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Target audience: Most of this material should be accessible to anyone who understands what a real-valued function is, and understands the notion of convergence of a sequence of real numbers. This should include most mathematics undergraduates by the end of their first year. An understanding of continuity and of boundedness for real-valued functions defined on various types of domain would help the student to understand the latter part of the material. Target audience: Most of this material should be accessible to anyone who understands what a real-valued function is, and understands the notion of convergence of a sequence of real numbers. This should include most mathematics undergraduates by the end of their first year. An understanding of continuity and of boundedness for real-valued functions defined on various types of domain would help the student to understand the latter part of the material. The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a uniform limit of continuous functions must be continuous; a uniform limit of bounded functions must be bounded; a uniform limit of unbounded functions must be unbounded. Target audience: Most of this material should be accessible to anyone who understands what a real-valued function is, and understands The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a uniform limit of continuous functions must be continuous; a uniform limit of bounded functions must be bounded; a uniform limit of unbounded functions must be unbounded. Target audience: Most of this material should be accessible to anyone who understands what a real-valued function is, and understands

Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA) Except for third party materials (materials owned by someone other than The University of Nottingham) and where otherwise indicated, the copyright in the content provided in this resource is owned by The University of Nottingham and licensed under a Creative Commons Attribution-NonCommercial-ShareAlike UK 2.0 Licence (BY-NC-SA)

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Image from ?[The Student?s Manual of Geology.]?, 001911245 Author: JUKES, Joseph Beete. Page: 331 Year: 1862 Place: Edinburgh Publisher: View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the ?itemViewer?. Click on the 'related items? to search for the electronic version of this work. Open the page in the British Library?s itemViewer (page: 000331) Download the PDF for this book

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Reference: DS.GP.1919/3319 This photograph documents the construction of the Helwan 74" Mirror made by Grubb Parsons in Newcastle upon Tyne in 1948. This photograph is taken from the Grubb Parsons Ltd collection at Tyne & Wear Archives. The records of Grubb Parsons Ltd, Newcastle upon Tyne, England, consist of 65 linear metres (213 linear feet) of files, plans, photographs and glass plate negatives relating to this internationally renowned firm's manufacture of precision telescopic instruments. The original Business was founded in the early nineteenth century by Thomas Grubb, in 1925 the company was acquired by Sir Charles Parsons and continued to manufacture Telescopic and Astronomical instruments until 1985. This Glass Lantern Slide is taken from a large collection that documents the work of Grubb Parsons Ltd at their workshop in Walkergate, Newcastle upon Tyne. It was here that Grubb Parsons Ltd manufactured Telescopic and Astronomical equipment for companies and observatories world wide. Their equipment was designed and built for use and research across the Globe, to name only a few of these locations Grubb Parsons Ltd supplied to the UK, Switzerland, Denmark, Egypt, South Africa, Greece, Australia, Japan, India, Hawaii, Poland, Chile, Canada, France and Spain. (Copyright) We're happy for you to share these digital images within the spirit of The Commons. Please cite 'Tyne & Wear Archives & Museums' when reusing. Certain restrictions on high quality reproductions and commercial use of the original physical version apply though; if you're unsure please email archives@twmuseums.org.uk

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(CC BY-NC-ND 4.0) https://creativecommons.org/licenses/by-nc-nd/4.0/ Copyright belongs to Paul Oliver Vernacular Architecture Library Copyright belongs to Paul Oliver Vernacular Architecture Library

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This free course, Art in Renaissance Venice, considers the art of Renaissance Venice and how such art was determined in many ways by the city's geographical location and ethnically diverse population. Studying Venice and its art offers a challenge to the conventional notion of Renaissance art as an entirely Italian phenomenon. First published on Fri, 15 Jan 2016 as Art in Renaissance Venice. To find out more visit The Open University's Openlearn website. Creative-Commons 2016 This free course, Art in Renaissance Venice, considers the art of Renaissance Venice and how such art was determined in many ways by the city's geographical location and ethnically diverse population. Studying Venice and its art offers a challenge to the conventional notion of Renaissance art as an entirely Italian phenomenon. First published on Fri, 15 Jan 2016 as Art in Renaissance Venice. To find out more visit The Open University's Openlearn website. Creative-Commons 2016

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University

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PowerPoint to support workshop at Institutional Research in Higher Education conference, Dublin June 2010.

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Collection: Cornell University Collection of Political Americana, Cornell University Library Repository: Susan H. Douglas Political Americana Collection, #2214 Rare & Manuscript Collections, Cornell University Library, Cornell University Title: Lincoln Portrait Photograph in Molded Thermoplastic "Vision of Ezechiel" Case Political Party: Republican Date Made: ca. 1861-1865 Measurement: Photograph: 3 x 2.125 in.; 7.62 x 5.3975 cm Classification: Photographs Persistent URI: hdl.handle.net/1813.001/5zg9 There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source.

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Collection: Cornell University Collection of Political Americana, Cornell University Library Repository: Susan H. Douglas Political Americana Collection, #2214 Rare & Manuscript Collections, Cornell University Library, Cornell University Title: A Dictionary of American Politics, Comprising Accounts of Political Parties, Measures and Men, Etc. Date Made: 1892 Measurement: Book: 7.375 x 5.25 in.; 18.7325 x 13.335 cm Classification: Publications Persistent URI: hdl.handle.net/1813.001/61mq There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source.

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Image from ?The Youth?s History of the United States, etc?, 001059471 Author: Ellis, Edward Sylvester Volume: 04 Page: 304 Year: 1887 Place: London Publisher: Cassell & Co. View this image on Flickr View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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A slide show, with texts in Ukrainian, describing Easter customs and food, using the 1st person plural of the present tense. A transcript and English translation of the text, as well as a list of vocabulary, is provided in the accompanying notes (5.1). The text can be used for reading (A1/A2) or for classwork, eliciting descriptions of students' own festivals, food and customs (A2).

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Collection: Human Ecology Historical Photographs Title: Food conservation demonstration, no date given. Appears to be in Syracuse Home Bureau thrift kitchen, but location not given. Collection #23-2-749, item AC-ER-05 Div. Rare & Manuscript Collections, Cornell University Library Persistent URI: hdl.handle.net/1813.001/5wgq There are no known U.S. copyright restrictions on this image. The digital file is owned by the Cornell University Library which is making it freely available with the request that, when possible, the Library be credited as its source.

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Image from ?Midsummer Eve: a fairy tale of love?, 001568626 Author: Hall, S. C. Mrs Page: 160 Year: 1848 Place: London Publisher: View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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Between 1909 and 1914 IMAGELIBRARY/1159 Persistent URL: archives.lse.ac.uk/dserve.exe?dsqServer=lib-4.lse.ac.uk&a...

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Image from ?History of Berrien and Van Buren Counties, Michigan. With illustrations and biographical sketches of its prominent men and pioneers?, 001059540 Author: ELLIS, Franklin. Page: 697 Year: 1880 Place: Philadelphia Publisher: D. W. Ensign & Co. View this image on Flickr View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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Left to right: ? (not on staff), ?, A. Jones, Alec Rennie, Ted Humphreys, ?, Les Cook, King, ?, ?,?, Poole, ?, ?, Williams, ?, William Wall, A. Seer, McCarthy. Picture given by A. Rennie IMAGELIBRARY/346 Persistent URL: archives.lse.ac.uk/dserve.exe?dsqServer=lib-4.lse.ac.uk&a...

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Image from ?Nouveaux voyages en zigzag a? la Grande Chartreuse, autour du Mont Blanc, dans les valle?es d'Herenz, de Zermatt, au Grimsel, a? Ge?nes et a? la Corniche, par Rodolphe To?pffer, pre?ce?de?s d'une notice par Sainte-Beuve. Illustre?s d'apre?s les dessins originaux de To?pffer, etc?, 003646307 Author: TOEPFFER, Rodolphe. Page: 258 Year: 1854 Place: Paris Publisher: View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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Image from ?The history of the parishes and manor of Colmer and Priors Dean in the County of Southampton?, 001668960 Author: HERVEY, Thomas Rector of Colmer Page: 273 Year: 1891 Place: Colmer Publisher: Privately printed View this image on Flickr View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work. Open the page in the British Library?s itemViewer (page: 000273) Download the PDF for this book

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The evolutionary relationship between human linguistic capacity and humans' emotional make-up has not, as yet, received focused attention. Was the evolution of language in our lineage possible because early hominines were emotionally different from their ancestors, and, if so, in what ways? Has language altered human emotions? We discuss and develop recent proposals that an important precondition for the evolution of human language was the evolution of social emotions in pre-linguistic humans. We suggest that as language evolved, it altered important aspects of human emotionality, leading to a co-evolutionary feedback between human linguistic ability and human emotions. Presented by Eva Jablonka, Daniel Dor, Simona Ginsburg (Cohn Institute for the History and Philosophy of Science, Tel Av Wales; http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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As the only planetary body everyone is familiar with seeing in the sky, the Moon has long been an object of fascination and speculation. This free course will teach you about the nearest planetary body to Earth: the missions to the Moon, the basic facts of its composition, the cratering on its surface, and the ancient eruptions that flooded many low-lying areas. First published on Tue, 01 Jan 2013 as The Moon. To find out more visit The Open University's Openlearn website. Creative-Commons 2013 As the only planetary body everyone is familiar with seeing in the sky, the Moon has long been an object of fascination and speculation. This free course will teach you about the nearest planetary body to Earth: the missions to the Moon, the basic facts of its composition, the cratering on its surface, and the ancient eruptions that flooded many low-lying areas. First published on Tue, 01 Jan 2013 as The Moon. To find out more visit The Open University's Openlearn website. Creative-Commons 2013

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University

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Image from ?Mr. Midshipman Easy ? With an introduction by David Hannay?, 002391161 Author: Marryat, Frederick Page: 328 Year: 1896 Place: London Publisher: Macmillan & Co. View this image on Flickr View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes&#160;the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail. The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes&#160;the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail.

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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Within twenty-four hours of the attack on the World Trade Center on September 11, 2001 politicians, artists, and cultural critics had begun to ask how to memorialize the deaths of thousands of people.&#160;This question persists today, but it can also be countered with another:&#160;is building a monument the best way to commemorate that moment in history?&#160;What might other discourses, media, and art forms offer in such a project of collective memory?&#160;How can these cultural formations help us to assess the immediate reaction to the attack?&#160;To approach these issues, "Out of Ground Zero" looks back to earlier sites of catastrophe in Germany and Japan. Within twenty-four hours of the attack on the World Trade Center on September 11, 2001 politicians, artists, and cultural critics had begun to ask how to memorialize the deaths of thousands of people.&#160;This question persists today, but it can also be countered with another:&#160;is building a monument the best way to commemorate that moment in history?&#160;What might other discourses, media, and art forms offer in such a project of collective memory?&#160;How can these cultural formations help us to assess the immediate reaction to the attack?&#160;To approach these issues, "Out of Ground Zero" looks back to earlier sites of catastrophe in Germany and Japan.

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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Image from ?The Homes of other days: a history of domestic manners and sentiments in England from the earliest known period to modern times?, 003984722 Author: Wright, Thomas Page: 244 Year: 1871 Place: London Publisher: Tru?bner & Co. View all the images from this book Following the link above will take you to the British Library?s integrated catalogue. You will be able to download a PDF of the book this image is taken from, as well as view the pages up close with the 'itemViewer?. Click on the 'related items? to search for the electronic version of this work.

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