This paper predates the first presentation by Joseph Fourier on the subject in 1807.

Today, the subject of Fourier analysis encompasses a vast spectrum of mathematics.

In 2007 an anonymous group called The Meritocracy Party published its first manifesto, to which they have now added more than two million words on the subject ( discussing Hegel, Rousseau, Charles Fourier, Henri de Saint-Simon and various other philosophers, scientists, reformers and revolutionaries ).

The wavelets forming a continuous wavelet transform ( CWT ) are subject to the uncertainty principle of Fourier analysis respective sampling theory: Given a signal with some event in it, one cannot assign simultaneously an exact time and frequency response scale to that event.

Sobolev spaces can be defined by some growth conditions on the Fourier transforms ; they and their embedding theorems are an important subject in functional analysis.

Then the statement is that the sum of delta-functions at each point of Λ, and at each point of Λ ′, are again Fourier transforms as distributions, subject to correct normalization.

The advent of Wiener's tauberian theorem marked an epoch in the subject, introducing unexpected connections to Banach algebra methods in Fourier analysis.

One of the major problems in the subject is to determine, for any specified multiplier m, whether the corresponding Fourier

The series website includes many images from the television series as well as background information on the subject.

As part of a promotional campaign for the new series, cinemas screening Jackass 3D opened the feature film with a 3-D Beavis and Butt-Head short subject.

She has also been the subject of a 1978 British TV series, Warrior Queen, starring Siân Phillips as Boudica.

Doherty was the subject of a series of photographs, taken before and after he died by French journalist Gilles Peress.

EEG measures the electrical fields generated by large populations of neurons in the cortex by placing a series of electrodes on the scalp of the subject.

From about 860, the Tang Dynasty declined due to a series of rebellions within China itself and in the former subject Kingdom of Nanzhao to the south.

Beginning in the 1880s and 1890s through the end of his life in 1926, Monet worked on " series " paintings, in which a subject was depicted in varying light and weather conditions.

For instance, at the Stanford Research Institute, in 1972, Harold Puthoff and Russell Targ initiated a series of human subject studies to determine whether participants ( the viewers or percipients ) could reliably identify and accurately describe salient features of remote locations or targets.

* The character Dan Rydell in the short lived series Sports Night was a Dartmouth alumnus, a subject that is mentioned in numerous episodes.

When the comic switched to the Tamers series the storylines adhered to continuity more strictly ; sometimes it would expand on subject matter not covered by the original Japanese anime ( such as Mitsuo Yamaki's past ) or the English adaptations of the television shows and movies ( such as Ryo's story or the movies that remained undubbed until 2005 ).

The nature and existence of magic is a subject of debate among the characters in this series, with many individuals declining to believe in it.

Gumby has been the subject of a 233-episode series of American television as well as a feature-length film and other media.

She was also the subject of the documentaries Helen Keller in Her Story, narrated by Katharine Cornell, and The Story of Helen Keller, part of the Famous Americans series produced by Hearst Entertainment.

However, in the Beatles Anthology series in 1996, the three surviving Beatles confirmed that there was never an idea of having Julian sit in for his father as part of a Beatles reunion, with McCartney saying " why would we want to subject him to all of this?

In 1938, The Captain and the Kids became the subject of Metro-Goldwyn-Mayer's first self-produced series of theatrical short subject cartoons, directed by William Hanna, Bob Allen and Friz Freleng.

* Mahathir bin Mohamad's interview with the PBS series " Commanding Heights " on the subject of East Asian economic development.

Li authored a series of articles in New Youth on the subject of the October Revolution which had just occurred in Russia, during which the communist Bolshevik Party under the leadership of Vladimir Lenin ( 1870 – 1924 ) had seized power.

As his preface states, this volume was not part of that series, but rather his own reflections on the subject.

The series was occasionally the subject of controversy for some of its darker story elements, but was nevertheless the recipient of a number of awards, including the 1992 BAFTA for Best Comedy.

The term was coined by Otto Neurath in a series of early twentieth century essays on the subject, in which he wrote:

* Polyphemus is also the subject of a series of sculptures made by the French artist August Rodin about 1888.

Wender and Klein point out that pessimism can be useful in some circumstances: " If one is subject to a series of defeats, it pays to adopt a conservative game plan of sitting back and waiting and letting others take the risks.

As Massimo Introvigne of the Center for Studies on New Religion explains, Preacher was " among the popular comic book series which ... focused interest on the subject.

The penultimate episode investigates the implications of sounding the main subject, countersubject and their inversions simultaneously in stretto.

It also operates the domestic intelligence service ( Service for Analysis and Prevention SAP ), and the Federal Criminal Police ( FCP ), which investigates crimes subject to federal jurisdiction.

It investigates cybernetics with awareness that the investigators are part of the system, and of the importance of self-referentiality, self-organizing, the subject – object problem, etc.

It investigates " learning ability " and candidates admitted only subject to an appropriate standing on this test.

Thus the student of literature may sometimes find it helpful to classify a poem or an essay as being in idea or in ideal content or subject matter typical or atypical of its period.

The rule, as was inevitable, was subject to frequent violations ; but it was not until the foundation of the Cluniac Order that the idea of a supreme abbot, exercising jurisdiction over all the houses of an order, was definitely recognized.

Deane and J. R. Thomson write this valid conclusion, “ The Book of Obadiah is occupied with one subject – the punishment of Edom for its cruel and unbrotherly love conduct towards Judah ...” One can link this idea of punishment to one of the major prophets “ Ezekiel ” who “... interprets the exile to Babylon and the destruction of Jerusalem as deserved punishments for the sins of those who themselves committed them .” Verses 3-7 in Obadiah explain to the reader the reason for the punishment theme, “ Confidence in one ’ s power, intelligence, allies, or the topographical features of one ’ s territory is often mentioned as an attribute of those who foolishly confront the Lord and are consequently punished .” Although destruction is vital to understanding Obadiah, it is of note to understand the destruction being a consequence of action.

: The mock epic ( A. J. Liebling, Calvin Trillin, the French writer Robert Courtine, and any good restaurant critic ) is essentially comic and treats the small ambitions of the greedy eater as though they were big and noble, spoofing the idea of the heroic while raising the minor subject to at least temporary greatness.

", and then came up with the idea that returning a dead Norwegian Blue parrot to a pet shop might make for a more interesting subject than returning a toaster.

It is his noble and powerful style, sustained through every change of idea and subject, that finally separates Homer from all forms of ballad poetry and popular epic.

Most hierarchies use a more specific vocabulary pertaining to their subject, but the idea behind them is the same.

When James Braid first described hypnotism, he did not use the term " suggestion " but referred instead to the act of focusing the conscious mind of the subject upon a single dominant idea.

The great object in all these processes is to induce a habit of abstraction or concentration of attention, in which the subject is entirely absorbed with one idea, or train of ideas, whilst he is unconscious of, or indifferently conscious to, every other object, purpose, or action.

Although a substantial number of colonies had been designed or subject to provide economic profit ( mostly through the seventeenth and eighteenth centuries ), Fieldhouse suggests that in the nineteenth and twentieth centuries in places such as Africa and Asia, this idea is not necessarily valid:

It was the country versus the city — an exasperating idea for them, as was the amazing fact that every new work of Rousseau ’ s was a huge success, whether the subject was politics, theater, education, religion, or a novel about love.

Fundamental to Marx's idea of meaningful labour is the proposition that, in order for a subject to come to terms with its alienated object, it must first exert influence upon literal, material objects in the subject's world.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Many such people believed in the idea that the United States is by definition benevolent, that the extension of its power, influence and hegemony is an extension of benevolence and brings freedom to those people subject to that hegemony.

Hussey reported that when he suggested to Bouvard that the unusual motion of Uranus might be due to the gravitational influence of an undiscovered planet, Bouvard replied that the idea had occurred to him, and that he had corresponded with Peter Andreas Hansen, director of the Seeberg Observatory in Gotha, about the subject.

Bearden wanted to show how nothing is fixed, and represented this idea throughout the image: not only is the subject being baptized about to have water poured from the top, but the subject is also about to be submerged in water.

A key notion in the work of the Frankfurt School since Dialectic of Enlightenment had been the idea of thought becoming an instrument of domination that subsumes all objects under the control of the ( dominant ) subject, especially through the notion of identity, i. e. of identifying as real in nature and society only that which harmonized or fit with dominant concepts, and regarding as unreal or non-existent everything that did not.

* Theme ( arts ), the unifying subject or idea of the type of visual work

* Theme ( literature ), the unifying subject or idea of a story

Crystal remembers saying, "' We need something for Sally to talk about ,' and Nora said, ' Well, faking orgasm is a great one ,' and right away we said, ' Well, the subject is good ,' and then Meg came on board and we talked with her about the nature of the idea and she said, ' Well, why don't I just fake one, just do one?

In the autumn of 1868, Vladimir Nikolsky, a professor of Russian history and language, and an authority on Pushkin, suggested to Mussorgsky the idea of composing an opera on the subject of Pushkin's drama Boris Godunov.

The idea of being the " freest " or " most general " algebra subject to this identity can be formally expressed through the notion of a universal property, as done below.

The idea of the work was suggested to Holst by Clifford Bax, who introduced him to astrology when the two were part of a small group of English artists holidaying in Majorca in the spring of 1913 ; Holst became quite a devotee of the subject, and liked to cast his friends ' horoscopes for fun.