3.3 Operations in modular arithmetic

The Division Algorithm tells us that all the possible remainders on division by an integer n lie in the set

We denote this set by Author(s): The Open University

3.2 Congruence

The Division Algorithm tells us that, when we divide any integer by a positive integer n, the set of possible remainders is {0, 1, 2, …, n − 1}. Integers which differ by a multiple of n have the same remainder on division by n and are, in this sense, ‘the same’ as each other. We now
Author(s): The Open University

A 360 degree view at 322 kilometers an hour
The world's first spherical 360-degree camera made by a Norwegian company is attached to a Formula One car, and could herald a change in the way racing is filmed in the future. Joel Flynn reports.
Author(s): No creator set

Creating complex art with the Shape Builder tool
Create complex art from simpler basic shapes by using the Shape Builder tool in Illustrator CS5.
Author(s): No creator set

21L.002X Foundations of World Culture II: World Literatures and Texts (MIT)
This class continues our study of the foundational texts of human culture, focusing on early modernity until the recent past. In many ways, this includes several questions such as: Why did these works achieve the fame and influence they achieved? How do they present what it means to be a human being? How do they describe the role of a member of a family, community, tradition, social class, gender? How do they distinguish between proper and improper behavior? How do they characterize the members
Author(s): Hayek, Ghenwa

GS-05: コードスニペットを利用したActionScript3.0のコーディング
このビデオではFlash Professionalのコードスニペットを用いてActionScript 3.0のコードを素早く記述する方法を学習します。
Author(s): No creator set

Hatching Owlets
A snowy owl pair has made a nest and before long, their owlets begin to hatch in this clip from Nature.  (01:27)
Author(s): No creator set

"The Typewriter"- Leroy Anderson Martin Breinschmid with Strauß Festival Orchestra Vienna
This is a recording of the Viennese Percussionist Martin Breinschmid with his version of the "Typewriter". Live at the BASF concert hall Ludwigshafen,Germany 2008,Strauß Festival Orchestra Vienna.  (02:11)

Author(s): No creator set

Grammar Vids for Kids: Run-On Sentences
What is a run-on sentence? Einstein explains this common grammar error, and he shows how to fix a run-on sentence through proper punctuation.  (03:48)
Author(s): No creator set

150 Years of Transatlantic Cable
To commemorate the 150th anniversary of the inauguration of the first transatlantic telegraph cable, a prestigious black-tie event took place in New York. TelecomTVs Martyn Warwick delivers this special report.  (03:30)

Author(s): No creator set

The Transatlantic Cable
This is a short video on the transatlantic cable for the Maritime Museum Project.  (01:59)
Author(s): No creator set

Grammar Vids for Kids: How to Use Semicolons
What are semicolons and how do you use them? Einstein explains what semicolons are and how you can use them to make your writing clearer and easier to read. He also shows how you can use a semicolon to fix a comma splice. And he teaches Jimmy how to
dance. An Inkwell Media Production.  (05:30)

Author(s): No creator set

Jonathan Perry

Recorded 10/11/12

60 Seconds With.......Professor Clare Kelliher - Employee Engagement
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Author(s): No creator set

Secrets of the Great Barier Reef - Colors of the Sea
Creatures of the deep use color to protect themselves and to express themselves! (02:05)
Author(s): No creator set

16.01.2013 – Langsam gesprochene Nachrichten
Trainiere dein Hörverstehen mit den Nachrichten der Deutschen Welle von Mittwoch – als Text und als verständlich gesprochene Audio-Datei. *** In Mali wollen die französischen Truppen nun mit Panzern gegen die Islamisten vorgehen. Von der Hauptstadt Bamako aus machte sich ein Panzerkonvoi auf den Weg Richtung Norden, wie die französische Nachrichtenagentur AFP berichtete. Aktivitäten französischer Bodentruppen wurden auch aus Niono gemeldet. Von dort hätten sich hunderte französische
Author(s): No creator set

Mid-level spreadsheeting and complex modeling of real-world scarp evolution
This lab activity is a familiarization exercise in spreadsheet modeling, and is also a mathematical model for slope evolution. It aims to familiarize students with moderately complex Excel manipulations, reinforce good technical graphical techniques, and introduce basic mathematical modeling of natural systems. This exercise is designed for an upper-level undergraduate geomorphology course. Learning goals, context for use, teaching tips, materials, assessment tips and related resources are provi
Author(s): No creator set

Computer Renderings ? ?Reality is Overrated?
In this paper, two problems concerning truthfulness of computer-generated visualization are considered. The first one concerns relationships between reality and its representation by computer renderings. The second problem concerns the kind of representations people need. These problems are analyzed for static perception of architectural forms based on computer visualization, and for dynamic walk-through perception of urban space. The thesis of the paper is that many photorealistic renderings ar
Author(s): Asanowicz, Alexander

Towards automatic glossarization: automatically constructing and administering vocabulary assistance
We address an important problem with a novel approach: helping children learn words during computer-assisted oral reading. We build on Project LISTEN's Reading Tutor, which is a computer program that adapts automatic speech recognition to listen to children read aloud, and helps them learn to read (http://www.cs.cmu.edu/~listen). In this paper, we focus on the problem of vocabulary acquisition. To learn a word from reading with the Reading Tutor, students must first encounter the word and then l
Author(s): Aist Gregory