By the 1520s, Henry still did not have a son to name as heir and he took this as a sure sign of God ’ s anger and made overtures to the Vatican about an annulment.

By the 1520s, the Archbishopric of Ohrid had managed to put practically the entire Serbian Church under its jurisdiction, however by intervention of Mehmed-paša Sokolović in 1557, the latter was renewed and reorganized.

( ibid p31 ) By the 1520s there were so many donations coming in that it was said, “ there were no wills done that would not leave something towards the construction of that church ” ( Pirri, p39 )

By 1918 the edges of ordinary circular irises were becoming very fuzzy when they were used in American films.

By Euler's formula the number of faces (' F '), vertices ( V ), and edges ( E ) of any convex polyhedron are related by the formula " F + V-E "

By default, it appears on the bottom edge of the screen, but it can also instead be placed on the left or right edges of the screen if the user wishes.

By the end of 1942 the Allied navies had overcome most of the technological edges Japan's ships and planes had held at the start of the war.

By applying pressure against the snow with the inside edges of the skis speed is reduced, making turning in such a configuration and stopping completely possible.

By using a data structure such as a doubly linked list to maintain the set of unused edges incident to each vertex, to maintain the list of vertices on the current tour that have unused edges, and to maintain the tour itself, the individual operations of the algorithm ( finding unused edges exiting each vertex, finding a new starting vertex for a tour, and connecting two tours that share a vertex ) may be performed in constant time each, so the overall algorithm takes linear time.

By formulating MAX-2-SAT as a problem of finding a cut ( that is, a partition of the vertices into two subsets ) maximizing the number of edges that have one endpoint in the first subset and one endpoint in the second, in a graph related to the implication graph, and applying semidefinite programming methods to this cut problem, it is possible to find in polynomial time an approximate solution that satisfies at least 0. 940 ... times the optimal number of clauses.

By similar reasoning, the complete bipartite graph has no 2-basis: is four-dimensional, and each nontrivial vector in has nonzero coordinates for at least four edges, so any augmented basis would have at least 20 nonzeros, exceeding the 18 nonzeros that would be allowed if each of the nine edges were nonzero in at most two basis vectors.

By taking advantage of the frame-to-eye effects of a framerate higher than 60 frame / s, the GPU is able to better smooth aliased edges by rotating the anti-aliasing sampling pattern between frames.

By using both edges of the clock, the data signals operate with the same limiting frequency, thereby doubling the data transmission rate.

By the end of the 20th century, France once again was among the leading economic powers of the world, although by the year 2000 there already was some fraying around the edges: people in France and elsewhere were asking whether France alone, without becoming even more an integral part of a pan-European economy, would have sufficient market presence to maintain its position, and that worker security and those privileges, in an increasingly " Globalized " and " transnational " economic world.

By subdividing the cycle edges into two matchings, we can partition the Heawood graph into three perfect matchings ( that is, 3-color its edges ) in eight different ways.

By a result analogous to Fáry's theorem, any toroidal graph may be drawn with straight edges in a rectangle with periodic boundary conditions.

By the end of the 20th century, France once again was among the leading economic powers of the world, although by the year 2000 there already was some fraying around the edges: people in France and elsewhere were asking whether France alone, without becoming even more an integral part of a pan-European economy, would have sufficient market presence to maintain its position, and that worker security and those privileges, in an increasingly " Globalized " and " transnational " economic world.

By the episode " In Security ," the published book appears with the title " The Attraction Equation " and a dapper photo on the back cover of him holding a sculpture of a stellated icosidodecahedron with bevelled edges.

By 1055, the Seljuk Empire captured Baghdad and in the course of the early 11th century the Turks made their first incursions into the edges of Anatolia.

" It is clear from this that Smythe's " eyelet holed doublet " was not intended to be worn with mail but as a standalone armour, but this quote from the book titled " The Armourer and His Craft " By Charles John Ffoulkes brings into doubt whether the eyelet doublet was related to ring armour at all.

By ( 1 ), the image of this pencil is a ruled surface of order Af which is met by the plane of the pencil in a curve, C, of order Af.

Milne had met Howard when the actor starred in Milne ’ s play Mr Pim Passes By in London.

By 502 Clovis and Alaric met on an island in the Loire near Amboise for face-to-face talks, which led to a peace treaty.

By the end of 1898, Western pilgrims started coming to Akka on pilgrimage to visit ` Abdu ' l-Bahá ; this group of pilgrims, including Phoebe Hearst, was the first time that Bahá ' ís raised up in the West had met ` Abdu ' l-Bahá.

By comparison Whorf's other work in linguistics, the development of such concepts as the allophone and the cryptotype, and the formulation of " Whorf's law " in Uto-Aztecan historical linguistics, have met with broad acceptance.

By age twenty, she had met and befriended the important, and pivotal, landscape painter of the Barbizon School, Camille Corot, who excelled in figure painting as well.

By boosting farm productivity, biotechnology plays a crucial role in ensuring that biofuel production targets are met.

By the early 1910s, Jefferson began traveling frequently to Dallas, where he met and played with fellow blues musician Lead Belly.

By his own account, the next morning he met a kind woman, Mariah Watkins, from whom he wished to rent a room.

By the mid-1780s, Rapp had begun preaching to the Separatists, his followers in Iptengen, who met privately and refused to attend church services or take communion.

By 1842 Carson met and became engaged to the daughter of a prominent Taos family: Josefa Jaramillo.

By 1916, Flaherty had enough footage that he began test screenings and was met with wide enthusiasm.

By the time he met George Beauchamp and began manufacturing metal bodies for the " Nationals " being produced by the National String Instruments Corporation, Rickenbacker was a highly-skilled production engineer and machinist.

By 1871 he had met and befriended most of the major Pre-Raphaelite painters and it was in part due to their influence that the artist brightened his palette, varied his hues, and lightened his brushwork.

By the end of the decade, similar material met with little, if any opposition when it was released in Berlin theatres.

By the time the Second Continental Congress met on May 10, 1775 in Philadelphia, the Battles of Lexington and Concord had already begun in April, and while delegates were still making their way to Philadelphia, which marked the beginning of the American Revolutionary War.

By contrast, Kip willingly joined the British military, but he was met with reservations from his white colleagues.

By coincidence, Australian troops from I Anzac Corps met attacking troops from the German 45th Reserve Division in no man's land when Operation Hohensturm commenced simultaneously.

By requiring the Leaper to stop its movement immediately after capturing the first piece, that objective is met.

By the end of the year, Psyche had also returned to Norway where they met Spektralized and joined the Accession Records labelmates with Diary of Dreams and Lights of Euphoria for an eleven-date tour through Germany with a stop in the Netherlands.

By 1672, however, this design seemed too modest, and Wren met his critics by producing a design of spectacular grandeur.

By the end of the Johnson Administration, 226 out of 252 major legislative requests ( over a four-year period ) had been met, federal Aid to the poor had risen from $ 9. 9 billion in 1960 to $ 30 billion by 1968, one million Americans had been retrained under previously non-existent federal programs, and two million children had benefited from the Head Start program.

By all accounts this was met with notable success, particularly as there was a large colony of Armenians on the island at that time, and this encouraged Heraclius to attempt to seek a wider approval of his compromise.

By this time, Mobutu had met many of the young Congolese intellectuals who were challenging colonial rule.

By 1923, Emmett Kelly was working his trapeze act with John Robinson's circus when he met and married Eva Moore, another circus trapeze artist.