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In October 1824, Fourier published a scientific paper titled "Remarques generales sur les Temperatures du globe terrestre et des espaces planetaires" in the journal Annales de Chimie et de Physique, Tome XXVII (pp.136-167), in which he presented his results from a mathematical analysis, that climate-change experts today (the ones who actually are experts) generally regard as the start of climate-change science.

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What is the Fourier transform of a sine wave?

The Fourier transform of a sine wave is a pair of delta functions located at the positive and negative frequencies of the sine wave.


What is the Fourier transform of the Coulomb potential?

The Fourier transform of the Coulomb potential is a function that describes how the electric field generated by a point charge varies with distance in reciprocal space.


What is the Fourier transform of the function f(x) 1/r?

The Fourier transform of the function f(x) 1/r is 1/k, where k is the wave number.


What are the differences between Laplace and Fourier transforms?

Laplace and Fourier transforms are mathematical tools used to analyze functions in different ways. The main difference is that Laplace transforms are used for functions that are defined for all real numbers, while Fourier transforms are used for functions that are periodic. Additionally, Laplace transforms focus on the behavior of a function as it approaches infinity, while Fourier transforms analyze the frequency components of a function.


What are the key differences between the Fourier transform and the Laplace transform?

The key difference between the Fourier transform and the Laplace transform is the domain in which they operate. The Fourier transform is used for signals that are periodic and have a frequency domain representation, while the Laplace transform is used for signals that are non-periodic and have a complex frequency domain representation. Additionally, the Fourier transform is limited to signals that are absolutely integrable, while the Laplace transform can handle signals that grow exponentially.

Related Questions

What are Joseph Fourier's works?

Fourier series and the Fourier transform


Why was Joseph Fourier famous?

Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.


Digital fourier analyzer?

digital fourier analyzer analyses the signals in the form of fast fourier transform.


What did Joseph fourier discover?

Joseph Fourier is a French mathematician and physicist. Fourier is generally credited with the discovery of the greenhouse effect.


What is the difference between fourier series and discrete fourier transform?

Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.


What is the difference between discrete fourier transform and fast fourier transform?

discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.


How can a composite signal be decomposed into its individual frequencies?

Fourier analysis Frequency-domain graphs


Why you use fast fourier transform?

The fast fourier transform, which was invented by Tukey, significantly improves the speed of computation of discrete fourier transform.


What is the difference between fourier series and fourier transform with real life example please?

A Fourier series is a set of harmonics at frequencies f, 2f, 3f etc. that represents a repetitive function of time that has a period of 1/f. A Fourier transform is a continuous linear function. The spectrum of a signal is the Fourier transform of its waveform. The waveform and spectrum are a Fourier transform pair.


What is Joseph Fourier's birthday?

Joseph Fourier was born on March 21, 1768.


When was Joseph Fourier born?

Joseph Fourier was born on March 21, 1768.


What is Charles Fourier's birthday?

Charles Fourier was born on April 7, 1772.