Later, his published letters were the basis of Waldseemüller's 1507 map, which is the first usage of America.

The resulting article in SURFER Magazine, " Quest for Fire " by journalist Sam George, put the Andaman Islands on the surfing map for the first time.

In 1769, he worked on the first geological map of France.

The first major application was the relative version of Serre's theorem showing that the cohomology of a coherent sheaf on a complete variety is finite dimensional ; Grothendieck's theorem shows that the higher direct images of coherent sheaves under a proper map are coherent ; this reduces to Serre's theorem over a one-point space.

However, sometimes in the first half of the 20th century hardcopy artillery fire plans and map traces were distributed.

In other words, if we hold the first entry of the bilinear map fixed, while letting the second entry vary, the result is a linear operator, and similarly if we hold the second entry fixed.

The game between the Chicago Cubs and St. Louis Cardinals in particular was cited for putting Ryne Sandberg ( as well as the 1984 Cubs in general, who would go on to make their first postseason appearance since 1945 ) " on the map.

The 1523 " Turin map " of the islands was the first to refer to them as Los Lagartos, meaning alligators or large lizards, By 1530 they were known as the Caymanes after the Carib word caimán for the marine crocodile, either the American or the Cuban crocodile, Crocodylus acutus or C. rhombifer, which also lived there.

They drew up the first map of the island and annexed it to France.

If A is a fixed element of a ring ℜ, the first additional relation can also be interpreted as a Leibniz rule for the map given by B ↦.

In 1507, Martin Waldseemüller produced a globular world map and a large 12-panel world wall map ( Universalis Cosmographia ) bearing the first use of the name " America ".

( where the first map is the gradient, the second is the curl, the third is the divergence ) serves as a nice quantification of the complicatedness of the underlying region U. These are the beginnings and main motivations of de Rham cohomology.

The first map which identifies and names " Los Chagos " ( in about the right position ) is that of Pierre Desceliers ( Dieppe 1550 ), although Diego Garcia is not named.

The first map to delineate the island under its present name, Diego Garcia, is the World Map of Edward Wright ( London 1599 ), possibly as a result of misreading Dio ( or simply " D .") as Diego, and Gratia as Garcia.

The evidence is found in two early maps, one made by the Portuguese cartographer Pedro Reinel in about 1522, the very first map to show the Falklands, the other a French copy of a Portuguese map bought in Lisbon by André Thévet ( 1516-1590 ), a Franciscan friar and prolific writer on many subjects ; this copy is now in the manuscript of a large unpublished work by Thevet in the Bibliothèque nationale de France in Paris.

The name of the islands is first recorded on the Hereford map ( 1280 ), where they are labelled farei.

The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only four different colors were needed.

Completed in 1815, it was the first national-scale geologic map, and by far the most accurate of its time.

Buckminster Fuller has been credited as the first to incorporate scientific ideas into a Gaia theory, which he did with his Dymaxion map of the Earth.

One of the first examples of geographic methods being used for purposes other than to describe and theorise the physical properties of the earth is John Snow's map of the 1854 Broad Street cholera outbreak.

Jan Mayen first appeared on Willem Jansz Blaeu's 1620 edition map of Europe, originally published by Cornelis Doedz in 1606.

Blaeu made a first detailed map of the island in his famous " Zeespiegel " atlas of 1623, establishing its current name.

French cartographer Guillaume Delisle used the descriptions to make the first reasonably accurate map of the area.

Bishop Christian asked the new Pope Honorius III for the consent to start another Crusade, however a first campaign in 1217 proved a failure and even the joint efforts by Duke Konrad with the Polish High Duke Leszek I the White and Duke Henry I the Bearded of Silesia in 122 / 23 only led to the reconquest of Chełmno Land but did not stop the Prussian invasions.

He thereby was the first of the Silesian Piast descendants of Władysław II the Exile to gain the rule over Silesia and the Seniorate Province according to the 1138 Testament of Bolesław III Krzywousty.

During the reign of Casimir I the Restorer, Kraków for the first time became the capital of Poland ( around 1040 ), since Greater Poland and Silesia, with main Polish urban centers, such as Gniezno and Poznań were ravaged by Duke Bretislaus I of Bohemia.

Equally proficient in mathematics and geography as well as classical languages, he produced the first woodcut map of Silesia made on the basis of surveys and data collected from local inhabitants, which he published in 1561 under the title " Silesiae Typus " and dedicated to Nicolaus II.

The first map of Silesia by Martin Helwig constituted until the middle of the 18th century the main model and source of information for the cartographical presentation of this region of Europe on the maps of the most famous cartographers and publishers of those times.

Germanic tribes were first recorded within Silesia in the first century.

The first known states in Silesia were Greater Moravia and Bohemia.

Polish Silesia was among the first regions invaded during Germany's 1939 attack on Poland.

Under the patronage of Frederick William III of Prussia, he opened the world's first beet sugar factory in 1801, at Cunern in Silesia.

He left Carniola sometime between 1564 and 1566, traveling first to Austria, and later to Bohemia, Moravia, and Silesia.

The referendum and eventual division of Upper Silesia were accompanied by three Silesian Uprisings, the first of which ( in 1919 ) was centered on Rybnik.

Napoleon's first target was the spread-out force of some 17, 000 Russians ( part of the combined Prusso-Russian Army of Silesia ) under Field Marshal Blücher.

In 1801, with the support of King Friedrich Wilhelm III, he opened the first sugar beet refinery at Gut Kunern near Steinau Silesia, Prussia.

SBB ( first known as Silesian Blues Band, later as Szukaj, Burz, Buduj – Polish for " Search, Break up, Build ") is a Polish progressive rock band formed in 1971 in Siemianowice, Upper Silesia by multi-instrumentalist and vocalist Józef Skrzek.

It is said that it was first uttered by Maria Theresa upon her hearing of the loss of Silesia to Frederick the Great.

* Museum of Cieszyn Silesia in the former Larisch family palace ( Pałac Laryszów, Muzeum Śląska Cieszyńskiego, the first museum in Poland )

The first Silesian War ( 1740 – 41, War of the Austrian Succession ) ended Austrian sovereignty over Silesia and left the town in the hands of King Frederick II of Prussia, who laid the foundations of its modern fortifications.

Żagań, first mentioned in a 1202 deed, then belonged the Duchy of Lower Silesia at Wrocław under the rule of the Piast duke Henry I the Bearded.

In 1842 a railroad between Ohlau and Breslau, the first in Silesia, was opened.

The castellany of Bolezlauez in Lower Silesia was first mentioned in a 1201 deed.

During the first decades of the 20th century, pot shops throughout Silesia and neighboring Lusatia began to decorate their wares with imaginative organic motifs derived from the contemporary Jugendstil aesthetic and applied by brush or, more often, with the aid of cut sponges.

The settlement of Berouna was first mentioned in a 1376 deed, when Silesia belonged to the Bohemian Crown.

In 1847 the first part of the railway running through Chrzanów County was built: from Cracow to Silesia with railway stations in Krzeszowice, Trzebinia and Szczakowa.