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Real Eq's from Complex and visa-versa
- Complex Integration - The Easy Way
- x^n planes
- Any Complex logarithm of any first degree complex Number
- Complex log of ANY complex root (n must be real)
- Surface and real Equations for arbitrary complex square root
- Real equations for the Complex Cubic Root
- The second and third degree graph of a 1 degree comp. number
- The complex 4th root. Positive reals only (a>0)
- All eq graphs for complex fourth, a>1, b<270deg
- Real eq's for a complex inverse. "lungs and circles"
- Real EQs for Complex Inverse Square Root
- Complex inverse cube root
- Real Equations for the complex... squared cube root? Sure.
- Real equations for z+z^(1/2)
- Magical Egg
- Geometric Eggs, crafted from a cone and a "complex" circle
- Erf from a complex plane (sorta)- no integration required
- Complex Equations for sin,cos, and tan
- An elliptical equation derived from circles
Real Eq's from Complex and visa-versa
KwolZ, Jul 17, 2021
Closed form, graphical solutions to "elementary" complex functions utilizing two (or more) sets of equations: [f,g](x),-[f,g](x),[f,g](-x),-[f,g](-x): and equations derived from real objects, but utilizing the same partial differential "thing" that makes the other graphs work for some reason. Very little makes sense to me, but I think these look really cool and can be fun to solve, even if I don't know why I did certain things (or why those things worked). So the equations that I find that actually work, or at least seem to do what I was aiming for in some way, are now going to go in this book. So are random things I decide to do with complex numbers. Those will (probably) have separate explanations for each, that way some amount of reason can come from my shenanigans.
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1. Complex Integration - The Easy Way
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2. x^n planes
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3. Any Complex logarithm of any first degree complex Number
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4. Complex log of ANY complex root (n must be real)
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5. Surface and real Equations for arbitrary complex square root
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6. Real equations for the Complex Cubic Root
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7. The second and third degree graph of a 1 degree comp. number
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8. The complex 4th root. Positive reals only (a>0)
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9. All eq graphs for complex fourth, a>1, b<270deg
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10. Real eq's for a complex inverse. "lungs and circles"
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11. Real EQs for Complex Inverse Square Root
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12. Complex inverse cube root
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13. Real Equations for the complex... squared cube root? Sure.
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14. Real equations for z+z^(1/2)
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15. Magical Egg
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16. Geometric Eggs, crafted from a cone and a "complex" circle
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17. Erf from a complex plane (sorta)- no integration required
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18. Complex Equations for sin,cos, and tan
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19. An elliptical equation derived from circles
Complex Integration - The Easy Way
