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International relations: exploring territorial divisions
Society, Politics & Law

International relations: exploring territorial divisions

...division, focusing on territory. Divisions over territory have often lied at the heart of global problems like conflict, and in the following pages you will learn about the roots of some of the lines on the map we see today...In this short taster course, drawn from part 1 of the MA in International Relations (D818), you will be introduced to the idea of international...
England v Scotland: A Celebration of Togetherness or Division?
Health, Sports & Psychology

England v Scotland: A Celebration of Togetherness or Division?

What impact have recent political changes had on the traditional England and Scotland rivalry? Alex Twitchen explores in this article...On 18 June 2021, England and Scotland will play each other at Wembley in a Euro 2020 Group D fixture. While the two national sides last met in 2017 during the World Cup 2018 qualification campaign this will be the first time they have...
Rings and polynomials
Science, Maths & Technology

Rings and polynomials

...division algorithm, and this enables us to develop the analogue of the highest common factor for two polynomials. Section 1 explores the abstract definitions of a ring and a field. Sections 2 and 3 define polynomial rings where the coefficients of the polynomials are elements from a given field. Section 3 develops results concerning the divisibility of polynomials...This...
Level 2: Intermediate 16 hrs
Number theory
Science, Maths & Technology

Number theory

...divisibility. The Division Algorithm, concerning the division of one integer by another, is used. Its consequences, both practical and theoretical, make it a cornerstone of number theory. Section 4 explores some of the basic properties of the prime numbers and introduces the sieve of Eratosthenes...This free course is an introduction to Number Theory. Section 1 provides a...
Level 2: Intermediate 16 hrs
Ireland and the Battle of The Somme
OpenLearn Ireland

Ireland and the Battle of The Somme

...Division War provided northern unionists with an opportunity to demonstrate their loyalty to Empire, and the War Office agreed to raise an army unit from the Ulster Volunteer Force, the 36th (Ulster) Division. It arrived in France in October 1915, and its initiation into the field of battle was on the first day of the Somme; 1st July was the original anniversary of the...
Introduction to number theory
Science, Maths & Technology

Introduction to number theory

...division in modular arithmetic, and their use in solving linear congruences which are used in cryptography for disguising information or ciphers. Please note: a Statement of Participation is not issued for this course...This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s...
Level 1: Introductory 18 hrs
Integrated education in Northern Ireland - or divide and sectarianism?
Society, Politics & Law

Integrated education in Northern Ireland - or divide and sectarianism?

...divisions?...[Children jumping] The unveiled and direct attacks this week between the DUP leader and First Minister Peter Robinson and a senior Catholic bishop, Donal McKeown, have once again raised the thorny and entangled issue of the role of education in Northern Ireland as either a vehicle for social cohesion or one of perpetuating community divisions. The DUP’s...
Looking at population data
Society, Politics & Law

Looking at population data

...Division. You can find the data he described on the World Population Prospects webpage. If you want to download copies of the data, from the Online Database area in the navigation bar on the left-hand side of the page, select Detailed Indicators then from the form that is displayed choose Population by five-year age group and sex to get the data. The data can be...