Calculus Of Variation in a sentence
Synonym: mathematics, analysis.
Meaning: A field of mathematical analysis that deals with maximizing or minimizing functionals.
(1) Variational calculus is another name for the calculus of variation.
(2) The calculus of variation is closely related to optimization theory.
(3) The calculus of variation is based on the principle of least action.
(4) The calculus of variation is a powerful tool in optimization problems.
(5) Euler's equation is a fundamental result in the calculus of variation.
(6) The calculus of variation is used in chemistry to optimize reaction rates.
(7) The calculus of variation is used in medicine to optimize treatment plans.
(8) The calculus of variation is used in music theory to optimize compositions.
(9) The calculus of variation is a fundamental concept in mathematical physics.
(10) The calculus of variation is used in computer science to optimize algorithms.
Calculus Of Variation sentence
(11) The calculus of variation is used in medicine to model the spread of diseases.
(12) The calculus of variation is a key concept in the study of functional analysis.
(13) The calculus of variation is used in chemistry to optimize reaction conditions.
(14) The calculus of variation is used in architecture to optimize building designs.
(15) The calculus of variation is a powerful tool for solving optimization problems.
(16) The calculus of variation is a key tool in the study of optimal control theory.
(17) The calculus of variation is used in genetics to model the evolution of species.
(18) The calculus of variation is used in biology to study optimal foraging behavior.
(19) The calculus of variation is used in robotics to optimize the movement of robots.
(20) The calculus of variation is used in sports science to optimize training programs.
Calculus Of Variation make sentence
(21) The calculus of variation is used to find the optimal shape of a curve or surface.
(22) The calculus of variation is used in engineering to optimize designs and processes.
(23) The calculus of variation is used to find the optimal control for a dynamic system.
(24) The calculus of variation is used in geophysics to model and analyze seismic waves.
(25) The calculus of variation is used in music theory to optimize musical compositions.
(26) The calculus of variation is a powerful tool in the study of optimal control theory.
(27) The calculus of variation is used in sociology to model and analyze social dynamics.
(28) The calculus of variation is used in finance to find the optimal investment strategy.
(29) The calculus of variation is used in linguistics to model the structure of languages.
(30) The calculus of variation is used in genetics to model and analyze genetic processes.
Sentence of calculus of variation
(31) The calculus of variation is used in transportation planning to optimize traffic flow.
(32) The calculus of variation is used in linguistics to study optimal language structures.
(33) The calculus of variation is used in astronomy to model the motion of celestial bodies.
(34) The calculus of variation is used in biology to model and analyze biological processes.
(35) The calculus of variation is used in chemistry to model and analyze chemical reactions.
(36) The calculus of variation is used in materials science to optimize material properties.
(37) The calculus of variation is used in game theory to find optimal strategies for players.
(38) The calculus of variation is used in genetics to study optimal gene expression patterns.
(39) The calculus of variation is used in robotics to optimize the motion planning of robots.
(40) The calculus of variation is used in psychology to model human decision-making processes.
Calculus Of Variation meaningful sentence
(41) The calculus of variation is a branch of mathematics that has been studied for centuries.
(42) The calculus of variation is used in transportation engineering to optimize traffic flow.
(43) The calculus of variation is a branch of mathematics that deals with optimizing functions.
(44) The calculus of variation is a fundamental concept in the field of optimal control theory.
(45) The calculus of variation is used in sociology to study optimal social network structures.
(46) The calculus of variation is used in linguistics to model and analyze language structures.
(47) The calculus of variation is a fundamental concept in the study of optimal control systems.
(48) The calculus of variation is used in psychology to study optimal decision-making processes.
(49) The calculus of variation is used in economics to find the optimal allocation of resources.
(50) The calculus of variation is used in environmental science to optimize resource management.
Calculus Of Variation sentence examples
(51) The calculus of variation is used in geology to model the behavior of geological formations.
(52) The calculus of variation is used in music theory to find the optimal harmonic progressions.
(53) The calculus of variation is used in game theory to find the optimal strategies for players.
(54) The calculus of variation is used in statistics to find the best fit for a given set of data.
(55) The calculus of variation is used in robotics to find the optimal trajectory for a robot arm.
(56) The calculus of variation is used in environmental science to model the behavior of ecosystems.
(57) The calculus of variation is a versatile mathematical tool with applications in various fields.
(58) The calculus of variation is used in psychology to model and analyze decision-making processes.
(59) The calculus of variation is used in economics to find the optimal production levels for a firm.
(60) The calculus of variation is used in environmental science to study optimal resource allocation.
Sentence with calculus of variation
(61) In the calculus of variation, the goal is to find the function that minimizes a certain integral.
(62) The calculus of variation is also used in economics to find the optimal decision-making strategies.
(63) The calculus of variation is used to find the shape of a soap film that minimizes its surface area.
(64) The calculus of variation is a branch of mathematics that has applications in many different fields.
(65) The calculus of variation is used to find the path that minimizes or maximizes a certain functional.
(66) The calculus of variation is used in biology to model the behavior of organisms in their environment.
(67) The calculus of variation is used in image processing to find the optimal reconstruction of an image.
(68) The calculus of variation is used in computer graphics to find the optimal path for a virtual camera.
(69) The calculus of variation is used in geology to study the optimal formation of geological structures.
(70) The calculus of variation is used in transportation planning to find the optimal routes and schedules.
Use calculus of variation in a sentence
(71) The calculus of variation is a powerful tool for solving optimization problems with multiple constraints.
(72) The calculus of variation is used in engineering to find the shape of an object that minimizes its energy.
(73) In the calculus of variation, we seek to find the function that minimizes or maximizes a certain integral.
(74) The calculus of variation is often used in physics to find the path that minimizes the action of a system.
(75) The calculus of variation is used in physics to find the path that a particle takes to minimize its action.
(76) The calculus of variation is used in computer science to solve problems in machine learning and optimization.
(77) The calculus of variation is used in physics to find the path that minimizes the action in classical mechanics.
(78) The calculus of variation is a mathematical framework for studying the behavior of systems subject to constraints.
(79) The calculus of variation is used in meteorology to study the optimal atmospheric conditions for weather prediction.
(80) The calculus of variation is used to solve problems involving finding the path that minimizes the time taken or the energy expended.
Calculus Of Variation meaning
Calculus of variation is a mathematical field that deals with finding the optimal path or function for a given problem. It involves determining the function that minimizes or maximizes a certain quantity, known as the functional, which is defined in terms of the unknown function and its derivatives. To effectively use the term "calculus of variation" in a sentence, it is important to understand its meaning and context. Here are some tips on how to incorporate this phrase into your writing:
1. Define the term: When introducing the phrase "calculus of variation" in your sentence, it is helpful to provide a brief definition or explanation.
For example, "The calculus of variation is a branch of mathematics that focuses on finding the optimal function for a given problem."
2. Provide context: To make your sentence more meaningful, it is essential to provide context or background information. This can be done by mentioning the specific problem or application related to the calculus of variation. For instance, "In physics, the calculus of variation is often used to determine the path taken by a particle that minimizes the action."
3. Highlight the objective: Emphasize the purpose or objective of using the calculus of variation in your sentence. This can help the reader understand the significance of the phrase.
For example, "By applying the calculus of variation, engineers can optimize the shape of a bridge to minimize material usage while ensuring structural integrity."
4. Explain the process: If relevant, briefly describe the steps involved in applying the calculus of variation. This can help the reader grasp the methodology behind the phrase. For instance, "The calculus of variation involves formulating an integral expression, applying the Euler-Lagrange equation, and solving for the unknown function."
5. Give examples: To illustrate the versatility of the calculus of variation, provide examples of its applications in various fields. This can help the reader visualize how the phrase is used in different contexts. For instance, "The calculus of variation has been successfully applied in economics to determine the optimal production levels that maximize profit."
6. Connect with related concepts: Relate the phrase "calculus of variation" to other mathematical or scientific concepts to enhance understanding. This can be done by mentioning related terms or theories.
For example, "The calculus of variation is closely related to optimization theory and is often used in conjunction with partial differential equations."
7. Highlight its significance: Conclude your sentence by emphasizing the importance or relevance of the calculus of variation in the given context. This can help the reader appreciate the value of the phrase. For instance, "The calculus of variation plays a crucial role in fields such as physics, engineering, economics, and even biology, enabling researchers to find optimal solutions to complex problems." By following these tips, you can effectively incorporate the phrase "calculus of variation" into your writing, providing a clear and comprehensive understanding of its meaning and application.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Calculus Of Variation. They do not represent the opinions of TranslateEN.com.