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ArishMell · 70-79, M
If you mean could I perform mathematics to that level... no!
I could manage the third example - I recall as the general formula for solving quadratic equations.
They, and that formula, were in my Maths course at school. So were basic Trigonometry and an introduction to Calculus (both Differentiation and Integration) but certainly not to those levels. It did not include Series, as far as I remember.
So I could not prove your Eqn, 1 to my own satisfaction. I've an idea I have seen a related piece of numerical mysticism that manages to connect pi, e and i (the imaginary thing). Looks pretty but has no practical use!
At least (pi/4) does have a real-world purpose and I have used it occasionally - its first four digits, 0.7854, even sit in a very neat little pattern on the calculator keypad, a sheer fluke making them easy to remember and use!.
In a later Mathematics course I took as an adult student and ending with the standard school examination, we were introduced to Functions. I could never grasp that strange business about many-to-one etc; and I was never sure if they were not just standard equations written in a rather pretentious way to make them Even Harder! So with the Series operator as well your Example 2 is impossible for me. What does it calculate, or what is it for, by the way, or is it simply a puzzle by and for Doctors of Mathematics?
(You may have gathered I like my Maths to have real uses, such as in Engineering and the Sciences of real things. I've long thought there is a breed of Pure Mathematicians dedicated to finding the most arcane and hardest sums of the least use to anyone, or preferably of no use at all!)
I could manage the third example - I recall as the general formula for solving quadratic equations.
They, and that formula, were in my Maths course at school. So were basic Trigonometry and an introduction to Calculus (both Differentiation and Integration) but certainly not to those levels. It did not include Series, as far as I remember.
So I could not prove your Eqn, 1 to my own satisfaction. I've an idea I have seen a related piece of numerical mysticism that manages to connect pi, e and i (the imaginary thing). Looks pretty but has no practical use!
At least (pi/4) does have a real-world purpose and I have used it occasionally - its first four digits, 0.7854, even sit in a very neat little pattern on the calculator keypad, a sheer fluke making them easy to remember and use!.
In a later Mathematics course I took as an adult student and ending with the standard school examination, we were introduced to Functions. I could never grasp that strange business about many-to-one etc; and I was never sure if they were not just standard equations written in a rather pretentious way to make them Even Harder! So with the Series operator as well your Example 2 is impossible for me. What does it calculate, or what is it for, by the way, or is it simply a puzzle by and for Doctors of Mathematics?
(You may have gathered I like my Maths to have real uses, such as in Engineering and the Sciences of real things. I've long thought there is a breed of Pure Mathematicians dedicated to finding the most arcane and hardest sums of the least use to anyone, or preferably of no use at all!)