Arrow plot and CA maps on microarray preprocessing methods

Microarray allow to monitoring simultaneously thousands of genes, where the abundance of the transcripts under a same experimental condition at the same time can be quantified. Among various available array technologies, double channel cDNA microarray experiments have arisen in numerous technical protocols associated to genomic studies, which is the focus of this work. Microarray experiments involve many steps and each one can affect the quality of raw data. Background correction and normalization are preprocessing techniques to clean and correct the raw data when undesirable fluctuations arise from technical factors. Several recent studies showed that there is no preprocessing strategy that outperforms others in all circumstances and thus it seems difficult to provide general recommendations. In this work, it is proposed to use exploratory techniques to visualize the effects of preprocessing methods on statistical analysis of cancer two-channel microarray data sets, where the cancer types (classes) are known. For selecting differential expressed genes the arrow plot was used and the graph of profiles resultant from the correspondence analysis for visualizing the results. It was used 6 background methods and 6 normalization methods, performing 36 pre-processing methods and it was analyzed in a published cDNA microarray database (Liver) available at http://genome-www5.stanford.edu/ which microarrays were already classified by cancer type. All statistical analyses were performed using the R statistical software.

Tying up the loose ends in simple correspondence analysis

Although correspondence analysis is now widely available in statistical software packages and applied in a variety of contexts, notably the social and environmental sciences, there are still some misconceptions about this method as well as unresolved issues which remain controversial to this day. In this paper we hope to settle these matters, namely (i) the way CA measures variance in a two-way table and how to compare variances between tables of different sizes, (ii) the influence, or rather lack of influence, of outliers in the usual CA maps, (iii) the scaling issue and the biplot interpretation of maps,(iv) whether or not to rotate a solution, and (v) statistical significance of results.

Agricultural maps in the National Archives of the United States, ca. 1860-1930 /

Mode of access: Internet.

Integración de Google Maps y TSP Solvers para la definición y resolución del TSP

Este trabajo final de carrera presenta la arquitectura e implementación de un entorno web para la descripción y visualización de instancias reales del TSP (Travelling Salesman Problem), a través de Google Maps, y su posterior resoluación mediante tècnicas de optimización combinatoria.

On the injectivity of C1 maps of the real plane

Let X : ℝ2 → ℝ2 be a C1 map. Denote by Spec(X) the set of (complex) eigenvalues of DXp when p varies in ℝ2. If there exists ε > 0 such that Spec(X) ∩ (-ε, ε) = ∅, then X is injective. Some applications of this result to the real Keller Jacobian conjecture are discussed.

Flow Visualization with Quantified Spatial and Temporal Errors Using Edge Maps

Robust analysis of vector fields has been established as an important tool for deriving insights from the complex systems these fields model. Traditional analysis and visualization techniques rely primarily on computing streamlines through numerical integration. The inherent numerical errors of such approaches are usually ignored, leading to inconsistencies that cause unreliable visualizations and can ultimately prevent in-depth analysis. We propose a new representation for vector fields on surfaces that replaces numerical integration through triangles with maps from the triangle boundaries to themselves. This representation, called edge maps, permits a concise description of flow behaviors and is equivalent to computing all possible streamlines at a user defined error threshold. Independent of this error streamlines computed using edge maps are guaranteed to be consistent up to floating point precision, enabling the stable extraction of features such as the topological skeleton. Furthermore, our representation explicitly stores spatial and temporal errors which we use to produce more informative visualizations. This work describes the construction of edge maps, the error quantification, and a refinement procedure to adhere to a user defined error bound. Finally, we introduce new visualizations using the additional information provided by edge maps to indicate the uncertainty involved in computing streamlines and topological structures.

Notebook on geography, navigation, mensuration, and other subjects, ca. 1723-1743

This heavily illustrated notebook contains entries on the following topics, among others: geography; mensuration; navigation and the history of navigation; "the use of Gunter's Scale in plain sailing;" compasses; quadrants and their use; "the refraction of the stars observed by the famous Tycho Brahe;" the latitude and longitude of coasts in America, Europe, and Africa; oceans and islands; mountains and "burning mountains" (volcanoes); rivers and lakes; forests and deserts; maps and sea charts; and the uses of geometry and other measurements by carpenters, joiners, painters, glaziers, masons, and bricklayers. Many pages contain navigational problems and their detailed solutions, as well as chronologies of global exploration and lists of all known rivers, mountains, and other geographic features across the world, many with vivid descriptions. The last pages of the notebook contain entries made in December of 1743 regarding celestial measurements Prince took in Stratford, Connecticut, where he was staying with his brother.

The petitioners for settling His Majesties lands and islands lying between Nova Scotia and the province of Main in New England in America : manuscript, [ca. 1720]

Written in an unidentified hand, signed by Barkstead.

Transvaal & Orange Free State Regions, South Africa, ca. 1899 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Bacon's large-print map of the Transvaal and Orange Free State. It was published by G.W. Bacon & Co. ca. 1899. Scale [ca. 1:1,900,000]. Covers also Swaziland, Lesotho, and portions of Botswana, Zimbabwe, and Mozambique.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Africa Sinusoidal projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial and administrative boundaries, roads, railroads, shoreline features, and more. Relief shown by shading and spot heights. Includes also insets: "Map showing the routes from England and India to South Africa", "Environs of Cape Town", "Lorenço Marquez [and vicinity]", 'South Africa" and "Durban and Port Natal".This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Worcester, Massachusetts, ca. 1860 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Map of the city of Worcester, Mass. : from actual surveys under the direction of P. Ball, C.E. It was published by Smith & Mc.Kinney, between 1850 and 1860. Scale [ca. 1:3,600]. The image inside the map neatline is georeferenced to the surface of the earth and fit to the Massachusetts State Plane Coordinate System, Mainland Zone (in Feet) (Fipszone 2001) coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, railroads and stations, drainage, public buildings, schools, industry locations (e.g. mills, factories, etc.), selected private buildings with names of property owners, town and ward boundaries, cemeteries, and more. Includes also engravings of important buildings and advertisements in margins. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Gulf of Mexico and Caribbean Sea Region, ca. 1715 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: A map of the West-Indies or the islands of America in the North Sea : with ye adjacent countries, explaning [sic] what belongs to Spain, England, France, Holland &c. also ye trade winds, and ye several tracts made by ye galeons and flota from place to place : according to ye newest and most exact observations, by Herman Moll, geographer. It was printed for Tho. Bowles in St. Pauls Church Yard and John Bowles at the Black Horse in Cornhill ca. 1715. Scale [ca. 1:4,300,000]. Covers the Gulf of Mexico and Caribbean Sea Region including parts of southern United States, Mexico, Central America, West Indies, and northern South America.The image inside the map neatline is georeferenced to the surface of the earth and fit to the North American Lambert Conformal Conic coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more. Relief shown pictorially. Includes also historical notes and insets.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Orleans, France, ca. 1680 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plan de la ville d'Orleans : comme il est aujourd'huy, où sont representées en elevation les églises, palais et autres edifices. It was published by Chez le Sr. Iselin, au bas du Pont au Change between 1680 and 1715. Scale [ca. 1:4,625]. Map in French.The image inside the map neatline is georeferenced to the surface of the earth and fit to the European Datum 1950, Universal Transverse Mercator (UTM) Zone 31N projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, ground cover, and more. Selected features shown pictorially. Includes also a brief history of the city.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Florence, Italy, ca. 1690 (Image 1 of 9) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Nova pvlcherrimaae civitatis Florentiaae topographia accuratissime delineata. It was published by Gio. Iacomo de Rossi ca. 1690. Scale ca. 1:24,000. This layer is image 1 of 9 total images of the nine sheet source map, representing the northeast portion of the map. Map in Latin.The image inside the map neatline is georeferenced to the surface of the earth and fit to the European Datum 1950, Universal Transverse Mercator (UTM) Zone 32N projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, ground cover, and more. Relief and selected features shown pictorially.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.