Search for tag: "theory"

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20:28 Measure Theory (11/15) - Properties of measures… Measure Theory (11/15) - Properties of measures (1/2)	Measure Theory (11/15) - Properties of measures (1/2) Deduction of standard properties of measures from the two axioms: finite additivity; monotonicity; countable subadditivity. Continuity properties of measures stated and discussed. For more… further topics in analysis measure theory From Joel Feinstein on April 12th, 2020 0 likes 10 plays 0
23:08 Measure Theory (10/15) - Measurable spaces,… Measure Theory (10/15) - Measurable spaces, measurable sets, measures and measure spaces (2/2)	Measure Theory (10/15) - Measurable spaces, measurable sets, measures and measure spaces (2/2) Terminology: countable additivity, pairwise disjoint unions. Notation for pairwise disjoint unions. Examples and constructions of measures: counting measure; combinations of measures; the biggest… further topics in analysis measure theory From Joel Feinstein on April 12th, 2020 0 likes 13 plays 0
10:31 Measure Theory (9/15) - Measurable spaces,… Measure Theory (9/15) - Measurable spaces, measurable sets, measures and measure spaces (1/2)	Measure Theory (9/15) - Measurable spaces, measurable sets, measures and measure spaces (1/2) Measurable spaces and measurable sets. Brief discussion of length, area and volume, the idea behind Lebesgue measure, and some of the issues. The definition of a (non-negative) measure on a… further topics in analysis measure theory From Joel Feinstein on April 12th, 2020 0 likes 18 plays 0
31:39 Measure Theory (8/15) - The sigma-algebra… Measure Theory (8/15) - The sigma-algebra generated by a collection of subsets (2/2)	Measure Theory (8/15) - The sigma-algebra generated by a collection of subsets (2/2) Properties of the sigma-algebra on a set X generated by a collection of subsets. Methods for showing inclusion or equality of sigma-algebras generated by two different collections of subsets. The… further topics in analysis measure theory From Joel Feinstein on April 12th, 2020 0 likes 19 plays 1
25:53 Measure Theory (5/15) - Collections of sets (1/2) Measure Theory (5/15) - Collections of sets (1/2)	Measure Theory (5/15) - Collections of sets (1/2) Sets of sets, which we call collections of sets.Comparison of the properties of some collections of sets, including topologies, and the collection of closed sets in a topological space.Definition, … further topics in analysis measure theory From Joel Feinstein on April 9th, 2020 0 likes 17 plays 1
14:47 Measure Theory (4/15) - The algebra of limits Measure Theory (4/15) - The algebra of limits	Measure Theory (4/15) - The algebra of limits The algebra of limits for sums of sequences of non-negative extended real numbers. The algebra of limits for products, and its limitations, for sequences of non-negative extended real numbers. For… further topics in analysis measure theory From Joel Feinstein on April 9th, 2020 0 likes 12 plays 0
21:42 Measure Theory (3/15) - Arithmetic and series in… Measure Theory (3/15) - Arithmetic and series in the non-negative extended real numbers	Measure Theory (3/15) - Arithmetic and series in the non-negative extended real numbers Addition and multiplication for non-negative extended real numbers. Problems with the cancellation laws. Series of non-negative extended real numbers. Some discussion of problems with the algebra of… further topics in analysis measure theory From Joel Feinstein on April 9th, 2020 0 likes 17 plays 0
15:25 Measure Theory (2/15) - The extended real line… Measure Theory (2/15) - The extended real line (2/2)	Measure Theory (2/15) - The extended real line (2/2) Discussion of convergence to infinity for sequences of non-negative extended real numbers. Monotone sequences (nondecreasing or nonincreasing) and the Monotone Sequence Theorem for the extended real… further topics in analysis measure theory From Joel Feinstein on April 9th, 2020 0 likes 16 plays 0
14:42 Measure Theory (1/15) - The extended real line… Measure Theory (1/15) - The extended real line (1/2)	Measure Theory (1/15) - The extended real line (1/2) An introduction to the extended real line, with its total order (extending the total order on the real line), and a metric (induced, via a suitable bijection, by the usual metric on [-1,1]). Brief… further topics in analysis measure theory From Joel Feinstein on April 9th, 2020 0 likes 24 plays 1
11:06 Measure Theory (7/15) - The sigma-algebra… Measure Theory (7/15) - The sigma-algebra generated by a collection of subsets (1/2)	Measure Theory (7/15) - The sigma-algebra generated by a collection of subsets (1/2) Audio narration (with digital pointer) to go with Slide 37 of G14FTA where the original recording failed. Brief discussion of how to generate a topology from a collection of sets (as a sub-base), and… further topics in analysis measure theory From Joel Feinstein on February 22nd, 2017 0 likes 61 plays 0
07:55 Measure Theory (6/15) - Collections of sets (2/2) Measure Theory (6/15) - Collections of sets (2/2)	Measure Theory (6/15) - Collections of sets (2/2) Audio narration (with digital pointer) to go with the annotations of slides 35-36 from G14FTA Further Topics in Analysis, where the original recording failed. More examples of σ-algebras:… further topics in analysis measure theory From Joel Feinstein on February 22nd, 2017 0 likes 45 plays 0
11:22 Why Study St Augistine of Hippo with John Milbank Why Study St Augistine of Hippo with John Milbank	Why Study St Augistine of Hippo with John Milbank Augustine was born in Roman North Africa in 354 and died as Bishop of Hippo, also in North Africa, in 430. He was one of the most prolific Christian writers of all time and all western Christian… discord discourse nottingham theology religion christianity society world jesus christ gospel john milbank simon oliver ethics politics grace catholic protestant thagaste relations social theory psychological analogy trinity harmony paradox reconciliation passions evil violence original sin peace state pilgrimage community church city god international commonwealth brexit pelagius pelagianism beauty participation origen eriugena incarnation deification theosis heaven hell pythagoreans neoplatonists good creation freedom punishment From Simon Barnett on June 3rd, 2016 0 likes 11 plays 0
01:34 M12101 Social and Global Justice M12101 Social and Global Justice	M12101 Social and Global Justice M12101 Social and Global Justice with David Stevens the university of nottingham politics international relations theory justice social justice global justice module fair From John Pollock on March 31st, 2015 0 likes 809 plays 0
01:54 M13211 The Rights and Wrongs of Climate Change M13211 The Rights and Wrongs of Climate Change	M13211 The Rights and Wrongs of Climate Change M13211 The Rights and Wrongs of Climate Change with Matthew Rendall the university of nottingham politics climate change theory module fair From John Pollock on March 9th, 2015 0 likes 430 plays 0
02:04 M13107 Feminist Political Theory M13107 Feminist Political Theory	M13107 Feminist Political Theory M13107 Feminist Political Theory with Lucy Sargisson the university of nottingham politics feminism political theory module fair From John Pollock on March 9th, 2015 0 likes 125 plays 0