Convex Hull in a sentence
Synonym: boundary.
Meaning: The smallest convex shape that can enclose a set of points in a plane.
(1) The convex hull of a point is the point itself.
(2) The convex hull of a square is the square itself.
(3) The convex hull of a circle is the circle itself.
(4) The convex hull of a hexagon is the hexagon itself.
(5) The convex hull of an octagon is the octagon itself.
(6) The convex hull of a triangle is the triangle itself.
(7) The convex hull of a pentagon is the pentagon itself.
(8) The convex hull of a heptagon is the heptagon itself.
(9) The convex hull of a rectangle is the rectangle itself.
(10) The convex hull of a concave polygon is a convex polygon.
Convex Hull sentence
(11) The orthobicupola is a convex hull of two square pyramids.
(12) The convex hull of a non-convex polygon is a convex polygon.
(13) The convex hull of a line segment is the line segment itself.
(14) The convex hull of a concave polygon is always a convex polygon.
(15) A convex hull is the smallest convex shape that encloses a set of points.
(16) The algorithm efficiently computes the convex hull of a given set of points.
(17) The convex hull of a set of points can be computed using various algorithms.
(18) The convex hull of a set of points can be used to determine the shape's area.
(19) The convex hull of a set of points can be used to determine the shape's moments.
(20) The convex hull of a set of points can be used to determine the shape's centroid.
Convex Hull make sentence
(21) The convex hull of a set of points can be used to determine the shape's symmetry.
(22) The convex hull of a set of points can be used to determine the shape's solidity.
(23) The convex hull of a set of points can be used to determine the shape's perimeter.
(24) The convex hull of a set of coplanar points is a convex polygon in the same plane.
(25) The convex hull of a set of points can be used to determine the shape's elongation.
(26) The convex hull of a set of points can be used to determine the shape's orientation.
(27) The convex hull of a set of points can be used to determine the shape's compactness.
(28) The convex hull of a set of points in higher-dimensional space is a convex polytope.
(29) The convex hull of a set of points can be used to determine the boundary of a shape.
(30) The convex hull of a set of points can be used to determine the shape's eccentricity.
Sentence of convex hull
(31) The convex hull of a set of points can be used to determine the shape's bounding box.
(32) The convex hull of a set of points can be used to determine the shape's aspect ratio.
(33) The convex hull of a set of points in three-dimensional space is a convex polyhedron.
(34) The convex hull of a set of points can be used to determine the convexity of a shape.
(35) The convex hull of a complex shape can be approximated using a series of convex polygons.
(36) The convex hull of a set of points can be visualized as the outer boundary of the points.
(37) The convex hull of a non-convex polygon may have more vertices than the original polygon.
(38) The convex hull of a set of points can be used to determine the shape's convexity defects.
(39) The Jarvis march algorithm is a third method to compute the convex hull of a set of points.
(40) The convex hull of a set of points can be used to determine the shape's major and minor axes.
Convex Hull meaningful sentence
(41) The gift wrapping algorithm is a simple method to compute the convex hull of a set of points.
(42) The convex hull of a set of points is the smallest convex polygon that contains all the points.
(43) The convex hull of a set of points is the smallest convex polygon that encloses all the points.
(44) The convex hull of a set of collinear points is the line segment connecting the outermost points.
(45) The convex hull of a set of points can be used to solve the nearest neighbor problem efficiently.
(46) The Graham scan algorithm is another popular method to compute the convex hull of a set of points.
(47) The convex hull of a set of points can be used to find the smallest enclosing circle of the points.
(48) The convex hull of a set of points can be used to determine the visibility polygon from a given point.
(49) The QuickHull algorithm is a divide-and-conquer approach to compute the convex hull of a set of points.
(50) The Chan's algorithm is an efficient algorithm to compute the convex hull of a set of points in higher-dimensional space.
(51) The convex hull of a set of points is useful in various applications, such as computer graphics and computational geometry.
Convex Hull meaning
Convex hull is a term commonly used in mathematics and computer science to describe a specific concept related to geometry and computational geometry. It refers to the smallest convex polygon that encloses a given set of points or a shape. In this article, we will explore various tips on how to use the phrase "convex hull" in sentences effectively.
1. Definition and Explanation: When introducing the term "convex hull" in a sentence, it is crucial to provide a clear and concise definition.
For example, "The convex hull is the smallest convex polygon that encompasses all the points in a given set."
2. Contextual Usage: To ensure proper understanding, it is essential to provide context when using the phrase "convex hull." For instance, "In computational geometry, the convex hull is often used to determine the outer boundaries of a set of data points."
3. Examples in Mathematics: When discussing mathematical concepts, it is helpful to provide examples that illustrate the application of the convex hull. For instance, "In a scatter plot, the convex hull can be used to identify the outermost points that form a boundary around the data."
4. Real-World Applications: To make the concept more relatable, it is beneficial to mention real-world applications where the convex hull is utilized.
For example, "Convex hull algorithms are commonly employed in robotics for path planning and obstacle avoidance."
5. Algorithmic Approach: When discussing the computational aspect of the convex hull, it is essential to explain the algorithms used to calculate it. For instance, "The Graham's scan algorithm is a popular method for computing the convex hull of a set of points in a plane."
6. Visual Representation: To aid comprehension, it can be helpful to include visual representations such as diagrams or images of convex hulls.
For example, "The figure below illustrates the convex hull of a set of points in a two-dimensional space."
7. Comparison with Concave Hull: To provide a comprehensive understanding, it can be beneficial to compare the convex hull with its counterpart, the concave hull. For instance, "While the convex hull encloses all points in a set with a convex polygon, the concave hull encompasses the points with a non-convex shape."
8. Importance in Optimization: When discussing optimization problems, it is crucial to highlight the significance of the convex hull.
For example, "In linear programming, the convex hull plays a vital role in determining feasible solutions and optimizing objective functions."
9. Complexity Analysis: For those interested in the computational complexity of convex hull algorithms, it is helpful to provide a brief analysis. For instance, "The time complexity of the Quickhull algorithm for computing the convex hull is O(n log n), where n represents the number of input points."
10. Further Reading: To encourage readers to explore the topic further, it is beneficial to provide references or suggest additional resources.
For example, "For a more in-depth understanding of convex hull algorithms, the book 'Computational Geometry: Algorithms and Applications' by Mark de Berg et al. is highly recommended."
In conclusion, the phrase "convex hull" is a fundamental concept in mathematics and computer science. By following these tips, you can effectively incorporate this term into your writing, ensuring clarity and understanding for your readers.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Convex Hull. They do not represent the opinions of TranslateEN.com.