Quadrature in a sentence
Synonym: measurement.
Meaning: The process of determining the area of a figure, especially a circle.
(1) The quadrature of a rectangle is simply its area.
(2) The concept of quadrature is often used in mathematics.
(3) The quadrature of the rectangle is a simple calculation.
(4) The quadrature of a circle has been a problem for centuries.
(5) Quadrature methods are widely used in physics and engineering.
(6) The quadrature rule helps us estimate the value of an integral.
(7) The quadrature error measures the accuracy of an approximation.
(8) The quadrature of the sphere is a complex mathematical problem.
(9) The quadrature of the ellipse can be calculated using calculus.
(10) The quadrature method is commonly used in numerical integration.
Quadrature sentence
(11) The quadrature formula is derived from Taylor series expansions.
(12) The quadrature of the cylinder can be calculated using calculus.
(13) The Gaussian quadrature method is used to approximate integrals.
(14) The quadrature of the cone is a challenging mathematical problem.
(15) The quadrature formula is a key tool in computational mathematics.
(16) The quadrature of the sphere is a challenging problem in geometry.
(17) The quadrature of the triangle requires knowledge of trigonometry.
(18) The quadrature formula allows us to approximate definite integrals.
(19) The quadrature formula is derived from the concept of Riemann sums.
(20) The quadrature of the trapezoid is a basic calculation in geometry.
Quadrature make sentence
(21) The Gaussian quadrature method was used to approximate the integral.
(22) The Gauss-Kronrod quadrature rule is used for numerical integration.
(23) The Gauss-Hermite quadrature rule is used for numerical integration.
(24) The quadrature of the ellipse requires advanced mathematical skills.
(25) The quadrature of the parabola is a fundamental concept in calculus.
(26) The quadrature algorithm is used to calculate the area under a curve.
(27) This optical encoder uses a quadrature output for increased accuracy.
(28) I am currently studying the quadrature of curves in my calculus class.
(29) The quadrature of the polygon can be calculated using various methods.
(30) The quadrature points are evenly spaced along the integration interval.
Sentence of quadrature
(31) The quadrature rule is based on the principle of numerical integration.
(32) The quadrature technique is a fundamental tool in computational science.
(33) The quadrature of the triangle is a bit more complex than the rectangle.
(34) Quadrature algorithms are constantly being improved to increase accuracy.
(35) Quadrature algorithms are used to calculate the area of irregular shapes.
(36) The demodulator chip demodulates the quadrature phase-shift keying signal.
(37) The quadrature technique is widely used in the field of numerical analysis.
(38) The quadrature of the circle has been a mathematical problem for centuries.
(39) The quadrature of the rectangle can be easily calculated using the formula.
(40) The quadrature of the hyperbola requires knowledge of advanced mathematics.
Quadrature meaningful sentence
(41) The quadrature of the polygon can be calculated using the shoelace formula.
(42) The quadrature of the hyperbola is a topic of study in advanced mathematics.
(43) Quadrature techniques are essential in solving complex mathematical problems.
(44) The quadrature scheme provides a numerical solution to differential equations.
(45) The quadrature error can be reduced by using higher-order approximation methods.
(46) The demodulation technique demodulates the quadrature amplitude modulation signal.
(47) The quadrature error can be minimized by carefully selecting the integration points.
(48) The quadrature of the cone is a problem that has been solved by many mathematicians.
(49) Quadrature methods are used to solve problems in signal processing and image analysis.
(50) The quadrature approximation becomes more accurate as the number of intervals increases.
Quadrature sentence examples
(51) The quadrature rule is based on the concept of dividing an interval into smaller segments.
(52) Quadrature methods are essential in solving problems involving multidimensional integrals.
(53) The quadrature technique is particularly useful when analytical solutions are not feasible.
(54) The quadrature process involves dividing the integration interval into smaller subintervals.
(55) By demodulating the quadrature amplitude modulation signal, the original data can be retrieved.
(56) Quadrature algorithms are implemented in computer programs to solve complex mathematical problems.
(57) The demodulation technique demodulates the quadrature phase-shift keying signal with low error rate.
(58) By demodulating the quadrature phase-shift keying signal, the transmitted information can be decoded.
(59) The receiver module demodulates the quadrature amplitude modulation signal to recover the transmitted data.
(60) The demodulator chip demodulates the quadrature phase-shift keying signal with excellent signal-to-noise ratio.
Quadrature meaning
Quadrature is a term that is commonly used in mathematics and physics, referring to the process of dividing a shape or an area into four equal parts. It is derived from the Latin word "quadratus," meaning square. In this article, we will explore various tips and examples on how to use the word "quadrature" or the phrase "in quadrature" in a sentence.
1. Definition and Context: Before delving into the usage of the word, it is essential to understand its meaning and context. Quadrature is often employed in mathematical equations, particularly in calculus and geometry, to describe the process of dividing a shape into four equal parts. In physics, it is used to represent the phase difference between two oscillating quantities.
2. Mathematical Usage: When using "quadrature" in a mathematical context, it is crucial to provide a clear explanation of the concept. For example: - "The quadrature of a circle involves dividing the circumference into four equal arcs." - "In calculus, the term 'quadrature' refers to the process of finding the area under a curve."
3. Physics Usage: In physics, "quadrature" is commonly used to describe the phase difference between two oscillating quantities. Here are a few examples: - "The two waves are in quadrature, with one reaching its maximum while the other is at its minimum." - "The quadrature phase shift between the voltage and current waveforms is crucial in understanding the behavior of AC circuits."
4. Historical and Cultural References: To add depth to your writing, you can incorporate historical or cultural references related to quadrature. For instance: - "The ancient Greeks were fascinated by the problem of quadrature, attempting to find a geometric solution to squaring the circle." - "Quadrature played a significant role in the development of astronomy, particularly in understanding the motion of celestial bodies."
5. Real-World Applications: To make your writing more relatable, consider including real-world applications of quadrature. Here are a few examples: - "Quadrature is essential in computer graphics for rendering realistic 3D objects by dividing them into smaller polygons." - "In satellite navigation systems, quadrature is used to determine the position of a receiver by analyzing the phase difference of signals from multiple satellites."
6. Technical Jargon: When using "quadrature" in technical discussions, it is important to ensure that your audience understands the terminology. If necessary, provide definitions or explanations. For instance: - "The quadrature encoder provides precise position and velocity information by generating two signals that are 90 degrees out of phase."
7. Analogies and Metaphors: To enhance the reader's understanding, you can use analogies or metaphors to explain quadrature. For example: - "In music, the concept of quadrature can be likened to harmonies, where different notes blend together to create a rich and balanced sound." - "Just as a compass divides a circle into four equal parts, quadrature allows us to break down complex problems into manageable components."
8. Common Phrases: Lastly, it is important to understand how the phrase "in quadrature" is commonly used. Here are a few examples: - "The two signals are in quadrature, resulting in a more accurate measurement." - "The system utilizes a quadrature modulation technique to transmit data efficiently."
In conclusion, the word "quadrature" and the phrase "in quadrature" have various applications in mathematics, physics, and other fields. By following these tips and incorporating relevant examples, you can effectively use this word or phrase in your writing, enhancing 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 Quadrature. They do not represent the opinions of TranslateEN.com.