Good job explaining. I was searching to find an equivalent Persian word for Surjective and Bijective and came across your video. I have two comments: please use a pointer or at least a pen or pencil when pointing to equations, and second, your voice is good, but it sounds a bit muffled [ Sorry, this word "muffled " was missing from my original post, which ruined the whole purpose of my comment. My apologies!] . If your mic is closer, it may produce even better sound. Anyhow, good job, and good luck Ramis Khanoom.
@@Math20242 Great. Also, please read my updated comment. For some reason, the word 'muffled' had been deleted. Despite that, you understood by inference. That shows you are one smart lady! As an old-timer, I read and solve math problems just for fun and curiosity that I still have. I find solving problems and learning new things to be really enjoyable. Lastly, I recommend always sharing your references used to make the video; this would help your viewers. For example, below is the link to a similar subject that I was researching before I bumped into your channel. Sharing references allows others to explore the topic further and deeper. You may also like this book published by the University of Pennsylvania, authored by Jean Gallier and Jocelyn Quaintance. The book's title is 'Algebra, Topology, Differential Calculus, and Optimization for Computer Science and Machine Learning.' www.cis.upenn.edu/~jean/math-deep.pdf
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Good job explaining. I was searching to find an equivalent Persian word for Surjective and Bijective and came across your video. I have two comments: please use a pointer or at least a pen or pencil when pointing to equations, and second, your voice is good, but it sounds a bit muffled [ Sorry, this word "muffled " was missing from my original post, which ruined the whole purpose of my comment. My apologies!] . If your mic is closer, it may produce even better sound. Anyhow, good job, and good luck Ramis Khanoom.
Here is a site that explains (پوشا (به انگلیسی: Surjective fa.wikipedia.org/wiki/%D8%AA%D8%A7%D8%A8%D8%B9_%D9%BE%D9%88%D8%B4%D8%A7
I hope this playlist can help you th-cam.com/play/PLnmXvhDbN5cTubhOnX7xrPUry7nD2lMaY.html
Glad it was helpful!
thank you for your suggestions, I agree with you, but now I don't have the conditions
@@Math20242 Great. Also, please read my updated comment. For some reason, the word 'muffled' had been deleted. Despite that, you understood by inference. That shows you are one smart lady!
As an old-timer, I read and solve math problems just for fun and curiosity that I still have. I find solving problems and learning new things to be really enjoyable.
Lastly, I recommend always sharing your references used to make the video; this would help your viewers. For example, below is the link to a similar subject that I was researching before I bumped into your channel. Sharing references allows others to explore the topic further and deeper. You may also like this book published by the University of Pennsylvania, authored by Jean Gallier and Jocelyn Quaintance. The book's title is 'Algebra, Topology, Differential Calculus, and Optimization for Computer Science and Machine Learning.' www.cis.upenn.edu/~jean/math-deep.pdf