Канал: Problemathic - Смотреть видео c канала или скачать видео c канала в MP4, музыку MP3 на телефон или компьютер.

$An animation of the Julia set for different values of c! #maths #science #fractal$

Product measures | Motivation and Properties

Problemathic

Problemathic

Product measures | Motivation and Properties

Lusin's Theorem | What does it mean? | Proof

Folland Exercise 2.4.42 | Measure Theory

Folland Exercise 2.4.33 | Measure Theory

Is Egorov's Theorem true for infinite measures? | Checking the hypothesis | Examples

Egorov's Theorem | Almost everywhere and uniform convergence | Proof

Does Cauchy in measure imply convergence? | Convergence in Measure and L1

More types of convergence | Convergence in measure

What does it mean to converge? | L1 and pointwise a.e. convergence

Folland Exercise 2.3.27 | Measure Theory

Folland Exercise 2.3.26 | Measure Theory

Folland Exercise 2.3.19 | Measure Theory

The most important convergence theorem | Dominated Convergence

Integrating any function and defining L1 spaces | Properties

Munkres Exercises 4.34.3 | Topology

Folland Exercise 2.2.13 | Measure Theory

The most important Theorem in Topology | Urysohn Metrisation theorem

A very important convergence theorem! Fatou's Lemma | Proof

Munkres Exercises 4.33.8 | Topology

The Monotone Convergence Theorem | Consequences | Measure Theory

The most important lemma in Topology | Urysohn Lemma | Part 2

Folland Exercise 2.2.12 | Measure Theory

The most important lemma in Topology | Urysohn Lemma | Part 1

The Monotone Convergence theorem | Proof | Measure Theory

Every Metrisable space is normal | Proof | Topology

Lebesgue Integration | Non-negative functions | Measure Theory

An animation of the Julia set for different values of c! #maths #science #fractal

Regular + 2° Countable? | On the way to Uryshon's Metrization Theorem | Topology

Approximating Measurable Functions| Simple Functions | Measure Theory

Munkres Exercises 4.31.4 | Topology

Is the Sorgenfray Plane Normal? | Regular and Normal spaces | Topology

Examples of Separability axioms | Rk and Rl | Topology

Separability axioms | Hausdorff - Regular - Normal | Topology

Is the product of Lindelöf spaces Lindelöf? | Rl is Lindelöf | Topology

Countability axioms | Part 2 | Topology

Countability axioms | Part 1 | Topology

Limit point compactness - Definition and Properties | Topology

Munkres Exercises 3.26.7 and 8 | Topology

Product of compact spaces and the tube lema | Proofs | Topology

Compact spaces - Subspaces and Properties | Topology

Compact spaces - Definition and Examples | Topology

Munkres Exercise 3.24.10 | Topology

Is the ordered square path connected? | Path Connected spaces | Topology

Munkres Exercise 3.24.2 | Topology

The Intermediate value theorem | Explanation and Proof | Topology

Are these two spaces connected? | Topology

Connected sets - Properties with Proofs | Topology

Connected sets - Definition and Examples | Topology

Munkres Exercise 2.20.5 | Topology

Munkres Exercise 2.20.4 b | Topology

Munkres Exercise 2.20.4 a | Topology

Euler's Identity

The Product Topology is Metrisable | With Proofs | Topology

The Uniform Metric - Comparison with Box and Product | Topology

The Metric Topology - Definition and Examples | Topology

Munkres Exercise 2.19.7 | Topology

Continuity in the Product Topology | Topology

Box and Product Topologies - Definitions and Comparison | Topology

Munkres Exercise 2.18.13 | Topology

Munkres Exercise 2.18.8 | Topology

Building Continuous Functions - Pasting lemma and more | Topology

Continuity - Equivalent definitions with Proofs | Topology

Munkres Exercise 2.17.14 | Topology

Munkres Exercise 2.17.13 | Topology

Hausdorff spaces - Properties with proofs | Topology

Limits - Hausdorff spaces and Convergence | Topology

Limit points - Definition - Closure of sets | Topology

Munkres Exercise 2.17.6 | Topology

Closure and interior - Definitions and Important Theorem | Topology

Munkres Exercise 2.17.4 | Topology

Closed sets - Properties with Proofs | Topology

Closed sets - Definition and Examples | Topology

Munkres Exercises 2.16.7 and 2.16.9 | Topology

Subspace vs Order - Differences between topologies | Topology

Subspace vs Product - Differences between topologies | Topology

Munkres Exercise 2.16.1 | Topology

The Subspace Topology - Definition - Examples - Properties | Topology