Isoperimetric in a sentence
(1) Isoperimetric curves are curves of constant perimeter.
(2) Isoperimetric curves can have complex and intricate shapes.
(3) Isoperimetric problems can be solved using numerical methods.
(4) Isoperimetric problems have been studied since ancient times.
(5) The isoperimetric ratio is a useful tool in shape optimization.
(6) Isoperimetric problems can be solved using geometric techniques.
(7) Isoperimetric problems can be formulated as variational problems.
(8) Isoperimetric problems can be solved using calculus of variations.
(9) The isoperimetric problem can be generalized to higher dimensions.
(10) The isoperimetric problem has connections to the theory of elasticity.
Isoperimetric sentence
(11) Isoperimetric curves can exhibit symmetrical or asymmetrical properties.
(12) Isoperimetric curves can have self-intersections or be smooth and simple.
(13) The isoperimetric problem was first posed by ancient Greek mathematicians.
(14) The isoperimetric problem has connections to the theory of optimal control.
(15) The isoperimetric problem has connections to the theory of convex geometry.
(16) The isoperimetric problem has been studied for centuries by mathematicians.
(17) The isoperimetric problem has connections to the theory of optimal stopping.
(18) The isoperimetric inequality can be generalized to non-Euclidean geometries.
(19) The isoperimetric problem has connections to the theory of minimal surfaces.
(20) Isoperimetric curves can be characterized by their curvature and arc length.
Isoperimetric make sentence
(21) The isoperimetric property of a shape determines its perimeter-to-area ratio.
(22) Isoperimetric problems can be solved using numerical optimization algorithms.
(23) Isoperimetric inequalities have implications in the study of minimal surfaces.
(24) The isoperimetric problem has connections to the theory of harmonic functions.
(25) Isoperimetric inequalities have been studied extensively in geometric analysis.
(26) Isoperimetric problems have connections to the theory of optimal transportation.
(27) Isoperimetric problems often involve optimizing the shape of a curve or surface.
(28) Isoperimetric problems can be solved using calculus and optimization techniques.
(29) Isoperimetric problems have applications in computer vision and image processing.
(30) Isoperimetric problems can be formulated as optimization or variational problems.
Sentence of isoperimetric
(31) The isoperimetric quotient is a measure of how close a shape is to being circular.
(32) The isoperimetric problem has connections to the theory of optimal transportation.
(33) Isoperimetric inequalities have implications in the study of minimal submanifolds.
(34) The isoperimetric ratio is a measure of how efficiently a shape encloses its area.
(35) The isoperimetric problem can be solved using calculus and optimization techniques.
(36) Isoperimetric inequalities can be used to prove geometric theorems and conjectures.
(37) The isoperimetric inequality can be proven using the method of Lagrange multipliers.
(38) Isoperimetric problems can be approached using mathematical optimization techniques.
(39) Isoperimetric curves are those that enclose the same area regardless of their shape.
(40) The isoperimetric problem has connections to the theory of geometric measure theory.
Isoperimetric meaningful sentence
(41) Isoperimetric problems have applications in the study of soap films and soap bubbles.
(42) The isoperimetric problem has connections to the theory of optimal shapes in physics.
(43) The isoperimetric problem has implications in computer graphics and image processing.
(44) The isoperimetric ratio is a measure of how efficiently a shape encloses a given area.
(45) Isoperimetric problems often involve finding the optimal shape for a given constraint.
(46) The isoperimetric problem has connections to the theory of optimal resource allocation.
(47) The isoperimetric problem has connections to the theory of optimal mass transportation.
(48) Isoperimetric inequalities provide bounds on the area of a shape based on its perimeter.
(49) Isoperimetric problems can be approached using geometric transformations and symmetries.
(50) Isoperimetric problems have applications in various fields, including physics and geometry.
Isoperimetric sentence examples
(51) Isoperimetric inequalities have been studied in the context of shape recognition algorithms.
(52) Isoperimetric problems have applications in the design of efficient transportation networks.
(53) The isoperimetric problem has been studied extensively in the field of differential geometry.
(54) The isoperimetric problem is closely related to the concept of optimal control in mathematics.
(55) Isoperimetric problems involve finding shapes with a fixed perimeter and maximizing their area.
(56) Isoperimetric inequalities have been studied in the context of shape reconstruction algorithms.
(57) The isoperimetric problem involves finding the shape with the maximum area for a given perimeter.
(58) Isoperimetric problems often involve finding the shape that minimizes a certain energy functional.
(59) Isoperimetric problems often involve finding the shape with the maximum area for a given perimeter.
(60) Isoperimetric problems can be challenging to solve analytically, often requiring numerical methods.
Sentence with isoperimetric
(61) The isoperimetric problem has practical applications in designing efficient transportation networks.
(62) The isoperimetric problem has connections to the study of minimal surfaces in differential geometry.
(63) The isoperimetric constant is a numerical value that characterizes a shape's isoperimetric properties.
(64) Isoperimetric curves can have fractal-like properties, exhibiting self-similarity at different scales.
(65) The isoperimetric constant is a numerical value that characterizes the isoperimetric properties of a shape.
(66) Isoperimetric problems can be solved using geometric techniques, such as the method of Steiner symmetrization.
(67) The isoperimetric theorem states that among all closed curves of a given length, a circle has the maximum area.
(68) The isoperimetric theorem states that among all closed curves of a given length, the circle has the largest area.
(69) The isoperimetric constant is a numerical value that characterizes the isoperimetric inequality for a given shape.
(70) Isoperimetric problems have applications in computer science, particularly in image processing and shape recognition.
Use isoperimetric in a sentence
(71) Isoperimetric problems can be challenging to solve analytically, but numerical methods can be used to approximate solutions.
(72) Isoperimetric problems often involve finding the shape that maximizes a certain functional, such as the area-to-perimeter ratio.
(73) The isoperimetric inequality for ellipses states that among all ellipses with the same perimeter, the circle has the maximum area.
(74) The isoperimetric inequality for rectangles states that among all rectangles with the same perimeter, the square has the largest area.
(75) The isoperimetric inequality for rectangles states that among all rectangles with the same perimeter, the square has the maximum area.
(76) Isoperimetric problems can be generalized to higher dimensions, such as finding the shape with the maximum volume for a given surface area.
(77) The isoperimetric inequality for polygons states that among all polygons with the same perimeter, the regular polygon has the maximum area.
(78) The isoperimetric inequality for triangles states that among all triangles with the same perimeter, the equilateral triangle has the largest area.
(79) The isoperimetric inequality for triangles states that among all triangles with the same perimeter, the equilateral triangle has the maximum area.
(80) The isoperimetric inequality for circles states that among all circles with the same perimeter, the one with the largest radius has the maximum area.
Isoperimetric meaning
Isoperimetric is a mathematical term that refers to a property or condition of a shape or curve. It describes a situation where the perimeter or length of a closed curve or shape is constant, while the area enclosed by the curve or shape varies. This concept is widely used in various fields of mathematics, physics, and engineering. When using the word "isoperimetric" or the phrase "isoperimetric condition" in a sentence, it is important to provide context and clarity to ensure proper understanding. Here are some tips on how to use this term effectively:
1. Define the term: Begin by providing a brief definition or explanation of what isoperimetric means.
For example, "The term 'isoperimetric' refers to a condition where the perimeter of a closed curve remains constant while the enclosed area changes."
2. Use it in a mathematical context: Isoperimetric is primarily used in mathematical discussions, so it is essential to incorporate it into a mathematical context. For instance, "The isoperimetric theorem states that among all closed curves with the same perimeter, a circle encloses the largest area."
3. Explain its significance: Elaborate on why the concept of isoperimetric is important or relevant to the topic at hand.
For example, "Understanding the isoperimetric condition is crucial in optimizing the design of structures, as it helps engineers minimize material usage while maximizing enclosed space."
4. Provide examples: Illustrate the concept of isoperimetric by giving examples or scenarios where it can be applied. For instance, "In urban planning, the isoperimetric principle can be used to determine the most efficient shape for a park, ensuring that the perimeter remains constant while maximizing the usable area."
5. Relate it to other mathematical concepts: Connect the term isoperimetric to other related mathematical concepts to enhance understanding.
For example, "The isoperimetric inequality is a fundamental result in geometry that establishes a relationship between the perimeter and area of a shape."
6. Use it in scientific or technical writing: Isoperimetric is commonly used in scientific or technical writing, so incorporating it into such contexts can be beneficial. For instance, "The researchers conducted an experiment to test the isoperimetric condition of various irregular polygons."
7. Avoid overusing jargon: While it is important to use the term correctly, be mindful of your audience and avoid excessive jargon. If necessary, provide additional explanations or simplify the language to ensure comprehension.
In conclusion, when using the word "isoperimetric" or the phrase "isoperimetric condition" in a sentence, it is crucial to provide a clear definition, context, and examples to facilitate understanding. By following these tips, you can effectively incorporate this mathematical term into your writing.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Isoperimetric. They do not represent the opinions of TranslateEN.com.