Okay I know that this is an old video, and I know this comment is not specific to this particular video, but I have been watching a lot of your lessons about complex numbers and I'm amazed by how digestible it is. I find myself excited to wanna try to tackle some homework even tho I'm not a student and don't have any complex numbers to crunch! So thank you for making these great public resources!
Is it known that the n-sphere has radius functions that also make an n-sphere? The rose curve is an example. That also continues in the sphere and the hypersphere. It seems to have a complex number affect to it. In the sense that you raise everything by a power and still get a circle.
I propose a new system of numbers to complement the limited complex numbers which are based on i alone. My system is based on the entity "n", which is defined as |n| := -1 where |x| is the absolute value of x and is always positive. If "i" stands for "iota", then "n" stands for "nonsense". The entity "n" is represented on the third mutually-orthogonal axis. Thus, we have the real axis, the imaginary axis, and the nonsense axis to represent numbers in 3-D space. Numbers are universally represented as z = a + bi + cn
Okay I know that this is an old video, and I know this comment is not specific to this particular video, but I have been watching a lot of your lessons about complex numbers and I'm amazed by how digestible it is. I find myself excited to wanna try to tackle some homework even tho I'm not a student and don't have any complex numbers to crunch! So thank you for making these great public resources!
Understanding maths makes solving questions more comprehensible
Excellent job.... helped me through my exam
Did anyone mention that you are a life saver!!! XD
Is your life full of complex numbers beating you?
Is it known that the n-sphere has radius functions that also make an n-sphere? The rose curve is an example. That also continues in the sphere and the hypersphere. It seems to have a complex number affect to it. In the sense that you raise everything by a power and still get a circle.
I propose a new system of numbers to complement the limited complex numbers which are based on i alone. My system is based on the entity "n", which is defined as
|n| := -1 where |x| is the absolute value of x and is always positive. If "i" stands for "iota", then "n" stands for "nonsense". The entity "n" is represented on the third mutually-orthogonal axis. Thus, we have the real axis, the imaginary axis, and the nonsense axis to represent numbers in 3-D space. Numbers are universally represented as z = a + bi + cn
Sir why dont we consider i before rsin theta in |Z|.
Because "I" only shows which number runs on imaginary axis.
Hey why are boundries between -pi by 2 to plus pi divided by 2
FIRST