📝 Find more here: [ Ссылка ]
👍 Support the channel on Steady: [ Ссылка ]
Other possibilities here: [ Ссылка ]
You can also support me via PayPal: [ Ссылка ]
Or via Ko-fi: [ Ссылка ]
Or via Patreon: [ Ссылка ]
Or via other methods: [ Ссылка ]
Join this channel on YouTube: [ Ссылка ]
💬 Access to the community forum: [ Ссылка ]
🕚 Early access for videos: [ Ссылка ]
❓ FAQ: [ Ссылка ]
🛠️ What tools do you use: [ Ссылка ]
Please consider to support me if this video was helpful such that I can continue to produce them :)
Each supporter gets access to the additional material. If you need more information, just send me an email: [ Ссылка ]
Watch the whole video series about Probability Theory and download PDF versions, quizzes and exercises: [ Ссылка ]
Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: [ Ссылка ]
🌙 There is also a dark mode version of this video: [ Ссылка ]
🔆 There is also a bright mode version of this video: [ Ссылка ]
🔆 To find the YouTube-Playlist, click here for the bright version: [ Ссылка ]
🌙 And click here for the dark version of the playlist: [ Ссылка ]
🙏 Thanks to all supporters! They are mentioned in the credits of the video :)
This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it.
This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos.
In this video, I explain the definition of a sigma algebra and the notion of a probability measure. Both are needed for the rest of the course.
00:00 Idea of a probability measure
01:40 Requirements
04:19 Sigma algebra
05:50 Sigma additivity
06:31 Definition probability measure
07:22 Example
08:57 Exercise about properties of probability measures
09:30 Outro
#ProbabilityTheory
#Analysis
#Calculus
#Mathematics
I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
For questions, you can contact me: [ Ссылка ]
The Bright Side of Mathematics has whole video courses about different topics and you can find them here [ Ссылка ]
Ещё видео!