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On and map
** On every infinite-dimensional topological vector space there is a discontinuous linear map.
On a map of c. 1634, Jean Vrolicq renamed the island Île de Richelieu.
On the international level, the interwar period was characterized by an attempt to put Luxembourg on the map.
On April 25, 1507, as a member of the Gymnasium Vosagense at Saint Diey ( German: Sankt Didel ) in the duchy of Lorraine ( today Saint-Dié-des-Vosges, France ), he produced a globular world map and a large 12-panel world wall map ( Universalis Cosmographia, both bearing the first use of the name " America ").
On their 1614 map, which gave them a four year trade monopoly under a patent of the States General, they named the newly discovered and mapped territory New Netherland for the first time.
On the Castello map, 1660, Whitehall stands out by its white roof and extensive garden
On October 11, 2006, John Romero released the original map files for all of the levels in Quake under the GPL.
On the star map the figure of the Rooster was shown below and behind the figure of the True Shepherd, both representing the herald of the gods, in his bird and human forms respectively.
On plate 8 of the Atlas is a map of ancient Italy.
On the other hand, many ' unrealistic ' video games do include fog of war, meaning that what is visible on the map is limited to what is within a certain range of the player's units.
On a map, a picture of a tent might represent a campsite.
On 15 June 2006 Iran banned the sale of The Economist when it published a map labelling the Persian Gulf simply as " Gulf "— a choice that derives its political significance from the Persian Gulf naming dispute.
The fact that a map is an embedding is often indicated by the use of a " hooked arrow ", thus: On the other hand, this notation is sometimes reserved for inclusion maps.
On 29 December 1724, Peter I of Russia asked Bering to command a voyage east, probably to map the lands ( and possibly seas ) between Russia's eastern boundary and the North America continent.
On the wall behind is a map of the Pacific.
On at least three occasions, he has nearly fallen off a cliff, and has fallen two of those times, to retrieve something important ( Half of the map in Pooh's Grand Adventure: The Search for Christopher Robin, his locket in The Tigger Movie, and a page of Piglet's scrapbook in Piglet's Big Movie ).
On a map, it looks like a long ribbon reaching from the middle of South America's west coast straight down to the southern tip of the continent, where it curves slightly eastward.
On the map he indicated the land we know as Brevard county as the ' Province of Ais ', as it was typical in those days to designate a region of specific tribal domination and generally took its name from the ruling cacique.
On their way to the beach, Richard gives a copy of the map to Sammy and Zeph, two American Harvard students he meets in Koh Samui.
On one occasion, he opined that Israel " must disappear from the map ".
* On a map drawn to scale, the distance between any two points on the map is directly proportional to the distance between the two locations that the points represent, with the constant of proportionality being the scale of the map.

On and Ptolemy
To approximate his tropical year Hipparchus created his own lunisolar calendar by modifying those of Meton and Callippus in On Intercalary Months and Days ( now lost ), as described by Ptolemy in the Almagest III. 1 ( Toomer 1984, p. 139 ).
On the pretext that garrisons have been placed in some of the free Greek cities by Antigonus, Ptolemy and Cassander renew hostilities against him.
On the death of Alexander in Babylon ( 323 BCE ), Ptolemy took great pains in acquiring his body and bringing it to Memphis.
On a cornice above the doorway of one of the adyta is a Greek inscription, recording the erection, or perhaps the restoration of the sekos by Ptolemy VI Philometor and his sister-wife Cleopatra II, 180-145 BC.
He was entrusted by Ptolemy with the task of arranging the comedies in the Library of Alexandria ; as the result of his labours he composed a treatise On Comedy.
On the divisions and boundaries of Europe, Asia and Africa, he repeats Eratosthenes ; like all classical geographers from Alexander the Great ( except Ptolemy ) he regards the Caspian Sea as an inlet of the Northern Ocean, corresponding to the Persian and Arabian ( Red Sea ) gulfs on the south.
On the second charge, that of repetundae ( extortion during the administration of his province ), with special reference to the 10, 000 talents paid by Ptolemy XII for his restoration, he was found guilty, in spite of evidence offered on his behalf by Pompey and witnesses from Alexandria and the eloquence of Cicero, who had been induced to plead his cause.
On the accession of Ptolemy Philadelphus, Demetrius was sent into exile to Upper Egypt, where he is said to have died of the bite of a snake.
On January 28 246 BC, Ptolemy II died, and was succeeded by Ptolemy III Euergetes.
On the other hand, there is a dedication on the Temple of Edfu from 57 BC that inscribes Cleopatra Tryphaena's name alongside Ptolemy XII's, which would have meant the king's wife rather than daughter and would be unlikely had Ptolemy XII's wife really died already twelve years earlier.
* Copernicus, Nicolaus On the Revolutions of the Heavenly Spheres, in Great Books of the Western World: 16 Ptolemy Copernicus Kepler Encyclopædia Britannica Inc 1952
* On the eighth of Tevet one year during the 200s BC, a time of Hellenistic rule of Judea during the Second Temple period, Ptolemy, King of Egypt, ordered the translation of the Hebrew Bible into Greek, a work which later became known as the Septuagint.
On request of the Axumite king and in preparation for this campaign he recorded now-vanished inscriptions such as the Monumentum Adulitanum ( which he mistakenly attributed to Ptolemy III Euergetes ).
On the rear of the temple exterior is a carving of Cleopatra VII Philopator and her son, Ptolemy XV Philopator Philometor Caesar, fathered by Julius Caesar.
On the opposite face of the same block are found oval cartouches including the names of Tiberius Claudius and Caesar Germanicus: and in another part of the temple is a cartouche of Ptolemy XII, the eldest son of Ptolemy Auletes ( 51-48 BC ).
On the largest island, Skandia, can be found seven different tribes, including the Geats ( Goutai ) and the Daukiones, but none of the seven tribes mentioned by Ptolemy occur in the writings of the two earlier geographers as inhabitants of the island.

On and are
On Fridays, the day when many Persians relax with poetry, talk, and a samovar, people do not, it is true, stream into Chehel Sotun -- a pavilion and garden built by Shah Abbas 2, in the seventeenth century -- but they do retire into hundreds of pavilions throughout the city and up the river valley, which are smaller, more humble copies of the former.
`` On each side of the Hoogli, where we are now sailing, are the Hindoo cottages, as thick together as the houses in our seaports.
On December 21, the day that the Irish House of Commons petitioned for removal of Sir Constantine Phipps, their Tory Lord Chancellor, Molesworth reportedly made this remark on the defense of Phipps by Convocation: `` They that have turned the world upside down, are come hither also ''.
On the other side are the Celtic survivalists who have taken a tack divergent from both these schools of nineteenth century thought.
On the question of admission to Veterans Administration hospitals of service-connected and non-service-connected disabled veterans, it must be recognized that there are many men who are greatly affected by war service.
On this point there was fairly general agreement that assessors would like to do more than they are doing now.
On the basis that all citizens of the state are entitled to benefit equally in the development of its resources, plans for the provision of essential services ( such as water ) will be based on need regardless of arbitrary political boundaries, within the framework of the state plan.
On the remainder of the clear channels, the dominant ( class 1 ) -- B stations are protected as described above, and the relatively small number of secondary ( class 2 ) ) stations permitted to operate on these channels at night are required to operate directionally and/or with reduced power so as to protect the class 1, stations.
On the columns around the immense dome are round plaques with Arabic writing.
On the contrary, there are fewer colds and smaller doctor bills.
Chapter 8, is entitled `` On Magnetism '' and in it are included such remarks as, `` One has always been tempted to compare the magnetic forces with the electrical forces.
On large-area units, where additional structural requirements are imposed, one recent approach utilizes modular extruded or formed channels ( e.g. right-angled corrugations ) of the acrylic or butyrate.
On the other hand, there are a few antithyroid drugs of this same general type, such as resorcinol, possessing no reducing activity and possibly acting through formation of a complex with molecular iodine.
On the whole they maintain much the same high standard, but they are much more difficult to discuss in detail because of their wider variety of subject matter.
On the one hand, there are ecumenists who are so stirred by the crises of the church in its encounter with the world at large that they have no eyes for what the church is doing in their own town.
On the wall of this square there are delightful bas-reliefs of musical instruments.
On the upper Mississippi the Illinois post was to be established near Kaskaskia, and dependent posts were to be built on the Missouri, `` where there are mines in abundance ''.
On the day's schedule are a flower show, 4-H horsemanship contest and clown shows, the latter at 11 a.m. and 3 p.m..
On my first Guy Fawkes Day here, I found Catholics as well as non-Catholics celebrating with the traditional fireworks and bonfires, and was told that most Englishmen either do not know or are not concerned with the historical significance of the day.
On the contrary, the old plays are continually being reinterpreted, and each new production of a classic has only a brief history at the Comedie.
On land, amphibians are restricted to moist habitats because of the need for their skin to be kept damp.

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