Thank you so much. It was really very helpful and I must say the view behind you was the icing on the cake. (Imagining myself being there and studying mathematics.)
say a point C, is removed i.e. M= ℝ𝑃²-{C} “A pair of straight lines in M passing through the point C have no intersection in M, neither finite or infinite”. How does this statement sound in ℝ² terms?
Hello, Solving a linear system of two equations in two unknows is interpreted as finding the point(s) of intersection between two straight lines in the real plane ℝ², with three possible outcomes: no intersection, one intersection point, and a whole line. What are the corresponding interpretation and outcomes in ℝP²?
In the real plane ℝ², one can define the a relation for three collinear points (as a point is between the two others). Is this relation can defined for three collinear points in ℝP²?
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Not sure why it's so hard to find an explanation of this online, but so glad I finally found this amazing explanation. Thanks!
I am glad to help!:)
Such a great video! I was looking for ages to an intuitive explanation for this concept!! thank you very much sir!
Thank you for watching! Yeah, I love this subject!
Very intuitive compared to Wikipedia's entry, thank you!
Thank you for watching!
Thank you so much. It was really very helpful and I must say the view behind you was the icing on the cake. (Imagining myself being there and studying mathematics.)
Glad it was helpful!
Thank you for making this!
Thank you for watching
Great video
Thank you!!
Thank you very much man, been struggling over this for hours
Thanks for this! Really great, never thought about twisting the loop to glue the remaining points. This really put it together for me!!
Thank you! I am glad that you found this video useful:)
Love this
Thank you!!!
you are a lifesaver .
Phenomenal explanation!!
Awesome!!:))
say a point C, is removed i.e. M= ℝ𝑃²-{C}
“A pair of straight lines in M passing through the point C have no intersection in M, neither finite or infinite”. How does this statement sound in ℝ² terms?
I am not completely sure what the question is asking to be honest. Is this from a book?
@@MathForLife it is actually from a homework that i find difficulty to understand
I understand how there should exist a bijection between RP1 and S1, but how would you formally define a function to demonstrate it? Thank you!
Great video! Thanks! Where can I find a similar analysis for CP^1?
Thanks! I don't know,, you can try to find this stuff on other channels. I will cover RP^2 first and then move to CP^1.
Hello,
Solving a linear system of two equations in two unknows is interpreted as finding the point(s) of intersection between two straight lines in the real plane ℝ², with three possible outcomes: no intersection, one intersection point, and a whole line. What are the corresponding interpretation and outcomes in ℝP²?
All lines that have the same slope will correspond to a single point in RP^2.
In the real plane ℝ², one can define the a relation for three collinear points (as a point is between the two others). Is this relation can defined for three collinear points in ℝP²?
About what relation are you talking about?
I mean if we have three collinear points in RP² can we see them as a point is between the two others?
After gluing antipodal point of circle we should get RP1 that is some line passing through the origin? Which is definition of RP*2
Thank you!
Wow
Sorry for asking so much questions, can you please help me asap, thank you in advance.
i feel this one, you didnt prepare well.
I record most of my videos without preparation i.e. with one take. However, I prepare topology series.