Then, we can construct its successor, which is strictly greater than.

Then there does not exist a strictly increasing sequence of open sets ( equivalently

Then it strictly obeys Kirchhoff's law of equality of radiative emissivity and absorptivity, with a black body source function.

Let be the maximum of on the circle Then, is a convex function of the logarithm Moreover, if is not of the form for some constants and, then is strictly convex as a function of

# A " Min-max " Collatz – Wielandt formula takes a form similar to the one above: for all strictly positive vectors x, let g ( x ) be the maximum value of < sub > i </ sub > / x < sub > i </ sub > taken over i. Then g is a real valued function whose minimum is the Perron – Frobenius eigenvalue.

Then since the logarithm function is strictly concave

Then ( in the von Neumann formulation of cardinality ) C is a set and therefore has a power set 2 < sup > C </ sup > which, by Cantor's theorem, has cardinality strictly larger than that of C. Demonstrating a cardinality ( namely that of 2 < sup > C </ sup >) larger than C, which was assumed to be the greatest cardinal number, falsifies the definition of C. This contradiction establishes that such a cardinal cannot exist.

: Proof: Let S be a set, and let T be the union of the elements of S. Then every element of S is a subset of T, and hence is of cardinality less than or equal to the cardinality of T. Cantor's theorem then implies that every element of S is of cardinality strictly less than the cardinality of 2 < sup > lTl </ sup >.

Then from 1931 editor of the Garda Review, the official journal of Ireland's National Police Service, the Garda Síochána's ( in English the Guardians of the Peace ), which he edited for 41 years in accordance with General Eoin O ' Duffy's instructions to edit it strictly in the interest of the service members.

“ And that Christ being Lord, and God the Son of God, and appearing formerly in power as Man, and Angel, and in the glory of fire as at the bush, so also was manifested at the judgment executed on Sodom, has been demonstrated fully by what has been said .” Then I repeated once more all that I had previously quoted from Exodus, about the vision in the bush, and the naming of Joshua ( Jesus ), and continued: “ And do not suppose, sirs, that I am speaking superfluously when I repeat these words frequently: but it is because I know that some wish to anticipate these remarks, and to say that the power sent from the Father of all which appeared to Moses, or to Abraham, or to Jacob, is called an Angel because He came to men ( for by Him the commands of the Father have been proclaimed to men ); is called Glory, because He appears in a vision sometimes that cannot be borne ; is called a Man, and a human being, because He appears arrayed in such forms as the Father pleases ; and they call Him the Word, because He carries tidings from the Father to men: but maintain that this power is indivisible and inseparable from the Father, just as they say that the light of the sun on earth is indivisible and inseparable from the sun in the heavens ; as when it sinks, the light sinks along with it ; so the Father, when He chooses, say they, causes His power to spring forth, and when He chooses, He makes it return to Himself.

Then however in discussion with the novelist Marguerite Duras a fusion of fiction and documentary was developed which acknowedged the impossibility of speaking about Hiroshima ; one could only speak about the impossibility of speaking about Hiroshima.

Then Aziz looks down the hill and sees Adela speaking to another young Englishwoman, Miss Derek, who has arrived with Fielding in a car.

Then she hears a soft voice speaking to her in greeting ; it is a lone passerby, Abraham Lincoln.

Then in 1996, Time Warner bought out Turner, giving WB ownership of the Popeye series, although technically speaking these two franchises are owned by the various units of WB ( Turner and DC, respectively ).

Then an English teacher, the Assumptionist Edgar Bourque, gave him personal attention, improving Gravel's language skills and instructing him in public speaking.

Then, roughly speaking, a Cartan connection on M is a G-connection which is generic with respect to a reduction to H.

* Acts 6: 11 " Then they suborned men, saying that, we have heard him speaking blasphemous words ( rhemata ) against Moses and God.

Then there was a decision to make the Swedish part of area Swedish speaking by teaching the school children only written Swedish and allowing only Swedish to be spoken during lessons, sometimes also during breaks.

Then, after passing through the place and speaking no word of counsel, he sent the herald away.

Then, speaking and singing, he narrates the episode in more detail.

Then I heard a voice Balik, somewhat quivering in transmission, telling me that it was the laser light speaking to me.

Then the scene changes with Bayes bragging about Amaryllis speaking very well about the situation.

Then what is to be said of any educational system which cannot lift — or, more modestly speaking, transfer — to our own world the negro, the Indian, the Oriental, while utterly unfitting him for his own?

Then Minister of Heritage, Sheila Copps, speaking at the ceremony, said: " our country does not belong to just two founding peoples.

Then speaking through this idol, she revealed her true intent, and through her diligence, she converts the natives to Christianity.

Then, with the hymn writer of old, you can say:

Then there is Samuel Beckett, born in 1906, a writer with roots in the expressionist tradition of modernism, who produced works from the 1930s until the 1980s, including Molloy ( 1951 ), En attendant Godot ( 1953 ), Happy Days ( 1961 ), Rockaby ( 1981 ).

Then other geeks can read the geek code and work back from that to discover what the writer looks like, what interests they have, and so forth.

Then Dave and Geoff were in The 99ers along with scientist and writer Brian J. Ford.

Then though Gettier's cases stipulate that Smith has a certain belief and that his belief is true, it seems that in order to propose ( 1 ), one must argue that Gettier, ( or, that is, the writer responsible for the particular form of words on this present occasion known as case ( 1 ), and who makes assertion's about Smith's " putative " beliefs ), goes wrong because he has the wrong notion of justification.

Then came La Mer ( 1861 ), a return to the natural history class, which, considering the powers of the writer and the attraction of the subject, is perhaps a little disappointing.

" Then, shortly thereafter, in 1949 Lowell married the writer Elizabeth Hardwick with whom he had a daughter, Harriet, in 1957.

The earliest known use was by French-American writer John Hector St. John de Crevecoeur in rural New York in 1778: " Then a severe frost succeeds which prepares it to receive the voluminous coat of snow which is soon to follow ; though it is often preceded by a short interval of smoke and mildness, called the Indian Summer.

Then it is seen that the author has been so keen on preventing the reader from guessing the solution that she has rather overstepped the bounds of what should be permitted to a writer of detective stories.

Then, on the first floor of the paper's offices in the rue du Faubourg-Montmartre in Paris, a 26-year-old cycling and rugby writer called Géo Lefèvre suggested a race round France, bigger than any other paper could rival and akin to six-day races on the track.

Orgasmaphobia-( Then Jerico-producer, writer, guitars-album )

Then, famous writer Jin Yong ( Louis Cha ) invited him to write a regular column for Ming Pao about his experiences living abroad.

In another section, describing the work of a fictional woman writer, Mary Carmichael, Woolf deliberately invokes lesbianism: " Then may I tell you that the very next words I read were these – ' Chloe liked Olivia ...' Do not start.

Then I may tell you ..." Woolf scholar and feminist critic Jane Marcus believes Woolf was giving Radclyffe Hall and other writers a demonstration of how to discuss lesbianism discreetly enough to avoid obscenity trials ; " Woolf was offering her besieged fellow writer a lesson in how to give a lesbian talk and write a lesbian work and get away with it.

In 2008, Morton co-authored a book ( with Denver Post writer Adrian Dater ) entitled " Then Morton Said to Elway ..."-The Best Denver Broncos Stories Ever Told.

Then, it explains the Czech word Litost, which the writer states that he hasn't found any substitute for the word in any other languages yet.

Then Byron and Gary got a personal call from Harry Connick, Jr., the writer of the song, thanking them for the recording, during which he added a few of his New Orleans Jazz style " very cool man!

The boys were de facto orphans adrift in American society ; as such, they embodied facets of Jack Kerouac's Beat Generation, a little bit of Marlon Brando's wild side from The Wild One, James Dean's inability to settle down and fit in from Rebel Without a Cause, and the wanderlust of the above-mentioned Jim Bronson, the traveling writer and loner who toured the USA on a motorcycle in the 1969-1970 series Then Came Bronson.

Then, as a writer of serial novels, he published works which had a great success in Jean Jaurès ' daily La Petite République, and he became appointed serial writer for Le Matin from 1906 to his death.

Then when writer Phil Jimenez wrote the title in the early 2000s he had several dinosaurs from the land of Skartaris also take refuge on Themyscira, in addition to the reappearance of Kangas on the island.