on mathematical reasoning.

The economist used mathematical analysis to study the impact of the policy.

The recipe calls for precise mathematical measurements of ingredients.

The engineer used mathematical formulas to design the structure of the building.

The astronaut used mathematical calculations to navigate through space.

The journalist used mathematical precision in reporting the facts.

The mathematical equation is used to determine the slope of a line.

The mathematical properties of a circle can be used to determine its circumference and area.

The research paper introduced a new mathematical model for analyzing complex systems.

The accountant used mathematical formulas to calculate the company's profits.

The mathematician wrote a paper on the mathematical properties of prime numbers.

The mathematician used complex mathematical calculations to solve a long-standing problem in number theory.

The speed of the train can be calculated using mathematical formulas based on the distance and time traveled.

The size of a circle can be calculated using a mathematical formula.

The length of the line can be determined using mathematical calculations.

The spreadsheet program allows for mathematical calculations to be performed on data.

The engineer used mathematical methods to optimize the design of the product.

The teacher explained the mathematical concept using simple terms.

The engineer designed a mathematical simulation to test the strength of the new material.

He struggled to understand the mathematical concepts in his advanced calculus class.

The statistician used mathematical methods to analyze the results of the experiment.

The cook adjusted the recipe based on mathematical measurements.

The computer program uses mathematical algorithms to sort the data.

The numerical data was analyzed using mathematical methods.

The mathematical algorithm was used to optimize the process.

The mathematical proof for the theorem was elegant and concise.

The study of topology is an example of a mathematical discipline that is not immediately intuitive.

The financial analyst used mathematical formulas to calculate the return on investment.

The mathematical reasoning in the philosophical argument was hard to follow.

The research in theoretical physics explored mathematical concepts like topology and differential geometry.

The calculation was made based on mathematical assumptions.

The operations researcher used mathematical models to optimize the production process.

The probability of an event occurring can be determined using mathematical equations such as Bayes' theorem.

The computer scientist used mathematical algorithms to develop new software.

The cryptography algorithms involve advanced mathematical concepts like number theory and group theory.

The physicist used mathematical equations to explain the behavior of particles.

The programmer used mathematical logic to write efficient code.

The biologist used mathematical models to study the growth of populations.

The chemist used mathematical formulas to balance chemical equations.

The financial analyst presented a mathematical analysis of the company's earnings.

The biologist used mathematical simulations to study the behavior of populations.

The professor explained the mathematical concept using real-world examples.

The engineer applied mathematical principles to design the bridge.

The statistician employed mathematical techniques to analyze the data.

The musician used mathematical patterns to create the melody.