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Today's questions for the gentle viewer
1) Is there only one random number (stream of digits, infinite in both directions)? Does it contain all other numbers, including itself, as nontrivial subsets?
2) Can you switch the real and imaginary parts of numbers? (ie in a system of equations, or the system of all equations, including untrue ones.) What does it mean to do so? What is this question asking?
3) Has anyone plotted rationality and irrationality in the complex plane? Also, what do i mean by that question? Vague: create an algorithm that searches for the simplest fraction that approximates a real number to n digits, where n is some fixed and convenient number. If a fraction is found that exactly fits within those digits, then define the number as being n-rational, otherwise it's n-irrational. Plot each in different colors. Or measure the amount of time / iterations needed to find any fraction, and plot that as an intensity between black and white. Is the result pretty patterns? If so, add color in various ways and show me the results.
4) What would life be like if you had three real spatial dimensions x y z and three imaginary spatial dimensions? (imaginary spatial dimension = time r s t times a speed of light a b c times sqrt(-1) which is i.)
f(a,b,c,r,s,t,x,y,z) = sqrt(x2 + y2 + z2 - (iar)2 - (ibs)2 - i(ict)2) = Einstein special relativity spacetime invariant expanded. Expand to general relativity.
er, that should be
f(a,b,c,r,s,t,x,y,z) = sqrt(x2 + y2 + z2 + (iar)2 + (ibs)2 + (ict)2) = Einstein special relativity spacetime invariant expanded. Expand to general relativity.
2) Can you switch the real and imaginary parts of numbers? (ie in a system of equations, or the system of all equations, including untrue ones.) What does it mean to do so? What is this question asking?
3) Has anyone plotted rationality and irrationality in the complex plane? Also, what do i mean by that question? Vague: create an algorithm that searches for the simplest fraction that approximates a real number to n digits, where n is some fixed and convenient number. If a fraction is found that exactly fits within those digits, then define the number as being n-rational, otherwise it's n-irrational. Plot each in different colors. Or measure the amount of time / iterations needed to find any fraction, and plot that as an intensity between black and white. Is the result pretty patterns? If so, add color in various ways and show me the results.
4) What would life be like if you had three real spatial dimensions x y z and three imaginary spatial dimensions? (imaginary spatial dimension = time r s t times a speed of light a b c times sqrt(-1) which is i.)
f(a,b,c,r,s,t,x,y,z) = sqrt(x2 + y2 + z2 - (iar)2 - (ibs)2 - i(ict)2) = Einstein special relativity spacetime invariant expanded. Expand to general relativity.
er, that should be
f(a,b,c,r,s,t,x,y,z) = sqrt(x2 + y2 + z2 + (iar)2 + (ibs)2 + (ict)2) = Einstein special relativity spacetime invariant expanded. Expand to general relativity.