E. W. Gilbert's version ( 1958 ) of John Snow ( physician ) | John Snow's 1855 map of the Soho cholera outbreak showing the clusters of cholera cases in the London epidemic of 1854 While the basic elements of topography and theme existed previously in cartography, the John Snow map was unique, using cartographic methods not only to depict but also to analyze clusters of geographically dependent phenomena.

Like the " dimension of image " characterization this can be generalized to a definition of the rank of a linear map: the rank of a linear map f from V → W is the minimal dimension k of an intermediate space X such that f can be written as the composition of a map V → X and a map X → W. While this definition does not suggest an efficient manner to compute the rank ( for which it is better to use one of the alternative definitions ), it does allow to easily understand many of the properties of the rank, for instance that the rank of the transpose of A is the same as that of A.

While the standard Tube map mostly avoided representing mainline rail services, a new variant of the map issued in 1973, the ' London's Railways ' map, was the first to depict Tube and surface rail services in a diagrammatic style closely matched to Beck's designs.

While traveling between levels, Keen is viewed from above on a map, the only place where the player can save the game.

While roads and features appear as abstract representations without resemblance to reality, their locations, orientations, and distances are as accurate as possible to make the map practical.

While different synthesis tools have different capabilities, there exists a common synthesizable subset of VHDL that defines what language constructs and idioms map into common hardware for many synthesis tools.

While attending the University of Wisconsin – Stout and living in an apartment in Menomonie, WI, Helder planned to plant pipe bombs in mailboxes across the United States to create a smiley face shape on the United States map.

While working upon the " Homeric catalogue ", as he called it, of the reinforcements coming to Minas Tirith, Tolkien devised the names Lossarnach, Anfalas, Lamedon and Pinnath Gelin, all of which appear on a new version of the map in final locations with the exception of Lamedon, first placed in northern Lebennin and later moved westward.

While most character encodings map characters to numbers and / or bit sequences, Morse code instead represents characters using a series of electrical impulses of varying length.

While representing input data as vectors has been emphasized in this article, it should be noted that any kind of object which can be represented digitally, which has an appropriate distance measure associated with it, and in which the necessary operations for training are possible can be used to construct a self-organizing map.

While of historical interest, these field notes inherently include errors and contradictions that later stages in map production resolve.

" While rummaging through the Walshes ' attic, they find an old newspaper clipping, a Spanish map, and an artifact relating to a rumor of a lost but not forgotten pirate treasure somewhere in the area.

While the absence of plentiful primary sources makes it hard for us to map out Isaac ’ s life, piecing together the sources we do have along with the works he wrote give us a good picture of just how popular this Franco-Flemish composer was in his time.

While unrolling the map, a dagger was revealed.

While a map or GPS would make it easy, drivers or cyclists without those tools would likely get lost.

( While the resource map and other implementation details are big endian, the Resource Manager by itself doesn't have any knowledge of the contents of a generic resource, and so cannot perform the byte swapping automatically.

While Robert Louis Stevenson is associated with popularizing the treasure map — and the archetypal X to mark the spot — with pirates in Treasure Island, he is not the first.

While looking through the Polaroids he took, Kevin finds one that includes the map, and the group realises there are numerous holes in the Fortress they can use to recruit help to fight Evil.

While five minutes ago the place had presented a scene of easy revelry, with Gyp Carmer a prominent figure, it was now as somnolent and dull as the day before payday.

While his comrades cocked the trap, that one behaved as if it was some dull maneuver.

While she was struggling to get her skirt down and get on her feet again, Jack ran over, offered her his hand and said, `` Gosh, I'm sorry, Miss Langford.

While he was handling the multi-million-dollar funding operations of the Government he had to resort to borrowing small sums from friends.

While convalescing in his Virginia home he wrote a book recording his prison experiences and escape, entitled: They Shall Not Have Me Published originally in ( Helion's ) English by Dutton & Co. of New York, in 1943, the book was received by the press as a work of astonishing literary power and one of the most realistic accounts of World War 2, from the French side.

While this was under consideration, dauntless as ever Wright set about the building of Taliesin 3.

While the picture was taken, Mr. Miller's disposition to be generous to Mr. Sandburg increased to the point where he advised, ' I won't even charge you the one dollar rental fee ' ''.

While I was sitting at one of the rewrite telephones with my derby and my great beard, Arthur Brisbane whizzed in with some editorial copy in his hand.

While the final combat of the campaign was being worked out at Jonesborough, Thomas, on Sherman's instructions, ordered Slocum, now commanding the Twentieth Corps, to make an effort to occupy Atlanta if he could do so without exposing his bridgehead to a counterattack.

While driving the cow back home the woman was assaulted by a servant maid of Gorton.

While he was at it, the philosopher of the Kremlin contributed an additional assist to the rule of reason by bellowing at those in the west who can't appreciate coexistence thru suicide.

While this was being discussed, we saw the militia to the west of us fanning out and breaking into little clusters of two and three men as they approached the road.

While she was thus engaged, McFeeley questioned her about her whereabouts the previous day, any recollections she had of people hanging around, of overcurious delivery boys or repairmen, of strange cars cruising the neighborhood.

While she was settling the teacart, he went back across the hall to their bedroom, opened one of the suitcases, and took out powdered coffee and sugar.

While the regulations formerly required that the hearing officer's report be placed in the registrant's file, this requirement was eliminated in 1952.

While there are now allegations of the withholding of `` favorable evidence developed at the hearing '' and a denial of a `` full and fair hearing '', no such claim was made by petitioner at any stage of the administrative process.

While Mr. Blatz was putting up the pegboards and starting the workbench, Mr. Crombie told him of this idea about paneling the whole end of the cellar.

`` While Henry Morgan was escorting Miss Vera Green from the church social last Saturday night, a savage dog attacked them and bit Mr. Morgan on the public square ''.

While the interpretations that have been given are inferences only, they gain support from such comments as the following, which was made by one of the Kohnstamm-negative subjects who did not, on the first trial, perceive the tilt illusion.

While the Cold War raged it was easy to blame it all on Yalta.

While the method of interviewing a small number of companies was appealing because of the opportunity it might have furnished to probe fully the reasons and circumstances of a company's practices and opinions, it also involved the risk of paying undue attention to the unique and peculiar problems of just a few individual companies.

While he was in custody his wife divorced him.

While accounts of the progress of the tsunami came in from various points in the Pacific ( Midway reported it was covered with nine feet of water ), the Hawaiian station made its calculations and notified the military services and the police that the first big wave would arrive at Honolulu at 23:30 Greenwich time.

While nowadays we recognize the fact that there are many causes for bleeding at the nose, not long ago a nosebleed was simply that, and treatment had little variation.

While women had always attended ball games in small numbers ( it was the part of a `` dead game sport '' in the early years of the twentieth century to be taken out to the ball park and to root, root, root for the home team ), they had often sat in patient martyrdom, unable even to read the scoreboard, which sometimes seemed to indicate that one team led another by a score of three hundred and eighty to one hundred and fifty-one.