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 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.

No one was behind it, but in the rear wall of the office I noticed, for the first time, a door which had been left partially open.

The herd was watered and then thrown onto a broad grass flat which was to be the first night's bedground.

Stevens was grunting over the last empty pocket when Russ abruptly rose and lunged toward Carmer's hat, which had tumbled half-a-dozen feet away when he first fell.

In his recognition of his impersonal self the dancer moves, and this self, in the `` first revealed stroke of its existence '', states the theme from which all else must follow.

Life is further characterized, in antithesis to Piepsam, as animal: the image of a dog, which appears at several places, is first given as the criterion of amiable, irrelevant interest aroused by life considered simply as a spectacle: a dog in a wagon is `` admirable '', `` a pleasure to contemplate '' ; ;

It resembles, too, pictures such as Durer and Bruegel did, in which all that looks at first to be solely pictorial proves on inspection to be also literary, the representation of a proverb, for example, or a deadly sin.

This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.

Being somewhat delicate in health, at the age of sixteen he was sent to Southern Europe, for which he at once developed a passion, so that he spent nearly all of the following ten years abroad, at first in Italy, then in Greece, Egypt, Asia Minor, and Palestine.

The first of which to find important place in our federal government was the graduated income tax under Wilson.

and it is surely clear that the first of these is the result of the way in which the individual's command of language interacts with the other two.

and, `` I do think that families are the most beautiful things in all the world '', burst out Jo some five hundred pages later in that popular story of the March family, which had first appeared when Henrietta was eight ; ;

Steele first answers briefly the charges which his `` dear old Friend '' has made about his pamphlet on Dunkirk and his Crisis.

He seemed timid ( at first, ) wore nose glasses from which a black ribbon dangled, and was no bigger than a jockey.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

When they were first written, there was evidently no thought of their being published, and those which refer to the writer's love for Mrs. Meynell particularly have the ring of truth.

Pike was stunned by the first blast against his character, which was published in the March 4th issue of The Gazette under the name `` Vale ''.

Master Gorton, having foully abused high and low at Aquidneck is now bewitching and bemaddening poor Providence, both with his unclean and foul censures of all the ministers of this country ( for which myself have in Christ's name withstood him ), and also denying all visible and external ordinances in depth of Familism: almost all suck in his poison, as at first they did at Aquidneck.

That fall he submitted to Professor Baker the first acts and outlines of the following acts of several plays, six of them, according to some of his associates, and he also worked on a play that he first called Niggertown, the material for which he had collected during the summer at home.

There is, of course, the doctrine of original sin, which asserts that each of us as individuals partakes of the guilt of our first ancestor.

Although this kind of wholesale objection came at first from some men who were not technically Puritans, still, once the Puritans gained power, they climaxed the affair by passing the infamous ordinance of 1642 which decreed that all `` public stage-plays shall cease and be forborne ''.

In later years Josephus Daniels was to claim that World War 1, was the first in American history in which there was great concern for both the health and morals of our soldiers.

It was the first American war in which the death rate from disease was lower than that from battle, due to the provision of trained medical personnel ( of the 200,000 officers, 42,000 were physicians ), compulsory vaccination, rigorous camp sanitation, and adequate hospital facilities.

Both Alfred Harcourt and Donald Brace had written him enthusiastic praise of Elmer Gantry ( any changes could be made in proof, which was already coming from the printer ) and they had ordered 140,000 copies -- the largest first printing of any book in history.

And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.