100 Examples of sentences containing the noun "asymptotic"

Definition

"Asymptotic" is an adjective commonly used in mathematics and statistics to describe a behavior or property of functions as they approach a certain limit, particularly infinity. It can also refer to the asymptote itself, which is a line that a curve approaches as it heads towards infinity or a point of interest. Although primarily used in mathematical contexts, "asymptotic" can also be applied more broadly in other fields to describe trends or behaviors that become apparent only at extreme values.

Synonyms

• Approaching
• Limit
• Converging
• Tending towards
• Nearing

Antonyms

• Diverging
• Moving away
• Distancing
• Departing

Examples

1. The function asymptotic behavior indicates how it approaches its limit.
2. As n increases, the series asymptotic to a particular value.
3. The curve asymptotic to the x-axis signifies that it will never actually touch it.
4. The asymptotic nature of the graph can reveal important information about its limits.
5. In statistics, we often use asymptotic methods for large sample sizes.
6. The model's predictions become asymptotic as we consider more extreme cases.
7. The analysis showed that the two functions were asymptotic to each other.
8. When plotted, the function appears asymptotic to the linear line.
9. In calculus, we often study asymptotic behavior to understand limits of functions.
10. The asymptotic nature of the solution was crucial in solving the equation.
11. The researchers noted that the data was asymptotic beyond a certain point.
12. As the input values grow, the results become more asymptotic.
13. The asymptotic properties of the function were derived using advanced techniques.
14. In this case, the solutions are asymptotic to each other.
15. The behavior of the sequence is asymptotic as it approaches infinity.
16. The graph illustrates how the curve is asymptotic to the horizontal line.
17. Their findings suggested an asymptotic relationship between the variables.
18. The exploration of asymptotic behavior can lead to significant insights.
19. The algorithm's efficiency is asymptotic to the best known method.
20. The term asymptotic is often used to describe limits in mathematical analysis.
21. His research focused on the asymptotic distribution of the estimator.
22. The function's asymptotic properties were critical for understanding its behavior.
23. The team's results were asymptotic, providing a clear trend.
24. As time progresses, the results become increasingly asymptotic.
25. In their study, they found asymptotic behavior in their computational models.
26. The asymptotic analysis allows for simplifications in complex calculations.
27. The findings show that the estimates were asymptotic as the sample size increased.
28. The behavior of the polynomial was asymptotic to linear functions.
29. The asymptotic approach provided a better understanding of the model.
30. The researchers concluded that the results were asymptotic under certain conditions.
31. The asymptotic behavior of the function was rapidly analyzed.
32. New techniques were developed to study asymptotic convergence.
33. The sequence was determined to be asymptotic, leading to predictable outcomes.
34. The analysis became increasingly asymptotic after reaching the threshold.
35. The error term was shown to be asymptotic in relation to the estimate.
36. The function's growth rate was characterized as asymptotic.
37. The asymptotic nature of the results was a significant finding.
38. The asymptotic behavior of the sequence was evident after several iterations.
39. It was determined that the approximations were asymptotic to the true values.
40. The model's predictions were observed to be asymptotic at high values.
41. The properties of the curve are asymptotic to the line y = 0.
42. As the experiment progressed, the results became more asymptotic.
43. The study emphasized the importance of understanding asymptotic relationships.
44. Their findings were confirmed to be asymptotic under controlled conditions.
45. The asymptotic behavior was crucial for the application of the theorem.
46. The analysis showed that the outputs were asymptotic as input values increased.
47. The researchers utilized asymptotic methods to draw their conclusions.
48. It was noted that the graph of the function is asymptotic to the axis.
49. Their approach provided asymptotic approximations for better understanding.
50. The results were deemed asymptotic after extensive testing.
51. The theoretical implications were asymptotic to real-world applications.
52. The function's limits were analyzed using asymptotic techniques.
53. The findings indicated an asymptotic relationship between the variables.
54. The study revealed that the outputs were asymptotic beyond a certain point.
55. The asymptotic nature of the curve can affect interpretation.
56. The asymptotic behavior of the distribution was significant for their results.
57. The researchers claimed that their model was asymptotic to reality.
58. The function was shown to be asymptotic to its limit as expected.
59. The calculations for large values became more asymptotic over time.
60. The paper discussed the asymptotic properties of various functions.
61. The trend was found to be asymptotic in nature.
62. The behavior was labeled as asymptotic after analysis.
63. Their study focused on the asymptotic characteristics of solutions.
64. The resulting data showed an asymptotic pattern.
65. The concept of asymptotic behavior is fundamental in calculus.
66. The researchers found evidence of asymptotic tendencies in their data.
67. The sequence was confirmed to be asymptotic through rigorous testing.
68. The model exhibited asymptotic characteristics in extreme cases.
69. The asymptotic behavior highlighted the need for further research.
70. Their analysis revealed that the two functions were asymptotic.
71. The asymptotic nature of the results was highlighted in the discussion.
72. The growth rate of the function appeared to be asymptotic.
73. The findings were asymptotic as they approached the limit.
74. The team's work emphasized the asymptotic behavior of their models.
75. The asymptotic relationship was critical for understanding the phenomenon.
76. The results were confirmed to be asymptotic beyond established boundaries.
77. The study provided insights into asymptotic distributions.
78. Their findings were particularly asymptotic in the context of extreme values.
79. The asymptotic nature of the data was significant for the conclusions drawn.
80. The experiment demonstrated how results could be asymptotic.
81. The researchers noted that the outputs were asymptotic after a threshold.
82. The theory of limits includes asymptotic analysis.
83. The results showed clearly that they were asymptotic.
84. The behavior of the sequence was characterized as asymptotic.
85. Their findings suggested a strong asymptotic relationship.
86. The model's predictions were confirmed to be asymptotic.
87. The concept of asymptotic analysis was central to their work.
88. The analysis concluded that the function was asymptotic.
89. The growth was found to be asymptotic as expected.
90. The relationship was asymptotic between the variables studied.
91. The analysis focused on the asymptotic behavior over time.
92. The outputs were deemed asymptotic after the investigation.
93. Their research highlighted the importance of asymptotic trends.
94. The function was characterized as asymptotic towards its limit.
95. The results indicated that the outputs were asymptotic.
96. The asymptotic behavior of the model was key to its success.
97. The findings were asymptotic with respect to the established theory.
98. The analysis revealed that the processes were asymptotic.
99. The sequence exhibited asymptotic behavior as it progressed.
100. The study concluded that the behaviors were significantly asymptotic.