Fourier in a sentence

  • Sentence count: 209
  • Posted:
  • Updated:


Fourier in a sentence

(1) The sine curve is a key component in Fourier analysis.

(2) Qubits can be used to perform quantum Fourier transforms.

(3) DFT is an acronym that stands for Discrete Fourier Transform.

(4) Spectral transfer is a fundamental concept in Fourier analysis.

(5) I am currently studying the properties of the Fourier transform.

(6) The imaginaries array is used in Fourier transform computations.

(7) The borels of a function can be used to find its Fourier series.

(8) The decomp of a sound wave can be analyzed using Fourier analysis.

(9) The wave number of this wave is a key parameter in Fourier analysis.

(10) When you integrate over a Fourier series, you find its coefficients.



Fourier sentence

(11) Orthogonalizing the basis functions is important in Fourier analysis.

(12) I am fascinated by the mathematical elegance of the Fourier transform.

(13) The Fourier transform can be used to analyze and manipulate sinusoids.

(14) The 'wavenumbers' array is an essential component in Fourier analysis.

(15) The cosec of an angle can be found using the Fourier series expansion.

(16) The DFT is closely related to the Fourier series and Fourier transform.

(17) The Fourier series can be used to solve partial differential equations.

(18) The ansatz for solving this problem involves using a Fourier transform.

(19) The Fourier transform is a key component in many audio and video codecs.

(20) The spectral power of the signal was measured using a Fourier transform.




Fourier make sentence

(21) The DFT is an efficient way to compute the Fourier transform of a signal.

(22) The orthogonality of a set of functions is important in Fourier analysis.

(23) The spectral density of the signal was calculated using Fourier analysis.

(24) The flux density of the heat transfer was calculated using Fourier's law.

(25) I am currently working on implementing a fast Fourier transform algorithm.

(26) The cyclic behavior of the array can be analyzed using Fourier transforms.

(27) The eigenfunction of a Fourier transform is a complex exponential function.

(28) The Fourier transform is a mathematical technique used in signal processing.

(29) The Fourier transform allows us to analyze a signal in the frequency domain.

(30) Circulant matrices can be diagonalized using the discrete Fourier transform.



Sentence of fourier

(31) The Fourier series can be used to analyze the frequency content of a signal.

(32) The Fourier series can be used to analyze the stability of a control system.

(33) Bessel functions are a key component in the theory of Fourier-Bessel series.

(34) The coprecipitate was analyzed using Fourier-transform infrared spectroscopy.

(35) The Fourier series can be used to analyze the diffraction patterns in optics.

(36) The Fourier transform is named after the French mathematician Joseph Fourier.

(37) We used Fourier analysis to extract useful information from the interferogram.

(38) The algorithm interpolates the missing values by applying a Fourier transform.

(39) The concept of spectral inversion is closely related to the Fourier transform.

(40) The orthonormality of a set of basis functions is crucial in Fourier analysis.




Fourier meaningful sentence

(41) The circulant matrix can be diagonalized using the discrete Fourier transform.

(42) The Fourier series is a fundamental concept in the study of harmonic analysis.

(43) The Fourier series can be used to analyze the periodicity of a given function.

(44) The Fourier series can be used to perform spectral analysis on a given signal.

(45) The Fourier series can be used to analyze the phase shift between two signals.

(46) The Fourier transform is a mathematical tool used to analyze signals and data.

(47) The power spectrum can be calculated using techniques such as Fourier analysis.

(48) The spectral density is a fundamental concept in the field of Fourier analysis.

(49) The Fourier series is a mathematical tool used to represent periodic functions.

(50) The Fourier transform can be used to decompose a complex signal into sinusoids.



Fourier sentence examples

(51) The Fourier transform can be used to analyze the frequency content of a signal.

(52) The spectral envelope can be analyzed using techniques such as Fourier analysis.

(53) The Fourier series can be used to analyze the periodicity of a time series data.

(54) The Fourier series can be used to filter out unwanted frequencies from a signal.

(55) The Fourier series can be used to analyze the vibrations of a mechanical system.

(56) The Fourier series can be used to analyze the heat transfer in a thermal system.

(57) The Fourier series can be used to analyze the time-varying behavior of a system.

(58) The Fourier transform for a signal can be used to analyze its frequency content.

(59) The eigenfunctions of a Fourier transform are the complex exponential functions.

(60) The baseband waveform was complex, so we used a Fourier transform to analyze it.



Sentence with fourier

(61) The difference frequency of the two waves can be analyzed using Fourier analysis.

(62) The Fourier transform is a fundamental concept in the field of harmonic analysis.

(63) The Fourier series can be used to analyze the periodicity of a heart rate signal.

(64) The Fourier transform for a real-valued signal has a conjugate symmetry property.

(65) The algorithm for calculating the Fourier transform of a signal is quite complex.

(66) The Fourier transform is a powerful tool for analyzing the periodicity of a signal.

(67) The Fourier transform is used in telecommunications to analyze and process signals.

(68) The Fourier series allows us to analyze the frequency content of a periodic signal.

(69) The Fourier series can be used to analyze the resonance frequencies of a structure.

(70) The Fourier transform is used in image processing to analyze and manipulate images.




Use fourier in a sentence

(71) The Fourier transform can be used to filter out unwanted frequencies from a signal.

(72) A circulant matrix can be efficiently inverted using the discrete Fourier transform.

(73) The orthonormality of the Fourier basis functions is essential in signal processing.

(74) The coprecipitates were characterized using Fourier transform infrared spectroscopy.

(75) The Fourier transform is used in seismology to analyze and interpret seismic signals.

(76) The Dirac comb is a periodic function used in signal processing and Fourier analysis.

(77) The Fourier transform can be used to analyze sinusoids and decompose complex signals.

(78) A circulant convolution can be efficiently computed using the fast Fourier transform.

(79) The Fourier series can be used to reconstruct a signal from its frequency components.

(80) The Fourier series can be used to analyze the frequency response of a digital filter.



Sentence using fourier

(81) The convergents of the Fourier series were used to approximate the periodic function.

(82) FFF is an acronym for the Fast Fourier Transform algorithm used in signal processing.

(83) The Fourier transform is used in radar systems to analyze and interpret radar signals.

(84) I am currently studying the mathematical properties of the discrete Fourier transform.

(85) The concept of phasors is closely related to the Fourier series and Fourier transform.

(86) Understanding the Fourier series is essential in signal processing and image analysis.

(87) The Fourier series is a powerful tool for analyzing the frequency content of a signal.

(88) The Fourier series is often used in image compression algorithms to reduce file sizes.

(89) The Fourier series can be used to analyze the interference patterns in wave phenomena.

(90) The Fourier transform is widely used in image processing to enhance and analyze images.



Fourier example sentence

(91) The Fourier transform is an integral part of many digital signal processing techniques.

(92) The circulant matrix can be efficiently exponentiated using the fast Fourier transform.

(93) The Fourier series is used in audio processing to analyze and manipulate sound signals.

(94) The Fourier series is a fundamental concept in the study of waveforms and oscillations.

(95) The Fourier series allows us to analyze the frequency components of a periodic waveform.

(96) The Fourier series is used in digital image processing to analyze and manipulate images.

(97) The Fourier series is named after the French mathematician Jean-Baptiste Joseph Fourier.

(98) The Fourier series expansion is based on the orthogonality of sine and cosine functions.

(99) I am currently researching the applications of the Fourier transform in machine learning.

(100) The Fourier transform is used in astronomy to analyze and interpret astronomical signals.



Sentence with word fourier

(101) I am currently working on developing a new algorithm for computing the Fourier transform.

(102) The Fourier transform is a powerful tool for analyzing and understanding complex signals.

(103) The Fourier transform is used in audio processing to analyze and manipulate sound signals.

(104) The Fourier series is widely used in fields such as physics, engineering, and mathematics.

(105) The Fourier series can be used to analyze the frequency response of an electrical circuit.

(106) The Fourier series can be used to analyze the power distribution in an electrical network.

(107) The algorithm for calculating the discrete Fourier transform of a signal is quite complex.

(108) Understanding the Fourier transform is essential in many fields of science and engineering.

(109) Qubits can be used to implement quantum Fourier transforms for efficient signal processing.

(110) The Fourier series can be used to approximate a function by using a finite number of terms.



Sentence of fourier

(111) Epicycloids can be generated using various mathematical techniques, such as Fourier series.

(112) The Fourier transform for a signal can be used to filter out unwanted frequency components.

(113) The Fourier spectrum is a graphical representation of the frequency components of a signal.

(114) The Fourier transform is an essential tool in modern physics, engineering, and mathematics.

(115) I need to apply the Fourier transform to this set of data to extract meaningful information.

(116) The Fourier series can be used to solve differential equations involving periodic functions.

(117) The Fourier series provides a way to analyze and manipulate signals in the frequency domain.

(118) The Fourier transform is used in digital signal processing to filter and manipulate signals.

(119) The Fourier series coefficients determine the amplitude and phase of each harmonic component.

(120) The Fourier series can be used to analyze the frequency modulation in a communication system.



Fourier used in a sentence

(121) The process of spectral inversion is based on the mathematical principle of Fourier analysis.

(122) The Fourier transform for a discrete-time signal can be obtained by summing over all samples.

(123) The Fourier transform is widely used in fields such as engineering, physics, and mathematics.

(124) The Fourier transform is a fundamental concept in modern signal processing and data analysis.

(125) The Fourier transform is used in speech synthesis systems to generate realistic speech sounds.

(126) Researchers used a Fourier transform algorithm to enhance the spectral resolution of the data.

(127) The conduction of heat through a material can be described by Fourier's law of heat conduction.

(128) Some notable utopian socialists include Robert Owen, Charles Fourier, and Henri de Saint-Simon.

(129) The Fourier series can be used to analyze the behavior of a system under different frequencies.

(130) The Fourier transform for a signal with finite power exists if the signal is square integrable.



Fourier sentence in English

(131) The Fourier transform is widely used in signal processing, image processing, and data analysis.

(132) The Fourier transform is used in video compression algorithms to reduce the size of video files.

(133) The Fourier series allows us to decompose a complex waveform into simpler sinusoidal components.

(134) The Fourier series provides a way to express any periodic function as a sum of sinusoidal terms.

(135) The Fourier series can be used to analyze the harmonics present in a musical instrument's sound.

(136) The Fourier transform for a periodic function can be expressed as a sum of complex exponentials.

(137) The Fourier transform for a continuous-time signal can be obtained by integrating over all time.

(138) The inverse Fourier transform with a Gaussian filter was used to reconstruct the original image.

(139) The coprecipitate's surface chemistry was analyzed using Fourier-transform infrared spectroscopy.

(140) The Fourier transform is used in medical imaging to analyze and interpret various types of scans.

(141) The coefficients of the Fourier series determine the amplitudes and frequencies of the harmonics.

(142) Engineers often use the Fourier series to analyze and manipulate signals in various applications.

(143) Sinusoidal waves can be analyzed using Fourier analysis to determine their component frequencies.

(144) The Fourier transform can be used to convert a time-domain signal into a frequency-domain signal.

(145) Inverting through the Fourier transform is necessary for solving many signal processing problems.

(146) The circulant matrix can be efficiently multiplied with a vector using the fast Fourier transform.

(147) The Fourier series was first introduced by Jean-Baptiste Joseph Fourier in the early 19th century.

(148) The Fourier series is a mathematical technique used to analyze the periodic behavior of functions.

(149) The concept of utopian socialism was popularized by thinkers like Charles Fourier and Robert Owen.

(150) Fourier's ideas about the phalanstery were met with both enthusiasm and skepticism during his time.

(151) The spectral purity of a signal can be analyzed using various techniques, such as Fourier analysis.

(152) The Fourier series is widely used in various fields such as signal processing and image compression.

(153) The Fourier transform for a signal with finite energy exists if the signal is absolutely integrable.

(154) The Fourier series can be used to approximate non-periodic functions by repeating them periodically.

(155) The cosine function is used in Fourier analysis to decompose a signal into its frequency components.

(156) The wave equation can be solved using techniques such as separation of variables or Fourier analysis.

(157) Fourier's vision of a phalanstery included principles of gender equality and shared responsibilities.

(158) The Fourier series provides a way to represent a periodic function as a sum of sine and cosine terms.

(159) The Fourier coefficients are the coefficients of the sine and cosine functions in the Fourier series.

(160) The Fourier series expansion of a function can be used to approximate its behavior over a given range.

(161) The Fourier transform is a complex mathematical operation that involves integrals and complex numbers.

(162) The concept of a phalanstery was popularized by French philosopher Charles Fourier in the 19th century.

(163) The Fourier series expansion of a function can be used to approximate its behavior over a given period.

(164) Fourier analysis is a mathematical technique used to decompose complex signals into simpler components.

(165) Fourier believed that a phalanstery would lead to a more balanced and fulfilling life for its residents.

(166) Fourier believed that a phalanstery would lead to a more equitable distribution of wealth and resources.

(167) The Fourier series allows us to analyze the amplitude and phase of each frequency component in a signal.

(168) The Fourier series is widely used in the field of telecommunications for signal analysis and processing.

(169) The DCT is closely related to the Fourier transform, but is more efficient for certain types of signals.

(170) The Fourier transform can be used to decompose a complex signal into its individual frequency components.

(171) Fourier's ideas about the phalanstery influenced other utopian thinkers and social reformers of his time.

(172) The Fourier series expansion of a function can be used to approximate its behavior over a given interval.

(173) The Fourier series expansion allows us to express a function as an infinite sum of sine and cosine terms.

(174) The Fourier transform for a signal can be used to compress its data by removing high-frequency components.

(175) The Fourier transform for a signal can be used to convert it from the time domain to the frequency domain.

(176) The Fourier transform is used in speech recognition systems to extract relevant features from audio signals.

(177) A circulant matrix can be efficiently diagonalized using the eigenvectors of the discrete Fourier transform.

(178) Fourier believed that a phalanstery would lead to the development of individuals' full potential and talents.

(179) The chemist used a technique called Fourier transform infrared spectroscopy to study the polymerize reaction.

(180) The Fourier series allows us to represent a periodic function as an infinite sum of sine and cosine functions.

(181) The Fourier series provides a way to express any periodic function as a sum of harmonically related sinusoids.

(182) The spectral linewidth of the photoluminescence spectrum was characterized using a Fourier transform technique.

(183) A circulant matrix can be efficiently multiplied with another circulant matrix using the fast Fourier transform.

(184) The beamsplitter is crucial in Fourier transform spectroscopy for splitting the light into different frequencies.

(185) The Fourier series expansion of a function can be used to approximate its behavior over a specific time interval.

(186) The Fourier series is a mathematical representation of a periodic function as a sum of sine and cosine functions.

(187) The Fourier series is used in digital signal processing to convert signals between the time and frequency domains.

(188) Fourier's vision of a phalanstery included principles of ecological sustainability and respect for the environment.

(189) The Fourier series provides a way to express any periodic function as an infinite sum of sine and cosine functions.

(190) The Fourier transform is based on the principle that any signal can be represented as a sum of sinusoidal functions.

(191) The Fourier transform is a versatile tool that finds applications in various scientific and engineering disciplines.

(192) The Fourier transform is a linear transformation that converts a signal from the time domain to the frequency domain.

(193) Epicycloids, which can be approximated using Fourier series, provide a powerful tool for analyzing periodic functions.

(194) The Fourier transform is a mathematical operation that converts a signal from the time domain to the frequency domain.

(195) Bessel's inequality is a result in functional analysis that relates the norm of a function to its Fourier coefficients.

(196) Fluorene will exhibit a characteristic infrared spectrum if it is analyzed using Fourier-transform infrared spectroscopy.

(197) The inverse Fourier transform with a Kaiser window was used to reconstruct the original signal from the frequency domain.

(198) The inverse Fourier transform with a Tukey window was applied to the frequency spectrum to obtain the time-domain signal.

(199) The inverse Fourier transform with a Hanning window was used to convert the frequency-domain signal back to the time domain.

(200) The inverse Fourier transform with a Blackman window was applied to the frequency spectrum to obtain the time-domain signal.

(201) The inverse Fourier transform with a Bartlett window was applied to the frequency spectrum to obtain the time-domain signal.

(202) The inverse Fourier transform with a Chebyshev window was used to convert the frequency-domain signal back to the time domain.

(203) The inverse Fourier transform with a rectangular window was applied to the frequency spectrum to obtain the time-domain signal.

(204) The inverse Fourier transform with a raised cosine window was used to reconstruct the original signal from the frequency domain.

(205) The transfer function of a linear time-invariant system can be obtained by applying the Fourier transform to its impulse response.

(206) The wave velocity of a wave on a guitar string can be analyzed using Fourier analysis to determine the harmonic content of the sound.

(207) The Fourier series is based on the principle that any periodic function can be represented as a sum of harmonically related sinusoids.

(208) Fourier's ideas about the phalanstery continue to inspire discussions and debates about alternative forms of living and social organization.

(209) The signal was transformed into the frequency domain and then back to the time domain using the inverse Fourier transform with a Hamming window.



Fourier meaning


Fourier is a term that is commonly used in mathematics and physics. It refers to a mathematical technique that is used to analyze and transform complex signals into simpler components. The Fourier transform is a powerful tool that has many applications in various fields, including engineering, physics, and computer science. If you are looking to use the word Fourier in a sentence, there are a few tips that you should keep in mind. Here are some suggestions to help you use this term correctly:


1. Understand the meaning of Fourier: Before you can use the word Fourier in a sentence, it is important to understand what it means. Fourier refers to a mathematical technique that is used to analyze and transform complex signals into simpler components. This technique is named after the French mathematician Joseph Fourier, who first introduced it in the early 19th century.


2. Use Fourier in a technical context: Fourier is a technical term that is commonly used in mathematics and physics. Therefore, it is best to use this term in a technical context, such as when discussing mathematical equations or scientific theories.

For example, you could say, "The Fourier transform is a powerful tool for analyzing complex signals in engineering."


3. Provide context: When using the word Fourier in a sentence, it is important to provide context so that your audience can understand what you are talking about.

For example, you could say, "In physics, the Fourier series is used to represent periodic functions as a sum of sine and cosine functions."


4. Use Fourier in a research paper: If you are writing a research paper in mathematics or physics, you may need to use the word Fourier several times. In this case, it is important to use the term correctly and consistently throughout your paper. You could use phrases such as "Fourier analysis," "Fourier series," or "Fourier transform" to describe different aspects of the technique.


5. Use Fourier in a conversation with experts: If you are discussing mathematical or scientific concepts with experts in the field, it is important to use technical terms such as Fourier correctly. This will help you communicate effectively and avoid misunderstandings.

For example, you could say, "I am interested in learning more about the applications of the Fourier transform in computer science."


In conclusion, Fourier is a technical term that is commonly used in mathematics and physics. To use this term correctly, it is important to understand its meaning, use it in a technical context, provide context, use it consistently in research papers, and use it correctly in conversations with experts. By following these tips, you can use the word Fourier effectively and confidently in your writing and conversations.





The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Fourier. They do not represent the opinions of TranslateEN.com.