* 1922 – Grace Paley, American writer ( d. 2007 )

* Major General AGV Paley 1954 – 11 Jan 1960

For instance, if we impose some requirements on a distribution f, we can attempt to translate these requirements in terms of the Fourier transform of f. The Paley – Wiener theorem is an example of this.

* Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet theory — Coding theory — Combinatorial game theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory — Field theory — Galois theory — Game theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory — Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood – Paley theory — Matrix theory — Measure theory — Model theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — PCF theory — Perturbation theory — Potential theory — Probability theory — Ramsey theory — Rational choice theory — Representation theory — Ring theory — Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm – Liouville theory — Twistor theory

* William Paley ( 1743 – 1805 ) English theologian known for his exposition of the teleological argument and rational religion.

William Paley ( July 1743 – 25 May 1805 ) was an English Christian apologist, philosopher, and utilitarian.

* May 25 – William Paley, English philosopher ( b. 1743 )

Dr. Frank Stanton, second only to Paley in his impact on CBS, president 1946 – 1971

One of his daughters, Princess Irene Pavlovna Paley ( 1903 – 1990 ), married in exile in 1923 her cousin, Prince Theodor Aleksandrovich of Russia, ( 1898-1968.

* Paley – Wiener theorem

The Paley – Wiener theorem relates growth properties of entire functions on C < sup > n </ sup > and Fourier transformation of Schwartz distributions of compact support.

In his other work Littlewood collaborated with Raymond Paley on Littlewood – Paley theory in Fourier theory, and with Cyril Offord in combinatorial work on random sums, in developments that opened up fields still intensively studied.

* Cha-Ka – Philip Paley

The Littlewood – Paley conjecture easily implies the Bieberbach conjecture using the Cauchy inequality, but it was soon disproved by, who showed there is an odd schlicht function with b < sub > 5 </ sub >

* Paley – Zygmund inequality

William S. Paley ( September 28, 1901 – October 26, 1990 ) was the chief executive who built Columbia Broadcasting System ( CBS ) from a small radio network into one of the foremost radio and television network operations in the United States.

Paley met Dorothy Hart Hearst ( 1908 – 1998 ) while she was married to John Randolph Hearst, the third son of William Randolph Hearst.

Paley married divorcée, socialite and fashion icon Barbara " Babe " Cushing Mortimer ( 1915 – 1978 ) on July 28, 1947.

* St Anne's Church, Oxford Road – built in 1873 by Paley & Austin.

* St Thomas ' Church, St Thomas Road – built in 1899 by Austin & Paley.

The Hilbert transform is closely related to the Paley – Wiener theorem, another result relating holomorphic functions in the upper half-plane and Fourier transforms of functions on the real line.

In mathematics, a Paley – Wiener theorem is any theorem that relates decay properties of a function or distribution at infinity with analyticity of its Fourier transform.

The theorem is named for Raymond Paley ( 1907 – 1933 ) and Norbert Wiener ( 1894 – 1964 ).

The classical Paley – Wiener theorems make use of the holomorphic Fourier transform on classes of square-integrable functions supported on the real line.

The Paley – Wiener theorem now asserts the following: The holomorphic Fourier transform of F, defined by

# REDIRECT Paley – Wiener theorem

# REDIRECT Paley – Wiener theorem

When, on a mid-ocean voyage, Paley heard a phonograph record of a young unknown crooner, he rushed to the ship's radio room and " cabled " New York to sign Bing Crosby immediately to a contract for a daily radio show.

William Paley famously argued, in his 1802 watchmaker analogy, that complexity in nature implies a God for the same reason that the existence of a watch implies the existence of a watchmaker.

He also argued that if the “ average happiness enjoyed remains undiminished, Utilitarianism directs us to make the number enjoying it as great as possible .” This was also the view taken earlier by William Paley.

To a study of the writings of Shaftesbury and Hutcheson we might, probably, in large measure, attribute the unequivocal adoption of the utilitarian standard by Hume, and, if this be the case, the name of Hutcheson connects itself, through Hume, with the names of Priestley, Paley and Bentham.

After CBS granted another such request — regarding a See It Now show on whether or not Alaska and Hawaii deserved statehood — Murrow complained to CBS head William S. Paley he could not continue doing the program if CBS continued to accede to such equal-time requests under those circumstances.

In 1802 William Paley formulated the first known teleological argument depicting machines producing other machines, suggesting that the question of who originally made a watch was rendered moot if it were demonstrated that the watch was able to manufacture a copy of itself.

Notably, Behe credits philosopher William Paley for the original concept, not von Bertalanffy, and suggests that his application of the concept to biological systems is entirely original.

As previously indicated, this argument is merely a restatement of the Reverend William Paley ’ s argument applied at the cell level.

( A copy of the " series bible ", as revised for TAS, is held in the science fiction research collection at the Samuel Paley Library, Temple University, Philadelphia.

" " This argument for the existence of God was advanced early in the 19th century by Reverend Paley " " The only apparent difference between the argument made by Paley and the argument for ID, as expressed by defense expert witnesses Behe and Minnich, is that ID's ' official position ' does not acknowledge that the designer is God.

It has been claimed that Paley was not a very original thinker and that the philosophical part of his treatise on ethics is “ an assemblage of ideas developed by others and is presented to be learned by students rather than debated by colleagues .” Nevertheless, his book The Principles of Moral and Political Philosophy ( 1785 ) was a required text at Cambridge and Smith says that Paley ’ s writings were “ once as well known in American colleges as were the readers and spellers of William McGuffey and Noah Webster in the elementary schools .” Although now largely missing from the philosophical canon, Schneewind writes that " utilitarianism first became widely known in England through the work of William Paley.

Apart from restating that happiness as an end is grounded in the nature of God, Paley also discusses the place of rules.

It is possible that Bentham was spurred on to publish after he saw the success of Paley ’ s The Principles of Moral and Political Philosophy.

Paley is also remembered for his contributions to the philosophy of religion, utilitarian ethics and Christian apologetics.

Since Paley is often read in university courses that address the philosophy of religion, the timing of his design argument has sometimes perplexed modern philosophers.

Today, as in his own time ( though for different reasons ), Paley is a controversial figure, a lightning rod for both sides in the contemporary " war between science and religion ".

* Meadley, G. W. Memoirs of William Paley, to which is Added an Appendix, London, 1809.

There are only two ( 4, 4, 16 ) graphs ( that is, 2-colourings of a complete graph on 16 nodes without 4-node red or blue complete subgraphs ) among 6. 4 × 10 < sup > 22 </ sup > unique 2-colourings of 16-node graphs, and only one ( 4, 4, 17 ) graph ( the Paley graph of order 17 ) among 2. 46 × 10 < sup > 26 </ sup > colourings.

Gillian Wearing is represented by Maureen Paley in London and Tanya Bonakdar Gallery in New York.

He is represented by Maureen Paley in London, Galerie Chantal Crousel in Paris, Juana de Aizpuru in Madrid, Daniel Buchholz in Berlin ( since 1993 ), and Andrea Rosen in New York ( since 1994 ).