From the above properties an important feature arises: Looking at two triangles ABD and BCD with the common edge BD ( see figures ), if the sum of the angles α and γ is less than or equal to 180 °, the triangles meet the Delaunay condition.

From this doctrine arose the Epicurean epitaph: Non fui, fui, non sum, non curo ( I was not ; I was ; I am not ; I do not care ) – which is inscribed on the gravestones of his followers and seen on many ancient gravestones of the Roman Empire.

From this we learn that, although Pius's defenders still say that he paid a golden ransom in a vain effort to save Rome's Jews from transportation to the death camps, the most he did was indicate a willingness to chip in if the Jews could not raise the sum demanded.

From this it is clear x + y has 2 as a factor and therefore is even, so the sum of any two even integers is even.

From these tolls Gustavus derived, in 1629 alone, 500, 000 Riksdalers, a sum equivalent to the whole of the extraordinary subsidies granted to him by the Riksdag.

From this it is clear x + y has 2 as a factor and therefore is even, so the sum of any two even integers is even.

From these definitions we can say that ΔU is the energy added to the system, ΔF is the total work done on it, ΔG is the non-mechanical work done on it, and ΔH is the sum of non-mechanical work done on the system and the heat given to it.

From 1835 the freedom " without the intervention of a Livery Company " has been bestowed by a general resolution of Common Council, by ' redemption ' ( purchase ), at one time for an onerous sum, but now for a donation to the Freemen's School.

From dim sum, da been lo ( Hotpot ), fast food, to the most rare of delicacies, Hong Kong carries the reputable label of " Gourmet Paradise " and " World's Fair of Food ".

From the modern viewpoint, it is more correct to view the integral as the standard part of an infinite sum of such quantities.

From a more advanced point of view: every zero of a vector field has a ( non-zero ) " index ", and it can be shown that the sum of all of the indices at all of the zeros must be two.

From 1968, those making deposits require the consent of the Minister for Transport to do so, with the sum specified by the Minister.

To sum up in few words: By the unanimous judgment of all, it has been decided that the most holy festival of Easter should be everywhere celebrated on one and the same day, " From the Letter of Constantine Emperor Augustus to the Churches and all those not present at the Council ( found in Eusebius, Vita Const., Lib.

From this and the area formula for a sphere it follows that the sum of the angles of a spherical triangle is.

From this generalized sum rule a number of relationships can be derived depending on the choice of M. Two of note are ;

* From the classification of finitely generated abelian groups, we know that every finitely generated abelian group is the direct sum of copies of Z and Z < sub > k </ sub >.

) From this norm we are able to establish a lower bound on the sum of the ( differential ) Rényi entropies where For simplicity, we consider this inequality only in one dimension ; the extension to multiple dimensions is straightforward and can be found in the literature cited.

From this circumstance I was convinced of the power of the vision and the truth of thy words, and accordingly forthwith sent the same cross and its value to thy venerable sanctuary, with directions that out of that sum should be made a disc, and a cup for the purposes of the divine mysteries, as also a cross to be fixed upon the holy table, and a censer, all of gold: also a Hunnish veil adorned with gold.

From the proceeds of the sale of the menagerie and the bonus, he had accomplished his goal of providing a comfortable sum for his dear wife.

From 1 July 2009, the CPF minimum sum was increased from $ 106, 000 to $ 117, 000.

From then on, the player controls the Pope and can choose to excommunicate kingdoms and call for crusades, a successful crusade can result in a puppet state that is unquestionably loyal to the leader of the crusade or plunder the town for a huge sum of gold.

From a humble sum of around 5 lakhs in 1993, the budget exploded to around 24 lakhs in 1997.

From this initial petitioning grew a series of presentations and lawsuits culminating in the 27 March 1982 agreement among the British Government, the Mauritian Government, and the Islanders ( numbering 1, 419 adults and 160 minors ), which was intended to settle all islander claims for the sum of £ 4 millions in cash from the British Government and £ 1 million in land from the Mauritius Government.

From complex multiplication, the magnitude of the bispectrum is equal to the product of the magnitudes of each of the frequency components, and the phase of the bispectrum is the sum of the phases of each of the frequency components.

From the first days of the expansion of the British colonies from the coast of North America into the heartland of the continent, a recurring problem was that of transportation between the coastal ports and the interior.

From the interior to the outlet at the St. Lawrence River, water flows from Superior to Huron and Michigan, southward to Erie, and finally northward to Lake Ontario.

From there, he ravaged the interior and waited for Harold's return from the north, refusing to venture far from the sea, his line of communication with Normandy.

From closest to farthest from the vitreous body-that is, from closest to the front exterior of the head towards the interior and back of the head:

From 1930 to 1935, the interior designer Madeleine Castaing and her husband welcomed him home during the summer in their mansion of Lèves, becoming his patrons, so that Soutine could hold his first exhibition in Chicago in 1935.

From there, they continued on to Samboangan, but took a different route through the interior of the Philippines, this time touching at the island of Zebu ( Cebu ).

From the 5th millennium BC people stopped living in caves, and built settlements of huts up to the rivers leading to the interior ( Tolve, Tricarico, Alianello, Melfi, Metaponto ).

From the interior, the building's large size was emphasized with trees and statues ; this served, not only to add beauty to the spectacle, but also to demonstrate man's triumph over nature.

From the scattered fields and large farms of the interior, it was carted overland to Wetumpka.

From at least 10, 000 years ago to the present, Athabascan Indians have inhabited portions of the interior of Alaska.

From 1960 onwards, the attention of archaeologists shifted to the interior of hill forts and re-examining their function.

From the 9th century onwards the distinctive Islamic tradition of glazed and brightly coloured tiling for interior and exterior walls and domes developed.

From these outposts departed a variety of fur traders and Jesuit missionaries that enabled France to build strong relationships with indigenous tribes and retain control of the continental interior.

From Tuesday to Friday, the interior scenes are recorded on two RTÉ sound stages.

From 1989 until 1994, all interior shots were filmed at Ardmore Studios in Wicklow.

From 2000 to 2005, the reception areas of the residence were progressively refurbished with the assistance of interior designer Mary Durack.

From Akureyri, they trekked west down the Öxnadalur ( Ox Valley ) intending to rent pack horses and cross the high and barren interior by foot to Reykjavik.

From this point another expedition was sent to explore the interior and founded the town of Camalig.

From 1630 to 1654, the Dutch set up more permanently in commercial Recife and aristocratic Olinda, and with the capture of Paraiba in 1635, the Dutch controlled a long stretch of the coast most accessible to Europe ( Dutch Brazil ), without, however, penetrating the interior.

From 1630 to 1654, the Dutch set up more permanently in the Nordeste and controlled a long stretch of the coast most accessible to Europe, without, however, penetrating the interior.

From Güiria in the Paria Peninsula he sailed west to Caracas and the port of La Guaira and returned eastward by an inland route, in order to study the conditions in the interior of the country.

From southeast to northwest the diameter reportedly measures 22 feet 2 inches, but when measured from east to west, the diameter lengthens to 23 feet 3 inches, although curiously, 19th century measurements of the interior gave an east-west dimension of 18 feet 4 inches, which was slightly shorter than the north-south measurement of 18 feet 9 inches, suggesting that the discrepancies may be due to the unevenness of the rubble masonry.

From the Baroque restoration are the stucco decoration of the interior and the canvasses by Gregorio Preti, Salvator Rosa, Giovan Francesco Guerrieri, Giuseppe Puglia and Orazio Gentileschi.