Local Minimum in a sentence
Synonym: trough. Antonym: local maximum
Meaning: The lowest point in a specific area of a graph or function.
(1) The local minimum of the curve occurs at x = 2.
(2) The local minimum of the function occurs at x = 2.
(3) The local minimum of the function occurs at y = 5.
(4) The local minimum of the function occurs at y = 0.
(5) The local minimum of the function occurs at y = 2.
(6) The local minimum of the function occurs at y = -3.
(7) The local minimum of the function occurs at x = -1.
(8) The local minimum of the curve is located at x = 5.
(9) The local minimum of the function occurs at y = -1.
(10) The local minimum of the curve is located at x = -1.
Local Minimum sentence
(11) The local minimum of the curve is located at x = -3.
(12) The function has a plateau around the local minimum.
(13) The function has a sharp drop around the local minimum.
(14) The function has a steep slope around the local minimum.
(15) The function has a flat region around the local minimum.
(16) The gradient descent algorithm iteratively moves towards the local minimum.
(17) The optimization process aims to find the local minimum that minimizes error.
(18) The optimization process aims to find the local minimum that maximizes profit.
(19) The algorithm is stuck in a local minimum and fails to find the global minimum.
(20) The local option gives cities the ability to implement local minimum wage laws.
Local Minimum make sentence
(21) The gradient descent algorithm helps in finding the local minimum of a function.
(22) The function has a plateau around the local minimum, indicating a stable region.
(23) The local minimum of the cost function corresponds to the lowest possible error.
(24) The gradient descent algorithm adjusts the parameters to reach the local minimum.
(25) The local minimum of the cost function corresponds to the most efficient solution.
(26) The local minimum of the cost function corresponds to the highest possible reward.
(27) The local minimum of the curve represents the lowest value within a specific range.
(28) The search algorithm successfully found the local minimum after several iterations.
(29) The local minimum of the cost function corresponds to the most accurate prediction.
(30) The optimization process aims to find the local minimum that yields the lowest cost.
Sentence of local minimum
(31) The 'hessians' array is used to estimate the local minimum of the objective function.
(32) The local minimum of the curve represents the lowest point in the immediate vicinity.
(33) The function has a flat region around the local minimum, indicating a stable solution.
(34) The local minimum of the curve represents the lowest point within a specific interval.
(35) The algorithm is designed to converge to a local minimum rather than the global minimum.
(36) The algorithm is stuck in a local minimum and fails to explore other potential solutions.
(37) The search algorithm got stuck in a local minimum and failed to find the optimal solution.
(38) The local minimum in the bar chart represented the lowest value among the displayed categories.
(39) The local minimum of the curve represents the lowest value within a particular range of inputs.
(40) The local minimum of the cost function corresponds to the optimal solution for the given problem.
Local Minimum meaningful sentence
(41) The local minimum of the cost function corresponds to the optimal value for the given parameters.
(42) The local minimum of the objective function provides a good approximation of the optimal solution.
(43) The local minimum in the histogram indicated a peak in the frequency distribution at a lower value.
(44) The function has a steep slope around the local minimum, indicating a significant change in values.
(45) The local minimum of the objective function provides a good starting point for further optimization.
(46) The local minimum of the cost function corresponds to the most favorable outcome for the given scenario.
(47) The local minimum of the cost function corresponds to the best achievable value for the given constraints.
(48) The function has a sharp drop around the local minimum, indicating a significant improvement in performance.
Local Minimum meaning
Local minimum is a term commonly used in mathematics and optimization problems. It refers to a point in a function or a curve where the value is lower than the surrounding points but not necessarily the absolute lowest value. In this article, we will explore various tips on how to use the phrase "local minimum" in sentences effectively.
1. Definition and Context: When introducing the term "local minimum" in a sentence, it is crucial to provide a clear definition and context.
For example, "A local minimum is a point in a function where the value is lower than the neighboring points but not the overall lowest value."
2. Mathematical Examples: To illustrate the concept of a local minimum, it is helpful to provide mathematical examples. For instance, "In the function f(x) = x^2, the point (0,0) is a local minimum as the value at this point is lower than the values of nearby points such as (-1,
1. and (1,1)."
3. Optimization Problems: Local minimum is often used in the context of optimization problems. When discussing such problems, it is essential to explain how local minimums play a role. For instance, "In optimization algorithms, finding the global minimum is the ultimate goal, but sometimes the algorithm may converge to a local minimum instead."
4. Real-World Applications: To make the concept of local minimum more relatable, it is beneficial to provide real-world applications.
For example, "In finance, local minimums can represent temporary lows in stock prices before they start rising again."
5. Comparisons: To enhance understanding, comparing local minimums with other related terms can be helpful. For instance, "Unlike a global minimum, which is the absolute lowest point in a function, a local minimum is only the lowest point within a specific range."
6. Visual Representations: When explaining local minimums, incorporating visual representations such as graphs or diagrams can aid comprehension. For instance, "In the graph, the local minimum is represented by the lowest point within a specific interval."
7. Importance in Optimization: Highlighting the significance of local minimums in optimization problems can help readers grasp their importance.
For example, "Identifying local minimums is crucial in optimization algorithms as they help determine the direction in which the algorithm should proceed to find the global minimum."
8. Challenges and Pitfalls: Discussing the challenges and pitfalls associated with local minimums can provide a comprehensive understanding. For instance, "One challenge in optimization problems is getting trapped in a local minimum, which prevents reaching the global minimum."
9. Related Terminology: Exploring related terms and concepts can further enrich the usage of "local minimum" in sentences.
For example, "Other related terms include local maximum, global maximum, and saddle points, each representing different characteristics of a function."
10. Conclusion: Conclude the article by summarizing the key points discussed and reiterating the importance of understanding and correctly using the phrase "local minimum" in various contexts.
In conclusion, understanding the concept of local minimum is essential in mathematics, optimization problems, and various real-world applications. By following the tips provided in this article, you can effectively incorporate the phrase "local minimum" in sentences, ensuring clarity and accuracy in your communication.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Local Minimum. They do not represent the opinions of TranslateEN.com.