Asymptotic

Asymptotic analysis helps us understand the behavior of an algorithm as the input size becomes very large.

The asymptotic stability of a control system ensures that it converges to a desired state as time goes to infinity.

Asymptotic expansion is a technique used in physics to approximate functions in certain limits.

The complexity of this problem is asymptotic, meaning it becomes more difficult as the problem size increases.

The price of the stock approaches an asymptotic value as demand decreases.

The number of infected individuals in an epidemic reaches an asymptotic value as the disease spreads.

The stock market showed an asymptotic trend, with prices continually rising but never reaching a peak.

The stock market's volatility index demonstrated an asymptotic behavior, suggesting that it would approach a stable level without ever quite reaching it.

The relationship between the dose of a medication and its effectiveness can be described by an asymptotic curve.

The company's profits exhibit an asymptotic trend, approaching a maximum value as market saturation is reached.

The concentration of a chemical substance in a solution approaches an asymptotic value over time.

The rate of inflation in the economy is expected to stabilize and become asymptotic in the long run.

The financial analyst studied the asymptotic behavior of stock market returns.

The asymptotic error of the approximation decreased with the number of iterations.

The temperature of the liquid approaches an asymptotic value as time goes on.

The asymptotic stability of the system was crucial for its long-term performance.

The asymptotic growth of the population was a concern for urban planners.

The function's graph exhibited an asymptotic approach to zero as x tended to infinity.

The company's profits showed an asymptotic increase over the years.

The efficiency of the algorithm is determined by its asymptotic complexity.

The doctor discussed the asymptotic progression of the disease, where symptoms worsen gradually over time.

The performance of the athlete showed an asymptotic improvement over time, indicating that significant gains were made initially, but progress slowed down later.

The stock market's volatility approached an asymptotic level, resulting in minimal fluctuations in prices.

The population growth rate of the endangered species started to exhibit an asymptotic decline, indicating a potential threat to its survival.

The engineer analyzed the asymptotic stability of the control system to ensure its long-term performance.

The patient's blood pressure readings displayed an asymptotic trend, with the values gradually approaching a stable level.

The line graph shows the asymptotic behavior of the population growth over time.

The researcher observed the asymptotic behavior of the pendulum's oscillations as it approached equilibrium.

The company's revenue growth showed an asymptotic pattern, gradually approaching zero as the years went by.

The learning curve of the new programming language is asymptotic, meaning that beginners quickly grasp the basics but require more effort to master advanced concepts.

The scientist studied the asymptotic relationship between temperature and pressure in the laboratory.

The mathematician proved the asymptotic convergence of the series using mathematical induction.

The data scientist used an asymptotic distribution to estimate the confidence intervals of the statistical model.

The asymptotic behavior of this function shows that it approaches zero as x tends to infinity.

The runtime complexity of the graph traversal algorithm is asymptotic, which guarantees its efficiency even for large-scale networks.

The memory usage of this algorithm is asymptotic, which means it increases slowly with the input size.

The speed of convergence of the iterative algorithm is asymptotic to the square of the error.

The line of best fit in the scatter plot provides an asymptotic estimate of the relationship between the variables.

Asymptotic stability ensures that a system's output approaches a steady state as time goes to infinity.

In physics, the behavior of particles can be described by asymptotic wave functions.

Asymptotic stability is an important property in control theory, ensuring the system approaches a steady state as time goes to infinity.

In calculus, we study the behavior of functions near their asymptotic points.

The asymptotic expansion of a function allows for a more accurate approximation as the variable approaches a particular value.

The population growth rate of the city is asymptotic, indicating that it will approach a maximum but never reach it.

The scientist studied the asymptotic behavior of the population growth rate.

The mathematician analyzed the asymptotic complexity of the sorting algorithm.

The engineer studied the asymptotic stability of the control system.

The temperature of the liquid reaches an asymptotic level as heat is continuously applied.

The speed of the car gradually becomes asymptotic as it approaches the speed limit.

The population growth of the species follows an asymptotic curve as resources become limited.