Closed Form in a sentence
Synonym: exact, analytical.
Meaning: A mathematical expression that can be evaluated in a finite number of steps.
(1) The statistician used a closed form function to analyze the data.
(2) The economist derived a closed form model to predict market trends.
(3) Closed form solutions allow for efficient computation and analysis.
(4) Closed form solutions are valuable in solving differential equations.
(5) The closed form of the equation can be expressed as a rational function.
(6) The closed form of the equation can be graphed to visualize its behavior.
(7) The economist derived a closed form formula to predict the inflation rate.
(8) The closed form of the function can be expressed as a polynomial equation.
(9) Closed form solutions are often used in optimization and modeling problems.
(10) The closed form of the equation can be used to find the roots or solutions.
Closed Form sentence
(11) The chemist discovered a closed form formula to calculate the reaction rate.
(12) The closed form of the recurrence relation can be used to find the nth term.
(13) The researcher discovered a closed form solution to the optimization problem.
(14) The closed form of the equation can be derived using algebraic manipulations.
(15) The closed form of the integral can be obtained using integration techniques.
(16) The closed form of the equation can be generalized to solve similar problems.
(17) The closed form of the series can be obtained by summing the individual terms.
(18) The closed form of the Fibonacci sequence can be derived using Binet's formula.
(19) The closed form of the binomial coefficient can be calculated using factorials.
(20) The closed form of the equation reveals the relationship between the variables.
Closed Form make sentence
(21) Closed form expressions allow for efficient computation in computer algorithms.
(22) The scientist used a closed form expression to model the behavior of the system.
(23) The economist derived a closed form function to predict the stock market trends.
(24) Closed form expressions are useful in simplifying complex mathematical problems.
(25) In mathematics, a closed form expression provides a direct solution to a problem.
(26) Closed form expressions are commonly used in mathematical proofs and derivations.
(27) The mathematician was able to find a closed form solution to the complex equation.
(28) The physicist used a closed form equation to describe the motion of the particles.
(29) The biologist used a closed form equation to describe the growth of the population.
(30) The biologist used a closed form equation to model the interaction between species.
Sentence of closed form
(31) Closed form solutions are often sought after in mathematical research and analysis.
(32) The engineer derived a closed form formula to calculate the stress on the structure.
(33) The closed form of the series can be used to determine its convergence or divergence.
(34) The geologist used a closed form expression to estimate the age of the rock formation.
(35) The chemist discovered a closed form expression to calculate the equilibrium constant.
(36) The closed form of the geometric sequence can be expressed as an exponential function.
(37) The statistician used a closed form model to analyze the correlation between variables.
(38) The mathematician found a closed form solution to the unsolved mathematical conjecture.
(39) Closed form expressions provide a concise representation of mathematical relationships.
(40) The engineer applied a closed form equation to design the optimal shape of the structure.
Closed Form meaningful sentence
(41) The physicist used a closed form function to describe the behavior of the quantum system.
(42) The computer scientist developed a closed form algorithm to solve the encryption problem.
(43) Closed form solutions are often preferred as they provide a concise and explicit solution.
(44) The engineer applied a closed form formula to optimize the energy efficiency of the system.
(45) Closed form expressions allow for easy evaluation and comparison of mathematical functions.
(46) Closed form expressions are essential in understanding the behavior of mathematical models.
(47) The closed form of the equation can be used to predict future values based on given inputs.
(48) The computer scientist developed a closed form algorithm to solve the computational problem.
(49) The geologist used a closed form formula to estimate the pressure within the Earth's mantle.
(50) Closed form solutions provide a clear understanding of the underlying mathematical concepts.
Closed Form sentence examples
(51) The mathematician proved the existence of a closed form solution to the mathematical problem.
(52) The geologist used a closed form function to estimate the depth of the underground reservoir.
(53) The statistician used a closed form model to analyze the probability distribution of the data.
(54) The biologist used a closed form equation to simulate the genetic evolution of the population.
(55) Closed form solutions are often derived through pattern recognition and mathematical reasoning.
(56) The physicist used a closed form equation to describe the behavior of the electromagnetic field.
(57) The computer scientist developed a closed form algorithm to solve the image recognition problem.
(58) The mathematician proved the uniqueness of the closed form solution to the mathematical equation.
(59) Closed form solutions are applicable in various fields such as physics, engineering, and finance.
(60) The closed form of the equation provides a direct solution without the need for iterative methods.
(61) The chemist discovered a closed form expression to calculate the activation energy of the reaction.
(62) The closed form solution for the integral of a function can be obtained using the fundamental theorem of calculus.
Closed Form meaning
Closed form is a term that is commonly used in various fields, including mathematics, literature, and linguistics. It refers to a specific type of expression or structure that has a fixed and definite form. In this article, we will explore the meaning of closed form and provide tips on how to use this term effectively in sentences. In mathematics, closed form refers to an expression that can be written using a finite number of standard mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. It is a concise and explicit representation of a mathematical concept or relationship.
For example, the formula for the sum of an arithmetic series, Sn = (n/2)(a + l), is a closed form expression as it provides a direct way to calculate the sum without the need for iterative calculations. When using the term "closed form" in a mathematical context, it is important to provide a clear and concise explanation of the concept or formula being referred to. For instance, you could say, "The closed form expression for the Fibonacci sequence is Fn = (?^n - (-?)^(-n))/?5, where ? is the golden ratio." This sentence not only mentions the term "closed form" but also provides additional information about the specific formula and its variables. In literature, closed form refers to a specific type of poetic structure or form that follows a predetermined pattern of rhyme, meter, or stanza. It is often associated with traditional poetic forms such as sonnets, haikus, or villanelles. When discussing closed form in literature, it is essential to provide examples or describe the specific characteristics of the form being referred to. For instance, you could write, "The poem 'Shall I compare thee to a summer's day?' by William Shakespeare is written in closed form, specifically a Shakespearean sonnet, with a rhyme scheme of ABABCDCDEFEFGG." This sentence not only mentions the term "closed form" but also provides details about the specific poem and its structure. In linguistics, closed form refers to a word or phrase that has a fixed and unchangeable form, typically used to represent a specific concept or object. These words or phrases are often contrasted with open form expressions, which allow for variations or modifications. When using the term "closed form" in a linguistic context, it is important to provide examples or describe the specific words or phrases being referred to.
For example, you could say, "The word 'cat' is an example of a closed form expression as it represents a specific animal species and cannot be modified or altered." This sentence not only mentions the term "closed form" but also provides an example and explanation of its linguistic usage. In summary, closed form is a term that is used in mathematics, literature, and linguistics to describe a specific type of expression or structure that has a fixed and definite form. When using this term in sentences, it is important to provide clear explanations, examples, and context to ensure effective communication.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Closed Form. They do not represent the opinions of TranslateEN.com.